5280 ÷ 2 = ?
How many times does 2 go into 5280?
5280 ÷ 2 = 2640
2 goes into 5280, 2640 times!
can be rewritten as
to the
power:
Now, applying exponent rules (multiply exponent inside parentheses by the one outside parentheses), we get:
This is equivalent to
, so now, we just simplify:
So:
Let X be the hip breadth for men. X follows Normal distribution with mean μ =14.8 and standard deviation σ =1.1
Here we have to find the hip breadth for men that separates the smallest 90% from the largest 10%
That is we have to find X that separates lower 90% area from upper 10%. For that we will first find z such that probability below it is 0.9 and above it 0.1
P(Z < z) =0.9
Using z score table to find z value
We do not have probability value exactly 0.9 so we will take probability close to 0.9 which is 0.8997 and corresponding z score is 1.28
So we have P(Z < 1.28) =0.9
Now using z=1.28, μ =14.8 and σ =1.1 we will find value of x
x = z*σ + μ
= (1.28 * 1.1) + 14.8
x = 16.208 rounding to nearest integer x= 16
The hip breadth that separates lower 90% area from upper 10% is 16 inch
The correct answer is 2.8
The answer is A because all of the coordinates match to the points up above. Lets take the coordinate (-3,6) for example. -3 would be where the point is on the x-axis which is horizontal (side to side), that means the 6 would be on the y-axis vertical(up and down). Hope this helps :)