p(not A)=0.18
p(A&B)= 0.44
A= 0.44- 0.18
= 0.26
P(B given A)= 0.26+0.18+0.44
=0.7
Step-by-step explanation:
a. y=mx+c
m = rise/run
3/2=m
1.5=m
b. y=1.5x+3
c. y int. x=0 x int. y=0
y=1.5(0)+3 0= 1.5x+3
y= 3 -3=1.5×
1.5x/1.5=-3/1.5
x= 2
d. y-y1 =m(x-x1)
y-3=1.5(×-2)
y-3 =1.5x-3
y-3+3=1.5x-3+3
y=1.5x +0
y int =3 x int =2
The unknown scale factor above is calculated by dividing the true value of the length of the banner by the length in the photograph. If we take the first dimension that is 8 inches only in photograph but 12 feet in the banner.
scale factor = (12 ft)(12 inches/ 1 ft) ÷ 8 inches
scale factor = 18
Therefore, the scale factor is 18:1. The answer to this item is letter D.
Answer:
63.16 in approx.
Step-by-step explanation:
Let the shorter leg be S. Then the longer leg is L = 3S + 3.
The formula for the area of a triangle is A = (1/2)(base)(height). Here, that works out to A = 84 in^2 = (1/2)(S)(3S + 3).
Simplifying, we get 168 in^2 = S(3S + 3), or
3S^2 + 3S - 168 = 0, or
S^2 + S - 56 = 0. This factors as follows: (S - 8)(S + 7) = 0, so the positive root is S = 8. We discard the negative root.
Thus, the shorter leg length is 8 and the longer leg length is 3(8) + 3, or 27.
According to the Pythagorean Theorem, the hypotenuse length is given by
L^2 = 8^2 + 27^2, or
L^2 = 64 + 729 = 793.
L = hypotenuse length = √793, or approx. 28.2 in.
Then the perimeter of the triangle is 8 + 27 + 28.2 in, or approx. 63.16 in
