The answer is c alternate exterior angles
Answer:
Mean = 1.57
Variance=0.31
Step-by-step explanation:
To calculate the mean and the variance of the number of successful surgeries (X), we first have to enumerate the possible outcomes:
1) Both surgeries are successful (X=2).
2) Left knee unsuccessful and right knee successful (X=1).
3) Right knee unsuccessful and left knee successful (X=1).
4) Both surgeries are unsuccessful (X=0).
Then, the mean can be calculated as the expected value:
The variance can be calculated as:
Answer: 44%
Step-by-step explanation:
For a circle of radius R, the area is written as:
A = pi*R^2
Where pi = 3.14
If we increase the radius by 20%, the new radius will be:
R´ = R + 0.20*R = 1.20*R
The new area will be:
A´ = pi*(1.20*R)^2 = (1.20)^2*pi*R^2
= 1.44*pi*R^2
And pi*R^2 = A, the original area, then_
A´ = 1.44*A = A + 0.44*A
This means that the percentage in which the area increased is:
0.44*100% = 44%
Answer:
Step-by-step explanation:f
(
x
)
=
x
4
−
3
,
g
(
x
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=
4
x
2
+
2
x
−
4
(
f
+
g
)
(
x
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Distribute the value across the operation.
f
(
x
)
+
g
(
x
)
Evaluate
f
(
x
)
.
Tap for more steps...
x
4
−
3
Evaluate
g
(
x
)
.
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4
x
2
+
2
x
−
4
Compose the result function for
f
(
x
)
+
g
(
x
)
by replacing the function designators with the actual functions.
x
4
−
3
+
(
4
x
2
+
2
x
−
4
)
Simplify.
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4
x
2
+
9
x
4
−
7
Answer:
volume of a triangular prism: use the equation V = ½ × length × width × height, or V = the area of the base × the height and that might work with many shapes. Find the area of the base: ½ × the length and width then locate the height, and multiply the height by the area of the base.
Step-by-step explanation:
hope this helps!
