Step-by-step explanation:
I've used elimination method over here but it can also be done by using substitution.
Answer:
5.00 a yard
Step-by-step explanation:
5.4 + 6.2 = 11.6
58.00 divided by 11.6 =
5
5.00 a yard
Answer:
![8.68,13.16](https://tex.z-dn.net/?f=8.68%2C13.16)
Step-by-step explanation:
Hint- First we have to calculate the mean and standard deviation of the sample and then applying formula for confidence interval we can get the values.
Mean of the sample is,
![\mu=\dfrac{\sum _{i=1}^{24}a_i}{24}=\dfrac{262}{24}=10.92](https://tex.z-dn.net/?f=%5Cmu%3D%5Cdfrac%7B%5Csum%20_%7Bi%3D1%7D%5E%7B24%7Da_i%7D%7B24%7D%3D%5Cdfrac%7B262%7D%7B24%7D%3D10.92)
Standard deviation of the sample is,
![\sigma =\sqrt{\dfrac{\sum _{i=1}^{24}\left(x_i-10.92\right)^2}{24-1}}=5.6](https://tex.z-dn.net/?f=%5Csigma%20%3D%5Csqrt%7B%5Cdfrac%7B%5Csum%20_%7Bi%3D1%7D%5E%7B24%7D%5Cleft%28x_i-10.92%5Cright%29%5E2%7D%7B24-1%7D%7D%3D5.6)
The confidence interval will be,
![=\mu \pm Z\dfrac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=%3D%5Cmu%20%5Cpm%20Z%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
Here,
Z for 95% confidence interval is 1.96, and n is sample size which is 24.
Putting the values,
![=10.92 \pm 1.96\cdot \dfrac{5.6}{\sqrt{24}}](https://tex.z-dn.net/?f=%3D10.92%20%5Cpm%201.96%5Ccdot%20%5Cdfrac%7B5.6%7D%7B%5Csqrt%7B24%7D%7D)
![=10.92 \pm 2.24](https://tex.z-dn.net/?f=%3D10.92%20%5Cpm%202.24)
![=8.68,13.16](https://tex.z-dn.net/?f=%3D8.68%2C13.16)
Confidence interval is used to express the degree of uncertainty associated with a sample.
95% confidence interval means that if we used the same sampling method to select different samples and calculate an interval, we would expect the true population parameter to fall within the interval for 95% of the time.
Answer:
(a) 1km
(b)80 fence panels
Step-by-step explanation:
(a) perimeter = 300+300= 600
200+200= + 400
=1000m
1km = 1000m
(b).
1panel = 2.5 m 1× 200÷2.5 = 80
=200m
Answer:
27in square
Step-by-step explanation:
3 multiply 3 which is 9
9 multiply 2 which is 18
add the two square together
That is how u get 27 in square