-4/4 can be reduced to -2.
(-8/4) can be reduced to -1.
What you have to do next is to add -1-(-2).
The final answer is 1.
Hope that helps!!!.
The radius would be 75.36. In order to receive this answer, you must do 48 times 3.14. You will then receive an answer of 150.72. Then, you have to divide 150.72 by 2 in order to obtain your final answer : 75.36.
Slope of AB=(2-3)/(1+1)=-1/2; AC=(-1-3)/(-3+1)=-4/-2=2; BC=(-1-2)/(-3-1)=-3/-4=3/4.
The product of two sides that are perpendicular is -1. Slopes of AB and AC are perpendicular so angle A is a right angle. ABC is a right-angled triangle.
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





Answer:
- <u>0.25</u>
- <u>0.85</u>
Step-by-step explanation:
P (Triangle or Square) :
- Area of Triangle + Area of Square / Area of Rectangle
- 1/2 x 3 x 4 (height is found by Pythagorean Theorem) + (3)² / 10 x 6
- 6 + 9 / 60
- 15/60
- <u>0.25</u>
<u></u>
P (Not the square) :
- Area of rectangle - Area of square / Area of rectangle
- 60 - 9 / 60
- 51/60
- 17/20
- <u>0.85</u>