Mathematics, 11.10.2019 07:20 linnybear300

Which linear function represents the line given by the point-slope equation y-8= 1/2(x-4)

Answers: 3

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Answer from: Ashthegreat

$y=\frac{1}{2}x+6$

Step-by-step explanation:

we know that

the equation of the line into point slope form is equal to

y-y1=m(x-x1)

In this problem we have

$y-8=\frac{1}{2}(x-4)$

The linear function represent a line that

the slope is equal to $m=\frac{1}{2}$

and passes through the point (4,8)

Simplify

$y=\frac{1}{2}x-2+8$

$y=\frac{1}{2}x+6$ ------> equation of the line in slope-intercept form

Answer from: Quest

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step-by-step explanation:

Answer from: Quest

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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