Answer:
48
Step-by-step explanation:
Prism shown: Rectangular prism
Volume of a rectangular prism = width times length times height
Given width: 4
Given height: 3
Given length: 4
Volume = 3 * 4 * 4 = 48
This object has rotational symmetry because if you made a partial turn it would still be the same all around, it doesn't have line symmetry tho because you couldn't draw a line through it and have it equal on both sides
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:
121
Step-by-step explanation:
Set up the equation 1331/x=x^2/1331
Cross multiply and simplify the answer.
