. Suppose (as is roughly true) that 88% of college men and 82% of college women were employed last summer. A sample survey interviews SRSs of 400 college men and 400 college women. The two samples are of course independent. (a) What is the approximate distribution of the proportion pF of women who worked last summer? What is the approximate distribution of the proportion pM of men who worked? (b) The survey wants to compare men and women. What is the approximate distribution of the difference in the proportions who worked, pM − p F ? Explain the reasoning behind your answer. (c) What is the probability that in the sample a higher proportion of women than men worked last summer?
Answer:
(a) The approximate distribution of the proportion pf of women who worked = 0.82, the standard distribution = 0.00738
The approximate distribution of the proportion pM of men who worked = 0.88, the standard distribution ≈ 0.01625
(b) pM - pF = 0.06
While pF - pM = -0.06
The difference in the standard deviation ≈ 0.01025
(c) The probability that a higher proportion of women than men worked last year is 0
Step-by-step explanation:
(a) The given information are;
The percentage of college men that were employed last summer = 88%
The percentage of college women that were employed last summer = 82%
The number of college men interviewed in the survey = 400
The number of college women interviewed in the survey = 400
Therefore, given that the proportion of women that worked = 0.82, we have for the binomial distribution;
p = 0.82
q = 1 - 0.82 = 0.18
n = 400
Therefore;
p × n = 0.82 × 400 = 328 > 10
q × n = 0.18 × 400 = 72 > 10
Therefore, the binomial distribution is approximately normal
We have;
[tex]The \ mean = p = 0.82\\\\The \ standard \ deviation, \sigma = \sqrt{ \dfrac{p \times q}{{n} } }= \sqrt{ \dfrac{0.82 \times 0.18}{{400} }} \approx 0.01921\\[/tex]
Therefore, the approximate distribution of the proportion pf of women who worked = 0.82, the standard distribution ≈ 0.01921
Similarly, given that the proportion of male that worked = 0.88, we have for the binomial distribution;
p = 0.88
q = 1 - 0.88 = 0.12
n = 400
Therefore;
p × n = 0.88 × 400 = 352 > 10
q × n = 0.12 × 400 = 42 > 10
Therefore, the binomial distribution is approximately normal
We have;
[tex]The \ mean = p = 0.88\\\\The \ standard \ deviation, \sigma = \sqrt{ \dfrac{p \times q}{{n} } }= \sqrt{ \dfrac{0.88 \times 0.12}{{400} }} \approx 0.01625\\[/tex]
Therefore, the approximate distribution of the proportion pM of men who worked = 0.88, the standard distribution ≈ 0.01625
(b) Given two normal random variables, we have
The distribution of the difference the two normal random variable = A normal random variable
The mean of the difference = The difference of the two means = pM - pF = 0.88 - 0.82 = 0.06
While pF - pM = -0.06
The difference in the standard deviation, giving only the real values, is given as follows;
[tex]The \ difference \ in \ standard \ deviation = \sqrt{ \dfrac{p_1 \times q_1}{{n_1} } -\dfrac{p_2 \times q_2}{{n_2} } }\\\\= \sqrt{\dfrac{0.82 \times 0.18}{{400} }-\dfrac{0.88 \times 0.12}{{400} }} \approx 0.01025\\[/tex]
(c) When there is no difference between the the proportion of men and women that worked last summer, the probability that there is a difference = 0
Therefore, taking 0 as the standard score, we have;
[tex]z = \dfrac{0 - (-0.06)}{0.01025} \approx 5.86[/tex]
Given that the maximum values for a cumulative distribution table is approximately 4, we have that the probability that a higher proportion of women than men worked last year is 0.
Please help me find the answer. WORTH 25 POINTS
Answer:
10x+5/16
Step-by-step explanation:
just add them all together
:) Hope you enjoy :)
Complete the sentence.
The amount of time it takes to give a dog a bath is most likely to be a function of the _____
A. type of food the dog eats
B. size of the dog
C. color of the dog
D. size of the house where the dog lives
Answer:
size of the dog
Step-by-step explanation:
Hope this helps
Option B is the correct answer.
Given that, the amount of time it takes to give a dog a bath is most likely to be a function of the _____.
What is the function?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
The amount of time it takes to give a dog a bath is directly proportional to the size of the dog.
Therefore, option B is the correct answer.
To learn more about the function visit:
https://brainly.com/question/12431044.
#SPJ2
factorise 16 x -54 x ^ 4
Step-by-step explanation:
16x - 54x⁴
= 2x(8 - 27x³)
....
Step-by-step explanation:
i hope this will help!!..
....
Whats the answer for this. I am stuck
Answer:
the probability that either B occurs without A occurring or A and B both occur is 0.73.
Step-by-step explanation:
HELP!!! I ONLY HAVE 2 MINUTES TO TURN THIS IN!!!!!
Write the generic form for a linear equation in slope-intercept form.
ANSWER FIRST TO GET BRAINLIEST!!!!
Answer:
The general form ax+by+c=0 is one of the many different forms you can write linear functions in. Other ones include the slope intercept form y=mx+b or slope-point form.
hello, I need help with this. any help is appreciated :)
50 000 cm2 = ? m2
Step-by-step explanation:
50 000 cm2 = 5 m2
hope it helps
Answer:
[tex]5 meters^{2}[/tex] or 5m2
Step-by-step explanation:
1 meter^2 = 10000 cm
There for we could set up a ratio for this problem
[tex]\frac{x}{50000}: \frac{1}{10000}[/tex]
Using cross-multiplication we get:
[tex]10000x = 50000[/tex]
Divide 50,000 by 10000 we get:
[tex]5[/tex]
Therefore the answer is [tex]5 meters^{2}[/tex]
50 000 cm2 = 5 m2
Hope this helps! :)
I need some help with this please
Answer:
3^5 = 3 x 5 ( False )
6^3 = 216 ( True )
9^1 = 1^9 ( False )
Step-by-step explanation:
3^5
= 3 x 3 x 3 x 3 x 3
= 243
6^3
= 6 x 6 x 6
= 216
9^1 = 9
First question:
[tex]3^5=3*3*3*3*3[/tex] ≠ [tex]3*5[/tex]
Answer: False
Second question:
[tex]216 = 6 * 6 * 6 = 6^3[/tex]
Answer: True
Third Question:
[tex]9^1[/tex] ≠ [tex]1 * 1*1*1*1*1*1*1*1=1^9[/tex]
Answer: False
Matt took 12 hours to read a 792 page book.
Which rate best represents the relationship between the number of pages Matt reads to the amount of time it took for him to read it?
A. 67 hours per page
B. 66 pages per hour
C. 65 pages per hour
D. 804 hours per page
The representation of Matt's reading the book is an illustration of unit rates
The best representation of the rate is (b) Matt reads 66 pages per hour
How to determine the representation?
The given parameters are:
Pages = 792 pages
Time = 12 hours
The rate is then calculated as:
Unit Rate = Pages/Time
This gives
Unit Rate = 792/12
Evaluate the quotient
Unit Rate = 66
This means that Matt reads 66 pages per hour
Read more about unit rates at:
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12. A wildlife manager determines that the
function y = 200 • 1. 07* represents the deer
population at a state park, x years after the
population is first counted. What is the population
after 12 years?
Answer:
450
Step-by-step explanation:
To evaluate the function for a particular value of the variable, put that value in place of the variable and do the arithmetic.
__
y = 200×1.07^x for x = 12
y = 200×1.07^12 ≈ 200×2.252 ≈ 450
The deer population is about 450 after 12 years.
1. Solve: 12 + 24 = 6 x 3 = ?
Answer:
False
Step-by-step explanation:
12 + 24 = 36
6 * 3 = 18
Answer: FALSE
Step-by-step explanation: So 12+24= 36 then 6 x 3 = 18 it's not the same answer
Are the ratios 5:20 and 1:2 equivalent?
Hey there!
Question reads….
“Are the ratios 5:20 and 1:2 equivalent?”
Let’s find out if they are or not!
5:20
= 5 ÷ 5 : 20 ÷ 5
= 1 : 4
So, therefore, your answer is: NO because 5:20 = 1:4 NOT 1:2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Two airplanes leave the same airport. One heads north, and the other heads east. After some time, the northbound airplane has traveled 45 kilometers. If the two airplanes are 53 kilometers apart, how far has the eastbound airplane traveled?
InbeldkxixknsmskalUhuuujuuu
true or false dont guess.
A triangle can be made by segments that are 15.9 cm, 10 cm and 25.9 cm.
Answer:
false
Step-by-step explanation:
for the segments to form a triangle, then
the sum of any 2 must be greater than the third.
15.9 + 10 = 25.9 ← not greater than 25.9
10 + 25.9 = 35.9 > 15.9
15.9 + 25.9 = 41.8 > 10
then the 3 segments will not form a triangle.
Sports A baseball is thrown into the air with an upward velocity of 30 ft/s. Its
height h, in feet, after t seconds is given by the function.h= -16t2 + 30t + 6. How
long will it take the ball to reach its maximum height? What is the ball's maximum
height? What is the range of the function?
Step-by-step explanation:
so, the function is
h(t) = -16t² + 30t + 6
we get the point of the extreme value(s) by finding the zero solution(s) of the first derivative of the function.
h'(t) = -32t + 30
finding the zero solution
-32t + 30 = 0
30 = 32t
t = 30/32 = 15/16 seconds
after 15/16 seconds (not even a full second) the ball reaches its maximum height.
the height at that maximum is then h(15/16) :
-16(15/16)² + 30×15/16 + 6 = - 15²/16 + 450/16 + 6 =
= -225/16 + 450/16 + 96/16 = 225/16 + 96/16 = 321/16 =
= 20.0625 ft
and so, the range (the interval or set of all valid functional values) is
0 <= h(t) <= 20.0625
as naturally, on a normal surface and environment, the height of the ball cannot go below 0 (when it hits the ground, it's over).
Please help me pleeeeeeeeeeease
Answer:
what do you need help on?
Jacob can make 6 math games in 1.6 of an hour. At this rate, how many math games could he make in 4 hours?
Answer:
15
Step-by-step explanation:
4/1.6=2.5
2.5*6=15
=15
Evaluate 2x + 4y if x = -1 and y = 3
Evaluate ab + c if a = 2 b = -4 and c=5
✏️SUBSTITUTION
Solution:
Number #12x + 4y
Given: x = -1, y = 3
2x + 4y2(-1) + 4(3)-2 + 1210Number #2ab + c
Given: a = 2, b = -4, c = 5
ab + c(2)(-4) + 5-8 + 5-3Answer:
Evaluate 2x + 4y if x = -1 and y = 3
10Evaluate ab + c if a = 2 b = -4 and c=5
-3•••••••••••••••••••••••••••••••••••••••••••••••••
#CarryOnLearning
A merchant offers a large group of items at 32% off later the merchant takes 16% off the sale prices and claims that the final price of these items is 186 off the original price.
what is the total percent discount?
The total discount was 48% of the original price of $387.50
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the original price.
Discount = (32% of x) + (16% of x) = 0.48x = 48% of x
The final price of these items is 186 off the original price.
x - 0.48x = x - 186
x = $387.50
The total discount was 48% of the original price of $387.50
The solution to the equation 6a = 42 gives a = 7
Find out more on equation at: https://brainly.com/question/2972832
Can someone please help explain how to do this?
What is the measure of B? C is 34 degrees.
Answer:
m<B= 56
Step-by-step explanation:
A triangle has 180 degrees. This is right triangle meaning there is one angle that is 90 degrees. That's angle A since it's indicated by the little box. So 90+34= 124. You then subtract that from 180 to get 56.
Directions Solve using any method.
17) Eve bought cupcakes for her sister's birthday party 10% of the 20 cupcakes had sprinkles
on top. How many cupcakes had sprinkles?
If x – 10 is a factor of x2 – 8x – 20, what is the other factor?
Answer:
(x−10) (x+2)
Step-by-step explanation:
In circle B, m DAC = 60°. Solve for v ifmDC = (7x – 42)°. If necessary,
round your answer to the nearest tenth.
Answer: 23.1
Step-by-step explanation:
By the inscribed angle theorem, we know the measure of arc DC is 120 degrees. So, we can set 120=7x-42.
162 = 7x
x = 162/7, which is about 23.1
a bag contains 11 counters, five of the counters are white .a counter is taken out of the bag at random and not replaced. a second counter is taken out of the bag at random.calculate the probability that only one of the counters are white
Answer:
6/11
Step-by-step explanation:
5 of the counters are white that are taken out of the bag. That means if one more was taken out if the bag after that was the only white counter left then we can conclude that since there are 11 counters in the bag and 6 are white then, the probability of picking a white counter would be 6/11.
Have a great rest of your day
#TheWizzer
Answer:
P(of picking one of the white counters )= 8/11
Step-by-step explanation:
Firstly you need to identify the counters
White counters = 5
Unknown= 6
Total outcome = 11
With the aid of a tree diagram and following the condition of not replaced we go on and compute our findings
These are the cost and revenue functions for a line of smartphones:
R(x) = 952x – 0. 68x2
C(x) = -153x + 371,450
Based on these functions, what is the maximum profit that can be made, to the nearest dollar?
A)$68,850
B)$77,456
C)$234,706
D)$332,200
Answer:
Its B $77,456 I just got it correct on the quiz
Step-by-step explanation:
Click on the correct equation to show the commutative property. 2 + 3 = 5
Answer:
3 + 2 = 5
Step-by-step explanation:
Remember Commutative Property by thinking about what happens when someone has to "commute" (driving back and forth to work or school) If the numbers in the addition MOVE then it is Commutative Property.
Which statement is true about this comparison? 0.739>0.7380 CLEAR CHECK It is correct because placing a zero at the end of a decimal makes it smaller. It is correct. The digits in the tenths and hundredths places are the same, but in the thousandths place, 9 is greater than 8. It is incorrect because 0.7380 has more digits after the decimal point. It is incorrect. 739 is less than 7,380.
Answer:
It is correct. The digits in the tenths and hundredths places are the same, but in the thousandths place, 9 is greater than 8
Step-by-step explanation:
Given
[tex]0.739 > 0.7380[/tex]
Required
Select the true statement
Analyzing both number base on the place value.
Tenth: 7 = 7
Hundredth: 3 = 3
Thousandth: 9 > 8
Hence, the statement is correct.
Option B answers the question because 9 is greater than 8
What is the factored form of x^3-1? (x^3-1)(x^2+x+1) (x-1)(x^2-x+1) (x-1)(X^2+x+1) (x^3-1)(x^2+2x+1)
Jess Used 11 1/2 cups of flour to make 3 1/2 batches of oatmeal cookies. One batch makes 24coookies .If she follows the same recipe, How much batches of cookies can she make with 16 1/2
Answer:
Jess used 11 1/2 cups of flour to make 3 1 / 2
batches of oatmeal cookies. One batch makes 24 cookies.
If Jess follows the same recipe, about how many cookies can she make with 16 1/2 cups of flour ?
A- 30
B- 120
C-200
D-380
Step-by-step explanation:
Find value of x degrees
half the hexagon is a straight line so its 180°
then 180 will be divided by the 3 sectors
180°÷3
=60°