Suppose you have a 42 inch TV that is 57 centimeters tall by 96 CM wide. You want to upgrade to the 60inch version of that TV. The height and width are 42in and 60 in. If you know the width of the 60 inch TV is 137 cm what is the height?

The height is 67 cm

Step-by-step explanation:

Remember that

we know that

The size of a TV is measured by its diagonal

Convert 60 inches to centimeters

Applying the Pythagorean Theorem

where

D is the diagonal

H is the height

W is the width

we have

substitute

solve for H

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)