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:
About 1.23 standard deviation above the mean
Step-by-step explanation:
From what we have here, we need to calculate the difference between the given value and the mean and divide by the standard deviation
That would be through calculating the z score as follows;
z-score = (x - mean)/SD
where x is the given value
z-score = (87-71)/13 = 1.23
Since the score is bigger than the mean, the correct choice here is that the score is about 1.23 standard deviation above the mean
Answer: 100 rides are needed to break even.
Step-by-step explanation:
We have given the cost function
C(x)=15x+2000 where x is the number of rides.
And rides cost 35$
⇒ revenue function would be 35 times x
i.e.R(x)=35 x , where x is the number of rides.
Break even point of a firm occurs when at a certain point x the total cost equals to the total revenue.
i.e. at break even point
total revenue=total cost
⇒35x=15x+2000
⇒35-15x=2000[subtract 15x from both sides]
⇒20x=2000 [simplify]
⇒x=2000/20[dividing both sides with 20]
⇒x=100
∴ 100 rides are needed to break even.
Answer:
7/18
Step-by-step explanation:
²
=((2*7)+4)/7
2*7=14
14+4=18
18/7⇒7/18
This is called a difference of squares which always factors according to the rule for factoring the difference of squares....
(a^2+b^2)=(a+b)(a-b) in this case:
9w^2-16 so
(3w-4)(3w+4)
