A full rotation is 360 degrees, divide 360 by the rotation given in the problem:
360 / 120 = 3
A triangle has 3 inside angles, so the answer would be an equilateral triangle.
Let x be the length of the edge of the original cube. When increased to twice its original size it becomes 2 x which gives a volume of
2x × 2x × 2x = 8x³
The volume is known. Hence
8x³ = 64,000
x³ = 8,000 which gives x = 20
<span>The area of one face of the original (before the increase) is given by x2</span>
x² = 20² = 400 square centimeters
Answer:
The probability is 0.0005.
Explanation:
The stated question is incomplete. The complete question is as follows.
<em>A manufacturer is developing a new type of paint. Test panels were exposed to various corrosive conditions to measure the protective ability of the paint. Based on the results of the test, the manufacturer has concluded that the mean life before corrosive failure for the new paint is 155 hours with a standard deviation of 27 hours. If the manufacturer's conclusions are correct, find the probability that the paint on a sample of 65 test panels will have a mean life before corrosive failure of less than 144 hours. </em>
The mean life is 155 hours. Hence, μ = 155.
The standard deviation is 27 hours. Hence, σ = 27.
The sample size in 65 test panels. Hence, n = 65.
We can use the central limit theorem to find the probability that the mean life before corrosive failure is less than 144 hours. By the central limit theorem:
P(X < 144) = P[(X - μ) / (σ / √n) < (144 - 155) / (27/√65)]
P(X < 144) = P(Z < -3.2846)
Using the Z-value table for normal distribution, this value turns out to be:
P(X < 144) = 0.0005
3r = 45/x= 45/x= 45
r = 45/3 = 15 mph
The speed of PandD = 15 mph
Answer:
C
Step-by-step explanation:
EASY IVE DONE IT