Answer:
The scores are between 50 and 90
Step-by-step explanation:
When we say middle 95%, we means that this value falls between 2 standard deviations of the mean i.e
μ ± 2σ
Hence,
mean of 70 and a standard deviation of 10
μ ± 2σ
μ - 2σ
70 - (2 × 10)
= 70 - 20
= 50
μ + 2σ
= 70 + (2 × 10)
= 70 + 20
= 90
Answer:
F. 20(3a-10)^2
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Step-by-step explanation:
180a^2-1200a+2000
Start by looking for a common factor: In this case, it's 20
From here, divide 20 from every number
180a^2/20= 9a^2
1200a/20= 60a
2000/20= 100
You end up with:
20(9a^2-60a+100)
But you can still simplify (9a^2-60a+100)
(9a^2-60a+100) simplifies to (3a-10)^2
So the answer is:
20(3a-10)^2
Given :
A kitchen supply outfit makes spoons and forks for sale. It costs the store $2 to buy the supplies needed to make a fork and $1 for the supplies to make a spoon. The store sells the forks for $4 and the spoons for $5.
Last month they spent $39 on supplies and sold all the forks and spoons they made using those supplies for $93.
To Find :
How many forks and spoons did the company make.
Solution :
Let, number of forks and spoons the company made are f and s.
For buying from the kitchen the equation is :
2f + s = 39 ....1)
For selling the equation will be :
4f + 5s = 93 ....2)
Multiplying equation 1) by 5 and subtracting equation 2) from it we get :
(10f + 5s) - ( 4f + 5s) = 195 - 93
6f = 102
f = 17 and s = 5
Therefore, the company make 17 forks and 5 spoons.
