Answer: Option C.
Step-by-step explanation:
You need to find the distance AB with the formula for calculate the distance between two points:

Then, substituting the coordinates of the points A(1,1) and B(4,1), you get:

You know that A'B'=6, then the scale factor of dilation can be calculated with:

Substituting values, you get:

This matches with the option C.
Given
A single die is rolled.
To find the probability of rolling an odd number or a number less than 6.
Explanation:
It is given that,
A single die is rolled.
Then, the sample space is,

Let A be the event of getting an odd number.
Then,

Let B be the event of getting a number less than 6.
Then,

Also,

Therefore,

Hence, the answer is 5/6.
Answer:
A
Step-by-step explanation:
The cosine of a right triangle is the adjacent over the hypotenuse. If the cosine is -3/5 then it must be a right triangle with sides 3, 4, & 5 since this is a Pythagorean triple. This means the sin will be -4/5. We know its negative because the tangent is positive so this is the 3rd quadrant where both Sine and Cosine are negative.
The mean of the sample is 15.4 and the standard deviation of the sample is 2.87. This shows that the population parameters of the sample is lower and is less dispersed.
Answer:
x = 3 or x = 1
y = 3 or y = -1
(x, y) = (3, 3)
(x, y) = (1, -1)
Step-by-step explanation: