Area of a rectangle: A = 24 a² b
Length: L = 8 a b²
Width: W = A / L = 24 a² b / 8 a b²
Answer: W = 3 a / b
Answer:
Step-by-step explanation:
x²+x²=9²
2x²=81
x²=81/2=(81×2)/4
x=9√2/2≈4.5√2≈6.36
9.
x²+x²=11²
2x²=11²
x²=11²/2
x=11/√2=11√2/2≈7.78
Answer:
The 98% confidence interval for the mean consumption of milk among people over age 32 is between 3.3 and 3.5 liters.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
That is z with a pvalue of
, so Z = 2.327.
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 3.4 - 0.1 = 3.3 liters
The upper end of the interval is the sample mean added to M. So it is 3.4 + 0.1 = 3.5 liters
The 98% confidence interval for the mean consumption of milk among people over age 32 is between 3.3 and 3.5 liters.
Answer:
Two intervals are 63 and 75
Step-by-step explanation:
Given:
Mean of students (μ) = 69 inches
Standard deviation (σ) = 3 inches μ
Find:
Interval of heights (95%) using empirical rule
Computation:
Interval of heights (95%) using empirical rule:
⇒ μ – 2σ = 69 - 2(3)
⇒ μ – 2σ = 69 - 6
⇒ μ – 2σ = 63
⇒ μ + 2σ = 69 + 2 (3)
⇒ μ + 2σ = 69 + 6
⇒ μ + 2σ = 75
Two intervals are 63 and 75