Answer: 0.1357
Step-by-step explanation:
Given : Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a variance of
and a mean life span of
hours.
Here , 
Let x represents the life span of a monitor.
Then , the probability that the life span of the monitor will be more than 14,650 hours will be :-
![P(x>14650)=P(\dfrac{x-\mu}{\sigma}>\dfrac{14650-13000}{1500})\\\\=P(z>1.1)=1-P(z\leq1.1)\ \ [\because\ P(Z>z)=1-P(Z\leq z)]\\\\=1-0.8643339=0.1356661\approx0.1357](https://tex.z-dn.net/?f=P%28x%3E14650%29%3DP%28%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3E%5Cdfrac%7B14650-13000%7D%7B1500%7D%29%5C%5C%5C%5C%3DP%28z%3E1.1%29%3D1-P%28z%5Cleq1.1%29%5C%20%5C%20%5B%5Cbecause%5C%20P%28Z%3Ez%29%3D1-P%28Z%5Cleq%20z%29%5D%5C%5C%5C%5C%3D1-0.8643339%3D0.1356661%5Capprox0.1357)
Hence, the probability that the life span of the monitor will be more than 14,650 hours = 0.1357
Answer:
Tyler should buy 2 goldfishes for his fish tank,
Step-by-step explanation:
First let's find the volume of the sphere, using the following equation:

The radius is half the diameter, so the radius is 14/2 = 7 inches
Now, finding the volume, we have:


Now, we know that we need to have 1 goldfish for every 693 in3 of water, so to find the number of goldfishes, we just need to divide the volume of the sphere by 693 (and round down the result if needed):

Tyler should buy 2 goldfishes for his fish tank,
C=0.05(125000)+500
C=6250+500
C=6750
comission is $6750
Answer:
(f/g)(x) = x³ - 7x + 2
(f/g)(2) = -4
Step-by-step explanation:
To find (f/g)(x), divide f(x) by g(x). The process is shown in the attached image.
(f/g)(x) = x³ - 7x + 2
To find (f/g)(2), plug in 2 wherever there is an x.
(f/g)(x) = x³ - 7x + 2
(f/g)(2) = (2)³ - 7(2) + 2
(f/g)(2) = 8 - 14 + 2
(f/g)(2) = -6 + 2
(f/g)(2) = -4
Answer:
x ≈ 12.9
Step-by-step explanation:
In relation to the angle in this right triangle, the sides marked are the adjacent side and the hypotenuse. The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(72°) = 4/x
Multiplying by x/cos(72°), we have ...
x = 4/cos(72°)
x ≈ 12.9