Answer: 0.0026
Step-by-step explanation:
Given: Mean : ![\mu=8.4\text{ hours}](https://tex.z-dn.net/?f=%5Cmu%3D8.4%5Ctext%7B%20hours%7D)
Standard Deviation : ![\sigma = 1.8\text{ hours}](https://tex.z-dn.net/?f=%5Csigma%20%3D%201.8%5Ctext%7B%20hours%7D)
Sample size : ![n=40](https://tex.z-dn.net/?f=n%3D40)
Formula to calculate z-score :-
![z=\dfrac{X-\mu}{\dfrac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7BX-%5Cmu%7D%7B%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
For X=7.6 hours.
![z=\dfrac{7.6-8.4}{\dfrac{1.8}{\sqrt{40}}}=-2.81091347571\approx-2.8](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B7.6-8.4%7D%7B%5Cdfrac%7B1.8%7D%7B%5Csqrt%7B40%7D%7D%7D%3D-2.81091347571%5Capprox-2.8)
![P(X](https://tex.z-dn.net/?f=P%28X%3C7.6%29%3DP%28Z%3C-2.8%29%3D0.0025551%5Capprox0.0026)
Hence, the probability that their mean rebuild time is less than 7.6 hours = 0.0026
Answer:
14
Step-by-step explanation:
f(2)=4(2)+2
f(2)=10
g(3)=2(3)-2
g(3)=6-2
g(3)=4
10+4=14
The standard joint variation is y = kxz, so we modify it for this one and get j = kgv. Since we don't know the constant, I'm assuming it's 1
This gives us j = gv, or j =10*9 = 90
Answer:
60 degrees, 70 degrees, and 110 degrees
Step-by-step explanation:
Using the fundamental counting theorem, it is found that:
a) 1296 combinations are possible.
b)
combinations are possible.
The <u>fundamental counting theorem</u> states that for n independents trials, each with
ways of being done, the total number of combinations is:
![T = n_1 \times n_2 \times ... \times n_n](https://tex.z-dn.net/?f=T%20%3D%20n_1%20%5Ctimes%20n_2%20%5Ctimes%20...%20%5Ctimes%20n_n)
Item a:
Four independent dice throws, each with six outcomes, thus:
![T = 6 \times 6 \times 6 \times 6 = 6^4 = 1296](https://tex.z-dn.net/?f=T%20%3D%206%20%5Ctimes%206%20%5Ctimes%206%20%5Ctimes%206%20%3D%206%5E4%20%3D%201296)
Item b:
n independent dice throws, each with six outcomes, thus:
![T = 6^n](https://tex.z-dn.net/?f=T%20%3D%206%5En)
A similar problem is given at brainly.com/question/24067651