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The product is 10x²-48x+32.
Step-by-step explanation:
The distributive property allows you to simplify expressions where you multiply a number by a sum or difference.Here the product of a sum or difference, is equal to the sum or difference of the products.
In this case, given (5x-4)(2x-8)
Distribute as;
5x(2x-8) - 4 (2x-8)
10x²-40x-8x+32
10x²-48x+32
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Distributive Property : brainly.com/question/11916234
Keyword : Distributive property
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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
![Z=(120-259)/32=-4.34](https://tex.z-dn.net/?f=Z%3D%28120-259%29%2F32%3D-4.34)
we have:
![P(X](https://tex.z-dn.net/?f=P%28X%3C120%29%3DP%20%28Z%3C-4.34%29)
Use the standard normal table to find this area.
![P(Z](https://tex.z-dn.net/?f=P%28Z%3C-a%29%3D1-P%28Z%3Ca%29)
![P(Z](https://tex.z-dn.net/?f=P%28Z%3C-4.34%29%3D1-P%28Z%3C4.34%29)
Now we can find P ( Z<4.34 ) by using the standard normal table which is 1:
![P(Z](https://tex.z-dn.net/?f=P%28Z%3C-4.34%29%3D1-P%28Z%3C4.34%20%29%3D1-1%3D0)
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
![Z=(120-242)/29=-4.21](https://tex.z-dn.net/?f=Z%3D%28120-242%29%2F29%3D-4.21)
we have:
![P(X](https://tex.z-dn.net/?f=P%28X%3C120%29%3DP%20%28Z%3C-4.21%29)
Use the standard normal table to find this area.
![P(Z](https://tex.z-dn.net/?f=P%28Z%3C-a%29%3D1-P%28Z%3Ca%29)
![P(Z](https://tex.z-dn.net/?f=P%28Z%3C-4.21%29%3D1-P%28Z%3C4.21%29)
Now we can find P ( Z<4.21 ) by using the standard normal table which is 1:
![P(Z](https://tex.z-dn.net/?f=P%28Z%3C-4.21%29%3D1-P%28Z%3C4.21%29%3D1-1%3D0)
Therefore: P (X<120)=0