Step-by-step explanation:
Since we can get some information from this. First of all is defined as . So the adjacent side is 3 and the hypotenuse is 4. Using this we can find the opposite side to find to calculate csc and cot of theta. So using the Pythagorean Theorem we can solve for the missing side. Also I forget to mention we have to calculate the sign of the adjacent side and the hypotenuse. Since you're given that the angle is in quadrant 2, that means the x-value is going to be negative, and the y-value is going to be negative. And the x really represents the adjacent side and the y represents the opposite. So the adjacent side is what's negative. and the opposite is positive
Pythagorean Theorem:
So now we can calculate .
Now to calculate the exact value of csc you simply take the inverse. This gives you . Multiplying both sides by sqrt(7) to rational the denominator gives you .
Now to calculate cot(theta) you find the inverse of tan. Tan is defined as . So all you do is take the inverse which is .
Plug values in
Keep, change, flip
Multiply:
Multiply both sides by sqrt(7)
This is the value of cot(theta)
Answer:
A
Step-by-step explanation:
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
Answer:
L = 16oz
M = 12oz
S = 8oz
Step-by-step explanation:
8 large equal to 128oz ( 8 x 16 = 128 )
4 medium equal to 48oz ( 4 x 12 = 48
4 large equal to 64oz ( 4 x 16 = 64
12 medium equal to 144oz ( 12 x 12 = 144 )
Total of oz equal 384oz
384 - 80 = 304/80 = 3.8
3 more bowl of 80oz and 5 Mcup and 1/2 Scup