Robert has three jobs. He worked at young's grocery and earned $5,804. He was a waiter at the A & B restaurant and earned $12,445. He also earned $12,445. He also earned $56,002 working for a CCD communications. Each employee took out 6.2% for social security. How much did robert pay in social security?

Robert had to pay $ 4,603.53 to social security.

Step-by-step explanation:

To determine the amount Robert paid to social security, knowing that he has three jobs, one at young's grocery where he earned $ 5,804, another as a waiter at the A & B restaurant where he earned $ 12,445, and another where he earned $ 56,002 working for a CCD communications, and also knowing that you pay 6.2% of your income to social security, the following calculation must be performed:

(5,804 + 12,445 + 56,002) x 0.062 = X

74,251 x 0.062 = X

4,603.53 = X

Thus, Robert had to pay $ 4,603.53 to social security.

0.8185 or 81.85%

Step-by-step explanation:

The mean length (μ) of an adult foot is 11 and the standard deviation (σ) is 1.5.

The z score is a measure in statistic used to determine the amount of standard deviation by which the raw score (x) is above or below the mean. If the raw score is above the mean, the z score is positive  and if the raw score is below the mean the z sore is negative. It is given by:

To calculate the probability that a randomly selected male will have a foot length between 8 and 12.5 inches, we first calculate the z score for 8 inches and then for 12.5 inches.

For 8 inches:

For 12.5 inches:

From the normal distribution table, The probability that a randomly selected male will have a foot length between 8 and 12.5 inches = P(8 < x < 12.5) = P(-2 < z < 1) = P(z < 1)  - P(z < -2) = 0.8413 - 0.0228 = 0.8185 = 81.85%