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Answer:
P (X<120)=0
Step-by-step explanation:
We can compute the probability for women:
μ=259 and σ=32
P ( X<120 )=P ( X−μ<120-259 )=P ((X−μ)/σ<(120−259)/32)
Since (x−μ)/σ =Z
and
we have:
Use the standard normal table to find this area.
Now we can find P ( Z<4.34 ) by using the standard normal table which is 1:
Therefore: P (X<120)=0
For men
μ=242 and σ=29
P ( X<120 )=P ( X−μ<120-242 )=P ((X-μ)/σ <(120-242)/29 )
Since (x-μ)/σ=Z
and
we have:
Use the standard normal table to find this area.
Now we can find P ( Z<4.21 ) by using the standard normal table which is 1:
Therefore: P (X<120)=0
<u>Answer:</u>
<h2>
P = (6-π)/6</h2>
<u>Explanation:</u>
Circle Area:
CA = 1²×π
CA ≈ π in²
Triangle Area:
TA = 3×4/2 = 6 in²
Probability:
P(point not in circle) = (6-π)/6 ≈ 0.48 ≈ 47.64%
Boop beep boop beep boop beep boop.
Answer: x = 10
Explanation:
Proof that triangle CAB ~ EAD
Angle CAB = Angle EAD (same angle)
Angle ABC = Angle ADE = 90 degree
Thus, Triangle ABC ~ EAD (AA)
And CB/ED = 8/16 = 1/2
Which mean CB = (1/2)ED
That mean AB/AD also equal 1/2
Where AB = 1/2(AD)
We get:
x = 1/2(10 + x)
x = 5 + (1/2)x
x - (1/2)x = 5
(1/2)x = 5
x = 10