Probability that a randomly selected adult has an IQ less than 137 is 0.9452
<u>Step-by-step explanation:</u>
<u>Step 1: </u>
Sketch the curve.
The probability that X<137 is equal to the blue area under the curve.
<u>Step 2:
</u>
Since μ=105 and σ=20 we have:
P ( X<137 )=P ( X−μ<137−105 )= P(X−μ/ σ< 137−105/20 )
Since x−μ/σ=Z and 137−105/20=1.6 we have:
P (X<137)=P (Z<1.6)
<u>Step 3: </u>
Use the standard normal table to conclude that:
P (Z<1.6)=0.9452
∴ probability that a randomly selected adult has an IQ less than 137 is 0.9452.
Inflation Rate= CPI2-CPI1/CP1 x 100
Answer:
x=2
Step-by-step explanation:
To solve, we need to isolate the variable, x
5x-18=2(3x-12) +4
Distribute the 2
5x-18=2*3x + 2*-12 +4
5x-18=6x-24+4
Combine like terms (add -24 and 4)
5x-18=6x-20
Add 18 to both sides
5x=6x-2
Subtract 6x from both sides
-x=-2
Divide both sides by -1
x=2
<h2>D. If subjects knew they were receiving an active treatment, researchers would not have known if any improvement was due to the new medication or to the expectation of <u>feeling </u>better. If the researchers knew which subjects received which treatments, they might have treated one group of subjects differently from the other group.</h2><h2 />
For your question... the answer would be D
Let the length of the playground be x, then the width is 6 + x.
Area = length * width = x * (6 + x) = 6x + x^2 = 216
Solving the quadratic equation x^2 + 6x - 216 = 0, we have x = 12 or -18
i.e length = 12 and width = 6 + 18 = 18
