Information was collected on those who attended the opening of a new movie. The analysis found that 56 percent of the moviegoers
1 answer:
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Answer:
scalene
Step-by-step explanation:
step 1
Find the value of y
we know that
The sum of the interior angles in a triangle must be equal to 180 degrees
In this problem
m∠A+m∠B+m∠C=180°
substitute the given values
Solve for y
step 2
<em>Find the measure of angle B</em>
m∠B=(y+40)°
substitute the value of y
m∠B=(15+40)=55°
step 3
<em>Find the measure of angle C</em>
m∠C=(3y-10)°
substitute the value of y
m∠C=(3(15)-10)=35°
The three interior angles are different
so
The three sides of the ABC triangle will also be different
therefore
The right triangle ABC is scalene
Answer and Explanation:
Given : The random variable x has the following probability distribution.
To find :
a. Is this probability distribution valid? Explain and list the requirements for a valid probability distribution.
b. Calculate the expected value of x.
c. Calculate the variance of x.
d. Calculate the standard deviation of x.
Solution :
First we create the table as per requirements,
x P(x) xP(x) x² x²P(x)
0 0.25 0 0 0
1 0.20 0.20 1 0.20
2 0.15 0.3 4 0.6
3 0.30 0.9 9 2.7
4 0.10 0.4 16 1.6
∑P(x)=1 ∑xP(x)=1.8 ∑x²P(x)=5.1
a) To determine that table shows a probability distribution we add up all five probabilities if the sum is 1 then it is a valid distribution.
Yes it is a probability distribution.
b) The expected value of x is defined as
c) The variance of x is defined as
d) The standard deviation of x is defined as