Given:
A coordinate pair was dilated from (-3, 2) to (-6, 4).
To find:
The scale factor.
Solution:
We need to divide the coordinate of dilated point by the corresponding coordinate of original point to find the scale factor.
The value of scale factor is:



Therefore, the scale factor is 2.
Using the <u>normal distribution and the central limit theorem</u>, it is found that there is an approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.
Normal Probability Distribution
In a normal distribution with mean
and standard deviation
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- By the Central Limit Theorem, for n instances of a normal variable, the mean is
while the standard deviation is
.
In this problem:
- Mean of 4 candies, hence
. - Standard deviation of 1.5 candies, hence
. - She visited 35 houses, hence

The probability is the <u>p-value of Z when X = 122</u>, hence:

By the Central Limit Theorem



has a p-value of 0.
Approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.
A similar problem is given at brainly.com/question/24663213
(x-6)(x+2)
When you foil it you get x^2+2x-6x-12
After you do this you then add like terms to get x^2-4x-12
Therefore the answer (x-6)(x+2) is correct.
Answer:
I believe it's 42
Step-by-step explanation:
Replace each letter in the expression with the assigned value.
First, replace each letter in the expression with the value that has been assigned to it. To make your calculations clear and avoid mistakes, always enclose the numbers you're substituting inside parentheses. The value that's given to a variable stays the same throughout the entire problem, even if the letter occurs more than once in the expression.
However, since variables "vary", the value assigned to a particular variable can change from problem to problem, just not within a single problem.
Perform the operations in the expression using the correct order of operations.
Once you've substituted the value for the letter, do the operations to find the value of the expression.
Answer:
Beatrice's age is 34
Step-by-step explanation:
Beatruce = B
Andrew = B+2
Chris= B-3
B+(B+2) +(B-3 )= 67-B
3B-1 = 67-B
2B -1 = 67
2B= 68
B = 34
Beatrice is 34
Andrew is 36 (34+2)
Chris is 31 (34-3)
36+31 = 67