7 is option C
8 is option A
Answer: 0.22
Step-by-step explanation:
We know that the best point estimate for the difference between two population mean is the difference between their sample means.
Given : For the 39 randomly selected upperclassmen, the sample mean was 0.12 and sample standard deviation was 0.42. For the 35 randomly selected underclassmen, the sample mean was 0.34 and the sample standard deviation was 0.87.
Let A denotes the population of upperclassmen and B denotes the population of underclassmen .
![\overline{x}_A=0.12](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D_A%3D0.12)
![\overline{x}_B=0.34](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D_B%3D0.34)
Then, the point estimate of the difference in the population mean volunteered between underclassmen and upperclassmen will be :-
![\overline{x}_B-\overline{x}_A=0.34-0.12=0.22](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D_B-%5Coverline%7Bx%7D_A%3D0.34-0.12%3D0.22)
Hence, the point estimate of the difference in the population mean volunteered between underclassmen and upperclassmen =0.22
ANSWER
(–4.5, 4.25)
EXPLANATION
The first equation is
![y = - \frac{5}{2}x - 7](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B5%7D%7B2%7Dx%20-%207)
This function is in the slope-intercept form
The second equation is:
x + 2y = 4
2y =-x+ 4
![y = - \frac{1}{2}x + 2](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B2%7Dx%20%2B%202)
The graph of the two functions are shown in the attachment.
The point of intersection represents the solution to the system of equations they represent.
The solution is
(–4.5, 4.25)
Answer:
See below
Step-by-step explanation:
100 ft in 4 min = 25 ft/min
125 feet in 5 min = 25 ft min
so the height is d = 25 * m d = height m = minutes
25* 8 = 200 feet
Leading coefficient = -3
Constant = 2
When you order them in standard form, you need to put them in ascending order of the exponents. Therefore the -3x^2 would come first, which makes the number attached (-3) the lead coefficient.
Also, since the number (2) without an x attached would be last (due to the power of x technically being 0), than that is the constant.