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The scores of an eighth-grade math test have a normal distribution with a mean mu is equal to 83 and a standard deviation sigma is equal to 5 If Din’s test score was 92 , which expression would she write to find the z -score of her test score?

A
z is equal to the fraction with numerator 83 minus 92 and denominator 5
B
z is equal to the fraction with numerator 5 minus 83 and denominator 92
C
z is equal to the fraction with numerator 92 minus 83 and denominator 83
D
z is equal to the fraction with numerator 92 minus 83 and denominator 5
22
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Given the function f of x is equal to 3 start absolute value x minus 2 end absolute value plus 6 , for what values of x is f of x is equal to 18 ?

A
x is equal to negative 2 , x is equal to negative 6
B
x is equal to negative 2 , x is equal to negative 8
C
x is equal to negative 2 , x is equal to 8
D
x is equal to negative 2 , x is equal to 6
23

Which of the following probabilities is the greatest for a standard normal distribution?

A
cap p times open paren negative 0 point 5 is less than or equal to z comma z is less than or equal to 0 point 5 close paren
B
cap p times open paren 1 point 5 is less than or equal to z comma z is less than or equal to 2 point 5 close paren
C
cap p times open paren 0 point 5 is less than or equal to z comma z is less than or equal to 1 point 5 close paren
D
cap p times open paren negative 1 point 5 is less than or equal to z comma z is less than or equal to negative 0 point 5 close paren
24

What is the solution to the equation square root of 8 x is equal to square root of 4 plus 2 x end root ?

A
x is equal to 2 fifths
B
x is equal to 40
C
x is equal to 24
D
x is equal to 2 thirds
25

What is the solution to 4 plus 5 e raised to the x plus 2 power is equal to 11 ?

A
x is equal to natural log 7 fifths plus 2
B
x is equal to natural log 7 fifths minus 2
C
x is equal to natural log 35 plus 2
D
x is equal to natural log 35 minus 2
28

Myra uses an inverse variation function to model the data for the ordered pairs. open paren 2 comma 30 close paren , open paren 3 comma 20 close paren , open paren 4 comma 15 close paren , open paren 5 comma 12 close paren , open paren 6 comma 10 close paren Which statement best explains whether an inverse variation function is the best model for the data?

A
An inverse variation function is not the best model because data points approximate a straight line.
B
An inverse function is the best model because the products of corresponding x - and y -values are equal.
C
An inverse function is the best model because as x increases, y decreases.
D
An inverse variation function is not the best model because the data points show an exponential decay.
29

What is the solution of square root of negative 4 x end root is equal to 100 ?

A
x is equal to negative 2500
B
x is equal to negative 50
C
x is equal to negative 2 point 5
D
no solution
31

What are the domain and range of f of x is equal to start absolute value x plus 6 end absolute value ?

A
domain: x is greater than or equal to negative 6 ; range: open paren negative infinity comma infinity close paren
B
domain: open paren negative infinity comma infinity close paren ; range: f of x is greater than or equal to 0
C
domain: x is less than or equal to negative 6 ; range: open paren negative infinity comma infinity close paren
D
domain: open paren negative infinity comma infinity close paren ; range: f of x is less than or equal to 0
32

Which expression is equivalent to 4th root of the fraction with numerator 16 x to the 11th power y to the 8th power and denominator 81 x to the 7th power y to the 6th power ? Assume x is greater than 0 and y is not equal to 0

A
the fraction with numerator 4 x open paren 4th root of y squared close paren and denominator 9
B
the fraction with numerator 2 x squared y and denominator 3
C
the fraction with numerator 2 x open paren 4th root of y squared close paren and denominator 3
D
the fraction with numerator 4 x squared y and denominator 9
39

Which expression is equivalent to open paren 2 raised to the 1 half power times 2 raised to the 3 fourths power close paren squared ?

A
4th root of 4 cubed
B
square root of 2 to the 5th power end root
C
square root of 4 to the 5th power end root
D
4th root of 2 cubed
40

What is the true solution to natural log 20 plus natural log 5 is equal to 2 ln x ?

A
x is equal to 50
B
x is equal to 5
C
x is equal to 100
D
x is equal to 10

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