On a test that has a normal distribution, a score of 32 falls three standard deviations below the mean, and a score of 82 falls two standard deviations
above the mean. Determine the mean of this test.

Mean = 62

Step-by-step explanation:

X = mean ± sd

82 = mean + 2(s.d) - - (1)

32 = mean - 3sd ___(2)

82 = mean + 2sd

82 - 32= 2sd + 3sd

50 = 5sd

sd = 50/5

sd = 10

From (2):

32 = mean - 3sd

32 = mean - 3(10)

32 = mean - 30

32 + 30 = mean

62 = mean

x is greater than 5

step-by-step explanation:

2x+7 is greater than 17

    -7                           -7

2x is greater than 10

divide by 2 each side

x is greater than 5

v = 1/3 a^2h

step-by-step explanation:

the volume is 1/3 a^2h.