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:
a=11
Step-by-step explanation:
a=m2 +2
a= (-3)2+2
a=9+2
a=11
Answer:
See below
Step-by-step explanation:
<em>On the graphs we see transformations of exponential functions</em>
<h3>Graphic 1 = Horizontal shift </h3>
- f(x) = 2ˣ is the parent function
- g(x) = 2ˣ⁺³ indicates shift to the left by 3 units
- h(x) = 2ˣ⁻¹ indicates the shift to the right by 1 unit
<h3>Graphic 2 =Vertical shift</h3>
- p(x) = (1/3)ˣ is the parent function
- r(x) = (1/3)ˣ⁺³ indicates shift up by 3 units
- q(x) = (1/3)ˣ⁻² indicates the shift down by 2 units
Answer:
A)0.86
B)0.99
C)6.047E-13
Step-by-step explanation:
Since p = 0.01 and q= 0.99
Number of event n = 15
Using binomial expansion
A) Probability (No samples are mutated) = 15C0 (p)^0 * (q)^15
= 1*(0.01)^0*(0.99)^15 = 0.86
B)Probability (At most one sample is mutated) = 15C0 * p^0 *q^15 + 15C1 * p^1 * q^14 = 1*(0.01)^0*(0.99)^15 + 15C1 * 0.01 * 0.99^14 = 0.86 + 15*0.01*0.8687 = 0.86 + 0.13 = 0.99
C) Probability (More than half the samples are mutated) = 15C8* 0.01^8 * 0.99^7 + 15C9* 0.01^9 * 0.99^6 +15C10* 0.01^10 *0.99^5 + 15C11 * 0.01^11 * 0.99^4 + 15C12 * 0.01^12 * 0.99^3 + 15C13 * 0.01^13 * 0.99^ 2 + 15C14 * 0.01^14 * 0.99^1 + 15C15 * 0.01^15 * 0.99^0
Probability (More than half the samples are mutated) = 6E-13 + 4.71E-15 + 2.86E-17 + 1.31E-19 + 4.41E-22 + 1.03E-24 + 1.49E-27 + 1E-30 = 6.047E-13
Even means g(-x)=g(x)
replace x with -x and see if it simplifies to original functin
g(-x)=(-x-1)²+1
g(-x)=((-1)(x+1))²+1
g(-x)=(x+1)²+1
nope
g(x)=2x²+1
g(-x)=2(-x)²+1
g(-x)=2x²+1
yep
we are done
answer is 2nd one
