Bill had saved $825 from his last 8 paychecks. he saved either 75$ or 150$ a paycheck. for the 8 paychecks, how many times did bill save $75 from his paycheck

Let us assume the number of times Bill saved $75 from his paycheck = x

Let us assume he number of times Bill saved $150 from his paycheck = y

Since he saved 75$ or 150$ for the 8 paychecks.

So, x+y=8

y=8-x (Equation 1)

Since Bill saved $825 from his last 8 paychecks using $75 or $150.

So, 75x+150y=825 (Equation 2)

Substituting the value of 'y' from equation 1 in equation 2,

x = 5

Therefore, Bill saved $75, 5 times from his paycheck.

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answer: 5

step-by-step explanation:

since, the range is the difference between the lowest and highest values of the given sample space.

and, here the sample space = { 3, 1, 0, 4, 1, 4, 2, 3, 0, 5, 0, 1, 1, 2, 0, 4, 1,4, 4 ,2 ,3 ,2 ,0 ,1 ,4 }

here, the highest value of the given sample = 5

and, the lowest value = 0

therefore, the range of the sample space = 5 - 0 = 5