1. A random sample of 400 married couples was selected from a large population of married couples. There were 20 couples in which the wife was taller than her husband, and there were 380 couples in which the wife was shorter that her husband. Find a 95 percent confidence interval for the proportion of married couples in the population for which the wife is taller than her husband. Interpret your interval in the context of this question.
Answer:
[tex]CI = (0.028636,0.071364)[/tex]
I am 95% confident that the true proportion of couples where the wife is taller than her husband is captured in the interval (.028, .071)
Step-by-step explanation:
Given
[tex]n = 400[/tex]
[tex]x = 20[/tex] --- taller wife
[tex]y = 380[/tex] --- shorter wife
Required
Determine the 95% confidence interval of taller wives
First, calculate the proportion of taller wives
[tex]\hat p = \frac{x}{n}[/tex]
[tex]\hat p = \frac{20}{400}[/tex]
[tex]\hat p = 0.05[/tex]
The z value for 95% confidence interval is:
[tex]z = 1.96[/tex]
The confidence interval is calculated as:
[tex]CI = \hat p \± z \sqrt{\frac{\hat p (1 - \hat p)}{n}}[/tex]
[tex]CI = 0.05 \± 1.96* \sqrt{\frac{0.05 (1 - 0.05)}{400}}[/tex]
[tex]CI = 0.05 \± 1.96 * \sqrt{\frac{0.0475}{400}}[/tex]
[tex]CI = 0.05 \± 1.96 * \sqrt{0.00011875}[/tex]
[tex]CI = 0.05 \± 1.96 * 0.01090[/tex]
[tex]CI = 0.05 \± 0.021364[/tex]
This gives:
[tex]CI = (0.05 - 0.021364,0.05 + 0.021364)[/tex]
[tex]CI = (0.028636,0.071364)[/tex]
1. find the surface area 3 ft 4 ft 10 ft Your answer
Answer:
Surface area is 164 ft^2.
Step-by-step explanation:
2(10*4) + 2(10*3) + 2(4*3) = 164 ft^2
NEED HELP PLEASE AND THANK YOU.
40% of my grade
What is the relationship between the angles?!!???
Write an expression that is equivalent to -4(3x – 7).
-4(3x – 7) =
– D
2 +
?
PLZZZZ SOMEONE ANSWER I WOULD APPRECIATE IT A LOT!!!!!
PLZZZZ.
Answer:
Angle B: 26 degrees
Angle C: 26 degrees
Angle BSD: 97 degrees
Angle CSE: 97 degrees
Angle E: 57 degrees
Arc BC: 114 degrees
Step-by-step explanation:
Good luck boi
Please see picture. Which statement must be true?
Choose C.
x^2 = a/b must be true.
John flew a kite. He started flying the cat at 2:20 p.m. and ended at 3:14 p.m. How many minutes did John fly a kite?
A. 47 minutes
B. 50 minutes
C. 54 minutes
D. 55 minutes
Answer:
54 minutes
Step-by-step explanation:
3:14 = 3 × 60 = 180 + 14
= 194
2:20 = 2 × 60 = 120 + 20
= 140
194 - 140
= 54
What is the area of one of the triangular faces? in 2 4 in. 3 in. 7 in. 7 in. 5 in. 4 in. 5 in.
Answer:
55
Step-by-step explanation:
consider the polynomial function q(x)=-2x^8+5x^6-3x^5+50
What is the end behavior of the graph of q?
Choose 1 answer:
(Choice A) As x→∞, q(x)→∞, and as x→−∞, q(x)→∞
(Choice B) As x→∞, q(x)→-∞, and as x→−∞, q(x)→∞
(Choice C) As x→∞, q(x)→-∞, and as x→−∞, q(x)→-∞
(Choice D) As x→∞, q(x)→∞, and as x→−∞, q(x)→-∞
Answer:
C.
Step-by-step explanation:
Answer A and D are definitely incorrect. Hope this helps Zoey. #Zoeyiscute:)
PLEASE HELP!
Write down the Equation of the following lines:
1)parallel to y=2x-1 and passing through (1, 8)
Answer:
y=2x+6
Step-by-step explanation:
We use this following formula to find the equation:
[tex]y-y_{1} =m(x-x_{1} )[/tex]
Now, we substitute the values in [tex]y_{1}[/tex] and [tex]x_{1}[/tex] :
[tex]y-8=2(x-1)[/tex]
Distribute the 2 inside the parentheses:
[tex]y-8=2x-2[/tex]
Now add 8 to both sides:
[tex]y=2x+6[/tex] is your answer.
Step-by-step explanation:
y=mx+b
m=slope
b=y-intercept
y=2x-1
2=slope
-1=y intercept
NOTE: parallel lines have the same slope
and we put the point (1,8) into y=mx+b with (x,y)
8=1m+b
now we put in 2 for the slope
8=1(2)+b
6=b
2=m
now insert that back into y=mx+b
y=2x+6
and that is the line that is parallel to y=2x-1 and passes through (1,8)
Hope that helps :)
The student council had a cupcake fundraiser. The cupcakes were donated, but the icing, plates and candy were purchased for $50. The
student council sold the cupcakes for $1.50 each.
Which equation shows the relationship between the profit, p, and the number of cupcakes sold, n?
what is 22/25 as a equivalent fraction out of 100
Answer:
hope this helps :)
Step-by-step explanation:
hey guys could yall solve this problem for me? thanks
Answer:
Given ABCD ~ EFGH
FG = BC(EF/AB)
FG = 7(9/6)
FG = 63/6
FG = 10.5
GH = CD(EF/AB)
GH = 11(9/6)
GH = 99/6
GH = 16.5
EH = AD(EF/AB)
EH = 12(9/6)
EH = 108/6
EH = 18
HELPPPP PLSSS I WILL MARK BRAINLYEST
Answer:
B.
Step-by-step explanation:
hope this helps!!
what is the sum complete the equation-5 + (20)
Someone please help!!! will give brainliest!!!
Round your answer to the nearest hundredths, if necessary.
Find the surface area of the figure
Answer:161.56
Step-by-step explanation:
8 x5=40
8 x 7.07=56.56
1/2 x 5 x 5 x 2= 25
8 x 5=40
Add that all together
A town has a population of 14000 and grows at 3% every year. What will be the population after 6 years, to the nearest whole number?
Answer:
Step-by-step explanation:
3x6= 18 then 14000 x 18 = 252,000
write two inequalities to
compare -12 and -6
write two inequalities to compare 8 and -10
Answer:
First one: -12 < -6
-6 > -12
Second one:
-8 > -10
-10 < -8
Step-by-step explanation:
Well you just compare them with greater then or less then signs.
help pls plssssss now
Answer:
i would say B but i dont know
Step-by-step explanation:
Right answer gets brainlist !!
Robert takes out a loan for $7200 at a 4.3% rate for 2 years. What is the loan future value?
Answer: 7,833
Step-by-step explanation:
Graph y = -x^2 – 2. Identify the vertex of the graph. Tell whether it is a minimum or maximum.
Answer:
Maximum, and (0, -2)
Step-by-step explanation:
Please please help I swear I will give you brainlist if it’s right and please explain for part a and part b thank you
Answer:
A. Reduction
B. 2
Step-by-step explanation:
A: A reduction is when the image is getting smaller. The apostrophes show the new, or second, image. It is called "prime." Because the prime is smaller than the original, it is a reduction.
B: Scale factor is when you divide, which number changes it. In other words, the image moved from 4 to 2, from 2 to 1, etc, which means we are DIVIDING by 2.
Mrs. Hall records the height of 50 students in a spreadsheet the mean height is 60 inches after looking at the date again she realize that the two other observations were allies it must’ve been typos 82 and 86 inches she deleted these two observations what is the new mean rounded to the nearest hundredth
Answer:
67. 33 inches
Step-by-step explanation:
[50(68) - 82 - 86] / 48 = 67.33pls pls pls, I beg you to how to put a link I want you to answer this correctly without a link please answer this correctly I beg you
Answer:
1. −51,−41,−38,13,41,50
2. $140 each pair of shoes costs $20 (80 divided by 4). 20 times 7 is 140
3. 5x +6y+1
4. 5+15(n) or using instead of using n for hours use h so, 5+15(h)
5. cylinder
Answer/Step-by-step explanation:
-51, -41, -38, 13, 41, 50
140
5x + 6y + 1
5 + 15h
Cube.
Convert 55% to a fraction in lowest terms.
Help it my last question on this thing
Answer:
11/20
Step-by-step explanation:
55% = 55/100
55/100 = 11/20
Leo deposited $1,472 in an account that earned 2.5% interest compounded annually for 7 years. After 7 years, what was Leo's account balance?
Answer:
257.6
step by step explanation:
1472×2.5×7÷100
2. A bank charges a $10 fee to open an account. Which of the following equations best represents the total amount in the account, m, when starting with d,dollars?
A. m = d + 10
B. m = d -10
C. m –10 = d
D. m + d = 10
PLEASE HELP A.S.A.P
Answer:
B
Step-by-step explanation:
it's b
m= d-10
The equation which best represents the total amount in the account, m, when starting with d dollars is
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given that,
A bank charges a $10 fee to open an account.
Let the account is started with d dollars.
From the amount d, $10 will be taken as an opening fee.
Remaining balance = d - 10
So if m represents the total amount in the account, the,
m = d - 10
Hence the total amount in the account, m, can be represented as m = d - 10, if the account is started with d dollars.
Learn more about Equations here :
https://brainly.com/question/17194269
#SPJ2
When rolling a die why is the probability of rolling a 2 or 3
Answer:
1/3
Step-by-step explanation:
If you're talking about a 6-sided die, then there are 6 sides. Rolling a 2 or a 3 would be a 2/6 chance. To simplify if from there, you can also say that there is a 1/3 chance.
a building brick weighs 2.7 kilograms. work out the weight of 840 bricks. give the answer in tonnes
Answer:
2.268 tons
Step-by-step explanation:
Multiply 840 to 2.7 to figure out the weight of 840 bricks.
840 x 2.7 = 2268 kilograms
Convert 2268 kilograms into tons which will be 2.268 tons.
How did I convert? Divide 2268 by 1000 because 1 ton = 1000 kilograms.
6. Select the coldest temperature from the list below. * O -11°F O 7°F O -4°F O 20°F
Answer:
-11 degrees Fahrenheit.
Step-by-step explanation:
the higher the negative number is, the colder it gets <D