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alexdok [17]
3 years ago
10

The University of Central Florida's cheerleading team has eighteen males and twenty-one females. If h represents the height of a

team member, the inequality 260 ≤ 4h + 28 < 324 , represents the range of heights of the cheerleaders, in inches. Select all possible heights for the University of Central Florida's cheerleaders.
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
3 0

Answer:

The range of heights of the cheerleaders is the interval [58, 74)

All real numbers greater than or equal to 58 inches and less than 74 inches

Step-by-step explanation:

we have

260 \leq 4h+28

Divide the compound inequality into two inequalities

260 \leq 4h+28 -----> inequality A

4h+28 -----> inequality B

Solve inequality A

260 \leq 4h+28

Subtract 28 both sides

232 \leq 4h

Divide by 4 both sides

58 \leq h

Rewrite

h \geq 58\ in

Solve the inequality B

4h+28

Subtract 28 both sides

4h

Divide by 4 both sides

h

therefore

The range of heights of the cheerleaders is the interval [58, 74)

All real numbers greater than or equal to 58 inches and less than 74 inches

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Step-by-step explanation:

a.

mean = 266

sd = 14

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with sample size = 44

x-lower = 265-1x16/√44 = 262.59

x-upper = 265+1x16/√44 = 267.41

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