Answer:
0
Step-by-step explanation:
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:
see explanation
Step-by-step explanation:
If (x + 1) is a factor then f(- 1) = 0
f(- 1) = 19
+ 18(- 1) - 1 = 19 - 18 - 1 = 0
Thus (x + 1) is a factor of f(x)
Answer:
The right answer is: 14,256 cubic inches
Step-by-step explanation:
First of all, let's identify the dimensions of the tank and convert them to inches
Knowing that 1 Feet = 12 inches
So, the dimensions of the tank, expresed in inches will be:
Height (H): 2 ft. x 12 = 24 inches
Width (W): 1.50 ft. x 12 = 18 inches
Lenght (L): 3 ft. x 12 = 36 inches
Before calculating the volume of water inside the thank, We must consider that <em>there are two inches of empty space at the top.</em>
So , We must substract 2 inches to the height to calculate the volume.
Then, the height used for calculating the volume will be:
H'= 24 inches - 2 inches = 22 inches
Then,
Volume (V)= W x L x H'
V= (18 inches) x (36 inches) x (22 inches)
V= 14,256 cubic inches
Answer: x=3
Step-by-step explanation:
4(2x-7)-2x=-10
Multiply 4 with 2x and -7
8x-28-2x=-10
Add like terms which are 8x and -2x
6x-28=-10
Add 28 to both sides so the -28 cancels out
6x=18
Divide both sides by 6 to isolate the x
Answer= x=3