Solve the inequality below. Use the drop down menus' to describe the solution and its graph.
1 answer:
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Answer:
0.0322; 0.9929
Step-by-step explanation:
Since the data is normally distributed, we use z scores for these probabilities.
The formula for a z score of a sample mean is
For the sample of mildly obese people, the mean, μ, is 371; the standard deviation, σ, is 65; and the sample size, n, is 6.
Using 420 for X,
z = (420-371)/(65÷√6) = 49/(65÷2.4495) = 49/26.5360 ≈ 1.85
Using a z table, we see that the area under the curve to the left of this is 0.9678. However, we want the area to the right, so we subtract from 1:
1-0.9678 = 0.0322
For the sample of lean people, the mean, μ, is 528; the standard deviation, σ, is 108; the sample size, n, is 6.
Using 420 for X, we have
z = (420-528)/(108÷√6) = -108/(108÷2.4495) = -108/44.0906 ≈ -2.45
Using a z table, we see that the area under the curve to the left of this is 0.0071. We want the area under the curve to the right, so we subtract from 1:
1-0.0071 = 0.9929
The circumference is 26
To find this we must start by finding the radius of the circle. You can find this using the formula for area adjusted to find the radius.
r =
Then when we plug the area in for A, we get the radius to be 13.
We can then use that number in the circumference formula which is below.
C = 2r
Using that we can find the circumference to be 26
To find this we must start by finding the radius of the circle. You can find this using the formula for area adjusted to find the radius.
r =
Then when we plug the area in for A, we get the radius to be 13.
We can then use that number in the circumference formula which is below.
C = 2
Using that we can find the circumference to be 26