The answer is C
the mean is the average which is solved by adding up all of the numbers and then dividing that by how many numbers there are, 45/5 = 9
42.5% of what = 20.57
<span>42.5% of x = 20.57
</span>
(42.5/100)*x = 20.57
42.5x / 100 = 20.57
x = 20.57 * 100 / 42.5
x = 48.4
Therefore 42.5% of 48.4 is 20.57.
Answer:
6
Step-by-step explanation:
I did .75 x 5 to get 75% of the road. I then converted the amount into kilometers using a reliable converter. I got 6 kilometers then.
Answer:
21.94% of people aged 20 to 34 have IQs between 125 and 150.
Step-by-step explanation:
<u>The complete question is:</u> Scores on the Wechsler Adult Intelligence Scale (a standard IQ test) for the 20 to 34 age group are approximately Normally distributed with μ = 110 and σ = 25.
What percent of people aged 20 to 34 have IQs between 125 and 150?
Let X = <u><em>Scores on the standard IQ test for the 20 to 34 age group</em></u>
SO, X ~ Normal(
)
The z-score probability distribution for the normal distribution is given by;
Z =
~ N(0,1)
where,
= population mean = 110
= standard deviation = 25
Now, the percent of people aged 20 to 34 have IQs between 125 and 150 is given by = P(125 < X < 150) = P(X < 150) - P(X
125)
P(X < 150) = P(
<
) = P(Z < 1.60) = 0.9452
P(X
125) = P(
) = P(Z
0.60) = 0.7258
The above probability is calculated by looking at the value of x = 1.60 and x = 0.60 which has an area of 0.9452 and 0.7258.
Therefore, P(125 < X < 150) = 0.9452 - 0.7258 = 0.2194 or 21.94%