Answer:
24. 40 minutes approximately
25. 8 days
Step-by-step explanation:
24. 40 minutes
Anna: 1 hour
Peter: 3 hours
Maria: 6 hours
A way to solve this kind of question is to think about how much they can perform given the same amount of time.
Anna: 1 hour x 6: 6 hours (In 6 hours Anna can clean 6 houses)
Peter: 3 hours x 2 6 hours (In 6 hours Peter can clean 2 houses)
Maria: 6 hours x 1: 6 hours (In 6 hours Peter can clean 1 house)
Working together they can clean the house 9 times faster.
It is 0.66 hours, or approximately 40 minutes
25. 8 days
It climbs 3 feet up but then it falls 2 feet down while sleeping during
the night. So the snail actually climbs 1 foot every day. It happens in the first 7 days. On the 8th day it goes out before sleep.
Answer:
The sample needed is 
Step-by-step explanation:
From the question we are told that
The margin of error is 
The confidence level is 
Given that the confidence level is 95% the level of significance is mathematically represented as
Next we obtain the critical value of 
from the z-table , the value is 
The reason we are obtaining critical value of instead of 
is because
represents the area under the normal curve where the confidence level interval (
) did not cover which include both the left and right tail while
is just the area of one tail which what we required to calculate the margin of error
The sample size is mathematically represented as
![n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \r p[1-\r p]](https://tex.z-dn.net/?f=n%20%20%3D%20%20%5B%5Cfrac%7BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%7D%7BE%7D%20%5D%5E2%20%2A%20%5Cr%20p%5B1-%5Cr%20p%5D)
Here 
is sample proportion of people that supported her and we will assume this to be 50% = 0.5
So
![n = [\frac{1.96}{ 0.08} ]^2 * [0.5 (1- 0.5)]](https://tex.z-dn.net/?f=n%20%20%3D%20%5B%5Cfrac%7B1.96%7D%7B%200.08%7D%20%5D%5E2%20%2A%20%20%5B0.5%20%281-%200.5%29%5D)
Answer;
14x-12
Explanation:
Since we are not asked what to fine, we can find the perimeter of the rectangle
Perimeter = 2(L+W)
Perimeter = 2(2x+1+5x-7)
Perimeter = 2(7x - 6)
Perimeter = 14x - 12
Hence the perimeter of the rectangle is 14x-12
exhibit population for ten integers is 15,19,19,20,20,20,21,22,22,22 mean is 20 variance is 4
Step-by-step explanation:
- Mean is helps in finding the mid point of the data.
- Variance is the variability of data it was here.
- In order to get the data straight the combination of 4 was required.
- 4 is variance one data set was 19 other had to be 22.
- As mean is 20 three means had to be 20.
- from mean 20 4 is greater then 20 and 3 is less then 20.
- 15 being the lowest it compensated the variance to 4.
- Mathematically there are many ways to do this using function.
- This is to be found out at a traditional method.
- Reducing or increase the number as it was integers.
37
180-53-90
Just subtract the 2 angles you already have by 180
