Kylar is a lifeguard at a swimming pool, The total number of hours in a single shift done by Kylar is 3 hours.
Let the total number of hours in a single shift be = A
Now , The total length of equal shifts Skylar worked last week = 3 3/4 shifts
The total length of equal shifts Skylar worked last week = 15 / 4 shifts
The total number of hours Skylar worked in the week = 11 1/4 hours
The total number of hours Skylar worked in the week = 45 / 4
Now , the equation will be
Total length of equal shifts Skylar worked last week is equal to total number of hours Skylar worked in the week.
So ,
Total length of one shift of Skylar = total number of hours Skylar worked in the week / Total length of equal shifts Skylar worked last week
On substituting the values in the equation , we get
Total length of one shift of Skylar A = ( 45/4 ) / ( 15/4 )
On simplifying the equation , we get
A = ( 45/4 ) / ( 15/4 )
A = 45 / 15
A = 3 hours
Therefore, The total number of hours in a single shift done by Kylar is 3 hours.
Complete question: Skylar is a lifeguard at a swimming pool. Last week, they worked 3(3)/(4) equal -length shifts, because rain closed the pool early one day. Those shifts totaled 11(1)/(4) hours of work. How long is a single shift?
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 A small square field has an area of 4900 square feet. What is the measure of each side of the field?
Answer:
700
Step-by-step explanation:
A=hxw
A square has all equal sides
700×700=4900
Question 3 of 10
What are the more appropriate measures of center and spread for this data
set?
0 2
4
5 8 10
H
14
24
6 8 10 12 14 16 18 20 22 24 26 28 30
Select two choices: one for the center and one for the spread.
A. Better measure of spread: the standard deviation
B. Better measure of center: the median
C. Better measure of spread: the interquartile range (IQR)
D. Better measure of center: the mean
The two choices that reflect one for the center and one for the spread are:
A. Better measure of spread: the interquartile range (IQR)
B. Better measure of center: the median
Why are they the selected choices?For the first data set, the values appear to be unordered, so it would be difficult to determine the mean. The median is a more appropriate measure of center for this data set, as it would provide a value that separates the data into two halves.
The interquartile range (IQR) is a better measure of spread for this data set, as it provides a robust measure of spread that is less sensitive to outliers. The IQR is the difference between the 75th percentile and the 25th percentile of the data, and it provides a measure of the spread of the middle 50% of the data.
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Is Into the Radius VR worth it?
It's definitely one of the more rewarding survival experiences that has hit the platform.
Is Into the Radius VR worth it?
Now the studio says it's bringing the open world game to Quest 2 starting next month. Update (August 31st, 2022): CM Games has announced that Into the Radius is arriving on Quest 2 on September 8th. You can wishlist it over on the Meta Store here.Now the studio says it's bringing the open world game to Quest 2 starting next month. Update (August 31st, 2022): CM Games has announced that Into the Radius is arriving on Quest 2 on September 8th. You can wishlist it over on the Meta Store here.Just like with any other technology, overexposure to VR can lead to increased alterations in the brain, resulting in headaches and nausea.To learn more about radius refers to:
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A biologist wonders if the life span of bats will be affected by two new food sources from invasive species moving into an area. To conduct the experiment, the biologist needs three treatment groups: a group where the diet will not include invasive species (control), a group where the diet will include one invasive species (treatment group 1), and another group where the diet will include the other invasive species (treatment group 2). The biologist chooses the first cloud-free night and catches the first 18 bats that fly out of a cave. The first six bats will be the control group, the second six will be treatment group 1, and the last six will be treatment group 2.
Which component is missing from the biologist’s process?
A) The biologist should have chosen a random night to catch the bats.
B) The biologist did not randomly assign the bats to the treatment groups.
C) The biologist did not allow each bat the same chance to be in each treatment group.
D) The biologist should have used random sampling when deciding which bats to catch.
The component that is missing from the biologist's process is:
c) The biologist did not randomly assign each of the bats to the treatment groups.
What is the Importance of the Random Assignment of Subjects into Groups?When carrying out a research study where you have groups created that you want to study, differences between and within groups can be satisfactory ensuring that they are not systematic when subjects are randomly assigned to groups.
Given, A biologist wonders if the life span of bats will be affected by two new food sources from invasive species moving into an area.
a group where the diet will not include invasive species (control), a group where the diet will include one invasive species (treatment group 1), and another group where the diet will include the other invasive species (treatment group 2).
Thus, it gives the researcher the confidence that groups are the same in terms of variables, and any differences can be confidently ascribed to experimental treatments.
Therefore, the component that is missing from the biologist's process is: c. The biologist did not randomly assign each of the bats to the treatment groups.
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A rectangular swimming pool has a perimeter of 150 m the length of the pool is twice the width of the pool what is the length of the pool
The length of the rectangular swimming pool is, 50 m.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
We have to given that;
A rectangular swimming pool has a perimeter of 150 m.
And, The length of the pool is twice the width of the pool.
Now, Let the width of the pool = x
Then, The length of the pool = 2x
We know that;
Perimeter of rectangle = 2 (Length + Width)
Substitute all the given values, we get;
⇒ 150 = 2 (2x + x)
⇒ 150 = 2 × 3x
⇒ 150 = 6x
⇒ x = 150 / 6
⇒ x = 25
Thus, The length of the rectangular swimming pool = 2x
= 2 × 25
= 50 m
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The art club is designing a rectangular mural for the school hallway. Three corners are located at (21, 21), (21, 1), and (4, 1) on a coordinate plane. Find the fourth vertex using the coordinate plane below.
ASAP - 20 pts
The fourth vertex of the rectangle using the coordinate plane is; (4, 21)
How to find the coordinate of a rectangle?The three coordinates of the rectangle are expressed as;
(21, 21)
(21, 1)
(4, 1)
Now, when we tal about a rectangle, it is pertinent to note that two points must have the same y coordinates while two points must also have the same x -coordinates because the two parallel sides of a rectangle are equal.
Thus, we already have two sides with 21 as x-coordinate but only one with 4 as x-coordinate and as such the fourth point will have 4 as x-coordinate.
Similarly, only one point has 21 as y-coordinate and as such the fourth point will have its' y-coordinate as 21.
(4, 21)
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a piece of paper is to display 128 128 space, 128, space square inches of text. if there are to be one-inch margins on both sides and two-inch margins at the bottom and top, what are the dimensions of the smallest piece of paper (by area) that can be used?
The dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches.
The area of a square with sides of one inch is equal to one square inch (plural: square inches).
We have that:
Let the dimension of the paper be x and y.
Such that:
Length = [tex]x[/tex]
Width = [tex]y[/tex]
So:
Area = [tex]x*y[/tex]
Substitute 128 for Area
[tex]128=x*y[/tex]
Make x the subject.
[tex]x=\frac{128}{y}[/tex]
When 1 inch margin is at top and bottom
The Length becomes:
[tex]Length =x+1+1[/tex]
[tex]Length = x+2[/tex]
When 2-inch margin is at both sides
The width becomes:
[tex]Width = y+2+2[/tex]
[tex]Width = y+4[/tex]
The New Area (A) is then calculated as:
[tex]A = (x+2)*(y+4)[/tex]
Substitute [tex]\frac{128}{y}[/tex] for x
[tex]A = (\frac{128}{y}+2 )*(y+4)[/tex]
Open Brackets
[tex]A = 128 + \frac{512}{y} + 2y + 8[/tex]
Collect Like Terms
[tex]A = \frac{512}{y} + 2y + 8+128[/tex]
[tex]A = \frac{512}{y} +2y+136[/tex]
[tex]A = 512y^{-1} +2y + 136[/tex]
To calculate the smallest possible value of y, we have to apply calculus.
Differentiate A with respect to y
[tex]A' = -512y^{-2}+2[/tex]
Set
[tex]A' = 0[/tex]
This gives:
[tex]0=-512y^{-2}+2[/tex]
Collect Like Terms
[tex]512y^{-2} = 2[/tex]
Multiply through by [tex]y^{2}[/tex]
[tex]y^{2} *512y^{-2} = 2*y^{2}[/tex]
[tex]512 = 2y^{2}[/tex]
Divide through by 2.
[tex]256 = y^{2}[/tex]
Take square roots of both sides.
[tex]\sqrt{256= y^{2} }[/tex]
[tex]16 =y\\\\y=16[/tex]
Recall that:
[tex]x = \frac{128}{y}[/tex]
[tex]x = \frac{128}{16}[/tex]
[tex]x=8[/tex]
Recall that the new dimensions are:
[tex]Length = x+2[/tex]
[tex]Width = y+4[/tex]
So:
[tex]Length = 8+2[/tex]
[tex]Length = 10[/tex]
To double-check.
Differentiate A'
[tex]A' = -512y^{-2}+2[/tex]
[tex]A'' = -2 * -512y^{-3}[/tex]
[tex]A'' = 1024y^{-3}[/tex]
[tex]A'' = \frac{1024}{y^{3} }[/tex]
The above value is:
[tex]A'' = \frac{1024}{y^{3} } > 0[/tex]
In other words, the estimated numbers are at their lowest.
Hence, the dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches.
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The dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches.
The area of a square with sides of one inch is equal to one square inch (plural: square inches).
We have that:
Let the dimension of the paper be x and y.
Such that:
Length = x
Width = y
So:
Area = xy
Substitute 128 for Area
128 = xy
Make x the subject.
x=128/y
When 1 inch margin is at top and bottom
The Length becomes:
length = x+2
When 2-inch margin is at both sides
The width becomes:
width = y+4
The New Area (A) is then calculated as:
A = (x+2)(y+4)
Substitute for x
A = (128/y +2)(y+4)
Open Brackets
A = 128 +512/y + 2y +8
Collect Like Terms
A = 512/y + 2y +136
To calculate the smallest possible value of y, we have to apply calculus.
Differentiate A with respect to y
A' = -512/y*y +2
Set
A' = 0
This gives:
y = 16
Recall that:
x = 128/y
x = 8
Recall that the new dimensions are:
Length = x +2
Width = y+4
So:
Length = 10
To double-check.
Differentiate A'
A'' = 1024/y*y*y
The above value is greater than 0
In other words, the estimated numbers are at their lowest.
Hence, the dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches.
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find the general solution to enter your answer as . use to denote the arbitrary constant in your answer. tln(t)dr/dt r =5te^4
The general solution to the differential equation d(r)/dt = 5tln(t) is: r = (5/2)t^2ln(t) - 5te^5 + C.
The general solution to the differential equation d(r)/dt = 5tln(t) can be found using the method of integrating factors.
First, we find the integrating factor:
I = e^∫5ln(t)dt = e^(5t - 5)
Next, we multiply both sides of the equation by the integrating factor:
I * d(r)/dt = I * 5tln(t)
Now, we can integrate both sides of the equation:
∫I * d(r)/dt = ∫I * 5tln(t)dt
Using the substitution u = r and du/dt = d(r)/dt, we can simplify the left side of the equation:
du/dt = I * d(r)/dt
And on the right side, we use integration by parts:
∫I * 5tln(t)dt = (5/2)t^2ln(t) - 5te^5 + C
Finally, we can solve for r:
r = (5/2)t^2ln(t) - 5te^5 + C
The general solution to the differential equation d(r)/dt = 5tln(t) is:
r = (5/2)t^2ln(t) - 5te^5 + C.
Note that C is an arbitrary constant and represents the freedom in choosing the initial conditions for the solution.
Therefore, The general solution to the differential equation d(r)/dt = 5tln(t) is: r = (5/2)t^2ln(t) - 5te^5 + C.
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develop the five-number summary for the data. if required, round your answers to two decimals places. if required, enter negative values as negative numbers.
The five-number summary for the given data set is as follows: Minimum: -6.00, Q1: -2.47, Median: 1.00, Q3: 4.30, Maximum: 7.85.
Minimum: -6.00
Q1: -2.47
Median: 1.00
Q3: 4.30
Maximum: 7.85
To construct the five-number summary for the given set of data, we need to calculate the five parameters: minimum, first quartile (Q1), median, third quartile (Q3) and maximum.
Minimum: The minimum value in the set of data is -6.
Q1: The first quartile is calculated by finding the median of the lower half of the data set. In this case, the lower half consists of the values -6, -4, -2, -1 and 0. The median of this set is -2.47.
Median: The median of the set of data is calculated by finding the middle value of the data set. In this case, the middle value is 1.
Q3: The third quartile is calculated by finding the median of the upper half of the data set. In this case, the upper half consists of the values 1, 3, 4, 6, and 7. The median of this set is 4.30.
Maximum: The maximum value in the set of data is 7.85.
The five-number summary for the given data set is as follows: Minimum: -6.00, Q1: -2.47, Median: 1.00, Q3: 4.30, Maximum: 7.85.
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The position of a bug moving along the x axis is given by x(t)=at+b, where a and b are both nonzero. Find the acceleration of the bug at any given time t.
The acceleration of the bug at any given time t is a.
The theory used in this question is the equation of motion.
This equation states that the position of an object is equal to the product of the acceleration and the time plus a constant.
Given:
The equation x(t)=at + b,
where a and b are both nonzero, describes the position of an insect travelling along the x axis.
The equation x(t)=at + b can be rewritten as x(t)=a(t) + b.
This equation states that the position of the bug is equal to the product of the acceleration (a) and the time (t) plus a constant (b).
Therefore, the acceleration of the bug at any given time t is a.
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Exponential Functions
Answer:
Below
Step-by-step explanation:
If you lose 5 %, you basically have 95 % remaining which is .95 in decimal
y = 1000 * (.95)^x where x is the number of months ( x = 9 in this case)
Pls i need answers quickly
Answer:
[tex] \red{ \boxed{\sf{c = 0.81s}}}[/tex]
Step-by-step explanation:
(total cos t) = k (songs)
total cost / songs = k
8.1/10 = k
0.81 = k
now substitute 0.81 in for k in your equation
c = 0.81s
follow..
Each of the following events result in a tax payment. Which is an example of a direct tax?
A. Charles sells a 25-acre lot, which includes a barn.
B. Sammy stops to pump gas on a cross-country road trip.
C. Ingrid's cable bill contains extra fees that weren't listed in the plan.
D. Javier owes money to the federal government based on job earnings.
Each of the following events result in a tax payment, an example of a direct tax is D. Javier owes money to the federal government based on job earnings.
How Do Direct Taxes Work?A direct tax is one that is paid by an individual or group of individuals directly to the body that levied it. Taxes on assets, real estate, personal property, and income are a few examples that are all paid by an individual taxpayer directly to the government.
Direct taxes are those that you pay to the government directly. You have paid a direct tax, for instance, if you pay income tax, property tax, or capital gains tax. On the other side, an indirect tax is when you make a purchase and someone else subsequently pays the tax on your behalf through a sales tax.
Therefore, option D is correct.
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How many M is 5 foot 4 inches?
1.6256 Meters in 5 foot 4 inches
How to convert feet to inches?So, to convert a measurement in feet to inches, all you need to do is multiply the number by 12. This is an exact number, so if you're working with significant figures, it won't limit themConversion of feet into inches where in both are imperial units of measuring length. The standard unit to measure the length in centimeters. One feet is equal to 12 inchesThis is my height also, I am 5'7"tall. The conversion factor I remember is that there are 2.54 centimeters in 1 inch, so first I would change the feet to inches. 5 12 = 60 so 5'7" = 67"To learn more about convert feet to inches refers to:
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There are 1.6256 Meters in 5 foot 4 inches
How do you convert an inch to a foot?As a result, multiplying a measurement by 12 will convert it from feet to inches. Since it is an exact number, there will be no restrictions on utilising significant figures.
Conversion of feet to inches where both length measurement units are in the imperial system. the standard unit for centimetre length measurements. Twelve inches are equivalent to one foot.
This is also how tall I am because I'm 5'7". I would first convert the feet to inches using the closest I can remember conversion factor of 2.54 centimetres to 1 inch.
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What are Sum and Difference Formulas?
When it is simpler to describe an angle as the sum or difference of distinct angles (0°, 30°, 45°, 60°, 90°, and 180°), the sum and difference formulae in trigonometry are used to determine the value of the trigonometric functions at those particular angles.
What is trigonometric function?Angles are the basis of trigonometric functions. They are employed to connect the side lengths of a triangle to its angles. Sine, cosine, and tangent are the three fundamental operations of trigonometry. The remaining three functions, cotangent, secant, and cosecant, are derived from these three basic ones. The trigonometric functions in mathematics are real functions that link the angle of a right-angled triangle to the ratios of the lengths of the two sides. All geosciences, including navigation, solid mechanics, celestial mechanics, geodesy, and many more, utilise them extensively. This is due to the fact that, in comparison to other branches of mathematics, trigonometry is still seen as being extremely challenging and abstract.To learn more about trigonometric function, refer to:
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at aeropostale, david bought 4 t shirts and 3 pairs of jeans for $181. at the same store, jennifer bought 1 t shirt and 2 pairs of jeans for $94. the t shirts and jeans were the same price in both instances. what is the price of the t shirts?
The price of a t-shirt is $43.50.
Let's call the price of a t-shirt "t" and the price of a pair of jeans "j".
For David:
4t + 3j = 181
For Jennifer:
t + 2j = 94
We can use these two equations to solve for t and j. Subtracting the second equation from the first, we have:
3t + j = 87
Next, we can substitute the second equation into the third equation to eliminate t:
3(t + 2j) = 3 * 94 = 282
Expanding the left side, we have:
3t + 6j = 282
Subtracting j from both sides:
3t + 5j = 282 - j
Combining like terms:
3t + 6j = 282
Subtracting the first equation from the third equation:
2t = 181 - 94
Combining like terms:
2t = 87
Finally, solving for t:
t = 87 / 2 = 43.5
The price of a t-shirt is $43.50.
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The price of a t-shirt is $43.50.
Let's call the price of a t-shirt "t" and the price of a pair of jeans "j".
For David:
4t + 3j = 181
For Jennifer:
t + 2j = 94
We can use these two equations to solve for t and j. Subtracting the second equation from the first, we have:
3t + j = 87
Next, we can substitute the second equation into the third equation to eliminate t:
3(t + 2j) = 3 * 94 = 282
Expanding the left side, we have:
3t + 6j = 282
Subtracting j from both sides:
3t + 5j = 282 - j
Combining like terms:
3t + 6j = 282
Subtracting the first equation from the third equation:
2t = 181 - 94
Combining like terms:
2t = 87
Finally, solving for t:
t = 87 / 2 = 43.5
The price of a t-shirt is $43.50.
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Suppose X has an exponential distribution with rate parameter λ1. Suppose Y has an exponential distribution with rate parameter λ2. Suppose X and Y are independent. Calculate P(X > Y).
The probability of X being greater than Y is equal to 1 minus the probability of X being less than or equal to Y multiplied by the probability of Y being less than or equal to X, which can be expressed as 1 minus (1 - e^(-(λ1 + λ2)t))/2, or e^(-(λ1 + λ2)t)/2.
P(X > Y) = 1 - P(X ≤ Y) = 1 - (1 - e^(-(λ1 + λ2)t))/2 = e^(-(λ1 + λ2)t)/2
1. P(X > Y) = 1 - P(X ≤ Y)
2. P(X ≤ Y) = P(X ≤ Y ∩ Y ≤ X)
3. P(X ≤ Y ∩ Y ≤ X) = P(X ≤ Y)P(Y ≤ X) (Since X and Y are independent)
4. P(X ≤ Y) = 1 - P(X > Y)
5. P(Y ≤ X) = 1 - P(Y > X)
6. P(X > Y) = 1 - P(X ≤ Y)P(Y ≤ X)
7. P(X > Y) = 1 - (1 - e^(-(λ1 + λ2)t))/2
8. P(X > Y) = e^(-(λ1 + λ2)t)/2
The probability of X being greater than Y is equal to 1 minus the probability of X being less than or equal to Y. Since X and Y are independent, the probability of X being less than or equal to Y and Y being less than or equal to X is equal to the product of the probabilities of X being less than or equal to Y and Y being less than or equal to X. The probability of X being less than or equal to Y is equal to 1 minus the probability of X being greater than Y, and the probability of Y being less than or equal to X is equal to 1 minus the probability of Y being greater than X. Therefore, the probability of X being greater than Y is equal to 1 minus the probability of X being less than or equal to Y multiplied by the probability of Y being less than or equal to X, which can be expressed as 1 minus [tex](1 - e^(-(λ1 + λ2)t))/2, or e^(-(λ1 + λ2)t)/2.[/tex]
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hurry pls this is urgent
Calculate the area of a rhombus having diagonals equal to 6 cm and 8 cm?
A rhombus has 6 and 8 centimeter diagonals, 24 cm2 is the size of the rhombus.
In the case of provided diagonals, what is the formula to get the area of a rhombus?The product of the lengths of the diagonals divided by two equals the area of a rhombus. The formula Area = (d1 d2)/2 sq. is used to determine the area of a rhombus using diagonals.
The product of the lengths of the diagonals divided by two equals the area of a rhombus.
Knowing that, First diagonal, d1=6 cm. Diagonal 2, d2 = 8 cm Rhombus surface area is given by A=d1d22 =682 =482 =24 cm2. So, the rhombus has a 24 cm2 surface area.
A rhombus has 6 and 8 centimeter diagonals, 24 cm2 is the size of the rhombus.
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according to a report of the neilson company, 76% of internet searches used the search engine. let x be the number of internet searches that used . assume that a sample of 25 searches were studied. a) calculate the probability that exactly 20 of the searches used . b) find answer the questions and upload your rguroo work in the text box below by cropping (snipping) out the panel and results , saving it on your device and then upload.
According to a report from the Neilson company,
a) The probability that exactly 20 of them used Search Engine is 0.068
b) the probability that 15 or fewer used Search Engines is 0.0560
c) The probability that more than 20 of them used a Search Engine is 0.2484
d) Yes, it would be unusual if fewer than 12 used Search Engine.
a. The probability that exactly 20 of 25 searches used the Search Engine can be calculated using the binomial distribution formula:
P(X=20) = (25 choose 20) * [tex](0.76)^{20} * (0.24)^{(25-20)}[/tex]= 0.068b. The probability that 15 or fewer of 25 searches used the Search Engine can be calculated as the sum of the probabilities of 0 to 15 searches using the Search Engine:
P(X <= 15) = Σ P(X=k), for k = 0 to 15c. The probability that more than 20 of 25 searches used the Search Engine can be calculated as the complement of the probability of 20 or fewer searches using the Search Engine:
P(X > 20) = 1 - P(X <= 20)d. The probability of fewer than 12 of 25 searches using the Search Engine can be calculated as the sum of the probabilities of 0 to 11 searches using the Search Engine:
P(X < 12) = Σ P(X=k), for k = 0 to 11.So Yes, It would be unusual if fewer than 12 of 25 searches used the Search Engine if the probability is less than a certain threshold, such as 0.05, which is often used to determine statistical significance.
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Complete Question:
According to a report of the Nielsen company,76% of internet searches used the search engine. Assume that a sample of 25 searches is studied.
a. What is the probability that exactly 20 of them used Search Engine?
b.What is the probability that 15 or fewer used Search Engine?
c.What is the probability that more than 20 of them used Search Engine?
d.Would it be unusual if fewer than 12 used Search Engine?
How do you know if a graph is positive or negative correlation?
As the y variable tends to increase when the x variable increases, we say the variables have a positive correlation. When the y variable tends to decrease as the x variable rises, we say there is a negative correlation between the variables.
What is a graph?A graph is a visual representation or diagram that displays facts or values in an organized manner in mathematics.
The points on a graph are typically used to depict the relationships between two or more things.
Making a diagram that shows the link between two or more objects is known as developing a graph.
Scatterplots frequently reveal relationships or trends.
We say there is a positive correlation between the variables when the y variable tends to rise when the x variable rises.
We say there is a negative correlation between the variables when the y variable tends to decline as the x variable rises.
Therefore, a y variable tends to increase when the x variable increases, we say the variables have a positive correlation. When the y variable tends to decrease as the x variable rises, we say there is a negative correlation between the variables.
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Yep here we go again:
The price of a cell phone is usually $250. Elena’s mom buys one of these cell phones for $150. What percentage of the usual price did she pay?
Elena’s dad buys another type of cell phone that also usually sells for $250. He pays 75% of the usual price. How much did he pay?
If you don't or not sure of an answer please don't answer it.
I will mark brainliest to the best answer!!
For the first question, the percentage of the usual price that Elena's mom paid is 60%, and for the second question, the price that Elena's dad paid is $187.50.
For the first question, to find the percentage of the usual price Elena's mom paid, you can divide the actual price by the usual price and multiply by 100:
$150 ÷ $250 × 100 = 60%
So, Elena's mom paid 60% of the usual price for the cell phone.
For the second question, you can use the percentage of the usual price to find the actual price:
$250 × 75/100 = $187.50
So, Elena's dad paid $187.50 for the other type of cell phone, which is 75% of the usual price.
To summarize, Elena's mom paid 60% of the usual price of $250 and paid $150, while Elena's dad paid $187.50, which is 75% of the usual price.
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Determine the mean, median, standard deviation, and interquartile range for each data set. Then, use the graphing tool to determine the value of the standard deviation.
Number of Days Member Used Facility Last Month
Manuel’s Data Gretchen’s Data
3 22
6 4
8 7
11 8
12 12
8 15
6 10
3 7
10 9
5 6
14 13
9 3
7 8
10 10
8 10
Question
Complete the table for Manuel’s and Gretchen’s data sets.
Type the correct answer in each box. Use numerals instead of words.
The mean, median, standard deviation, and interquartile range for each data set is given below.
How to calculate the valuesThe IQR is a measure of the middle 50% of values when they are organized from lowest to highest. To get the interquartile range, find the median (middle value) of the lower and upper half of the data (IQR).
These are the values for the quartiles 1 (Q1) and 3 (Q3). The IQR is the distinction between Q3 and Q1.
Using the statistical tool, the following were arrived at for Manuel:
Standard Deviation = 3.13961
Mean = 8
Median = 8
IQR = Q3-Q1 = 10 - 6 = 4
Using the statistical tool, the following were arrived at for Gretchen:
Standard Deviation = 4.68737.
Mean = 9.6
Median = 9
IQR = IQR = Q3-Q1 = 12 - 7 = 5.
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show thatf′(x) = 0 at least once for the functionf(x) = 1−ex (e−1) sinπ2xon the interval [0,1]
the function is defined on the interval [0,1], we must have 0 ≤ x ≤ 1. Therefore, the value of x for which[tex]f'(x)=0 is x = 0.[/tex]
To find the value of x for which[tex]f'(x)=0[/tex], we need to differentiate the given function.
[tex]f'(x) = (e-1)(π/2)(ex)(cos(π/2x)) - (sin(π/2x))[/tex]
Now, set [tex]f'(x) = 0[/tex]and solve for x.
[tex](e-1)(π/2)(ex)(cos(π/2x)) - (sin(π/2x)) = 0(e-1)(π/2)(ex) = (sin(π/2x))ex = (sin(π/2x))/(e-1)(π/2)[/tex]
Taking natural log on both sides
[tex]xln(e) = ln(sin(π/2x)) - ln((e-1)(π/2))xln(e) = ln(sin(π/2x)) - ln(e-1) - ln(π/2)x = (ln(sin(π/2x)) - ln(e-1) - ln(π/2))/ln(e)[/tex]
Since the function is defined on the interval [0,1], we must have 0 ≤ x ≤ 1.
Therefore, the value of x for which [tex]f'(x)=0 is x = 0.[/tex]
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Solve , x2-50=0where x is a real number. Round your answer to the nearest hundredth.
The value of 'x' in x² - 50 = 0 is either - 7.07 or + 7.07.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, A quadratic equation x² - 50 = 0, where x belongs to R.
x² = 50.
x = ± √50.
x = ± 7.07.
So, The value of x can be - 7.07 or it can be + 7.07 squaring both numbers will result to approximately 50.
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The requried solution of the given expression is given as x = 7.07, -7.07.
What are the zeros of equations?Zeros of an equation are defined as the value of the independent variable where the equation or function gives zero.
Here,
Given expression,
x² - 50 = 0
x² = 50
x = √50
x = ±7.07
Thus, the requried solution of the given expression is given as x = 7.07, -7.07.
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How to Convert Acres to Square Miles
Divide the area value by 640 to get 1 Acre = 0.0016 Square Miles.
Explain about the Convert Acres to Square Miles?It is necessary to calculate how many times 640 is multiplied by the number of acres in order to get how many square miles. Each 640 acres equals 1 square mile. Calculators and hand division are both acceptable methods of division.
The result of multiplying two lengths is a square unit of area, such as a square mile. Given that each length in square miles is expressed in miles, miles2 is obtained by multiplying miles by miles.
The two-acre plot's circumference, if two square acres were placed side by side, would be 1252.26 feet, or almost four and a half times around, or a mile.
1Acre = 0.0015625
= 0.0016Sq. miles
divide the area value by 640
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yummy bakery and oh so good bakery had a contest with these results: yummy sold 9 fewer rolls than twice what oh so good sold. together they sold a total of 639 rolls. find the number of rolls sold by each bakery. provide the work that shows how u arrived at your answer.
The yummy bakery sold 216 roles and oh so good bakery sold 523 roles.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that yummy bakery and oh so good bakery had a contest with these results: yummy sold 9 fewer rolls than twice what oh so good sold. together they sold a total of 639 rolls.
We can write the relation as -
2x - 9 + x = 639
3x - 9 = 639
3x = 648
x = 216
So, we can write -
2x - 9 = 2 x 216 - 9 = 532 - 9 = 523
Therefore, the yummy bakery sold 216 roles and oh so good bakery sold 523 roles.
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Let a be a 32 matrix. explain why the equation ax b cannot be consistent for all b in . generalize your argument to the case of an arbitrary a with more rows than columns.A. When written in reduced echelon form, any 3x2 matrix will have at least one column of all zeros. Since there is not a pivot in every column, the matrix cannot be consistent B. When written in reduced echelon form, any 3x2 matrix will have at least one row of all zeros. When solving Ax = b. that row will represent an equation with infinitely many solutions C. When written in reduced echelon form, any 3x2 matrix will have at least one row of all zeros. When solving Ax=b, that row will represent an equation with a zero on the left side and a possibly nonzero entry of b on the right side. D. When written in reduced echelon form any 3x2 matrix will have a pivot in every row.
When written in reduced row echelon form, any 3 ×2 matrix will have at least one row of all zeros. When solving Ax=b, that row will represent an equation with a zero on the left side and a possibly nonzero entry of b on the right side.
This means that there is no solution for the equation Ax=b for that specific b, making the system inconsistent.
Generalizing this argument to the case of an arbitrary A with more rows than columns, if the number of rows in A is greater than the number of columns, the reduced row echelon form of A will have at least one row of all zeros, and the corresponding equation in Ax=b will have no solution, making the system inconsistent for that specific b.
Hence, the correct answer is B.
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--The given question is incomplete; the complete question is
"Let A be a 3 times ×2 matrix. Explain why the equation Ax=b cannot be consistent for all b in a set of real numbers R3.
Generalize your argument to the case of an arbitrary A with more rows than columns.
Why is the equation Ax=b not consistent for all b in a set of real numbers R3?
A. When written in reduced row echelon form, any 3 ×2 matrix will have at least one column of all zeros. Since there is not a pivot in every column, the matrix cannot be consistent.
B. When written in reduced row echelon form, any 3 ×2 matrix will have at least one row of all zeros. When solving Ax=b, that row will represent an equation with a zero on the left side and a possibly nonzero entry of b on the right side.
C. When written in reduced row echelon form, any 3 ×2 matrix will have at least one row of all zeros. When solving Ax=b, that row will represent an equation with infinitely many solutions.
D. When written in reduced row echelon form, any 3 ×2 matrix will have a pivot in every row. Because there are more rows than columns, this is too many pivots, and the system will be inconsistent."--
Find the value of x and measure of angle V if ABCD~TUVW
Rectangle A measures 9 in. by 3 in. Rectangle B is a scaled copy of Rectangle A.
Select all of the measurement pairs that could be the dimensions of Rectangle B.
4.5 in. by 1.5 in.
8 in. by 2 in.
10 in. by 4 in.
13.5 in. by 4.5 in.
90 in. by 30 in.
14 in. by 8 in.
According to the information, the options that correspond to the possible scale copies of the original rectangle would be 4.5 in. by 1.5 in. yes, 13.5 in. by 4.5in. Yes, and 90 in. by 30in. Yeah.
How to calculate the possible scales?To calculate the possible scales we must carry out the following procedure: First we must make a division between the two lengths of the sides of the rectangle:
9 / 3 = 3
So, the relationship between these two lengths would be 3. Now we just have to check which options follow this proportional relationship. According to this procedure they would be the following:
4.5in. by 1.5in
13.5in. by 4.5in
90 in. by 30in
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