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:
Step-by-step explanation:
Each year, the balance is multiplied by (1+r) where r is the annual interest rate.
(a) Balance at the end of year 1:
$6000×1.09 = $6540
(b) Balance at the end of year 2:
$6540×1.09 = $7128.60
⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒Answer:
3.8% is $1,824
Step-by-step explanation:
math
12+36=48. So, there would be 36 boys and 12 girls. Hope this helped :)
1 Yard is bigger than 35 inches
