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:
8x - 10
Step-by-step explanation:
3x - 7 + x + 2 + 3x - 7 + x + 2
8x - 10
The third quadrant are both negative numbers so the answer is B.
Answer
C
Explanation
There are no repeating numbers for x
Answer:
427.39
Step-by-step explanation:
First find out what is 7.25% of 398.50
398.50 * .0725 = 28.89
Add the 7.25% of 398.50 to 398.50
398.50 + 28.89 = 427.39