Answer:
c
Step-by-step explanation:
according to PEMDAS you should always do whats inside the parentheses first, then you'll multiply the parentheses by 5
In all right triangles, the ratio between a leg and the hypothenuse is the sine of the angle opposite to the leg.
So, in your case, we have
In order to find XY, we have
So, the ratio for the sine is
Answer:
For a height of 66 inches, Z = 0.65.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation , the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The average height was about 64.3 inches; the SD was about 2.6 inches.
This means that
66 inches:
The z-score for a height of 66 inches is:
For a height of 66 inches, Z = 0.65.
Answer:
277 591.1 ft³
Step-by-step explanation:
First, use the formula for circumference to solve for the diameter.
Circumference = πd
295.3 = πd
295.3/π = d
94 ft = d
Then, divide the diameter by 2 to find the radius.
r = d/2
r = 94/2
r = 47 ft
Now, use the value of the radius with the given height in the formula for volume of a cylinder.
V = πr²h
V = π(47²)(40)
V = 277 591.1 ft³
Answer:
x, y, 4, 0
Step-by-step explanation:
To determine the inverse of the given function change f(x) to y switch <u><em>x</em></u> and y and solve for <u><em>y</em></u>.
f(x) = sqrt(x - 4)
y = sqrt(x - 4)
x = sqrt(y - 4)
x^2 = y - 4
x^2 + 4 = y
y = x^2 + 4
The domain of the inverse is the same as the range of the original function.
inverse f(x) = x^2 + 4
x^2 + 4 >= 4
x^2 >= 0
x >= 0
The resulting function can be written as inverse f(x) = x^4 + <u><em>4</em></u>, where x >= <u><em>0</em></u>.