Answer:
The probability of eating pizza given that a new car is bought is 0.952
Step-by-step explanation:
This kind of problem can be solved using Baye’s theorem of conditional probability.
Let A be the event of eating pizza( same as buying pizza)
while B is the event of buying a new car
P(A) = 34% = 0.34
P(B) = 15% = 15/100 = 0.15
P(B|A) = 42% = 0.42
P(B|A) = P(BnA)/P(A)
0.42 = P(BnA)/0.34
P(B n A) = 0.34 * 0.42 = 0.1428
Now, we want to calculate P(A|B)
Mathematically;
P(A|B = P(A n B)/P(B)
Kindly know that P(A n B) = P(B n A) = 0.1428
So P(A|B) = 0.1428/0.15
P(A|B) = 0.952
Answer:
x =42.5
x+8 =50.5
3x+2 = 129.5
Step-by-step explanation:
The two angles shown are supplementary, so they add to 180
x+8 + 3x+2 = 180
Combine like terms
4x+10 = 180
Subtract 10
4x = 170
Divide by 4
x =42.5
x+8 = 42.5+8 = 50.5
3x+2 = 3*42.5 +2 = 127.5 +2 = 129.5
For an equation y = a tan[b(x+c)], the period is equal to 2*pi/b, while the phase shift is c.
This equation can be rewritten as:
f(x) = 3 tan [4(x + pi/4)]
In this case, b = 4, c = pi/4
Then the period = 2*pi/b = pi/2.
The phase shift = pi/4 (to the left).
When in doubt, draw a picture. The vertex of the equation is at (3,0) and the y-intercept is at (0,4.5). The answer is D
Answer:
5
Step-by-step explanation:
Apply Pythagorean theorem
