What is the ratio of the volume of Cylinder A to the volume of Cylinder B?
1 answer:
Answer:
The ratio of volume of Cylinder A to the volume of Cylinder B is 18:25.
Step-by-step explanation:
Dimension of cylinder A,
Radius is 3 units and height is 4 units.
Dimension of cylinder B,
Radius is 5 units and height is 2 units.
The volume of a cylinder is given by :
For cylinder A to B,
So, the ratio of volume of Cylinder A to the volume of Cylinder B is 18:25.
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Answer:
The positive numbers are 51 and 53
Step-by-step explanation:
Let first odd integer be x and another odd integer is (x+2).
According to the given condition,
The product of two positive consecutive odd integers is 2703 i.e.
x(x+2) = 2703
It is a quadratic equation. It can be solved as follows :
x = 51 and x = -53
Neglecting negative sign,
The first number = 51
Another number =(51+2) = 53
Hence, the positive numbers are 51 and 53.
Answer:
The 99% confidence interval for the 1999 mean incomes of Middletown householders is ($33,013.5, $33,892.5).
Step-by-step explanation:
Of the 40,000 persons, 2621 householders reported their income.
The sample size of the study is, <em>n</em> = 2621.
As the sample size is large, i.e. <em>n</em> > 30 use <em>z</em>-distribution to compute the confidence interval.
The confidence interval for mean is:
The mean of this sample is,
The standard deviation is,
The critical value of <em>z</em> for 99% confidence level is:
The 99% confidence interval for the 1999 mean incomes of Middletown householders is:
Thus, the 99% confidence interval for the 1999 mean incomes of Middletown householders is ($33,013.5, $33,892.5).