Suppose 49 percent of the customers at Pizza Palooza order a square pizza, 71 percent order a soft drink, and 38 percent order both a square pizza and a soft drink. Is ordering a soft drink independent of ordering a square pizza? a. Yes
b. No

No

Step-by-step explanation:

Given

Required

Are both events independent?

Let P(S) be the probability that a customer orders a square pizza.

Convert to decimal

Let P(D) be the probability that a customer orders a soft drink.

Convert to decimal

From the question, we have that:

For events S and D to be independent:

The following condition must be true

Substitute values for P(S and D), P(S) and P(D)

Complete the blank with

Since both sides are not equal, then the events are not independent.

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is