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Stella [2.4K]
3 years ago
13

A controversial bill is being debated in the state legislature. Representative Williams wants to estimate within 5 percentage po

ints and with 95% confidence the difference in the proportion of her male and female constituents who favor the bill. What sample size should she obtain?
PLEASE SHOW YOUR WORK!
Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
3 0

Answer:

768

Step-by-step explanation:

Given that:

Error margin (E) = 5% = 0.05

Confidence level = 95%

Proportion p = 0.5 (since no prior value is given) ; also n1 = n2 = sample size

n = (Z / E)^2 * (1 - p)

1 - p = 1 - 0.5 = 0.5

Zscore at 95% confidence = 1.96

n = (1.96 / 0.05)^2 * 0.5

n = 39.2^2 * 0.5

n = 1536.64 * 0.5

n = 768.32

Hence, sample size = 768 SAMPLES

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The sum of 2 numbers is 65 and the difference is 7
Dahasolnce [82]

Answer:

Hello There!!

Step-by-step explanation:

The answer is=>The sum is x + y = 65

The difference is x - y = 7 .....x = 7 + y

7 + y + y = 65

7 + 2y = 65

2y = 58

y = 29

x + y = 65

x + 29 = 65

X = 36

The Sum: 36 + 29 = 65

The Difference: 36 - 29 = 7

hope this helps,have a great day!!

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3 0
3 years ago
Read 2 more answers
Which of the following is not a polynomial identity?
olga_2 [115]

Answer:

Option B

Step-by-step explanation:

Option A

a² - b² = (a+ b)(a - b)

It's a polynomial identity.

Option B

a³ + b³ = (a - b)(a² - ab + b²)

It's not a polynomial identity.

Because the identity is,

a³ + b³ = (a + b)(a² - ab + b²)

Option C

a³ - b³ = (a - b)(a² + ab + b²)

It's a polynomial identity.

Option D

(a²+ b²)(c² + d²) = (ac - bd)² + (ad + bc)²

                         = a²c² - 2abcd + b²d² + a²d² + b²c² + 2abcd

                         = a²c² + b²c² + b²d² + a²d²

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Option B will be the answer.

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3 years ago
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Answer:

x=-20

Step-by-step explanation:

x-10=-30

x-10+10=-30+10

x=-20

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Answer:

A

Step-by-step explanation:

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