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%
Answer: -6x² + 15x + 5
Step-by-step explanation:
To solve this problem, you only need to substitute g(x)'s equation as the value of the x in f(x), then simplify.
Step 1: f(x) = -3(2x² - 5x - 1) + 2
Step 2: Apply the distributive property
-3(2x²) + -3(-5x) + -3(-1)
-6x² + 15x + 3
Step 3: Simplify
f(x) = -6x² + 15x + 3 + 2
f(x) = -6x² + 15x + 5
Answer:
64 : 27
Step-by-step explanation:
Given 2 similar figures with
ratio of lengths = a : b, then
ratio of volumes = a³ : b³
For 2 cylinders with ratio of lengths = 4 : 3, then
ratio of volumes = 4³ : 3³ = 64 : 27
<h3>
Answer: B. 62 degrees fahrenheit</h3>
====================================================
Explanation:
x = elevation in feet
y = temperature in fahrenheit
The temperature goes up 1/10 = 0.1 degrees for every 100-foot increase of elevation. So the slope is 0.1/100 = 0.001, which tells us how fast the temperature is increasing. In other words, the temperature goes up 0.001 degrees each time the elevation goes up by 1 foot.
The ground temperature is 60 degrees, which is our starting temperature. It's the value of y when x = 0. Therefore, 60 is the y intercept.
We have a slope of m = 0.001 and a y intercept of b = 60. The equation y = mx+b becomes y = 0.1x+60
Now plug in x = 2000 to find the temperature at this elevation
y = 0.001x+60
y = 0.001*2000+60
y = 2+60
y = 62
