1/4(8/1-12x)+7(x+9). plz answer I'm failing and need to. get grades up

Which number(s) below belong to the solution set of the equation? Check all that apply . x + 50 = 60

nataly862011 [7]

Answer:

x + 50 = 60

x = 60 - 50

× = 10

this is the answer . It just calculation.

5 0

3 years ago

Brook drove a total of 180 miles in 3 hours. Diederick drove a total of 160 miles in 4 hours.

ArbitrLikvidat [17]

Actually, DIEDERICK drove faster than BROOK. What you can do to find out the answer, is divide. Brook drove 180 miles in 3 hours, so divide 180 by 3, and you get 60. If you divide 160 by 4, you get 40. So, that means that Diederick drove faster than Brook.

8 0

4 years ago

. The time required for a technician to machine a specific component is normally distributed with a mean of 2 hours and a standa

erma4kov [3.2K]

Answer:

a) There is a 3.84% probability that the technician can machine one component in 1.5 hours or less.

b) There is a 0.42% probability that the technician will require at least 2.75 hours to complete one component

Step-by-step explanation:

Problems of normally distributed samples can be 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

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

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.

In this problem, we have to be careful. The mean is in hours, while the standard deviation is in minutes. I am going to work with both in hours, as the problem states. 17 minutes is 0.283 hours, so:

$\mu = 2, \sigma = 0.283$

(a.) What is the probability that the technician can machine one component in 1.5 hours or less?

This probability is the pvalue of the Zscore when $X = 1.5$ . So:

$Z = \frac{1.5 - 2}{0.283}$

$Z = \frac{-0.5}{0.283}$

$Z = -1.77$

$Z = -1.77$ has a pvalue of 0.0384.

This means that there is a 3.84% probability that the technician can machine one component in 1.5 hours or less.

(b.) What is the probability that the technician will require at least 2.75 hours to complete one component?

The pvalue of the score of $X = 2.75$ is the probability that the technican will require less than 2.75 hours to complete one component. The probability that he will require at least 2.75 hours to complete one component is 1 subtracted by this pvalue. So: