Y - x - 3 = 0
y = x + 3
y = x^2 - x - 12
x + 3 = x^2 - x - 12
x^2 - x - 12 - x - 3 = 0
x^2 - 2x - 15 = 0
(x - 5)(x + 3) = 0
x - 5 = 0 y = x + 3
x = 5 y = 5 + 3
y = 8
x + 3 = 0 y = x + 3
x = -3 y = -3 + 3
y = 0
so ur solutions are : (5,8) and (-3,0)
Perimeter of a rectangle is
2*width + 2*length
then multiply the perimeter by the cost per foot
2*(150ft) + 2*(200ft)
300ft + 400ft
700ft
700ft * $10/ft
$7000
Answer: a) 0.5636 b) 0.7881
Step-by-step explanation:
We assume that women’s heights are normally distributed .
Let x be the random variable that represents the shoe sizes.
Also, The population mean =
; Standard deviation: 
a) Formula for z:-

Put x= 64, we get

Now, the probability that the male shoe sizes are greater than 8 :-

Hence, the probability that her height is less than 64 inches = 0.5636
b. Sample size : n= 25
Then , the formula for z :-

Put x= 64, we get

Then, the probability that they have a mean height less than 64 inches.:_

Hence, the probability that they have a mean height less than 64 inches. =0.7881