The demand that has an 8% probability of being exceeded is 38.1230 .
<h3>What is probability?</h3>
Probability is the aspect of mathematics that focus on the occurrence of a random event.
This is calculated below:
The normal random variable having the mean is been given as :
(Mu = 31.8)
The standard deviation is been given as ( sd = 4.5)
Then in making our calculation, we will need to make use of the formular below:
But we know that going with the probability of 0.08
where k = 1.4051
P (Z > 1.4051)
k = 1.4051
we can have the expression for k as ![[(X - 31.8) / 4.5]](https://tex.z-dn.net/?f=%5B%28X%20-%2031.8%29%20%2F%204.5%5D)
This can be simplified as:
X = 4.5 (1.4051) + 31.8 = 38.1230.
Therefore, the demand that has an 8% probability of being exceeded is 38.1230 .
Learn more about normal distribution on:
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Cosine 65 = 12 / x
0.4226183 = 12 / x
x = 12 / 0.4226183
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x = 28.39441</span></span></span>
So, I'd say you are correct.
Answer:
The pairs are (13,15) and (-15,-13).
Step-by-step explanation:
If n is an odd integer, the very next odd integer will be n+2.
n+1 is even (so we aren't using this number)
The sum of the squares of (n) and (n+2) is 394.
This means
(n)^2+(n+2)^2=394
n^2+(n+2)(n+2)=394
n^2+n^2+4n+4=394 since (a+b)(a+b)=a^2+2ab+b^2
Combine like terms:
2n^2+4n+4=394
Subtract 394 on both sides:
2n^2+4n-390=0
Divide both sides by 2:
n^2+2n-195=0
Now we need to find two numbers that multiply to be -195 and add up to be 2.
15 and -13 since 15(-13)=-195 and 15+(-13)=2
So the factored form is
(n+15)(n-13)=0
This means we have n+15=0 and n-13=0 to solve.
n+15=0
Subtract 15 on both sides:
n=-15
n-13=0
Add 13 on both sides:
n=13
So if n=13 , then n+2=15.
If n=-15, then n+2=-13.
Let's check both results
(n,n+2)=(13,15)
13^2+15^2=169+225=394. So (13,15) looks good!
(n,n+2)=(-15,-13)
(-15)^2+(-13)^2=225+169=394. So (-15,-13) looks good!
Answer:
Step-by-step explanation:
Discrete variables are those that can take only a finite number of values. This is not so for speed of an airplane. as it changes from time to time
Answer:
6/25
Step-by-step explanation:
6/10 chance for grey.
4/10 chance for blue.
And = Multiplication
Or = Addition
6/10 times 4/10 = 24/100
24% chance or 6/25 chance it will land on grey and blue.
(Theoretical Probability)
