Answer:
a)
[tex]n = (\frac{z\sqrt{0.16*0.84}}{0.03})^2[/tex], in which z is related to the confidence level.
b) A sample size of 991 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In 16% of all homes with a stay-at-home parent, the father is the stay-at-home parent
This means that [tex]\pi = 0.16[/tex]
a. What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.03 (round up to the next whole number).
This is n for which [tex]M = 0.03[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = z\sqrt{\frac{0.16*0.84}{n}}[/tex]
[tex]0.03\sqrt{n} = z\sqrt{0.16*0.84}[/tex]
[tex]\sqrt{n} = \frac{z\sqrt{0.16*0.84}}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{z\sqrt{0.16*0.84}}{0.03})^2[/tex]
[tex]n = (\frac{z\sqrt{0.16*0.84}}{0.03})^2[/tex], in which z is related to the confidence level.
Question b:
99% confidence level,
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
[tex]n = (\frac{z\sqrt{0.16*0.84}}{0.03})^2[/tex]
[tex]n = (\frac{2.575\sqrt{0.16*0.84}}{0.03})^2[/tex]
[tex]n = 990.2[/tex]
Rounding up
A sample size of 991 is needed.
What are the solutions of x^2-12x+27
Answer:
it will be (x-9)(x-3)
Step-by-step explanation:
hope this helped
find the product and sum of the equation which will be 27 and -12 respectively
then we find common factors -3 and -9
we substitute
finally our anwers will be x+9 and x-3
Maury and his mom painted the rectangular wall in Maury room Maury painted 1/6 of the wall and his mom painted 1/4 of the wall How much of the wall is still left to paint
Answer: 7/12
Step-by-step explanation:
1- 1/6 - 1/4
5/6 - 1/4
10/12 - 3/12
7/12 left
6.39 ÷ 0.09 ≅ _____
No Downloads or Files
I Need An Answer please
71
that's all there is to it
Answer: 71
Step-by-step explanation: 6.39 /0.09
71
Help fjdhddjdhdhhdhdhdufh
M=-3/2(-5,1) standard form
Not sure............but i think it is 8x-1y= -11
Pueden ayudarme pliiis
Un niño lanza una piedra hacia abajo con velocidad inicial vy = -2 m/s, desde una
altura de 25 m.
a. ¿cuánto tiempo demora la piedra en llegar al suelo?
b. Determina la velocidad para ese tiempo.
c. Realiza las gráficas de posición, velocidad y aceleración para el desplazamiento
de la piedra mientras está en movimiento.
Answer:\b
Step-by-step explanation:
1. There are 180 girls in the sophomore class of 300.
a. what is the ratio of girls to boys?
b. what is the ratio of girls to total students?
Answer:
girls to boys: 3:2
girls to students: 3:5
Step-by-step explanation:
180:120 can be simplified by dividing both by 6 (GCF)
180:300 can be simplified by dividing both by 6 (GCF)
Answer: 1) 180:120 2) 180:300
Step-by-step explanation: so girls to boys there is 180 girls so to find the boys you do 300-180 because there’s only males and females in the school so if they give you the number of females the rest are males. And because they gave you the girls and the total students it’s just 180:300
Sarah and Nathan each picked a bucket of strawberries. Sarah picked 4 pounds, and Nathan picked 3 pounds. How much more did Sarah pick than Nathan?
1 pounds
2 pounds
pound
1 pound
Answer:1 pound
Step-by-step explanation:
Directly you see from Qestion Sarah picked 4 pounds and Nathan 3...for difference 4-3=1
Answer:
A: 1 pound
Step-by-step explanation:
4lbs -- 3lbs = 1lbs
Lena won a charity raffle. Her prize will be randomly selected from the 9 prizes shown below. The prizes include 7 rings, 1 camera, and 1 headset.
(a) Find the odd against Lena winning a headset.
(b) Find the odds in favor of Lena winning a headset
Answer:
(b) Find the odds in favor of Lena winning a headset
Step-by-step explanation:
Daniel has 250 songs on his MP3 player.
Ninety-five of the songs are by the same singer.
What percent of Daniel's songs are by that one
singer??
A. 26%
B. 38%
C. 62%
D. 83%
Suppose that Stephen is the quality control supervisor for a food distribution company. A shipment containing many thousands of apples has just arrived. Unknown to Stephen, 13% of the apples are damaged due to bruising, worms, or other defects. If Stephen samples 10 apples from the shipment, use the binomial distribution to estimate the probability that his sample will contain at least one damaged apple. Select the true statement.
A. Stephen can use a sample of size 10 to reliably determine if the truck load contains damaged apples.
B. Stephen could use a sample of size less than 10 to reliably determine if the truck load contains damaged apples.
C. Stephen could have used a normal approximation to determine this probability.
D. A sample of size 10 is too small to reliably determine if the truck load contains damaged apples.
E. Stephen should sample with replacement so that the probability is exactly binomial.
Answer:
D. A sample of size 10 is too small to reliably determine if the truck load contains damaged apples.
Step-by-step explanation:
We have probability of having damaged apple = 13%
= 13/100
= 0.13
Sample size n = 10
Using the binomial distribution
P(X=x) = nCx * P^x(1-P)^n-x
Probability sample will have at least one damaged apple
= P(X>=1) = 1-p(x<1)
= 1 - P(X=0)
= 1-(10C0 *P⁰(1-0.13)¹⁰
= 1 - 1(1-0.13)¹⁰
= 1 - 0.87¹⁰
= 1 - 0.2484
= 0.7516
The answer is option D. A sample of size 10 is too small to reliably determine if the truck load contains damaged apples.
how do you write 76% as a fraction
Answer:
76/100 or simplified into 19/25
Answer:
Step-by-step explanation:
76/100
Simplify 45/63 show work plz
X-9/7x+2<_0 which graph shows the solution set of
Answer:
3. The third option is correct.
Step-by-step explanation
I need help on this cans someone help me plsssss
Answer:
Step-by-step explanation:
Answer:
I have answerd now you can mark him brainliest :D
Step-by-step explanation:
If a=1/x+1/y, what is the value of 1/a
Answer:
1/a = xy/(y-x)
Step-by-step explanation:
Simplify the reciprocal:
1/a = 1/(1/x -1/y) = 1/((y-x)/(xy))
1/a = xy/(y-x)
AAAAAAA HELP ME PLZZZZ
Answer:
12 i believe
Step-by-step explanation:
volume; LxWxH
3x2x2
3x2=6
6x2=12
sorry if this is wrong lol but this is what i believe it is
there are 72 students in pe.12 students well be in a team.how many teams can be formed
Answer:
6 teams
Step-by-step explanation:
72/12 = 6
12+x=46
what is the answer to x?
Answer:
x=34
Step-by-step explanation:
Which function is shown in the graph below?
y= 22-2 + 3
y = 2X+2+3
y = 2X-3+2 Y=2^x+3+2
Answer:
B 2^x+2 +3
Step-by-step explanation:
hope this helps :)
The function that matches the graph and the given points (7, 0) and (-8, 5) is: y = 2X + 2 + 3. (option b)
This function seems to have a typo, as it simplifies to y = 23, which is a constant value and does not depend on the variable x. This means the graph would be a horizontal line at y = 23 and would not pass through the points (7, 0) and (-8, 5).
y = 2X + 2 + 3
This function can be simplified to y = 2X + 5. Evaluating the points (7, 0) and (-8, 5) in this function:
For (7, 0):
y = 2 * 7 + 5
y = 14 + 5
y = 19
For (-8, 5):
y = 2 * (-8) + 5
y = -16 + 5
y = -11
y = 2X - 3 + 2 Y = 2ˣ + 3 + 2:
It seems there is a typo in this option with "Y" being capitalized. Assuming it is meant to be y, we have two separate functions:
a. y = 2X - 3 + 2
b. y = 2ˣ + 3 + 2
a. For y = 2X - 3 + 2:
Evaluating the points (7, 0) and (-8, 5):
For (7, 0):
y = 2 * 7 - 3 + 2
y = 14 - 3 + 2
y = 13
For (-8, 5):
y = 2 * (-8) - 3 + 2
y = -16 - 3 + 2
y = -17
b. For y = 2ˣ + 3 + 2:
Evaluating the points (7, 0) and (-8, 5):
For (7, 0):
y = 2⁷ + 3 + 2
y = 128 + 3 + 2
y = 133
For (-8, 5):
y = 2⁻⁸ + 3 + 2
y ≈ 0.004 + 3 + 2
y ≈ 5.004
To know more about function here
https://brainly.com/question/28193995
#SPJ2
In which quadrant would point (-4.5, -4.5) be located
xy=80 solve log x- log y=1
Question: Solve for x and y in the equation.
xy=80 and log x - 2 log y =1
Answer:
x = 40, y = 2
Step-by-step explanation:
xy = 80.......................... Equation 1
logx-2logy = 1
logx-logy² = 1
Applying the laws of logarithm,
log(x/y²) = log10
x/y² = 10
x = 10y²......................... Equation 2
Substitute the value of x in therms of y equation 2 into equation 1
10y²(y) = 80
10y³ = 80
y³ = 8
y = [tex]\sqrt[3]{8}[/tex]
y = 2.
Substitute the value of y into equation 1
2x = 80
x = 80/2
x = 40
Therefore,
x = 40, y = 2
Lines AC and BD intersect at O as shown.
What is the measure of
Answer:
X=4
Step-by-step explanation:
25x + 25x = 50
20 + 20 = 40
50 + 40 = 90
90x = 360
X = 4
what name of triangle name is when they only have two side the same lenght
It's name is “isosceles triangle”
Find the value of SU
Answer:
A
Step-by-step explanation:
yw
Which are values of dimes and nickels?
Stella works for a company that makes aluminum cans. A large soup can have a radius of 8 centimeters and a height of 20 centimeters. How much aluminum is used to make the can?
please help!!!!! Its timed !!!!! Ill give out most brainly and extra points !!!
Answer:
A)15Step-by-step explanation:
to understand thisyou need to know about:equationPEMDASlet's solve:parimeter of a square:4a
according to the question
[tex] \sf 4(8x + 2) = 488[/tex]
divide both sides by 4:
[tex] \sf \frac{4(8x + 2) }{2}= \frac{488}{2} \\ \sf \frac{ \cancel4 ^{} (8x + 2)}{ \cancel{4}} = \frac{ \cancel{488} \: ^{122} }{ \cancel{ \: 2}} \\ 8x + 2 = 122[/tex]
cancel 2 from both sides:
[tex] \sf 8x + 2 - 2 = 122 - 2 \\ \sf 8x = 120[/tex]
divide both sides by 8
[tex] \sf\frac{8x}{8} = \frac{120}{8} \\ \sf \therefore \: x = 15[/tex]
Margo can purchase tile at a store for $0.59 per tile and rent a tile saw for $49. At another store she can borrow the tile saw for free if she buys tiles there for $1.29 per tile. How many tiles must she buy for the cost to be the same at both stores?
Margo must buy
tiles for the cost to be the same at both stores.
Answer:
Also need help
Five cards (a hand) are dealt from a randomly shuffled deck of cards. For those of you that are not familiar with playing cards: each card has a suit (hearts, spades, diamonds, clubs) and a symbol (aces, kings, queens, etc.). The deck contains a total of 52 cards, with 13 of each suit and 4 of each symbol. What is the probability that the hand contains a) all spades
Answer: 0.0004951
Step-by-step explanation:
Given
Five cards are from the deck
The total number of cards in the deck is 52
total spades card is [tex]13[/tex]
We have to choose 5 cards out of 13, this can be done in
[tex]\Rightarrow ^{13}C_5[/tex]
The probability of choosing 5 spade cards is
[tex]\Rightarrow P=\dfrac{^{13}C_5}{^{52}C_5}\\\\\Rightarrow P=\dfrac{1287}{2598960}=0.0004951[/tex]