Answer:
Acute angle
Step-by-step explanation:
Given that m<C = 
, to find out the type of angle angle C is, evaluate the expression given by substituting x = 13, in the expression.
m<C =
m<C = 
m<C = 
m<C = 76°
Acute angles are less than 90°.
m<C is less than 90°, therefore it is an acute angle.
Answer:
Option D.
Step-by-step explanation:
The area of the circular bases is:
Where
is the radius of the circle
Then
The area of the rectangle is:
Where
b is the width of the rectangle and 
is the length
Then the area of the rectangle is:
Finally the total area is:
Answer:
A. Yes, the result is a binomial probability distribution.
Step-by-step explanation:
The experiment above depicts a binomial probability distribution because the 4 required conditions are met :
1.) The distribution is independent as the possible outcome of each trial is the same.
2.) There are two possible categories and the result of each trial is one of two outcomes : Yes or No
3.) The number of observation is fixed at sample size of 5500
4.) The probability of success and failure of each trial is the same for all trials in the sample.
Hence, we can conclude that the experiment depicts a binomial probability distribution.
Answer:
8
Step-by-step explanation:
Answer:
The number of viewers Network A expects will watch their show is 1.4 million viewers.
Step-by-step explanation:
The expected value is calculated by multiplying the possible outcomes by the probability of their occurrence and adding the results
Therefore, we have the expected value given by the following expression;
Estimated network A viewers where network B schedule top show = 1.1 million viewers
Estimated network A viewers where network B schedule a different show = 1.6 million viewers
Probability that Network B will air its top show = 0.4
Probability that Network B will air another show = 0.6
We therefore have;
Expected value, E of Network A viewers is therefore;
E = 1.1 × 0.4 + 1.6 × 0.6 = 0.44 + 0.96 = 1.4 million viewers.
Network A expects 1.4 million viewers will watch their show.
