Answer:
13.98 in²
Step-by-step explanation:
I don't understand it, either.
Point N is part of a "segment" that above and to the right of chord MO. It is the sum of the areas of 3/4 of the circle and a right triangle with 7-inch sides. The larger segment MO to the upper right of chord MO has an area of about 139.95 in², which <u>is not</u> an answer choice.
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The remaining segment, to the lower left of chord MO does not seem to have anything to do with point N. However, its area is 13.98 in², which <u>is</u> an answer choice. Therefore, we think the question is about this segment, and we wonder why it is called MNO.
The area of a segment is given by the formula ...
A = (1/2)(θ -sin(θ))r² . . . . . . where θ is the central angle in radians.
Here, we have θ = π/2, r = 7 in, so we can compute the area of the smaller segment MO as ...
A = (1/2)(π/2 -sin(π/2))(7 in)² = 24.5(π/2 -1) in² ≈ 13.9845 in²
Rounded to hundredths, this is ...
≈ 13.98 in²
Answer: 95% confidence interval would be (26.01,29.39).
Step-by-step explanation:
Since we have given that
n = 50
Mean = 27.7
Standard deviation = 6.12
We need to construct 95% confidence interval for the population.
so, z = 1.96
So, it becomes,
Hence, 95% confidence interval would be (26.01,29.39).
First off you need to convert the numbers into mixed numbers.
1 3/7 goes to 10/7
3 2/3 goes to 11/3
Then you multiply the numerators together:
10 * 11 = 110
Do the same for the denominators:
3 * 7 = 21
Then place it into a fraction and you make the fraction positive because the signs at the start are the same:
110/21
Then you can turn it into a proper fraction:
5 5/21
5.49 $, just add them altogether
Answer: LM = 23
Step-by-step explanation:
Solve the algebraic equations:
Line KN: (solve for x)
move the 3 to the other side with addition
divide by 14 to get x by itself
Now that we have x we can find line KL:
So we now know that KL is 23 units. And we know that KL = LM
