Answer:
(x, y ) → (x - 4, y + 8 )
Step-by-step explanation:
4 units left in the x- direction means subtract 4 from the x- coordinate
8 units up in the y- direction means add 8 to the y- coordinate
Then the translation rule is
(x, y ) → (x - 4, y + 8 )
Answer:
All except the second one (angle g is not similar to angle r)
Step-by-step explanation:
Just look at the order of the letters. It it's the same, its similar.
Answer:
Scatter plots are plots of data (different points on a plot). The line of best fit is the line that goes through the middle of the data so there are equal number of points on both sides of the line.
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 with Step-by-step explanation:
Let there be d dimes and q quarters
A woman has 21 total coins in her pocket.
⇒ d+q=21 ------(1)
1 dime=$ 0.1
1 quarter=$ 0.25
The total value of her change is $3.90
⇒ 0.1d+0.25q=3.90
Multiplying both sides by 100,we get
10d+25q=390 --------(2)
(2)-10×(1)
10d+25q-10d-10q=390-210
15q=180
Dividing both sides by 15, we get
q=12
Putting value of q in (1),we get
d=9
Hence, Number of dimes=9
and number of quarters=12
Write the number of dimes, then the number of quarters separated by a comma.
9,12