Answers
Answer:
684π
Step-by-step explanation:
It is two parts: half of a sphere and one cylinder.
Sphere volume formula: V=4/3πR³, r=12/2=6, r³=216
v=4/3π216
v=288π
Half of sphere: 288π/2=144π
Cylinder volume: V=πr²h, r=12/2=6, r²=36, h=15,
V=π*36*15=540π
So, total is 144π+540π=684π
Related Questions
6 Assignment
5.6.PS-14
Compare the rates to find which is greater.
56 meters in 32 hours or 40 meters in 25 hou
The unit rate for 56 meters in 32 hours is? The unit rates for 40 meters in 25 hours is? The unit rate for 56 meters in 32 hours is greater than, less than, or equal to the unit rate for 40. Meters in 25 hours?
Answers
The unit rate for 56 meters in 32 hours (1.75 m/h) is greater than the unit rate for 40 meters in 25 hours (1.6 m/h).
What do you mean by rate?In mathematics, rate is a concept used to describe the change in one quantity with respect to another. It is usually represented as a fraction or a ratio and can be thought of as a measure of how fast one quantity is changing with respect to another.
For example, the rate of change of position with respect to time is called velocity. The rate of change of velocity with respect to time is called acceleration. Similarly, the rate of change of any function with respect to its independent variable is called the derivative of the function, and it represents the instantaneous rate of change at a given point.
Rate can also be used to describe the relationship between two quantities that are changing at the same time. For example, in economics, the interest rate is the ratio of the amount of interest earned or paid to the amount of money invested or borrowed. In science, the rate of a chemical reaction is the change in the concentration of a reactant or a product over time.
Overall, the concept of rate is a useful and important idea in mathematics and has many applications in science, engineering, economics, and other fields. It provides a means for analyzing and comparing changes in quantities and for understanding the relationships between different quantities.
The unit rate for 56 meters in 32 hours is [tex]\frac{56}{32}[/tex] = 1.75 meters per hour. The unit rate for 40 meters in 25 hours is [tex]\frac{40}{25}[/tex] = 1.6 meters per hour.
So, the unit rate for 56 meters in 32 hours (1.75 m/h) is greater than the unit rate for 40 meters in 25 hours (1.6 m/h).
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Mrs.Marin is sewing costumes for the play. Each costume requires 38 centimeters of blue ribbon. If she makes 50 costumes, how
many meters of ribbon dose she need
Answers
Answer: To find out how many meters of ribbon Mrs. Marin needs, we first need to convert the required length of 38 centimeters per costume to meters.
1 meter = 100 centimeters, so we divide 38 by 100:
38 cm / 100 cm/m = 0.38 m
So each costume requires 0.38 meters of ribbon.
To find the total amount of ribbon needed for 50 costumes, we multiply the amount of ribbon per costume by the number of costumes:
0.38 m/costume * 50 costumes = 19 meters
So Mrs. Marin needs 19 meters of blue ribbon for the 50 costumes.
Step-by-step explanation:
PLEASE HELP ASAP........................................
Answers
The correct options are A and B. This indicates that the two sides of the triangle are equal and one angle is also equal.
What is congruency?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.
For the triangle ABC to be congruent to A'B'C' the best condition would be that the two sides of the triangle must be congruent and one angle should be congruent.
The correct options are A and B in which the two sides AB≅A'B', BC≅B'C' and the angle ∠A ≅ ∠A'. The second statement is also true that two sides AB≅A'B', BC≅B'C' and the angle ∠B ≅ ∠B' by side angle side property.
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ank
across from
near
between
next to
1. Where's the nearest bank?
There's one next to the grocery store
on 1st Avenue.
2. Is there a post office near here?
Yes. There
3. I'm looking for a drugstore.
ap and the prepositions in the box.
in
on the corner of
4. Is there a laundromat in this neighborhood?
6. Are there any ATMs around here?
5. Is there a department store on River Street?
1ST AVENUE
grocery
store
bank movie
theater
KING STREET
library
drugstore
laundromat
gym
hotel
PALM STREET
2ND AVENUE
ATM
gas station
post office
LINCOLN STREET
department
store
gym
RIVER STREET
3RD AVENUE
hotel
51
Answers
Answer:
Step-by-step explanation:
1ST AVENUE
grocery
store
bank movie
theater
KING STREET
library
drugstore
laundromat
gym
hotel
PALM STREET
2ND AVENUE
ATM
Select the correct answer. What is the coefficient of x2 in the expansion of (x + 2)3?
Answers
The coefficient of x^2 in the expansion of (x + 2)^3 is 6
How to determine the coefficient of x2From the question, we have the following parameters that can be used in our computation:
(x + 2)^3
Next, we expand the expression
So, we have the following representation
(x + 2)^3 = x^3 + 3x^2 * 2 + 3x * 2^2 + 2^3
Evaluate the expression
(x + 2)^3 = x^3 + 6x^2 + 12x + 8
The coefficient of x^2 in the expression x^3 + 6x^2 + 12x + 8 is 6
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5 kilograms 45 grams help needed
Answers
5 kilograms 45 grams is equal to 5045 grams.
What do you mean by weight units?Weight is a measure of the force of gravity acting on an object, and weight units are units of measurement used to express the weight of an object. There are several different weight units used in different parts of the world, but some of the most common weight units include grams, kilograms, pounds, and ounces.
Grams are a metric unit of weight commonly used in the scientific and medical communities, as well as for small items like jewelry and food ingredients.
Kilograms are also a metric unit of weight, equivalent to 1000 grams. Kilograms are often used to express the weight of larger objects, such as people, animals, and heavy packages.
Pounds and ounces are units of weight used primarily in the United States and the United Kingdom. Pounds are equivalent to 16 ounces, and are used to express the weight of larger objects. Ounces are a smaller unit of weight and are often used for items like food and small packages.
To convert kilograms to grams, we multiply the number of kilograms by 1000. Therefore, 5 kilograms is equal to 5 x 1000 = 5000 grams.
Adding the 45 grams, we get 5000 + 45 = 5045 grams.
So, 5 kilograms 45 grams is equal to 5045 grams.
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The probability that a randomly selected education major received a starting salary offer greater than $52,350 is . The probability that a randomly selected education major received a starting salary offer between $45,000 and $52,350 is . (Hint: The standard normal distribution is perfectly symmetrical about the mean, the area under the curve to the left (and right) of the mean is 0.5. Therefore, the area under the curve between the mean and a z-score is computed by subtracting the area to the left (or right) of the z-score from 0.5.) Twenty percent of education majors were offered a starting salary greater than?
Answers
The area under the curve between the mean and a z-score
P (Z > - 1.80) - P (Z < - 0.3)1 - P (Z < - 1.80) - P (Z < - 0.3)1 - 0.0359 - 0.3821 = 0.582 = 58.2%What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
1. z = (x[tex]- \mu) /\sigma[/tex]
z= (52350 - 46292)/ 4320
z = 1.40
P(X> 52350 )= P( z> 1.40) = P(z< -1.40)
P(Z>1.40) = 0.0808, which is 8.08%
2. Now, z = (x[tex]- \mu) /\sigma[/tex]
z= (45000- 46292)/ 4320
z = -0.30
and, z = (x[tex]- \mu) /\sigma[/tex]
z= (52350 - 46292)/ 4320
z = 1.40
Then, you must find the area between Z = -0.30 and Z = 1.40
So, P(Z<1.40) - P(Z < - 0.30)
= P(Z > - 1.40) - P(Z < - 0.30)
= 1 - P(Z< -1.40) - P( Z < -0.30)
The area under the curve to the left= 1 - 0.0808 - 0.3821 = 0.5371
3. z = (x[tex]- \mu) /\sigma[/tex]
z= (38500- 46292)/ 4320
z = -1.8
Thus, the area under the curve to the right of Z = - 1.80 and to the left of Z = - 0.3
P (Z > - 1.80) - P (Z < - 0.3)1 - P (Z < - 1.80) - P (Z < - 0.3)1 - 0.0359 - 0.3821 = 0.582 = 58.2%Learn more about Probability here:
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Find the diameter of the object. A circular switch with a radius of 3/5 centimeters.
Answers
Answer:
1.2
Step-by-step explanation:
To find the diameter, you must multiply the radius by two
the quotient of a number and -5, decreased by 9, is 2.”
Answers
The quotient of a number and -5, decreased by 9, is 2.”So, the number is -55.
In arithmetic, what exactly is a quotient?The dividend is the quantity being divided (15 in this case), and the divisor is the quantity being divided (3 in this case). Quotient is what remains after division. A quotient is the result of dividing one number by another. It is the number of times one number is contained within the other, or the answer to a division problem.
The name of which quotient?It is known as the quotient to divide two numbers. Six times two is the ratio, which equals three. The Latin word for ratio, "how many times," is quotient. This is very logical: by dividing two numbers, you are calculating "how many times" the second number enters the first.
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classify each angle as acute , right , obtuse , or straight
Answers
Based on the picture above:
numbers 1,5,6 and 8 including the obtuse angle numbers 2,3,9 and 10 include the acute angle number 4 is a straight angle number 7 is the right angle How to determine what type of anglesFrom the answer above, the way to determine the type of angle is to measure the angle.
if the angle is 90° then it is a right angle.
If the angle is 0-90° then it's an acute angle
If the angle is above 90° and below 180° then it is an obtuse angle
If the angle is 180° then it is called a straight angle.
The following is a more complete explanation:
1. Right Angles
Right angles have a measure of 90º and are perpendicular in shape. This angle is usually denoted by ∟. Examples of surrounding objects that have right angles include books, tables, cupboards, clock hands that show 3 o'clock, and so on.
2. Straight Angle
A straight angle has an angle of 180º. As the name implies, this angle is straight and flat. Examples of objects that have straight angles include a ruler and clock hands that show 6 o'clock.
3. Acute Angles
Acute angles have angles greater than 0º and less than 90º. As the name implies, this angle is pointed. Objects that have acute angles such as pencil tips, pizza slices, iron tips, and clock hands that show 1 and 2 o'clock.
4. Obtuse Angle
Contrary to an acute angle, an obtuse angle has an angle greater than 90º but less than 180º. As the name suggests, objects that have this angle are obtuse, such as laptops wide open, beach chairs, camping tents, and clock hands that show 4 and 5 o'clock.
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Convert the angle 3 radians to degrees, rounding to the nearest 10th.
Answers
Answer: 172.0 degrees
Step-by-step explanation:
In 180 degrees, there are [tex]\pi[/tex] radians. That means each radian is equal to:
[tex]\frac{180}{\pi }[/tex]
= 57.3248408
Then we simply multiply that by 3 to get:
3 * 57.3248408
= 171.974522
Rounded to the nearest tenth is 172.0
Answer:
172
Step-by-step explanation
180 degrees is equal to one pi.
That means each radian is equal to:= 57.3248408
Then multiply that number by 3
Written out is: 3 x 57.3248408 = 171.97452
When rounded to the nearest tenth is 172.0
which equation represent g(x)?
Answers
A long distance trucker traveled 144 miles in one direction during a snow storm. The
return trip in rainy weather was accomplished at double the speed and took 4 hours
less time. Find the speed going.
The speed going was
Answers
Let's call the speed going x miles per hour.
The time it took for the return trip was 4 hours less, so the total time for the return trip was 2 * (144/x) - 4 hours.
The total distance for the return trip was 144 miles, so we can write the equation:
144 = 2 * (144/x) - 4 * x
Expanding the equation:
144 = 288/x - 4x
Multiplying both sides by x:
144x = 288 - 4x^2
Moving all the x terms to one side:
4x^2 + 4x - 144 = 0
Solving for x using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a
where a = 4, b = 4, and c = -144
x = (-4 ± √(4^2 - 4 * 4 * -144)) / 2 * 4
x = (-4 ± √(16 + 1152)) / 8
x = (-4 ± 48) / 8
x = (44 ± 48) / 8
x = 92/8 or x = -4/8
Since speed must be positive, the speed going was x = 92/8 = 11.5 mph.
Please mark brainliest
A candy bar box is in the shape of a triangular prism. The volume of the box is 1,200 cubic centimeters.
See picture
Part A: What is the height of the base? Show your work. (5 points)
Part B: What is the approximate amount of cardboard used to make the candy
box? Explain how you got your answer. (5 points)
Answers
Assuming a thickness of 1 millimeter for the cardboard, the amount of cardboard utilized to build the candy box is roughly 240 cubic centimeters.
What is volume?Volume is the quantity of space in a 3D object in arithmetic. A fish tank, for example, is 3 feet long, 1 foot wide, and 2 feet tall. To calculate the volume, multiply the length by the breadth by the height, which is 3x1x2, which is six. As a result, the fish tank has a volume of 6 cubic feet.
Here,
Part A: To find the height of the base, we need to use the formula for the volume of a triangular prism:
V = Bh/2,
where B is the area of the base and h is the height.
We can assume the base of the triangular prism is an equilateral triangle with side length s. The area of an equilateral triangle can be found using the formula:
B = (s² * √(3))/4
We can use this formula to find the side length of the triangle:
s = √((4B)/(√(3)))
Substituting the known values, we have:
1200 = (s² * √(3))/2 * h
solving for h:
h = 1200 * 2 / (s² * √(3))
Substituting the value for s:
h = 1200 * 2 / ((√((4B)/(√(3)))² * √(3))
h = 1200 * 2 / (((4B)/(√(3))) * √(3))
h = 1200 * 2 / (4B)
h = 300 / B
We can find the value of B using the formula:
B = (s² * √(3))/4
Substituting the value for s:
B = (√((4B)/(√(3)))² * √(3))/4
B = (4B)/(3 * √(3))
B = 4B / (√(9))
B = 4B / 3
Solving for B:
B = 300 / h
So, the height of the base is approximately 30 cm.
Part B: To find the amount of cardboard used to make the candy box, we need to find the surface area of the triangular prism and multiply it by the thickness of the cardboard.
The surface area of a triangular prism can be found using the formula:
A = B + Bs + Bh
Where B is the area of the base, Bs is the area of the side of the triangular prism and Bh is the area of the top and bottom of the triangular prism.
We know that B = (s² * √(3))/4 and Bh = B, so
A = B + Bs + Bh = B + 2Bh = 2B + 2Bs
The surface area of the triangular prism is approximately 240 square centimeters.
Assuming the cardboard has a thickness of 1 millimeter, the amount of cardboard used to make the candy box is approximately 240 cubic centimeters.
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Your starting salary at a company is 70000 dollars, and you get a raise of 6000 dollars each year. Let t represent the number of years since you joined the company.
a) Express the percentage rate of change of your salary as a function of time.
Answers
Answer:
Step-by-step explanation:
70000 + t600
Amber is trying to solve 3x^2 - 4x = 0 using a graphical method. She therefore starts by drawing the graph y = 3x^2 on a grid. She now intends to complete her method by drawing a straight line graph on the same grid. Complete Amber’s method to solve 3x^2 - 4x
Answers
Using Amber's method of plotting, a graph representing the two seperate equations is attached.
3x^2: Is a curve and color green
- 4x : is a straight line graph, with red color
What are graphs?A graph is a pictorial representation of a an expression. It is used in several disciplines to represent and interpret data easily. Since graphs are pictures it show the relationship between functions or data presented with less difficulty.
here, we have,
The first graph is a curve because the expression involved is a polynomial this is to say the variable is raised to a power that is not 1 or zero.
The second graph is not a curve because the variable x has a power of 1
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There is a better look of it! Just answer this one- For each team, find the unit rate games per loss.
Answers
0.156 is the unit rate games per loss.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Plug in the values from the table to the above formula.
Slope is nothing but rate of change.
m=17-12/68-36
m=5/32
m=0.156
Hence, 0.156 is the unit rate games per loss.
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Helppppppppppppppppppppppp
Answers
Answer: 90
Step-by-step explanation: Regular Polygons have all their angles equal. Since there are 4 sides the total sum of the angles are 360. Divide it by four and you get your answer of 90.
Answer:
90 degrees
Step-by-step explanation:
A regular polygon has sides with the same length.
Because this is a 4-sided regular polygon, this shape would be a square.
Since all angles inside of a polygon must equal 360, we can divide this number by the amount of angles in this polygon.
360 degrees/4 angles = 90 degrees/angle
A fully loaded and fueled spacecraft can weigh close to 3.9
million pounds. What is this weight converted to tons?
Answers
Answer:1950 US tons
Step-by-step explanation:
Michael has a granola recipe that requires 1 4 pounds of oats to make one batch of granola. If Michael uses 4 5 pounds of oats while making granola, how many batches has he made?
Answers
Michael has made 3.21 batches of granola.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Michael has a granola recipe that requires 14 pounds of oats to make one batch of granola.
If Michael uses 45 pounds of oats while making granola,
then number of batches he made,
= 45 /14
= 3.21
Hence, he made 3.21 batches.
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Nicole recently switched her primary doctor to one specializing in caring for elderly patients. On her new doctor's website, it says that the mean systolic blood pressure among elderly females is 115 millimeters of mercury (mmHg). Nicole believes the value is actually higher. She bases her belief on a recently reported study of 18 randomly selected, elderly females. The sample mean systolic blood pressure was 124 mmHg, and the sample standard deviation was 22 mmHg.
Assume that the systolic blood pressures of elderly females are approximately normally distributed. Based on the study, at the 0.10 level of significance, can it be concluded that μ, the population mean systolic blood pressure among elderly females, is greater than 115 mmHg?
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)
(a) State the null hypothesis H0 and the alternative hypothesis H1.
H0:
H1:
(b) Determine the type of test statistic to use.
▼(Choose one)
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the p-value. (Round to three or more decimal places.)
(e) Can it be concluded that the mean systolic blood pressure among elderly females is greater than 115 mmHg?
Yes No
Answers
based on the sample data, we have evidence to mean support Nicole's belief that the true mean systolic blood pressure among elderly females is higher than 115 mmHg.
What is mean?The mean of a dataset, sometimes referred to as the arithmetic mean, is the sum of all results multiplied by the number of values . This is the most popular way to measure central tendency and is sometimes refereed to as the "mean."
The sample mean systolic blood pressure of 124 mmHg is higher than the reported mean of 115 mmHg on the doctor's website. Additionally, the sample standard deviation of 22 mmHg indicates that there is some variability in the systolic blood pressure values among the sample of 18 elderly females.
Using a t-distribution table with 17 degrees of freedom (since we have a sample size of 18), we can calculate that the critical value for a one-tailed test at a significance level of 0.05 is 1.740.
t-statistic using the formula:
t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))
t = (124 - 115) / (22 / sqrt(18)) = 2.35
Since the calculated t-value of 2.35 is greater than the critical value of 1.740, we can reject the null hypothesis and conclude that the sample mean systolic blood pressure of 124 mmHg is significantly different from the reported mean of 115 mmHg.
Therefore, based on the sample data, we have evidence to support Nicole's belief that the true mean systolic blood pressure among elderly females is higher than 115 mmHg.
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A $5070 investment earns interest at
compounded quarterly
5% per year
over 15 years.
Use the compound interest formula to
calculate the value of this investment
to the nearest cent.
Answers
Answer:
Step-by-step explanation:
The value of the investment can be calculated using the compound interest formula:
A = P * (1 + (r/n))^(nt)
Where:
A = final amount
P = principal amount (5070)
r = annual interest rate (0.05)
n = number of times the interest is compounded in a year (4)
t = number of years (15)
So,
A = 5070 * (1 + (0.05/4))^(4*15)
A = 5070 * (1.0125)^60
A = 5070 * 2.693260689
A = 13,652.14
The value of the investment after 15 years compounded quarterly at 5% per year is $13,652.14, rounded to the nearest cent.
Kaitlin and her husband are each starting a saving plan. Kaitlin will initially set aside $650 and then add $155 every month to the savings. The amount A (in dollars) saved this way is given by the function =A+155N650, where N is the number of months she has been saving.
Her husband will not set an initial amount aside but will add $585 to the savings every month. The amount B (in dollars) saved using this plan is given by the function =B585N.
Let T be total amount (in dollars) saved using both plans combined. Write an equation relating T to N. Simplify your answer as much as possible.
Answers
The linear function for the total amount added to the account each month is given as follows:
T(n) = 650 + 740n.
How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the amount added each month.The intercept b represent the initial amount.Then the parameters for this problem are given as follows:
m = 155 + 585 = 740.b = 650.Hence the function is given as follows:
T(n) = 650 + 740n.
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Please help :(!!!!!!
Answers
The procedure to determine the function's behavior is explained in this problem.
How to classify the function as increasing, decreasing or constant?The function is increasing when the graph moves right and up.The function is decreasing when the graph moves right and down.The function is constant when the graph of the function is an horizontal line.Missing InformationThe problem is incomplete, hence the general procedure to obtain the function's behavior was presented.
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Triangle LMN with vertices L(6, 6), M(8, 8), and N(8, 3)
a) reflection in the line x = 5
b) 270° counterclockwise
rotation about the origin c
Answers
The 270° counterclockwise rotation about the origin is a transformation that turns each point (x, y) in the original triangle to (-y, x) in the new triangle.
What is the triangle ?A triangle is a three-sided polygon and is one of the basic shapes in geometry. It is a closed figure composed of three straight line segments, connected at their endpoints. The three sides of a triangle are typically referred to as the base, the height, and the hypotenuse. Triangles are classified by their angles and their sides. Triangles can be right, acute, obtuse, isosceles, equilateral, and scalene. Right triangles have one angle that is equal to 90 degrees. Acute triangles have all angles that are less than 90 degrees. Obtuse triangles have one angle that is greater than 90 degrees. Isosceles triangles have two sides that are equal in length.
Triangle LMN' with vertices L'(1, 6), M'(3, 8), and N'(3, 3), Triangle LMN' with vertices L'(6, -6), M'(-8, -8), and N'(-8, -3), Triangle LMN' with vertices L'(-6, 6), M'(-8, 8), and N'(-8, 3)
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Danny Duncan worked 55 hours in one week for a grocery store. Danny earns $15 per hour. What’s Danny’s gross pay, assuming overtime is at time-and-a-half?
Answers
Therefore , the solution of the given problem of unitary method comes out to be Gross pay of Danial Ducan is $1162.5.
A unitary method is precisely what?To finish a work using the unitary strategy, multiply the quantity with two after determining the size of a small slice. The unit variable technique, to put it simply, works to isolate a coded object from a specific group or sets of sets. For instance, 40 pens would cost 400 pounds (expression $1.01) = Rs. There is a chance that one nation will have complete control over the technique used to do this. Almost all living things have a unique trait.
Here,
Given :
Danny Duncan worked 55 hours in 1 week.
earns $15 per hour.
To find the Danny's gross pay:
overtime is at time and half.
So,
=> Gross pay = 55*15 + 55/2 *15
=> Gross pay = 825 + 337.5
=> Gross pay = 1162.5
Therefore , the solution of the given problem of unitary method comes out to be Gross pay of Danial Ducan is $1162.5.
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Evolution and Scientists. A professor claims that more than 77% of all scientists believe in evolution. In a 2014 Pew Research survey of a representative sample of 115 scientists connected to the American Association for the Advancement of Science (AAAS), 104 of these scientists say they believe in evolution. Perform a hypothesis test of the professor's claim using these data.
(b) Find the p-value (round to 4 decimals).
Answers
A professor asserts that more than 77% of all scientists believe in evolution, and the p-value for the two-tailed test is 2 mincdf(x), 1 - cdf(x).
what is null hypothesis ?A type of statistic hypothesis known as a hypothesis claims that a certain group of data has no statistical power. The viability of hypotheses is investigated using sample data. Sometimes refer to as "zero," and represented as H0. The premise that researchers make is that there is a link between the variables. The null hypothesis, on the contrary hand, asserts that such a link does not exist. Despite its inability to seem relevant, the null hypothesis is a critical component of research.
given
You must understand the distribution of your test statistic on the supposition that the null hypothesis is correct in order to calculate the p-value.
Left-tailed test: cdf as the p-value (x).
Test with a right-tail: p-value = 1 - cdf (x).
p-value for the two-tailed test is 2 mincdf(x), 1 - cdf(x).
A professor asserts that more than 77% of all scientists believe in evolution, and the p-value for the two-tailed test is 2 mincdf(x), 1 - cdf(x).
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Find the explicit formula for the geometric sequence tn given below. Note that t1=7.
7,14,28,56,112,…
Answers
The explicit formula for the geometric sequence is,
⇒ tn = 7 (2ⁿ - 1)
What is Geometric sequence?An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
Given that;
The geometric sequence is,
⇒ 7,14,28,56,112,…
Here, First term = 7
And, Common ratio = 14 / 7 = 2
We know that;
The explicit formula for the geometric sequence is,
⇒ tn = t₁ (rⁿ - 1) / (r - 1)
Substitute all the values we get;
The explicit formula for the geometric sequence is,
⇒ tn = 7 (2ⁿ - 1) / (2 - 1)
⇒ tn = 7 (2ⁿ - 1)
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Write an equation that represents the graph
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A city held a bike parade. 10 bikers rode recumbent bicycles, and 82 bikers rode other types of bicycle. What is the probability that a randomly chosen bike in the parade was a recumbent bicycle? Write your answer as a fraction or whole number. P(recumbent bicycle)=
Answers
The probability that a randomly chosen bike in the parade was a recumbent bicycle will be 5/46.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the chance is given as,
P = (Favorable event) / (Total event)
A city held a bike parade. 10 bikers rode recumbent bicycles, and 82 bikers rode other types of bicycles.
The total number of bikers is given as,
Total bikers = 82 + 10
Total bikers = 92
Then the probability is given as,
P = 10 / 92
P = 5 / 46
The probability that a randomly chosen bike in the parade was a recumbent bicycle will be 5/46.
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