Answer:
0.002
Step-by-step explanation:
We need to estimate the standard error of the mean, so we can use it as a standard deviation of the sample of 50 males.
Standard error of the mean = standard deviation/√n
Standard error of the mean = 32/√50 = 4.52
Now we can use this Standard error of the mean to estimate z as follows:
Z = (x – mean)/standard deviation
Z = (190-177)/4.52
Z = 2.87
Using a Z table we can find probability that mean is under 190
P (z<190)= 0.998
For the probability that the mean exceed 190 lbs we substract from 1
P(z>190) = 1 - 0.998 = 0.002
I believe the answer is 136.5g
Answer:
The measures of the angles at its corners are 
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the measure of angle A
Applying the law of cosines


![cos(A)= [215^{2}+125^{2}-185^{2}]/(2(215)(125))](https://tex.z-dn.net/?f=cos%28A%29%3D%20%5B215%5E%7B2%7D%2B125%5E%7B2%7D-185%5E%7B2%7D%5D%2F%282%28215%29%28125%29%29)


step 2
Find the measure of angle B
Applying the law of cosines


![cos(B)= [215^{2}+185^{2}-125^{2}]/(2(215)(185))](https://tex.z-dn.net/?f=cos%28B%29%3D%20%5B215%5E%7B2%7D%2B185%5E%7B2%7D-125%5E%7B2%7D%5D%2F%282%28215%29%28185%29%29)


step 3
Find the measure of angle C
Applying the law of cosines


![cos(C)= [125^{2}+185^{2}-215^{2}]/(2(125)(185))](https://tex.z-dn.net/?f=cos%28C%29%3D%20%5B125%5E%7B2%7D%2B185%5E%7B2%7D-215%5E%7B2%7D%5D%2F%282%28125%29%28185%29%29)


Answer:
46
Step-by-step explanation:
5x = 3x - 2 + 34
5x = 3x + 32
2x = 32
x = 16
plug back in
3( 16 ) - 2
48 - 2
46
The equation for Louis's purchase is: 
The equation for Kate's purchase is: 
The equation for Biff's purchase is: 
Step-by-step explanation:
First of all we have to define variables for each item involved in the purchase
Let x represent burger
y represent soda
z be the slice of pizza
Then
"Louis bought a burger and soda for $8"

"Kate purchased a slice of pizza and soda for $9"

"Biff purchased a burger, a slice of pizza and a soda for $13.50"

The equation for Louis's purchase is: 
The equation for Kate's purchase is: 
The equation for Biff's purchase is: 
Keywords: Linear Equations, Variables
Learn more about Linear equations at:
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