Answer:
σ = 0.5102
Step-by-step explanation:
If
Y = volume filled,
µ = mean
It is a normal distribution
It follows that
0.95 = P (|Y − µ| < 1) = P (|Z| < 1 / σ)
so that
1 / σ = 1.96 ⇒ σ = (1 / 1.96)
⇒ σ = 0.5102.
Answer:
A
Step-by-step explanation:
Given that Ben worked 6 hours at x dollars per hour. That is,
Ben earns = 6x
Julie worked 9 hours and earned twice as much as Ben per hour. That is,
Julie earns = 9 × 2x = 18x
Phil worked 16 hours and earned 3 dollars an hour less than Julie
That is,
Phil earns = 16 × ( 2x - 3 )
= 32x - 48
Total wages = 6x + 18x + 32x - 48
Total wages = 56x - 48
Option A is therefore the best option which is the answer to the question.
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Formula
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Area of circle = πr²
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Find radius
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πr² = 75
r² = 75 ÷ π
r² = 23.87
r = √23.87
r = 4.89 cm (nearest hundreds)
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Answer : radius = 4.89cm
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Answer:
4 3/8 cups of baking soda
Step-by-step explanation:
1 3/4 cups of baking soda are needed to make 1 batch of a homemade cleaning product,
Cups of baking soda : batches of homemade cleaning
1 3/4 cups : 1 batch
How many total cups of baking soda I needed to make 2 1/2 batches of the cleaning product?
Let x = total cups of baking soda needed
Cups of baking soda : batches of homemade cleaning
x cups : 2 1/2 batches
Equate the ratios
1 3/4 cups : 1 batch = x cups : 2 1/2 batches
7/4 ÷ 1 = x ÷ 5/2
7/4 × 1/1 = x * 2/5
7/4 = 2/5x
Divide both sides by 2/5
x = 7/4 ÷ 2/5
= 7/4 × 5/2
Cross product
x = 35/8
= 4 3/8 cups of baking soda
Answer:
both statements are fine
Step-by-step explanation:
To find the price of a product after decreasing it, they can be done in the two ways that the statement tells us,
First, calculate that% that was decreased and then subtract it from the original price or simply multiply that original price by the percentage in which the new price would remain.
For example:
let "x" be the original price
in the first case it would be:
0.2 * x and then subtract from x, i.e .:
x - 0.2 * x
in the second case it is:
1 - 0.2 = 0.8
that is, the new price would be 0.8 * x
