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ohaa [14]
2 years ago
14

Worker A can finish a job in

Mathematics
1 answer:
Oksi-84 [34.3K]2 years ago
8 0

Answer:

4

Step-by-step explanation:

\frac{1}{2}  -  \frac{1}{3} \\  \\  =  \frac{1}{6}  \times 24 \\  = 4

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A CBS News/New York Times opinion poll asked 1,190 adults whether they would prefer balancing the federal budget over cutting ta
nikklg [1K]

Using the <u>normal distribution and the central limit theorem</u>, it is found that there is a 0.0166 = 1.66% probability of a sample proportion of 0.59 or less.

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.  
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sampling proportions of a proportion p in a sample of size n has mean \mu = p and standard error s = \sqrt{\frac{p(1 - p)}{n}}

In this problem:

  • 1,190 adults were asked, hence n = 1190
  • In fact 62% of all adults favor balancing the budget over cutting taxes, hence p = 0.62.

The mean and the standard error are given by:

\mu = p = 0.62

s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.62(0.38)}{1190}} = 0.0141

The probability of a sample proportion of 0.59 or less is the <u>p-value of Z when X = 0.59</u>, hence:

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{0.59 - 0.62}{0.0141}

Z = -2.13

Z = -2.13 has a p-value of 0.0166.

0.0166 = 1.66% probability of a sample proportion of 0.59 or less.

You can learn more about the <u>normal distribution and the central limit theorem</u> at brainly.com/question/24663213

7 0
2 years ago
Melissa has 350 in her savings account. she decides that she will put the same amount of money each month into her account.Her g
Ray Of Light [21]
C = 350+xm 
mc=350+x 
m = (350+x)/c
7 0
3 years ago
Write 19.4 in expanded form
Natali5045456 [20]
The answer is 10+9+0.4
6 0
2 years ago
The vertex form of the function <br> y=x^2+8x+29
stira [4]

Answer:

y = (x+4)^2 +13

Step-by-step explanation:

y=x^2+8x+29

To complete the square take  the coefficient of the x term

8

Divide by 2

8/2 =4

Then square it

4^2 =16

y=x^2+8x+16+13

 = (x^2+8x+16)  +13

 = (x+4)^2 +13

5 0
2 years ago
Jill has to go to the post office before she drops her 3 children off at the elementary school. She is going straight home after
Fantom [35]

Answer:

D i think

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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