Complete the inequality. 11 gal ___ 28 qt > < =

Kylie is comparing the cost of two housekeeping companies, DoItRight and CleanIt. The table describes the costs for DoItRight.

abruzzese [7]

Answer:

First, find the cost function of DoItRight Housekeeping:

Slope(m) = cost per hour = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{44-26}{3-1.5}=\frac{18}{1.5}=12$

The y-intercept(b), representing the initial cost, can be calculated by substituting in values to the function:

$f(x)=12x+b\\26=12(1.5)+b\\b=26-18=8$

Therefore, the function for two companies are:

The function for DoItRight is $f(x)=12x+8$
The function for CleanIt is $g(x)=10x+16$

When comparing the two functions, it's shown how CleanIt has a greater y-intercept than DoltRight, meaning that CleanIt has a greater initial cost than DotRight. The y-intercept is when the graph intercepts the y-axis, therefore, the coordinates there would be (0, y-value), which, in this case for CleanIt company, will be (0, 16). While CleanIt has a greater y-intercept(initial cost), DoItRight has a greater slope, meaning they cost more per hour.

7 0

3 years ago

A basketball player has made 6060% of his foul shots during the season. Assume the shots are independent.

motikmotik

Answer:

a) 2.5 shots

b) 59.4 shots

c) 4.87 shots

Step-by-step explanation:

Probability of making the shot = 0.6

Probability of missing the shot = 0.4

a) The expected number of shots until the player misses is given by: