Answer:
0.99865
Step-by-step explanation:
The question above is modelled by gaussian distribution. Gaussian distribution is also known as Normal distribution.
To solve the above question, we would be using the z score formula
The formula for calculating a z-score
z = (x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
In the above question,
x is 115 liters
μ is 100
σ is the population standard deviation is unknown. But we were given variance in the question.
Standard deviation = √Variance
Variance = 9
Hence, Standard deviation = √9 = 3
We go ahead to calculate our z score
z = (x-μ)/σ
z = (115 - 100) / 3
z = 15/ 3
z score = 5
Using the z score table of normal distribution to find the Probability of having a z score of 5
P(x = 115) = P(z = 5) =
0.99865
Therefore the probability that this year it will produce 115 liters of wine = 0.99865
Answer is B, but please study for your future you don’t need help from others trust me just study for 2 hours a day that will help you to develop some skills and make brainiest that’s mean you will develop some brain cells that you
Answer:
6/45 and 20/45
Step-by-step explanation:
The least common denominator is the least common multiple (LCM) of 9 and 15.
The factors of those numbers are ...
9 = 3·3
15 = 3·5
The LCM is the product of the unique factors to their highest powers:
3·3·5 = 45
__
To make 2/15 have a denominator of 45, we need to multiply by 3/3:
2/15·3/3 = 6/45
To make 4/9 have a denominator of 45, we need to multiply by 5/5:
4/9·5/5 = 20/45
The desired fraction pair is 6/45 and 20/45.
I guess you mean 4/5 and 3/5
this is a right angled triangle with side 3-4-5 so 5 is the hypotenuse
sin x = opp / hyp = 4/5 so the opposite side is 4
cos x = adj/hyp = 3/5 so the adjacent side = 3
so tan x = opp/adj = 4/3
