A roadside assistance company gets millions of requests per year, with about a quarter of the requests in
summer and a quarter in winter. Suppose that 12% of all of the summer requests and 15% of the winter
requests are for help with a lockout. A data analyst pulls separate random samples of 200 summer and winter
requests and will look at the difference (summer winter) between the proportion of requests for help with
a lockout in each sample.
What are the mean and standard deviation of the sampling distribution of the difference in sample
proportions?
Answer: -0.03
sqrt ((0.12 (0.88) / 200) + (0.15)(0.85)/200)
Step-by-step explanation:
The mean of the sampling distribution of the difference in sample proportions is -0.03, and the standard deviation is 0.0321.
What is the standard deviation?A standard deviation (σ) is a measure of the distribution of the data in reference to the mean.
The proportion of lockout help requests in the summer population is 12% or 0.12, and the proportion in the winter population is 15% or 0.15. The sample sizes are both 200.
Using these values, we can calculate the mean and standard deviation of the sampling distribution of the difference in sample proportions:
Mean = p₁ - p₂ = 0.12 - 0.15 = -0.03
Standard deviation = √[ (p₁ (1 - p₁) / n₁) + (p₂ (1 - p₂) / n₂) ]
= √[ (0.12 (1 - 0.12) / 200) + (0.15 (1 - 0.15) / 200) ]
= √[ (0.000504) + (0.000525) ]
= √[ 0.001029 ]
= 0.0321
Therefore, the mean of the sampling distribution of the difference in sample proportions is -0.03, and the standard deviation is 0.0321.
Learn more about the standard deviation here:
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A box of 3 picture hangers sells for $2.22. What is the unit rate
Answer:
0.74 cents each unit piece
Step-by-step explanation:
2.22 ÷ 3 = 0.74
Solve for s. -5(2s + 5) = -3s + 4
Answer:
The answer is -2. Good luck!
Answer:
s=-2
Step-by-step explanation:
-5(2s+2)=-3s+4
-10s-10=-3s+4
-10=-3s+4+10s
-10=7s+4
-10-4=7s
-14=7s
-14/7=s
-2=s
s=-2
Select the correct answer
The variable p varies directly as the square of q. If p = 24 when q = 4, what is the value of p when q = 10?
3.84
9.6
150
60
Answer:
C. 150
Step-by-step explanation:
It's right on Plato.
Evaluate the expression
y+243.8 when y=79
Solve this question for brainlest
what is the mean of this data set 8,2,5,12
Answer:
6.75
Step-by-step explanation:
Add up all the numbers in the data set :
8 + 2 + 5 + 12 = 27
Divide 27 by the total numbers in the data set :
27 ÷ 4 = 6.75
Therefore, the mean if the data set is 6.75
Please I need help fast can’t figure this out
If sin(0) = 0.788 , then what is the approximate value of csc(0) ?
Answer:
It is 1.27Step-by-step explanation:
[tex] \csc \: x = \frac{1}{ \sin \: x } \\ \csc(0) = \frac{1}{ \sin(0) } \\ if \: \sin(0) = 0.788 \: so \\ \csc(0) = \frac{1}{0.788} \\ \\ \csc(0) = 1.27[/tex]
Thanks for this question :)
Answer: 1.27
I hope that helps!!
I NEED HELP WITH A PROPLEM
Answer:
A 121 m^2
Step-by-step explanation:
CONVERT THE PERCENTAGES FRACTION 140%
Answer:
7/5 simplified
Step-by-step explanation:
Its 7/5 Trust
Brainliest please!
Answer:
14/10 or 7/5
Step-by-step explanation:
Find the value of x in the diagram
Answer:
x = 21
Step-by-step explanation:
Based on the inscribed angle theorem, we would have:
120° = 2(3x - 3)°
Solve for x
120 = 2*3x - 2*3
120 = 6x - 6
Add 6 to both sides
120 + 6 = 6x
126 = 6x
Divide both sides by 6
126/6 = x
21 = x
x = 21
The following quadrilateral is a parallelogram. Solve for x, y, and z.
Answer:
Angle X = 73 degrees, Angle Z = 34 degrees, and Angle Y = 146 degrees
Find in the missing values to make the equations true.
Answer: 21
12
Log8(8 is under the log) the answer is 7
Step-by-step explanation:
11) A fitness center charges $5per visit, plus an additional monthly fee of $15.
If Rick visits the gym 15 times in a month, how much would it cost him?
If you can do both that would be great
Answer:
$90
Step-by-step explanation:
15 × 5 = 75
75 + 15 = 90
$90
Answer:
It would cost Rick $90, if he visted the Gym 15 times in a month.
Step-by-step explanation:
15 x 5 =75
75 + 15 =90
can someone please help me ?? i’ll give brainliest
Answer:
ABE bc its the same degree angle
Step-by-step explanation:
Answer:
C) angle BEF
Step-by-step explanation:
Vertical angles are angles opposite each other where two lines cross. BEF is opposite of DEH
Justin earns a base salary of $1500 per month at
the jewelry shop. He also earns a 3% commission
on all sales. If Just sold $82,975 worth of jewelry
last month, how much would he make for the
month including his base salary and commission?
Answer: $1500 + 3% + $82,975= 84475.03
Step-by-step explanation:
10. Your bedroom ceiling is 10 feet high and is 2 times as high as the living room ceiling. Write and solve an equation with one variable to find the height h of the living room ceiling.
Answer:
h = 5 ft, which does not make sense since a 5 ft ceiling is kind of small
Step-by-step explanation:
b = 10 ft and h = b / 2, so h = 10/2, h = 5 ft
A chemist mixed two samples together: a gray liquid that boils at 103°C and a colorless gas that boils at 19°C. She analyzed the results and found two ending substances. One of the ending substances was a pink liquid. This ending substance is made up of the repeating group of atoms shown above. Which of the diagrams to the left shows the repeating groups of atoms that make up the samples the chemist mixed together?
Answer:
Its C
Step-by-step explanation:
Diagram c to the left shows the repeating groups of atoms that make up the samples the chemist mixed together.
What is atoms?Atoms are the smallest unit of matter that make up all physical objects. Atoms are composed of three main components: protons, neutrons, and electrons. Protons and neutrons are found in the nucleus of the atom and have a positive charge, while electrons orbit the nucleus and have a negative charge.
here, we have,
we know that,
Atoms can join together to form molecules, which are the building blocks of all matter. Atoms of different elements can join together in different ways to form compounds and these compounds are the basis of all substances. Atoms are also the basis of all chemical reactions and can exist in different physical states, such as solid, liquid, or gas. Atoms can also be combined to form isotopes, which are atoms of the same element with different numbers of neutrons.
To learn more about atoms
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complete question:
11. A chemist mixed two samples together: a brown solid that melts at about 1,300°C and a colorless liquid that melts at about 20°C. She analyzed the results and found two ending substances. One of the ending substances melts at about 250°C. This ending substance is made up of the repeating group of atoms shown above. Which of the diagrams to the left shows the repeating groups of atoms that make up the samples the chemist mixed together?
Please help meeeeeeeeeeeeeeeeeeeee
Answer:
64 g
Step-by-step explanation:
Lets gather the Info
Amount needed = 161 g
Amount given = 97 g
Lets form an equation:
161 - 97 = x
x in this case is the number of grams needed to fulfill the amount needed.
161 - 97 = 64 g
He needs 64 g of cheese.
If my answer is wrong pls correct me.
If you like my answer and explanation pls mark me as brainliest.
-Chetan K
Can someone please help ?
This figure was broken into a triangle and a parallelogram as shown. Use the figures to complete the statements. The height of the triangle his in. The area of the triangle is vin.? The area of the parallelogram is in. 2 ? The area of the irregular figure is in. 2. ? h 22 in. 8 in. 10 in. Nin. 8 in. 8 in.
Answer: Use the figures to complete the statements.
The height of the triangle h is
✔ 12
in.
The area of the triangle is
✔ 48
in.2.
The area of the parallelogram is
✔ 80
in.2.
The area of the irregular figure is
✔ 128
in.2.
Step-by-step explanation: I js now got it right by the power of guessing
helpp:)))) PLS
Answer the following using >, <, or =. | − 4| ______ |4|
A: <
B: >
C: =
Answer:
=
Step-by-step explanation:
Because |-4| is basically 4 since its the absolute value of that..
Find the distance between A(4, —2) and B(—1, 2).
Round to the nearest tenth.
Answer:
6.4 to nearest tenth.
Step-by-step explanation:
AB = √[(x2 - x1)^2 + (y2-y1)^2]
= √[(-1 - 4)^2 + (2 - (-2))^2]
= √(25 + 16)
= 6.403
4. The measures of segment BS and segment PS are both 4.5 feet and m_PBS = 56°.
a. Find the measure of BSP. Item 2 says that “Angle QPS is supplementary to PSR."
b. Is BPS a unique triangle, or can more than one triangle be formed using the given segment
lengths and angle measures? Explain.
Consider the probability that fewer than 46 out of 134 students will not pass their college placement exams. Assume the probability that a given student will not pass their college placement exam is 98%. Specify whether the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.
a. Yes
b. No
Answer:
b. No
Step-by-step explanation:
Binomial approximation to the normal:
Binomial distribution has n trials, with p probability.
If
[tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], it can be approximated to the normal distribution.
Assume the probability that a given student will not pass their college placement exam is 98%.
This means that [tex]p = 0.98[/tex]
134 students:
This means that [tex]n = 134[/tex]
Necessary conditions:
[tex]np = 134*0.98 = 131.32 \geq 10[/tex]
[tex]n(1-p) = 134*0.02 = 2.68 < 10[/tex]
Since the necessary condition n(1-p) < 10 is not satisfied, the answer is No, given by option b.
Joe's math homework took 20 minutes to complete. If Joe finished his homework at 8:40 P.M., what time did he start his homework?
This table gives a few (x,y) pairs of a line in the coordinate plane. What is the y intercept of the line?
Answer:
0,34
Step-by-step explanation: when you do x2-x1/y2-y1 with the coordinates you get slope plug that in the the y= mx+b equation with any one of the coordinates and you get the y intercept.
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
And please say which letters it is, thx!
Jose draws ABC. AB has a length of 10 inches and BC has a length of 15 inches.
Determine whether each measurement could be the length of AC.
Choose Yes or No for each measurement.
a. 4 inches Yes : No
b. 15 inches Yes : No
c. 23 inches Yes : No
d. 5 inches Yes : No
e. 25 inches Yes : No
f. 10 inches Yes : No
Find the missing side length.
AJKL ~ AGKH