Answer:
We have, 63% × x = 252
or,
63/100 × x = 252
Multiplying both sides by 100 and dividing both sides by 63,
we have

x = 400
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Answer: A) y = 7x
<u>Step-by-step explanation:</u>
In order to be a proportional relationship, the equation MUST pass through the origin (0, 0) and only contain two coordinates
A) 0 = 7(0) ---> 0 = 0 TRUE
B) 0 = 2 + 3(0) ---> 0 = 2 False
C) 0 = Vz(0) ---> Too many variables so False
D) 0 = 5 - 0 ---> 0 = 5 False
Answer:
216 US dollars
Step-by-step explanation:
Let the amount he earned for babysitting be x
He spent 1/4 of x on guitar=(1/4)×x=1/4x
He gave 1/4 of x to charity= (1/4)×x=1/4x
Equation 1
Total amount left=(Total amount earned -Total amount spent)
Total amount earned=x
Total amount spent=(Spent on Guitar+Spent on Charity)=(1/4x)+(1/4x)=1/2x=0.5x
Total amount left=108 US dollars
Substituting in equation 1
108=(x-0,5x)
Solving
0.5x/0.5=108/0.5
x=216 US dollars
He started with 216 US dollars
Answer:

The mean of the distribution is 0.25.
The variance of the distribution is of 0.6875.
Step-by-step explanation:
Probability density function:
For it to be a probability function, the sum of the probabilities must be 1. The probabilities are 3c, 3c and 6c, so:



So the probability distribution is:



Mean:
Sum of each outcome multiplied by its probability. So

The mean of the distribution is 0.25.
Variance:
Sum of the difference squared between each value and the mean, multiplied by its probability. So

The variance of the distribution is of 0.6875.