Answer:
4.25
Step-by-step explanation:
Here in this question, we want to calculate the mean absolute deviation of the data.
The first thing we will do here is to calculate the mean;
= (74 + 79 + 76 + 85 + 87 + 83 + 86 + 78)/8 = 81
Now, the next thing to do here is to calculate how far each of the values have deviated from the mean. This can be calculated by subtracting the mean from each individual value;
This is presented in the table on the attachment, please check attachment for this
Afterwards, we find the absolute value of all these subtractions then divide by 8 which is the number of values in the data.
Mean absolute deviation = Sum of all absolute deviations/number of values in dataset
Answer:
a. 0.25
b. 0.50
c. 0.75
Step-by-step explanation:
P(E1) = 0.25
P(E2) = 0.25
P(Es) = 0.25
P(E) = 0.25
a. Since there are 4 outcomes with the same probability of occurring, the probability of E occurring is:

b. The probability of any two outcomes occurring is twice the probability of a single outcome occurring

c. The probability of any three outcomes occurring can be written as 100% minus the probability of the remaining outcome occurring

Answer:
6 blue marbles
Step-by-step explanation:
Given;
Total number of marbles N = 15
probability of randomly selecting a green marble
P(G) = 1/5
The probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble P(G∩B) = 2/25
P(G∩B) = P(G) × P(B)
P(B) = P(G∩B) ÷ P(G)
The probability of selecting a blue marble
P(B) = 2/25 ÷ 1/5 = 2/5
The number of blue marbles N(B) = P(B) × N
N(B) = 2/5 × 15 = 6
There are 6 blue marbles
We start off with 100 dollars. Which in this case Eliza deposits 25 every month.
What is average rate of change?
It is a measure of how much the function changed per unit, on average, over that interval
So this meaning that
25x + 100 would be are main focus here.
Replace x with 2 since we are finding the change of the 2nd account
25(2) + 100 = 150
Do the same problem but replace x with 10
25(10) + 100 = 350 dollars
So the average rate of change would be 25 dollars
:)