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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.
We have that the graph will have a solution that is mathematically given as
y=12sin(6t-\pi)+2
<h3>
Daylight time June trough to December</h3>
Question Parameters:
A city averages 14 hours of daylight in June (the longest days) and 10 in December (the shortest days).
Generally the equation for the Amplitude and vertical shift is mathematically given as

A=2
vertical shift =
vertical shift =
vertical shift =1
Therefore, the time is given as

Where

Hence,The graph will have a solution
y=12sin(6t-\pi)+2
For more information on Graph
brainly.com/question/14375099
Answer:
The equation of the sphere in standard form is

Step-by-step explanation:
<u>Step 1</u>:-
The equation of the sphere having center and radius is

Given centered of the sphere is (-6,10,5) and radius r=5

on simplification,we get


simplify , we get

Answer:
x=3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(x−5)+8=4
(2)(x)+(2)(−5)+8=4(Distribute)
2x+−10+8=4
(2x)+(−10+8)=4(Combine Like Terms)
2x+−2=4
2x−2=4
Step 2: Add 2 to both sides.
2x−2+2=4+2
2x=6
Step 3: Divide both sides by 2.
2x/2 = 6/2
x=3