Rafiq is makeing a fruit punch using 48 ounces of grape juice abd some seltzer water. He wants to make 10 equal servings that are atleast 9 ounces each. Should he add 32 ounces of seltzer water or 48 ounces of seltzer water

48 ounces of seltzer water

Step-by-step explanation:

From the question, we are told that:

Rafiq is making a fruit punch using 48 ounces of grape juice and some seltzer water.

He wants to make 10 equal servings that are at least 9 ounces each.

The total number of ounces that he want so have is at least

= 10 × 9 ounces = 90 ounces

Should he add 32 ounces of seltzer water or 48 ounces of seltzer water?

Let the number of ounces of seltzer water that he wants to add = x

At least = More than or equal to which is represented by inequality sign = ≥

Hence:

48 ounces of grape juice + x ounces of seltzer water ≥ 90 ounces

48 + x ≥ 90

x ≥ 90 - 48

x ≥ 42 ounces of seltzer water

From this calculation, the least amount of seltzer water he can add is 42 ounces.

Therefore, Rafiq should add 48 ounces of seltzer water

Answer and Step-by-step explanation:

Part A: The fours states in order of population is:

Washington, Virginia, Pennsylvania and Texas

Part B: Z-score is the measure of how many standard deviations a mean is, i.e., how far from the mean a data is. To determine the z-score, use:

in which

x is sample, in this case, each state population mean;

μ is general population mean;

σ is general standard deviation;

Texas has a z-score of 1.52, which means, its population is 1.52 to the right of the general population mean. To determine the mean of Texas population:

i.e.:

x = 12522.22

Texas has a population of 125,22.22 millions.

Pennsylvania has a z-score of -0.15. This means its population is 0.15 to the left of the general population mean. So, population of Pennsylvania is:

x = 128.38

Pennsylvania has a population of 128.38 millions.

Therefore, from the smallest to the largest population:

Washington, Virginia, Pennsylvania and Texas.