Answer:
1 : 20 20 students for every 1 teacher
Step-by-step explanation:
divide both sides by 12
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: C)27:1
Step-by-step explanation:
Given, Kent has two similar cylindrical pipes, Pipe A and Pipe B. The radius of Pipe A is 6 cm, and the radius of Pipe B is 2 cm.
Volume of cylinder =
, where r= radius and h = height.
Also, If two figures are similar then ratio of volume is equal to the cube of any dimension .
The ratio of the volume of Pipe A to the volume of Pipe B is given by :-

Thus, the ratio of the volume of Pipe A to the volume of Pipe B = 27:1
So, the correct option is C)27:1.
890×(1+0.187÷12)^(12)−890×(1+0.125÷12)^(12)=63.61....answer
Answer: An error was made! All correlation coefficients: -1 ≤ r ≤ 1.