Answer:
the answer is 83 degrees
Step-by-step explanation:
most angles that connect diagonally are vertically opposite angles. hope it helps have a great day and can i get brainliest
Answer:

Step-by-step explanation:
Given:

Solve for:

Solution:
Step 1: Select the formula to solve for 
There are some ways to solve quadratic equations.
One of the simple way (if possible) is performing the factorization.
Another way is using the quadratic formula.
Here, we are going to use factorization.
Step 2: Perform factorization

<=>
<=>
<=>
<=>
<=>
or 
Hope this helps!
:)
The expression that represents her weekly income is:
180 + 0.03w
Answer:
a)
b) 
c) 
d) 
Step-by-step explanation:
Let X the random variable that represent the number of material anomalies occurring in a particular region of an aircraft gas-turbine disk. We know that
The probability mass function for the random variable is given by:
And f(x)=0 for other case.
For this distribution the expected value is the same parameter
,
, 
a. Compute both P(X≤4) and P(X<4).
Using the pmf we can find the individual probabilities like this:




b. Compute P(4≤X≤ 8).







c. Compute P(8≤ X).


d. What is the probability that the number of anomalies exceeds its mean value by no more than one standard deviation?
The mean is 4 and the deviation is 2, so we want this probability




