Write a linear function f with the values f(10)=5 and f(2)=-3

The linear function with the values and is .

Step-by-step explanation:

Given information:

The values of a liner function

and

So, we can write the slope as:

On, putting the values:

Point (10,5)

Now ,substitute the values in the linear equation:

where, m is the slope.

Now put the values to get the required linear function.

So, the linear function with the values   and will be

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Step-by-step explanation:

step 1

Find the slope m

The formula to calculate the slope between two points is equal to

we have the ordered pairs

(10,5) and (2,-3)

substitute the values

step 2

Find the equation of the line in slope intercept form

we have

substitute and solve for b

The linear function is equal to

step-by-step explanation:

cats

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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