Can someone help me out im in a test right now.

x = 28

Step-by-step explanation:

124 is the double of 2x + 6, so you would have to double 2x + 6 to make it equal to 124.

2(2x + 6) = 124

Then it would be 4x + 12 = 124

Subtract 12 from both sides, leaving the equation be 4x = 112

Divide boths sides by 4, which leaves you with x = 28

x = 28

Step-by-step explanation:

2(2x + 6) = 124

4x + 12 = 124

4x = 112

x = 28

0.3557

Step-by-step explanation:

Complete Question:

The United States Department of Agriculture (USDA) found that the proportion of young adults ages 20–39 who regularly skip eating breakfast is 0.238 . Suppose that Lance, a nutritionist, surveys the dietary habits of a random sample of size n = 500 of young adults ages 20–39 in the United States.

Apply the central limit theorem for the binomial distribution to find the probability that the number of individuals in Lance's sample who regularly skip breakfast is greater than 122.

Solution:

This is a case where we will use Normal Approximation to Binomial Distribution.

Let X be random variable. So we know:

X ~ Bin (n,p)

Then, Normal Approximation would be:

X ~ Normal Approx (np, npq)

Given in the problem, sample n = 500 and probability of skipping, p = 0.238, so:

X ~ (500, 0.238)

Note: q = 1 - p = 1 - 0.238 = 0.762

Thus,

X ~ Normal Approx (119, 90.678)

Now,

We need P(X > 122).

We convert to Z by using formula:

Where is the mean, or "np" and is the standard deviation, which is

THus, we have:

Which can be said as:

1 - P(Z<0.37)

Using Z-Table (normal table), we have:

THis is our answer.