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 look at the image.
Answer:
It is the first option
Step-by-step explanation:
hope this helps you
GIVING BRAINLIEST!!!!!!
SOLVE FAST
Answer:
Step-by-step explanation:
a(x) = 3x + 2
-3,0,5,6
a(-3) = 3*(-3) + 2
a(-3) = - 9 +2
a(-3) = - 7
===============
a(0) = 3*0 + 2
a(0) = 2
================
a(5) = 3*5 + 2
a(5) = 15 + 2
a(5) = 17
================
a(6) = 3*6 + 2
a(6) = 18 + 2
a(6) = 20
Solve for h in the mathematical formula V=pi r^(2)h
Answer:
[tex]\frac{V}{\pi r^{2} }[/tex] = h
Step-by-step explanation:
Lets try and get everything we can away from h.
V = [tex]\pi[/tex][tex]r^{2} h[/tex]
Divide [tex]\pi[/tex][tex]r^{2}[/tex] from both sides of the equation.
Now we end up with:
[tex]\frac{V}{\pi r^{2} }[/tex] = h
Find the distance between the two points in simplest radical form.
(-5,8) and (-3,1)
Answer:
√ 53
Step-by-step explanation:
Answer:
Step-by-step explanation:
Ted determined that the length of the diagonal of his square-shaped lawn was start root 83 end root feet. Which is closest to the length in feet of the diagonal of Ted's lawn?
A8
B.9
C.41
D.166
Answer:
166
Step-by-step explanation:
Just Add 83+83=166
Janae needs to solve the equation 3x + 5/16 = 3/4 - 1/8x - 1/2. What is an advantage of using the multiplication property of equality before combining like terms using other properties? In your explanation, tell the value by which you would multiply both sides.
Answer:
Step-by-step explanation:
Given the expression 3x + 5/16 = 3/4 - 1/8x - 1/2
First we need to use the multiplication prope-rty before combining the like terms. The importance of this is to covent all fraction's to whole numbers.
Multiply through by 16
48x+5= 12-2x-8
Next is to collect the like terms
48x+2x = -8+12-5
50x = -1
Divide both sides by 50
50x/50 = -1/50
x = -1/50
The value used to multiply both sides is 16 and the value of x is -1/50
Sorry, but I also need help on this
HELP!!!
Your health insurance premium is $225 monthly. Your deductible is $2000, how much will your health insurance premium and deductible cost you annually?
A. $2700
B. $4700
C.$5500
D.$2000
Help help!!!!!!!!!!!!!!!!!!!!!!
Answer:
10
Step-by-step explanation:
4 x 1 / 2
Reduce the numbers with the greatest common factor 2
5 x 2 = 10
Find the result when 85 is increased by 20%.
Answer:
102
Step-by-step explanation:
20% of 85 is 17.
85+17 = 102
hope this helps! :)
Answer:
102
Step-by-step explanation:
To find the new amount, multiply 85 by 1.2
85(1.2)
= 102
So, when 85 is increased by 20%, the result is 102.
-23 = 13w + 2w + 22
w =
Answer:
w=-3
Step-by-step explanation:
HELP ME PLZZ I NEED HELP WITH THIS!!
Answer:
it is C
Step-by-step explanation:
it is c because all of the other answers are stated in the article, and a opinion is something you think
How do I solve this!
Answer:
45
Step-by-step explanation:
7 x 9 = 63
So, you would multiply 5 by 9 too:
5 x 9 = 45
Hope this helps!
HELP WILL GIVE CROWN!!!!!
Answer:
d
Step-by-step explanation:
i know this question cause i got a A +on the test dont worry
Answer:
C. 9.6×10^7 kmStep-by-step explanation:
Given the distance
9.6×10^10 mConverted into km, considering 1 m = 10^-3 km:
9.6×10^10 × 10^-3 km = 9.6×10^(10 -3) km = 9.6×10^7 kmCorrect option is C
What is the value of the product (3 – 2i)(3 + 2i)?
5
9 + 4i
09 - 4i
0 13
Answer:
13
Step-by-step explanation:
(3-2i)(3+2i)
3×3+3(2i)-2i×3-2i(2i)
13
Hope this helps! :)
Answer: 13
Step-by-step explanation:
got it right
Whats the domain and range
Answer:
d= all the x values
r=all the y values
Step-by-step explanation:
Plz, help me!!!
Write each interval as an inequality. Then graph the solutions. (–∞,5)
The interval notation given to us means that x is between negative infinity and 5, excluding both endpoints.
So we can write [tex]-\infty < x < 5[/tex] which shortens to [tex]x < 5[/tex]
The graph will have an open hole at 5 on the number line, and shading to the left to indicate all points smaller than 5.
the difference of three times a number x and 4
Answer:
3x - 4
Step-by-step explanation:
Difference means subtraction.
Times means multiplication.
Three times a number x; 3 * x = 3x
3x - 4
Best of Luck!
It's not mentioned exactly what we have to do but can be predicted that we have to frame equation on the basis of the given data.
Given, the number to be considered is x
Three times x = 3x4 is subtracted = -4The required equation will be:
➝ 3x - 4
And this is only our final answer. And we are done !
Carry On Learning [tex]![/tex]
The measure of the supplement of an angle is three times the measure of the
angle.
Find the measures of the angle and its supplement.
Let the angle to be solved be x
Let the supplement/compliment by y
x+y=90 Complimentary angles add up to 90 degrees.
x+3y=180 Supplementary angles add up to 180 degrees, the other angle is thrice the other compliment.
Evaluating this as a system:
x+y=90 Isolate x:
x=90−y Input into the other equation:
(90−y)+3y=180 Combine like terms, isolate y and its coefficients:
2y=90 Isolate y
y=45 Input into the first equation:
x+45=90 Isolate x:
x=45degrees
find the distance traveled in 15 seconds by an object moving with a velocity of v(t)= 20 + 3t feet per second where t is the time in seconds.
Answer:
4 because you divide 3 and 15 by three which gives you 5 then divide 20 by that gives you 4
−60 = −0.8k
What does K answer?
PLA ANSWER
Answer:
75 = k
Step-by-step explanation:
−60 = −0.8k
Divide each side by -.8
−60/-.8 = −0.8k/-.8
75 = k
If M is the midpoint of segment AB, and AM = x+3 and AB = 3x-4, determine the length of segment AB.
Answer:
AB=2AM
3x-4=2(x+3)
3x-4=2x+6
3x-2x=4+6
x=10
So length AB 3x-4=3(10)-4
30-4=26
The length of AB is 26 units.
What is a line segment ?A line segment is denoted by two endpoints.
According to the given question M is the midpoint of segment AB.
Given, AM = x + 3 and AB = 3x - 4.
As AM is the midpoint if we take twice of AM that will be equal to AB.
∴ 2(AM) = AB
2(x+3) = 3x - 4.
2x + 6 = 3x - 4.
2x - 3x = -4 - 6.
-x = - 10.
x = 10.
So the length of the line segment AB will be (3x - 4) = 3(10) - 4 units.
= 30 - 4
= 26 units.
learn more about line segment here ;
https://brainly.com/question/25727583
#SPJ2
2) A square and a rectangle have the same perimeter. The square has a side length of 6 x units. The
rectangle has a length of (5x + 8) and a width of 6 units. For what value of x, will the square and
rectangle have the same perimeter?
30x usb
a. 2
30 x 54 = 30x 54
b. 4
C. 5
d. 3
Answer:
The value of X should be 8
A truck can be rented from Company A for $150 a day plus $0.40 per mile. Company B charges $80 a day plus $0.90 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer:
140 miles
Step-by-step explanation:
Let
Number of miles = m
Total cost = fixed cost + variable cost
Company A = $150 + $0.40m
Company B = $80 + $0.90m
Equate company A and company B equation
Company A = Company B
$150 + $0.40m = $80 + $0.90m
Collect like terms
150 - 80 = 0.90m - 0.40m
70 = 0.50m
m = 70 / 0.50
= 140
m = 140 miles
The number of miles in a day at which the rental costs for Company A and Company B are the same is 140 miles
What is the elevation of Tammys house
Answer: 38
Step-by-step explanation: quite simple if you do the math 24 + 14 you get 38 which we can conclude as the angle of his house
1) Mr. Turnage spent $800 on a new computer. He used his debit card to
make this purchase. In his bank account he had $783. What will his bank
account balance show after making this purchase?
Answer:
-62, because he didn't have enough of his money since he was using debit.
Brainlest:
10 1/2 divided by 3/8 = 12/2 times 8/3= 9/6 is this ture?
Answer:
No, i dont think so
Step-by-step explanation:
10 1/2 divided by 3/8:
KCF (keep, change the sign, flip the fraction)
·21/2×8/3=168/6
168/6=28
12/2×8/3=16
therefore they are not equal so it is not true
Hope this helped ;)
Answer:
well lets solve this:
10 1/2-->21/10
21/10 dvided by 3/8-------> to divide fractions we do this: 10/21 x 3/8 (swap the denom and num of the firs fraction then multiply by the sec)
10/21x3/8=30/168 = 3/56
12/2 x 8/3 = 6x 8/3= 6/1x8/3=48/3
48/3 simplified is 16/1 =16
3/56x16/1 = 48/56
48/56=24/28=12/14=6/7
Step-by-step explanation:
Therfore this is false
-hope this helps
The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas. Write the ratios as fractions in simplest form.
Answer:
is there an example? or picture?
A number k is greater than 3. Which of the following is true about 3 k ?
Which of the following decimals would round to 6.6? *
6.723
6.526
6.57
6.49
Answer:
6.57
Step-by-step explanation:
if if you round 6.57 up in the tens place you will get 6.6