P(A) =0.54
P(B)= 0.68
P'(A)= 1-0.54 = 0.46
P'(B)= 1- 0.68 = 0.32
The probability of neither of both event will occur:
= P'(A)×P'(B)
=0.46 × 0.32
=0.1472
X=2 my friend
hope this helps!
Answer:
After 5 minutes, the BAC was increasing at the rate of 0.0137 mg/mL a minute.
Step-by-step explanation:
The average blood alcohol concentration (bac) is modeled by the following function.

In which t is measured in minuted.
How rapidly was the BAC increasing after 5 minutes?
This is c'(t) when t = 5.
Using the derivative of the product.
Derivative of the product:


In which problem:


So


After 5 minutes, the BAC was increasing at the rate of 0.0137 mg/mL a minute.
1 cartons of juice = $4.20
3 single cartons = 4.20 * 3 = $12.60
1 pack = $9.45
He saved 12.60 - 9.45 = $3.15
So, he saved $3.15, compared to the total ($12.60)
To calculate the percentage, we will do a proportion:
3.15 (money saved) : 12.60 (total of 3 single cartons) = x (how much percentage) : 100 (total)
3.15 : 12.6 = x : 100
To calculate x, we will moltiplicate the ends (where we have known numbers) than divide all per 12.6
So
x = (3.15 * 100) / 12.60 = 315 / 12.6 = 25
So the percentage saving is 25%
Complete Question
Each summer Primo Pizza and Pizza Supreme compete to see who has the larger summer profit.
Let p(x) represent Primo Pizza's profit (in dollars) x days after June 1. Let s(x) represent Pizza Supreme's profit (in dollars) x days after June 1.
Suppose Primo Pizza's profit each day is 1.9 times as large as the profit of Pizza Supreme.
Write a function formula for p using the function s
Answer:
The function formula for p using the function s is p(x) = 1.9s(x)
Step-by-step explanation:
Given
p(x) = Primo Pizza's profit (in dollars) x days after June 1.
s(x) = Pizza Supreme's profit (in dollars) x days after June 1.
It is given that Primo Pizza's profit each day is 1.9 times as large as the profit of Pizza Supreme.
This implies that
p(x) = 1.9*s(x)
So, p(x) = 1.9s(x)
Hence, the function formula for p using the function s is p(x) = 1.9s(x)