Answer:
n = -3
Step-by-step explanation:
The difference of the square of a number and 24 is equal to 5 times that number. Find the negative solution.
I'm going to call the number "n."
n² - 24 = 5n subtract 5n from both sides to get the equation equal to zero
<u>- 5n -5n</u>
n² - 5n - 24 = 0 factor the trinomial into the multiplicatin of two binomials
we need factors (numbers that multiply) to -24 that add up to
-5. The only factors for -24 that will add up to -5 are -8 and 3.
(n-8)(n+3) = 0 set each binomial equal to zero and solve for n
n-8 = 0 or n+3 = 0
<u>+8 +8</u> <u> -3 -3</u>
n = 8 or n = -3 n = -3 is the negative solution
Answer:
0.8413 or 84.13%
Step-by-step explanation:
Given : The mean is 72 inches and the standard deviation is 15 inches
To Find : What is the probability that in a randomly selected year, the snowfall was less than 87 inches
Solution:
Mean = 
Standard deviation = 
Formula : 
We are supposed to find the probability that in a randomly selected year, the snowfall was less than 87 inches
So, x = 87
Substitute the values in the formula


Now to find P(z<87) refer the z table
P(Z<87)=0.8413 = 84.13%
So, the probability that in a randomly selected year, the snowfall was less than 87 inches if the mean is 72 inches and the standard deviation is 15 inches is 0.8413 or 84.13%
Answer:
Choir kids are selling tickets to their show. There needs to be 400 tickets sold ,and there are 100 kids to sell them. How many tickets does each kid need to sell?
Step-by-step explanation:
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