Answer:
y = -4
Step-by-step explanation:
8 = 3y - 12 - 8y
Combine like terms
8 = -5y -12
Add 12 to each side
8+12 - 5y-12+12
20 = -5y
Divide each side by -5
20/-5 = -5y/-5
-4 =y
Answer: The sum of the series is 2,548.
In a geometric series, the values are being multiplied by a constant rate. In this series, we are started at 7 and multiplying by 3.
Our series would be:
7 21 63 189 567 1701
If we add up those values, we have a total of 2,548.
Answer:
The probability that in a randomly selected game, the player scored greater than 24 points is 0.0013 or 0.13%
Step-by-step explanation:
Given that
Mean = μ = 15 points
SD = σ = 3 points
For calculating probability for a data point, first of all we have to calculate the z-score of the value.
We have to find the probability of score greater than 24, then the z-score of 24 is:
z-score = (x-μ)/σ
z = (24-15)/3
z = 9/3
z = 3
Now we have to use the z-score table to find the probability of z<3 then it will be subtracted from 1 to find the probability of z>3
So,

Converting into percentage
0.0013 * 100 = 0.13%
Hence,
The probability that in a randomly selected game, the player scored greater than 24 points is 0.0013 or 0.13%
Answer:
16.2 units
Step-by-step explanation:
Greater angle: 180 - 72 = 108
D² = 10² + 10² - 2(10)(10)cos(108)
D² = 261.8033989
D = 16.18033989
Answer:
(-5, -8)
Step-by-step explanation:








