Suppose that iq scores have a bell-shaped distribution with a mean of 99 and a standard deviation of 14. using the empirical rule, what percentage of iq scores are between 57 and 141?

About 99.7% of the IQ scores would be between 57 and 141.

Step-by-step explanation:  

The Empirical Rule about a bell-shaped curve states that :

Now, we need to find what percentage of IQ scores lies between 57 and 141 : Mean = 99 and standard deviation = 14

141 – 99 = 42

              = 3 × 14

Thus, 141 is 3 standard deviations to the right of the mean.

99 – 57 = 42

              = 3 × 14

Thus, 57 is 3 standard deviations to the left of the mean.

Since 57 to 141 is within 3 standard deviations of the mean, and according to empirical formula stated above : about 99.7% of the IQ scores would be between 57 and 141.

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.