Which function represents a horizontal shift of f(x) = 5x by 4 units to the right?

According to a study done by the Gallup organization, the proportion of Americans who are satisfied with the way things are goin

UkoKoshka [18]

Answer:

21.77% probability that the proportion who are satisfied with the way that things are going in their life exceeds 0.85

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

For proportions p in a sample of size n, we have that $\mu = p, \sigma = \sqrt{\frac{p(1 - p)}{n}}$

In this problem:

$\mu = 0.82, \sigma = \sqrt{\frac{0.82*0.18}{100}} = 0.0394$

In a sample of 100 Americans, what is the probability that the proportion who are satisfied with the way that things are going in their life exceeds 0.85

This is 1 subtracted by the pvalue of Z when X = 0.85. So

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

$Z = \frac{0.85 - 0.82}{0.0384}$

$Z = 0.78$

$Z = 0.78$ has a pvalue of 0.7823

1 - 0.7823 = 0.2177

21.77% probability that the proportion who are satisfied with the way that things are going in their life exceeds 0.85

5 0

2 years ago

Jason is making a fruit salad. He mixes in 3 1/4 cups of orange melon and 2 2/3 cups of green melon. How many cups of melon does

Strike441 [17]

Answer:

5 11/12 cups of melon

Step-by-step explanation:

The cups of melon he puts in the fruit salad is:

Number of cups of orange melon + Number of cups of green melon

= 3 1/4 cups + 2 2/3 cups

3 + 2 + (1/4 + 2/3)

The Least common denominator is 12

5 + (3 × 1 +4 × 2/12)

5 + (3 +8/12)

5 11/12 cups

Therefore, Jason put in 5 11/12 cups of melon in the fruit salad.

7 0

2 years ago

3(n-4)=5n+4 What does n equal?

Angelina_Jolie [31]

Your answer is n=2. thank me if this helped you. :)

7 0

3 years ago

Determine the intercepts of the line. 4x – 1= 3y + 5 x-intercept:(_,_) y-intercept:(_,_)

BARSIC [14]

Answer:

X-intercept: (1.5,0)

y-intercept: (0,-2)

the 1.5 can also be written as 3 over 2 in fraction form.

Hope this helps! :)

4 0

2 years ago

Help with this plz what is the slope and the y intercept

GREYUIT [131]

Https://youtu.be/Qo1_xkv2w_M

4 0

3 years ago

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