Answer:
Step-by-step explanation:
2(x-5)+2-3(5-2x)=16
2x-10+2-15+6x =16
8x-23 =16
8x =39
x = 39/8
Answer:
c. [1.771;4.245] feet
Step-by-step explanation:
Hello!
The variable of interest is
X: height of a student at UH
X~N(μ;σ²)
You have to estimate the population standard deviation using a 95% confidence interval.
The statistic to use for the interval is a student Chi-Square with n-1 degrees of freedom. First you have to calculate the CI for the population variance:
![[\frac{(n-1)S^2}{X^2_{n-1;1-\alpha /2}} ;\frac{(n-1)S^2}{X^2_{n-1;\alpha /2}} ]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B%28n-1%29S%5E2%7D%7BX%5E2_%7Bn-1%3B1-%5Calpha%20%2F2%7D%7D%20%3B%5Cfrac%7B%28n-1%29S%5E2%7D%7BX%5E2_%7Bn-1%3B%5Calpha%20%2F2%7D%7D%20%5D)


n=12
S= 2.5
![[\frac{11*6.25}{21.920} ;\frac{11*6.25}{3.816}} ]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B11%2A6.25%7D%7B21.920%7D%20%3B%5Cfrac%7B11%2A6.25%7D%7B3.816%7D%7D%20%5D)
[3.136; 18.016] feet²
Then you calculate the square root of both limits to get the CI for the population standard deviation:
[√3.136; √18.016]
[1.771;4.245] feet
I hope this helps!
42 I think I’m not really sure
Answer:
The cost of the tile for the kitchen is $1,680
Step-by-step explanation:
step 1
we know that
The scale drawing is 
The dimensions of the kitchen in the blueprint are
L=3(1/4)=3/4 in
W=5(1/4)=5/4 in
step 2
Find the actual dimensions of the kitchen
Divide the dimensions of the kitchen in the blueprint by the scale drawing
L=(3/4)/(1/16)=12 ft
W=(5/4)/(1/16)=20 ft
The area is equal to
A=(12)(20)=240 ft²
step 3
Find the cost of the tile for the kitchen
7(240)=$1,680