Answer:
A) 4
-4
-16
+16x
B)4
-4
-16
+16x
Step-by-step explanation:
look at picture
The answer would be 11x+2 add the7x+4= 11x and then do 3-1=2
Answer:
4.5 quarts
Step-by-step explanation:
12*1.5=18
There are 4 cups in a quart so 18/4= 4.5
Answer:
The 95% confidence interval for the proportion of college students who get 8 or more hours of sleep per night is (0.133, 0.161).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.
![\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=%5Cpi%20%5Cpm%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
In which
z is the zscore that has a pvalue of
.
For this problem, we have that:
![n = 2305, \pi = \frac{339}{2305} = 0.147](https://tex.z-dn.net/?f=n%20%3D%202305%2C%20%5Cpi%20%3D%20%5Cfrac%7B339%7D%7B2305%7D%20%3D%200.147)
95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
![\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.147 - 1.96\sqrt{\frac{0.147*0.853}{2305}} = 0.133](https://tex.z-dn.net/?f=%5Cpi%20-%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%200.147%20-%201.96%5Csqrt%7B%5Cfrac%7B0.147%2A0.853%7D%7B2305%7D%7D%20%3D%200.133)
The upper limit of this interval is:
![\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.147 + 1.96\sqrt{\frac{0.147*0.853}{2305}} = 0.161](https://tex.z-dn.net/?f=%5Cpi%20%2B%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%200.147%20%2B%201.96%5Csqrt%7B%5Cfrac%7B0.147%2A0.853%7D%7B2305%7D%7D%20%3D%200.161)
The 95% confidence interval for the proportion of college students who get 8 or more hours of sleep per night is (0.133, 0.161).
So I assume you are trying to find the equation of the line.
So you are gonna use this equation:
y=mx+b
So the x and y are your x and y coordinate pair and the m is the slope. So now you just substitute and solve for b:
4=8(7)+b
4=56+b
subtract 56 on both sides
-52=b
so now lets plug this into the equation of the line:
y=8x+(-52)
hope this helps!