Answer:
5
Step-by-step explanation:
x^2 - 10x + 16 = 0
factor
(x - 2)(x - 8) = 0
roots
x = {2, 8}
mean of roots
a = (2 + 8) /2
a = 5
The number of viewers from the 46 - 55 age group who rated the film excellent is 25.
Therefore, the percentage of the total survey group who rated the film excellent and also was from the 46-55 age group = 25 / 446 x 100% = 5.61%
Answer:
(a) 0.9412
(b) 0.9996 ≈ 1
Step-by-step explanation:
Denote the events a follows:
= a person passes the security system
= a person is a security hazard
Given:

Then,

(a)
Compute the probability that a person passes the security system using the total probability rule as follows:
The total probability rule states that: 
The value of P (P) is:

Thus, the probability that a person passes the security system is 0.9412.
(b)
Compute the probability that a person who passes through the system is without any security problems as follows:

Thus, the probability that a person who passes through the system is without any security problems is approximately 1.
Answer:
128.4 Miles
Step-by-step explanation:
She goes to work and goes 10.7 miles, and then goes back home aswell which is also 10.7 miles. So total miles in one day = 10.7 + 10.7 = 21.4 miles in one day.
so 1 week = 21.4 x 6
128.4 miles.
we times it by 6 because she works 6 days a week only.
hope it helped :)
Answer:
Use a line graph with multiple lines.
Step-by-step explanation:
Since line graphs show data over time, and you have multiple people, this is a perfect choice. Put the days or however amount of time on the x axis, and the gallons or a different water amount on the y-axis. Color-code the lines to each family member.