Answer:
Step-by-step explanation:
The width of the rectangle = x
Therefore the length of the rectangle = 2x, as it is twice its width
We know that the perimeter of a rectangle = 2 × （length + width）
So since the perimeter equals to 30, then we can form the equation:
2×(2x+x) = 30
2×(3x) = 30
6x = 30
x = 5
width of the rectangle = x = 5
length of the rectangle = 2x = 2×5 = 10
If there is an unit which is in the question, remember to add it to the end of the answer. As you have not written any units in the posted question, I will leave it as it is.
Hope this helps :)
Step-by-step explanation:
33/4=8.25
-21/2= -10.5
8.25÷-10.5=0.785
Answer:
By the Empirical Rule, 99.7% of the students have grade point averages that are between 1.28 and 3.8.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 2.54
Standard deviation = 0.42.
Between 1.28 and 3.8?
1.28 = 2.54 - 3*0.42
So 1.28 is 3 standard deviations below the mean
3.8 = 2.54 + 3*0.42
So 3.8 is 3 standard deviations above the mean
By the Empirical Rule, 99.7% of the students have grade point averages that are between 1.28 and 3.8.
That's written as 5.6 x 10⁻¹⁷ .
(To change 5.6 into the original number, you'd need to
move the decimal point 17 places backwards.)
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I know the best answer ever (*says sarcastically*)
