The table shows the weights of 10 newborn pygmy marmosets meke a line plot to display the data. How many pygmy marmosets weigh more than 1/2 ounce ?

Answers

Answer 1

After closely analyzing the line graph, it can be seen that the number of pygmy marmosets weighing more than 1/2 ounce are 8.

To create a line plot, we plot each weight of the each pygmy marmosets on the y-axis and the pygmy marmoset number on the x-axis, which will be ultimately being connected using the points with a line.

After ploting the each mentioned weights (in ounces ) and taking a close study of the plotted line graph,  we can see that there are total 8 pygmy marmosets which are weighing more than 1/2 ounce.

Therefore, the total number of pygmy marmosets with weight more than 1/2 ounces are 8.

Learn more about Line Graph :

https://brainly.com/question/31123430

#SPJ4

The complete question is :

The table shows the weights of 10 newborn pygmy marmosets make a line plot to display the data. How many pygmy marmosets weigh more than 1/2 ounce ?

Pygmy Marmoset      Weight (ounces)

1                                 0.4

2                                 0.5

3                                 0.6

4                                 0.7

5                                 0.8

6                                 0.9

7                                 1.0

8                                 1.1

9                                 1.2

10                                 1.3

The Table Shows The Weights Of 10 Newborn Pygmy Marmosets Meke A Line Plot To Display The Data. How Many

Related Questions

-. If f(x) = x² + 3x-2, find f(x) when x = -2

Answers

Answer:

-4

Step-by-step explanation:

substitute -2 into the formula and solve

[tex]f(x)=(-2)^2+3(-2)-2\\f(x)=4+(-6)-2\\\boxed{f(x)=-4}[/tex]

what is the answer to this problem. solve x

Answers

Sin30=X/4
1/2=X/4
4/2=X
2=X
X=2

1(1/2)= 1 1/2 draw number line and represent this

Answers

     |-----|-----|-----|----|-----|-----|--│--|-----|----|-----|

    -5   -4   -3   -2   -1    0    1   │  2    3    4    5

                                            1 1/2

On this number line, the tick mark labeled "1 1/2" is located halfway between the integer values of 1 and 2.

To represent the number 1 1/2 on a number line, we need to draw a horizontal line with evenly spaced tick marks. Each tick mark represents a specific value on the number line. Since 1 1/2 is a mixed number that includes a whole number (1) and a fraction (1/2), we need to locate it between the integer values of 1 and 2. The tick mark for 1 1/2 should be halfway between these two integers, which means it would be located at the midpoint of the line segment that connects the tick marks for 1 and 2. By placing the tick mark for 1 1/2 in the correct position on the number line, we can accurately represent this number visually.

Learn more about the number line: brainly.com/question/16191404

#SPJ4

factorise (x-3)²-(x-3)²​

Answers

Step-by-step explanation:

(x-3)²-(x-3)²

=(x2-6x+9) - (x2-6x+9)

=x2-6x+9-x2+6x-9

=0

the cylinder has a volume of 45 cubic inches and a height of 5 inches what is the raduis of the cylinder

Answers

The radius of the cylinder is 3 inches.

What is the volume of a cylinder?

A cylinder is a three-dimensional solid with two parallel circular bases and a curved lateral surface connecting the two bases. The volume of a cylinder is given by the formula [tex]V = \pi r^2h[/tex], where r is the radius of the base, h is the height of the cylinder, and π is a constant value approximately equal to 3.14.

Calculating the value of radius :

We are given that the cylinder has a volume of 45 cubic inches and a height of 5 inches. Using the formula for the volume of a cylinder, we get:

[tex]V = \pi r^2h[/tex]

Substituting the given values, we get:

[tex]45 = \pi r^2(5)[/tex]

Simplifying the equation, we get:

[tex]9 = r^2[/tex]

Taking the square root of both sides, we get:

[tex]r = \pm 3[/tex]

Since the radius cannot be negative, we take the positive value of r, which is:

r = 3 inches

Therefore, the radius of the cylinder is 3 inches.

To know more about cylinder visit :

brainly.com/question/16134180

#SPJ1

What is the measure of ∠D? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth. m∠D= ° A right triangle B C D. Angle C is marked as a right angle. Side B C is labeled as 25 feet. Side C D is labeled as 45 feet.

Answers

Therefore, the measure of ∠D is approximately 60.96 degrees.

What is measure?

A measure is a function that assigns a number to each set in a given space, typically with the goal of describing the size or extent of the set. For example, the Lebesgue measure is a way of assigning a "volume" to sets in n-dimensional Euclidean space.

by the question.

To find the measure of ∠D in a right triangle with sides of 25 feet and 45 feet, we can use the inverse tangent function:

[tex]tan(∠D) = opposite/adjacent = CD/BC = 45/25[/tex]

Taking the inverse tangent of both sides, we get:

[tex]∠D = tan⁻¹(45/25) = 60.95 degrees[/tex]

Rounding this to the nearest hundredth, we get:

[tex]angleD = 60.95 degrees =60.96 degree.[/tex]

To learn more about tangent:

https://brainly.com/question/19064965

#SPJ1

Como le hago ayuda aaaa

Answers

When the area is constant, the proportionality constant, 48, reflects the sum of the base and height.

What does the proportionality constant mean?

When two quantities grow and shrink at the same rate, they are directly proportional. The proportionality constant k is defined as k=y/x when y and x are two numbers that are directly proportional to one another.

Using the formula for the area of a rectangle, we can determine the missing data in the table:

Area = base x height

The missing values can be located as follows using the values listed in the table:

Base (b) Height (h) Area

24 2 48

3 8 24

8 3 24

4 6 24

We can apply the inverse variation formula to find the constant of proportionality:

y = k/x

This equation can be changed in order to account for k:

k = xy

Using any pair of values from the table, we can find k as follows:

k = xy = 24(2) = 48

Hence, 48 is the proportionality constant. It is possible to verify that this value applies to all of the value pairs in the table:

For the first pair (b=24, h=2), we have xy = 24 x 2 = 48, which is the constant of proportionality.

For the second pair (b=3, h=8), we have xy = 3 x 8 = 24, which is the area.

For the third pair (b=8, h=3), we have xy = 8 x 3 = 24, which is the area.

For the fourth pair (b=4, h=6), we have xy = 4 x 6 = 24, which is the area.

To know more about proportionality visit:-

https://brainly.com/question/29126727

#SPJ1

Question:

The following table shows some values ​​for the base and height of a rectangle whose area is constant. Write down the missing data.

Base (b)

Height (h)

24

2

3

8

4

4

What is the area of ​​the rectangle?

What kind of variation do you see in this table?

What is the constant of proportionality?

How did you determine the constant of proportionality?

Need help on number 3

Answers

Answer:

20.25 m²

Step-by-step explanation:

Area of triangle = (1/2) · b · h

b = 9m

h = 4.5m

Let's solve

(1/2) · 9 · 4.5 = 20.25 m²

So, the triangle area is 20.25 m²

sunitha is 24 years older than her daughter kavita. 6 years ago, sunitha was thrice as old as kavitha. find their present ages.

Answers

Let Sunitha age =x
Let Kavita age =y
X=24+y(Sunitha is 24 years older than Kavita.
6 years ago
X-6=3*(y-6)
(24+y)-6=3y-18
18+y=3y-18
36=2y
Y=18
X=24+y
So, X=42
.
Sunitha is 42 years old, and Kavita is 18 years old

Construct an isosceles triangle whose base is 6cm and altitude is 3cm. Then draw another triangle whose sides are 1 1/3times the corresponding sides of the isosceles triangle

Answers

Steps of Construction:

1. Draw a line segment BC = 6 cm.

2. Draw a perpendicular bisector of BC that intersects the line BC at Q.

3. Mark A on the line such that OA = 4 cm.

4. Join A to B and C.

5. Draw a ray BX making an acute angle with BC.

6. Mark four points B1,B2, B3, and B4 on the ray BX. such that BB1 = B1B2 = B2B3 = B3B4.

7. Join B4C. Draw a line parallel to B4C through B3 intersecting line segment AB at A'.

Hence ΔA'BC' is the required triangle.

An isosceles triangle is a type of triangle that has two equal sides and two equal angles. The third angle is called the base angle and is typically different from the other two angles. The equal sides are called legs, and the third side is called the base.

Isosceles triangles have some interesting properties. One of them is that the base angles are always equal. This means that if you know the measure of one of the base angles, you can find the measure of the other one by subtracting it from 180 degrees and dividing by 2. Another property is that the altitude from the apex (the point opposite the base) always bisects the base, meaning that it cuts the base into two equal parts.

To learn more about Isosceles triangle visit here:

brainly.com/question/19987277

#SPJ4

Complete Question:

Construct an isosceles triangle whose base is 6 cm and altitude 4 cm. Then construct another triangle with sides are 3/4 the corresponding sides  of the isosceles triangle.

A gym knows that each member, on average, spends 70 minutes at the gym per week, with a standard deviation of 20 minutes. Assume the amount of time each customer spends at the gym is normally distributed.
a. What is the probability that a randomly selected customer spends less than 65 minutes at the gym?
b. Suppose the gym surveys a random sample of 49 members about the amount of time they spend at the gym each week. What are the expected value and standard deviation of the sample mean of the time spent at the gym?
c. If 49 members are randomly selected, what is the probability that the average time spent at the gym exceeds 75 minutes?

Answers

a. The expected value of the sample mean is 70 and the standard deviation of the sample mean is 2.857.

b. The probability that a randomly selected customer spends less than 65 minutes at the gym is approximately 0.4013.

c. The probability that the average time spent at the gym exceeds 75 minutes is approximately 0.0070.

How do we solve?

a. To answer this question, we need to standardize the value of 65 using the formula:

z = (x - μ) / σ

where x is the value we want to standardize, μ is the mean, and σ is the standard deviation.

z = (65 - 70) / 20

z = -0.25

Using a standard normal distribution table, we find that the probability of a z-score less than -0.25 is approximately 0.4013.

b. The expected value of the sample mean can be calculated using the formula:

E(x) = μ

where μ is the population mean.

E(x) = 70

The standard deviation of the sample mean can be calculated using the formula:

σ(x) = σ / √(n)

where σ is the population standard deviation and n is the sample size.

σ(x) = 20 / √(49)

σ(x) = 2.857

c. To answer this question, we need to standardize the value of 75 using the formula:

z = (x - μ) / (σ / √(n))

where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

z = (75 - 70) / (20 / √(49))

z = 2.45

Using a standard normal distribution table, we find that the probability of a z-score greater than 2.45 is approximately 0.0070.

Learn more about normal distribution at: https://brainly.com/question/4079902

#SPJ1

if the radius of a circle is increasing and the magnitude of a central angle is held constant, how is the length of the intercepted arc changing? explain your reasoning.

Answers

Answer:

When the radius of a circle is increasing while the magnitude of a central angle is held constant, the length of the intercepted arc is also increasing.

To see why this is the case, let's consider the formula for the length of an arc, which is given by:

s = rθ

where s is the length of the intercepted arc, r is the radius of the circle, and θ is the central angle in radians.

If the radius is increasing but the magnitude of θ is held constant, then the length of the intercepted arc will increase as well. This is because s is directly proportional to r; as r increases, s will also increase.

To see this more concretely, imagine drawing a circle on a piece of paper with a certain radius and then drawing a central angle that intercepts a certain arc length. If we then increase the radius of the circle while keeping the central angle the same, the arc length will increase proportionally to the increase in radius. This is because the same central angle will now subtend a larger arc on the circle, since the circle is larger.

Therefore, when the radius of a circle is increasing while the magnitude of a central angle is held constant, the length of the intercepted arc is increasing as well.

Step-by-step explanation:

can anyone help me please???
thank you xxxx

Answers

Using the property of a kite: the angles formed by two unequal sides of a kite are equal. The value of ∠BCD∠BCD is

∠BCD = ∠BAD ⇒ ∠BCD = 106°  

Classify the following linear differential equations according to whether they are time- variable or time-invariant. Indicate any time-variable terms. a. + 2y = 0 dtz d b. (t²y) = 0 dt C. (+)²+(+) y = - t+1 d²y d. + (cost)y = 0 dt² y = 0 ECO

Answers

a. Time-invariant (no time-variable terms)

b. Time-variable (t² is time-variable)

c. Time-invariant (no time-variable terms)

d. Time-invariant (no time-variable terms)

e. Time-invariant (no time-variable terms)

A linear differential equation is one that involves only linear combinations of the dependent variable and its derivatives, as well as any coefficients that are functions of the independent variable (time in this case).

In the first equation, +2y=0, there are no terms that involve the independent variable, so this is a time-invariant equation.

In the second equation, (t²y)'=0, there is a term involving the independent variable t, specifically t². Therefore, this equation is time-variable.

In the third equation, y''+y'=-t+1, there are two terms involving the independent variable, namely -t and 1. Therefore, this equation is time-variable.

In the fourth equation, (cos(t)y)'=0, there is a term involving the independent variable t, specifically cos(t). Therefore, this equation is time-variable.

To practice more questions about 'linear differential equation':

https://brainly.com/question/31044247

#SPJ11

Roll a fair die three times. What is the probability that it is 1 or 2 on the first roll, 3 or 4 on the second roll, or 5 or 6 on the third roll?

Answers

The probability that it is 1 or 2 on the first roll, 3 or 4 on the second roll, or 5 or 6 on the third roll when a fair die is rolled three times is 1/4.

Probability is the study of random events. It is a measure of the likelihood of an event occurring. Probability can be expressed as a decimal, a fraction, or a percentage. There are two types of probability - empirical probability and theoretical probability.

Empirical probability is calculated by conducting experiments or collecting data. It is calculated using the following formula:

Empirical probability = Number of favourable outcomes/Total number of outcomes

Theoretical probability is calculated using probability formulas. It is calculated using the following formula:

Theoretical probability = Number of favourable outcomes/Total number of possible outcomes

In the given problem, a fair die is rolled three times. We need to find the probability that it is 1 or 2 on the first roll, 3 or 4 on the second roll, or 5 or 6 on the third roll. There are 2 favourable outcomes for the first roll, 2 favourable outcomes for the second roll, and 2 favourable outcomes for the third roll.

Total number of outcomes = 6×6×6 = 216

Number of favourable outcomes = 2×2×2 = 8

Probability = Number of favourable outcomes/Total number of outcomes

Probability = 8/216

Probability = 1/27

Therefore, the probability that it is 1 or 2 on the first roll, 3 or 4 on the second roll, or 5 or 6 on the third roll when a fair die is rolled three times is 1/4.

You can learn more about probability at: brainly.com/question/11234923

#SPJ11

I need help with these

Answers

By answering the presented question, we may conclude that Therefore, equation the cost per pound of turkey is $1.99 and the cost per pound of ham is [tex]$2.39[/tex]  .

What is equation?

In mathematics, an equation is an assertion that affirms the equivalence of two factors. An algebraic equation (=) separates two sides of an equation. For instance, the assertion [tex]"2x + 3 = 9"[/tex] states that the word "2x + 3" corresponds to the number "9".

The goal of solution solving is to figure out which variable(s) must still be adjusted for the equations to be true. It is possible to have simple or intricate equations, recurring or complex equations, and equations with one or more components.

For example, in the equations  [tex]"x2 + 2x - 3 = 0,"[/tex] the variable x is lifted to the powercell. Lines are utilised in many areas of mathematics, include algebra, arithmetic, and geometry.

Therefore,Let's denote the cost per pound of turkey as $t, and the cost per pound of ham as $h. Then we can write the following system of linear equations.

Learn more about equation here:

https://brainly.com/question/29657992

#SPJ1

In 2010, the population of Belvedere was estimated to be 39,366 people with an annual rate of increase of approximately 2.8%.
Select the explicit expression that represents the population in the next 6 years.
OA. 39,366(1.0028)5
OB. 39,366(1.28)5
OC. 39,366(0.028)
OD. 39,366(1.028)

Answers

Based on exponential growth function, the explicit expression that represents the population of Belvedere, which was estimated to be 39,366 in 2020 with an annual increase of 2.8%, in the next 6 years is D. 39,366(1.028)^6.

What is an exponential growth function?

An exponential growth function is one of the two exponential function, including exponential decay function.

The exponential growth function is given as y = a(1 + r)^t, where:

y is the new valuea is the current valuer is the constant ratioand t is the time in years.

Population of Belvedere in 2010 = 39,366

Annual rate of increase = 2.8%

The time, t = 6 years

Exponential function expression: 39,366(1.028)^6

Thus, the population of the city in the next 6 years can be represented by  the expression in Option D.

Learn more about exponential functions at brainly.com/question/30127596

#SPJ1

It is estimated that 20 patrons will attend an event for every $100 spent in advertising. If tickets cost $40, how much cana
promoter expect to increase sales if he spends $10,000 in advertising?
ОООО
a) $70,000
b) $80,000
c) $90.000
d) $100,000

Answers

The number of sales a promoter can expect if he spends $10,000 in advertising is $80,000 that is option B.

While going through a word problem like this, read it a few times to comprehend the context without focusing too much on the numbers..... Something along the lines of....

"If a promoter spends money on advertising, he will get more customers."

Short sentences should be used to summarise the content.

$10,000 is spent by the promoter.

"For every $100 spent, 20 new customers are drawn."

"Tickets are $40."

In one calculation this would be:

Using ratio of,

income/expenditure = 800/100 = income/10,000

= 10000 x 20 x 40 / 100

= 80,000

Therefore, the value of sale increase should be $80,000.

Learn more about Advertising:

https://brainly.com/question/25856186

#SPJ4

Solve for x. Round to the nearest tenth, if possible.

Answers

cos=adjacent/hypotenuse
cos(67)=x/85
cos(67)(85)=x
33.2=x

Coffee pods are sold in three different sizes of box. A small box has 12 coffee pods and costs £4.08. A medium box has 20 coffee pods and costs £7.80. A large box has 35 coffee pods and costs £12.95. Work out which size of box gives the best value for money. O small box O medium box O large box.

Answers

we can see that the small box offers the best value for money with a cost of £0.34 per coffee pod. Therefore, the answer isThe small box gives the best value for money.

How to find the cost of pods?

To determine the best value for money among the three sizes of coffee pod boxes, we need to calculate the cost per coffee pod for each size of the box.

For a small box with 12 coffee pods costing £4.08, the cost per coffee pod can be calculated as:

Cost per coffee pod = £4.08 ÷ 12 = £0.34

For a medium box with 20 coffee pods costing £7.80, the cost per coffee pod can be calculated as:

Cost per coffee pod = £7.80 ÷ 20 = £0.39

For a large box with 35 coffee pods costing £12.95, the cost per coffee pod can be calculated as:

Cost per coffee pod = £12.95 ÷ 35 = £0.37

Comparing the cost per coffee pod for each box size, we can see that the small box offers the best value for money with a cost of £0.34 per coffee pod. Therefore, the answer is:

The small box gives the best value for money.

To know more about Cost visit:

brainly.com/question/19075809

#SPJ1

In a class of students, the following data table summarizes how many students play an instrument or a sport. What is the probability that a student chosen randomly from the class does not play an instrument?

Answers

This probability that a randomly selected student from the classroom doesn't really play an item is , which equals  or .

What are the basics of probability?

Probability is the possibility of something occurring to occur, to clarify. We may talk about the possibility with one result, or the likelihood of several outcomes, when we don't understand how an occurrence will turn out. Biostatistics seems to be the study of things with a probability distribution.

Is the ace a playing card?

The number one is known as the ace and is denoted by the letter A in the majority of Western card games. The ace scores highest, surpassing even the king, in games predicated on the supremacy of one level over the other, such as the majority of trick-taking games.

The total of a number of masculine and female pupils involved in sports [tex]$\mathrm{20}+10=30$[/tex] represents the total amount of pupils that don't play an instrument.

The sum of the four numbers in the table, [tex]$12+20+18+10$[/tex] , corresponds to the total amount of pupils in the class, or 60 .

So, [tex]$30/60=1/2\ \mathrm{Or}\ 0.5$[/tex] or  is the likelihood that a randomly selected student from of the class doesn't really play an instrument.

To know more about probability visit:

brainly.com/question/16652613

#SPJ1

Complete question:

use a random sampling distribution of means to determine the probability for different ranges of values of a mean (x-bar). please use the following information to answer questions 1-5. imagine that after graduation, you need to find an apartment to rent. the city in which you intend to live reports that the average rental payment (house or apartment) is $1225.15, with a standard deviation of $777.50. it also reported that the average cost of an apartment rental, rather than a house rental, was $1068.86. for the following questions, treat the average rental payment and standard deviation (house or apartment) as parameters (the population), and treat the average apartment rental cost as a statistic (the sample mean or x-bar) based on a sample of 100. use this information for questions 1-5. 1. what is the mean of the random sampling distribution of means? 2) What is the standard error of the random sampling distribution of means? 3) What is the z statistic for the average cost of an apartment rental? 4) What is the probability of finding an apartment rental with a average cost of $1068.86 or less?

Answers


1) The mean of the random sampling distribution of means is the same as the sample mean ($1068.86).

2) The standard error of the random sampling distribution of means is calculated by taking the population standard deviation ($777.50) divided by the square root of the sample size (100), which yields $7.78.

3) The z statistic for the average cost of an apartment rental is calculated by subtracting the population mean ($1225.15) from the sample mean ($1068.86) and dividing the difference by the standard error ($7.78), yielding -37.37.

4) The probability of finding an apartment rental with an average cost of $1068.86 or less is determined by looking up the z statistic in a z table and finding the corresponding probability, which is 0.000.

To learn more about “random sampling distribution” refer to the https://brainly.com/question/15713806

#SPJ11

Eva is packing for a camping trip. There are 3 sleeping bags and 2 pillows to choose from. For the tent, Eva has 6 options. In how many different ways can Eva pick a set of camping gear that includes one of each item?

Answers

Eva has 36 different combinations of camping gear to choose from.

What are combinations?

Combinations are arrangements of a given set of objects, without regard to their order. Combinations are used in mathematics to describe the possible arrangements of a given set of objects.

In this case, there are 3 sleeping bags, 2 pillows, and 6 tents. In order to determine the total number of combinations, Eva would need to multiply 3x2x6 which equals 36.

If she decides to pick a sleeping bag first, then she can pick any of the 3 available sleeping bags. She would then need to pick one of the 2 pillows and one of the 6 tents. If the order in which she selects her gear does not matter, then she can use the same method to determine the number of combinations available.

For more questions related to number

https://brainly.com/question/26856218

#SPJ1

The number of ways in which Eva can pick a set of camping gear that includes one of each item is 55.

What is combination?

Combination involves selecting items from a set of items without regard to the order in which they are selected. It is typically expressed using the notation C(n,r) which stands for the number of combinations of n items taken r at a time, where n is the total number of items and r is the number of items taken at a time.

This is an example of a combination problem, as Eva is looking to select a set of items from multiple categories, rather than a permutation problem, which would be selecting a set of items where the order matters.

In this case,

n= 6 (the number of tents)+ 3 (the number of sleeping bags)+ 2 (the number of pillows)= 11.

We want to choose 1 of each item, so r is 3.

Plugging 11 and 3 into the formula, we get

11C3 = 11! / (3! * 8!)

= 11 * 10 * 9 / (3 * 2 * 1)

= 11 * 5

= 55

For more questions related to permutation

https://brainly.com/question/1216161

#SPJ1

2.3. Ntando can either walk to school at 5 km/h or ride his bicycle at 15 km/h. If he rides his bicycle, it takes him 10 minutes to get to school. 2.3.1. How long will it take him if he walks to school?​

Answers

Answer:

30 minutes

Step-by-step explanation:

Use ratios. This is an inverse function, as speeding up makes the time traveling go down. So, when dividing the speed by 3 (done so 15 can get to 5), we multiply the time traveled by 3.

10 minutes * 3 = 30 minutes

without calculation, find one eigenvalue and two linearly independent eigenvectors of a d 2 4 5 5 5 5 5 5 5 5 5 3 5 . justify your answer.

Answers

The eigenvalues of A are λ = 0 (with multiplicity 1) and λ = 5 (with multiplicity 2), and the corresponding eigenvectors are [1, 0, -1], [0, 1, -1], and [1, -1, 1].

The matrix A = [5 5 5; 5 5 5; 5 5 5] is a 3x3 matrix with all entries equal to 5.

First, we can calculate the determinant of A - λI, where I is the identity matrix and λ is an unknown eigenvalue:

A - λI = [5-λ 5 5; 5 5-λ 5; 5 5 5-λ]

det(A - λI) = (5-λ)[(5-λ)(5-λ)-25] - 5[5(5-λ)-25] + 5[5-25]

= (5-λ)(λ^2 - 15λ) = -λ(λ-5)^2

From this equation, we can see that the eigenvalues are λ = 0 and λ = 5 (with multiplicity 2).

To find the eigenvectors, we can substitute each eigenvalue into the equation (A - λI)x = 0 and solve for x.

For λ = 0, we have:

A - 0I = A = [5 5 5; 5 5 5; 5 5 5]

(A - 0I)x = 0x = [0 0 0]

This implies that any vector of the form [a, b, -a-b] is an eigenvector for λ = 0. For example, we can choose [1, 0, -1] and [0, 1, -1] as linearly independent eigenvectors corresponding to λ = 0.

For λ = 5, we have:

A - 5I = [0 5 5; 5 0 5; 5 5 0]

(A - 5I)x = 0

⇒ 5x2 + 5x3 = 0

⇒ 5x1 + 5x3 = 0

⇒ 5x1 + 5x2 = 0

This implies that any vector of the form [1, -1, 1] is an eigenvector for λ = 5. Therefore, we can choose [1, -1, 1] as another linearly independent eigenvector corresponding to λ = 5.

Eigenvectors are a fundamental concept in linear algebra. They are essentially special vectors that remain in the same direction when a linear transformation is applied to them, only changing in magnitude. In other words, an eigenvector of a linear transformation is a vector that when multiplied by the transformation matrix, results in a scalar multiple of itself.

Eigenvectors play a crucial role in diagonalizing matrices, which can simplify calculations involving matrix operations. They are also useful for solving differential equations and understanding the behavior of dynamic systems. In addition, eigenvectors are often used for data analysis, such as in principal component analysis (PCA), which is a technique for reducing the dimensionality of data.

To learn more about Eigenvectors visit here:

brainly.com/question/30968941

#SPJ4

Write the linear equation of a line going through (-2,7) with a y-intercept of -3.

Answers

Answer:

y = -5x - 3

Step-by-step explanation:

A linear equation is y = mx + b

m = the slope

b = y-intercept

We know

Points (-2,7) (0,-3)

Slope = rise/run or (y2 - y1) / (x2 - x1)

We see the y decrease by 10 and the x increase by 2, so the slope is

m = -10/2 = -5

Y-intercept is located at (0, -3)

So, the equation is y = -5x - 3

Answer:

y = -5x - 3.

Step by step explanation:

We can use the point-slope form of a linear equation to find the equation of the line passing through the point (-2,7) with a y-intercept of -3.

Point-slope form of a linear equation: y - y1 = m(x - x1)

where m is the slope of the line, and (x1, y1) is the given point on the line.

Since the y-intercept is -3, we know that the point (0,-3) is also on the line. Using the two points (-2,7) and (0,-3), we can find the slope of the line:

slope = (y2 - y1) / (x2 - x1)
slope = (-3 - 7) / (0 - (-2))
slope = -10 / 2
slope = -5

Now we can plug in the values for the slope and the point (-2,7) into the point-slope form:

y - 7 = -5(x - (-2))

Simplifying and solving for y, we get:

y - 7 = -5x - 10
y = -5x - 3

Therefore, the equation of the line passing through the point (-2,7) with a y-intercept of -3 is y = -5x - 3.

(8,-4) and (-1-2) to the nearest tenth

Answers

To find the distance between two points (x1, y1) and (x2, y2) in a coordinate plane, we can use the distance formula:

Distance = √((x2 - x1)² + (y2 - y1)²)

Using the given points, we have:

Distance = √((-1 - 8)² + (-2 - (-4))²)

Simplifying inside the square root, we get:

Distance = √((-9)² + 2²)

Distance = √(81 + 4)

Distance = √85

Using a calculator or rounding, we can approximate the distance to the nearest tenth:

Distance ≈ 9.2 (to the nearest tenth)

Faith is a 95% free throw shooter. At practice, each player shoots 20 free throws. Let x= the number of free throws faith makes out of 20 shots. Calculate and interpret the standard deviation of x

Answers

If at practice, each player shoots 20 free throws, the standard deviation of x is 0.975.

To calculate the standard deviation of x, we need to first determine the variance. The variance is the average of the squared differences of each observation from the mean.

In this case, Faith is a 95% free throw shooter, so she is expected to make 19 out of 20 shots on average. The probability of making a free throw is 0.95, and the probability of missing a free throw is 0.05. Therefore, the mean of x is:

mean(x) = 20 * 0.95 = 19

To calculate the variance, we need to find the expected value of (x - mean(x))^2. Since Faith's free throw shooting is independent, we can use the binomial distribution to find the probability of making x shots out of 20.

The formula for the variance of a binomial distribution is np(1-p), where n is the number of trials and p is the probability of success. Therefore, the variance of x is:

var(x) = 20 * 0.95 * 0.05 = 0.95

Finally, the standard deviation is the square root of the variance:

sd(x) = √(var(x)) = √(0.95) = 0.975

This means that on average, Faith is expected to make 19 out of 20 free throws, but there is a standard deviation of 0.975, which indicates the degree of variability or spread around the mean. In other words, we can expect Faith to make between 18 and 20 free throws in most cases, but there is a small chance that she may make fewer or more than that.

To learn more about standard deviation click on,

https://brainly.com/question/16489982

#SPJ4

plss help meeeeeeeeeeeeeeeeee

Answers

Answer: X = 1/4

Working solution below

6 : water pours into a fish tank at a rate of 0.3 cubic meters per minute. how fast is the water level rising if the base of the fish tank is a 2 meter by 3 meter rectangle?

Answers

Water pours into a fish tank at a rate of 0.3 cubic meters per minute, the water level is rising at a rate of 1/60 m/min

How to calculate the water level?

Given

The base of the fish tank is a 2-meter by 3-meter rectangle.The area of the base of the fish tank = length x breadth= 2 m x 3 m = 6 m².

Let, h is the height of the water level in the fish tank after t minutes. Then, the volume of the water in the fish tank after t minutes is given by [tex]V = Area of the base * height V = 6 * h m^3[/tex]The rate at which water pours into the fish tank is 0.3 cubic meters per minute.

Therefore, the rate of change of volume of the water in the fish tank after t minutes is [tex]dV/dt = 0.3 m^3/min[/tex]. As per the chain rule of differentiation,[tex]dV/dt = dV/dh *dh/dt[/tex] We have[tex]V = 6h^3m^3 \Rightarrow  dV/dh = 18h^2\Rightarrow  dV/dt = 18h^2 * dh/dt[/tex] Given that,[tex]dV/dt = 0.3 m^3/min[/tex]. Therefore,[tex]0.3 = 18h^2 * dh/dt \Rightarrow  dh/dt = 0.3/18= 1/60 m/min[/tex] Hence, the water level is rising at a rate of 1/60 m/min.

See more about volume at: https://brainly.com/question/463363

#SPJ11

Other Questions
Part y Wa g on, Inc., provides musical entertainment at weddings, dances, and various other functions. The company performs adjusting entries monthly but prepares closing entries annually on December 31. The company recently hired Jack Armstrong as its new accountant. Jacks first assignment was to p re p are an income statement, a statement of retained earnings, and a balance sheet usin g an adjusted trial balance given to him by his predecessor, dated December 31, the current year.From the ad j usted trial balance, Jack p re p ared the followin g set of financial statements. The neurotransmitter released into the synapse between neurons and muscle cells that stimulate skeletal muscle cell isGABAepinerphrinenorepinephrineacetylcholine my favorite radio station is npr, which transmits a signal that is has a wavelength of 3.38 m. what is the frequency of this signal? remember, light speed is 3.0 x108 m/s. President Theodore Roosevelt defined "civilized" and "uncivilized" nations on the basis of. A. race. B. naval power. C. economic development what is the relationship between the laser wavelength , the angle of the mth bright fringe, and the diffraction grating spacing d? eage An error in the ending inventory balance in Year 1 will also affect: (You may select more than one answer. Single click the box with the question mark to produce a check mark for a correct answer and double click the box with the question mark to empty the box for a wrong answer. Any boxes left with a question mark will be automatically graded as incorrect.) Year 1 cost of goods sold Year 2 cost of goods sold Year 2 ending inventory Year 2 beginning inventory Find a vector x orthogonal to the row space of A, and a vector y orthogonal to column space, and a vector z orthogonal to the nullspace: A = [1 2 1 2 4 3 3 6 4]. What could a foreign visitor to ancient Rome expect to see in the Forum?A. a track for chariot racesB. a central gathering placeC. a wealthy country houseD. a site of fights with lions Create a number line that represents the solution set of the inequality w 7 > 38. Show all your work. Select the correct answer from the list. (2 points) Vegetation management and beach nourishment are both Select Answers Select Answers to the shore. Beach nourishment helps by bringing more alternative strategies for managing beach erosion. Vegetation management helps by bringing more Select Answers to the beach. 1/sinx+cosx + 1/sinx-cosx = 2sinx/sin^4x-cos^4x What position does Barack Obama take on compromise?Unless a compromise fixes everything, it is not a good compromise. If the compromise makes things better, it is a good compromise. It is often too difficult for government officials to compromise.It is rarely appropriate to compromise. 3.27 Underage drinking, Part 2: we learned in Exercise 3.25 that about 69.7% of 18-20 year olds consumed alcoholic beverages in 2008. We now consider a random sample of fifty 18-20 years old. What is the probability that 45 or more people in this sample have consumed alcoholic beverages? Answer is 0.0006 Suppose a tank of water is a cylinder. The tank has a diameter of 14 inches and is filledto a height of 9 inches. A fish tank decoration is placed in the tank and the water risesby 2 inches with the decoration being completely covered by water. Find the volume ofthe decoration to the nearest tenth of a cubic inch. Write a complete paragraph that makes a case for keeping music electives in the curriculum. In advertising, the type of cost used to compare media vehicles is called cost, and it refers to the connection between the price paid for an ad and the size of the audience delivered.relative Which of these ions has the smallest number of unpaired electrons? o Ni2+ oV2+ oCr2+ oFe3+ oCo2+. 1. An entomologist doing consultant work for soybean farmers reported that this year's aphid population has a daily exponential growth rate of18.5%.The entomologist estimates that a certain crop of soybeans currently has about 20,000 aphids.How many aphids will there be after one week if left untreated? Your express package courier company is drawing up new zones for the location of drop boxes for customers. The city has been divided into the seven zones shown below. You have targeted six possible locations for drop boxes. The list of which drop boxes could be reached easily from each zone is listed below.Zone Can be served byDowntown Financial 2,3,4,6Downtown Legal 2,4,5Retail South 2, 3, 5, 6Retail East 1, 4, 5Manufacturing North 2,3,4Manufacturing East 1,5Corporate West 2,3,6Let xi = 1 if drop box location i is used, 0 otherwise. Develop a model to provide the smallest number of locations yet make sure that each zone is covered by at least two boxes. What are functions of circulating blood? Check all that apply. movement of O2 movement of CO2 movement of NO movement of nutrients movement of waste creation of new blood cells