Identify the slope, or rate of change, and describe it in terms of the problem. A contractor charges an initial fee of $50 and then $225 for every three days of work it takes to complete the project. Identify the rate of change and describe it in terms of the problem.

$75

Step-by-step explanation:

Given,

Initial fee / charge = $50

Charge per 3 days of work = $225

The rate of change is the slope which is the change in amount charged per day;

HENCE, we need to calculate the charge per day on other to find the rate of change :

If $225 is charged for 3 days

Amount charged per day is ;

$225 / 3

= $75 is charged per everyday of work it takes to complete the project

0.0150 = 1.50% of women satisfy that height requirement.

Step-by-step explanation:

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

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

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.

In this problem, we have that:

Find the percentage of women who satisfy that height requirement.

This is 1 subtracted by the pvalue of Z when X = 70. So

has a pvalue of 0.9850

1 - 0.9850 = 0.0150

0.0150 = 1.50% of women who satisfy that height requirement.