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N76 [4]
3 years ago
9

The Retail Advertising and Marketing Association would like to estimate the average amount of money that a person spends for Mot

her’s Day with a 99% confidence interval and a margin of error within plus or minus $12. Assuming the standard deviation for spending on Mother’s Day is $36, the required sample size is ________. a.) 60 b.)72 c.)97 d.)108
Mathematics
1 answer:
Lelechka [254]3 years ago
3 0

Answer:

a.) 60

Step-by-step explanation:

Margin of Error formula = z × s/√n

z = z score of confidence interval

We are given z score of 99% = 2.58

s = Standard deviation = $36

Margin of Error= ± 12

n= unknown

= 12 = 2.58 × 36/√n

12 × √n = 92.88

√n = 92.88/12

√n = 7.74

Square both sides

(√n)² = 7.74²

n = 59.9076

Approximately n ≈ 60

Therefore, the required sample size = 60

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How do you simplify (x^2+4x-1)-(x)
nadya68 [22]

Answer:

Step-by-step explanation:

x² + 4x - 1 - x =x² + 4x -x - 1  { bring the like terms together and add}

                     = x² + 3x - 1

6 0
3 years ago
A survey shows that 10% of the population is victimized by property crime each year. A random sample of 527 older citizens (65 y
jekas [21]

Answer:

The data provide sufficient evidence that older people are more likely to be victimized.

Step-by-step explanation:

H 0 : P = 0.10

H 1 : P > 0.10 (Right tailed test)

n = 527, P = 0.1235

The test statistics

x = P - p / \sqrt{p*(1-p) / n}

x = 0.1235 - 0.10 / \sqrt{0.10 * 0.90 / 527}

x = 0.0235 / \sqrt{0.09 / 527}

x = 0.0235 / \sqrt{0.00017077798}

x = 0.0235 / 0.0130682049264618

x = 1.798257689731729

x = 1.798

P value = [1 - p(Z > 1.7980] (Right tailed test)

P value = 0.036089

The P - Value is very small, so <u>reject H0</u>

Conclusion: The data provide sufficient evidence that older people are more likely to be victimized.

7 0
3 years ago
Write the expression only using positive exponents: <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B8x%20%5E%7B3%7D%20%7D%7B2
ladessa [460]
Your answer would be 4 over x to the sixth which would look like this

4
_
x^6


the ^ symbol means it’s an exponent
5 0
3 years ago
Correct Answer Will get Brainliest
Tanya [424]

Answer:48.6

we know that

You can paint 75 square feet of a surface every 45 minutes

so

using proportion  

Find out how long it takes you to paint a surface area of 81 square feet

45(81)/75=48.6

hope this helped and I hope you get a correct answer :D

5 0
3 years ago
Read 2 more answers
Work out m and c for the line: y=3x
Tpy6a [65]

Answer:

m = 3, c = 0

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x , or y = 3x + 0 ← is in slope- intercept form

with m = 3 and c = 0

4 0
3 years ago
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