Answer:
100
Step-by-step explanation:
9 (a - b) + 5 (2a - 2b)
mutiply the first bracket by 9
(9)(a)= 9a
(9)(-b)= -9b
mutiply the second bracket by 5
(5)(2a)=10a
(5)(-2b)= -10b
9a-9b+10a-10b
9a+10a-9b-10b ( combine like terms<em>)</em>
Answer : C. 19a - 19b
Answer:
Yes, to construct a confidence interval, it is necessary to check whether the population is approximately normal or not.
Step-by-step explanation:
The information about distribution of population is important in order to find out the sampling distribution. When we want to construct confidence interval, the accuracy of results depend on three conditions.
1. The data needs to be randomly selected.
2. The sampling distribution needs to be normally distributed
3. The observations must be independent.
So one of the conditions is to ensure that the population is normally distributed.
We know from the central limit theorem, the sampling distribution is approximately normal as long as the expected number of successes and failures are equal or greater than 10
np ≥ 10
n(1 - p) ≥ 10
When the population follows normal distribution then a small number of samples will be adequate, on the other hand, if the population is skewed then we need a greater sample size to ensure normal sampling distribution.
Therefore, it is necessary to check whether the population is approximately normal before constructing a confidence interval.
Answer:
- 3 days = 75.36%
- 1 week = 51.68%
Step-by-step explanation:
You can use the future value formula to calculate this:
Future value = Amount * (1 + rate)^ no. of periods
As there is no given amount, simply calculate using (1 + rate)^ no. of periods.
After 3 days:
= (1 + (-9%))³
= 0.753571
= 75.36%
After a week:
Week = 7 days
= ( 1 + (-9%))⁷
= 0.51676
= 51.68%
Answer:
Step-by-step explanation:
we know that
The volume of a cylinder (water pipe) is equal to
In this problem we have
-----> the radius is half the diameter
----> convert to inches