Answer:
The length of the case is 17 inches.
Step-by-step explanation:
A flute case is shaped like a rectangular prism with dimensions:
- height = 5 inches;
- width = 3 inches;
- length = x inches.
The volume of the case is 255 cubic inches.
Use formula for the volume of the rectangular prism:
Thus,
The length of the case is 17 inches.
Answer:
x = £200
(y = £400)
Step-by-step explanation:
Convert interest rates into decimal format:
3% = 3/100 = 0.03
4% = 4/100 = 0.04
From information given, create 2 equations:
0.03x + 0.04y = 22
0.04x + 0.03y = 20
Rearrange equation 1 to make y the subject:
⇒ 0.03x + 0.04y = 22
⇒ 0.04y = 22 - 0.03x
⇒ y = 550 - 0.75x
Substitute y = 550 - 0.75x into equation 2 and solve for x:
⇒ 0.04x + 0.03(550 - 0.75x) = 20
⇒ 0.04x + 16.5 - 0.0225x = 20
⇒ 0.0175x = 3.5
⇒ x = 200
To find y, substitute found value of x into one of the equations and solve for y:
⇒ 0.04(200) + 0.03y = 20
⇒ 8 + 0.03y = 20
⇒ 0.03y = 12
⇒ y = 400
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Step-by-step explanation:
Answer:
A. 17 feet
Step-by-step explanation:
The standard deviation is 4 games
A standard deviation (or σ) is a measure of how dispersed the facts are in relation to the mean. Low general deviation method statistics are clustered around the imply, and excessive trendy deviation indicates facts are more unfold.
Don't forget the statistics set: 2, 1, 3, 2, four. The mean and the sum of squares of deviations of the observations from the mean will be 2. 4 and 5.2, respectively. as a consequence, the same standard deviation could be √(5.2/5) = 1.01.
In data, the same old deviation is a degree of the quantity of variant or dispersion of a set of values. A low preferred deviation indicates that the values tend to be close to the mean of the set, while a high general deviation shows that the values unfold out over a much broader variety.
Given that,
mean = μ = 18
standard deviation = Σ = 6
n = 2
μ x = μ = 18 games
√ x = Σ / √ = 6
√2 = 4 games
Learn more about standard deviation here brainly.com/question/12402189
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