Hello from MrBillDoesMath!
Answer:s:
For #18, see attachment, "Scatterplot_18", where the data is plotted. It looks like choice J -- no association-- is the correct answer.
For #14 it looks like you had some confusion but are on the right track. The formula for compound interest is Amount = P(1+r)^n, where P if the Principal (initial investment), r is the yearly rate, and "n" is the number of years invested. In your case,
A = 1000 ( 1 + .02)^3 => as 2% = 2/100 = .02; n = 3 as money
invested for three years
A = 1000 (1.061208) =
$1061.21
This is the same answer you got but is NOT one of the choices. Hmmm.....
Thank you,
MrB
Answer:
56
Step-by-step explanation:
Here, n = 8, r = 3
![\huge \orange{ \because \: ^nC_r = \frac{n!}{r!(n - r)!} } \\ \\ \huge \therefore \: ^8C_3 = \frac{8!}{3!(8 - 3)!} \\ \\ \huge \therefore \: ^8C_3 = \frac{8 \times 7 \times 6 \times 5!}{3 \times 2 \times 1 \times 5!} \\ \\ \huge \red{ \boxed{\therefore \:^8C_3 = \purple{56}}}](https://tex.z-dn.net/?f=%20%5Chuge%20%5Corange%7B%20%5Cbecause%20%5C%3A%20%5EnC_r%20%3D%20%20%5Cfrac%7Bn%21%7D%7Br%21%28n%20-%20r%29%21%7D%20%7D%20%5C%5C%20%20%5C%5C%20%20%5Chuge%20%5Ctherefore%20%5C%3A%20%5E8C_3%20%3D%20%20%5Cfrac%7B8%21%7D%7B3%21%288%20-%203%29%21%7D%20%5C%5C%20%20%5C%5C%20%20%5Chuge%20%5Ctherefore%20%5C%3A%20%5E8C_3%20%3D%20%20%5Cfrac%7B8%20%5Ctimes%207%20%5Ctimes%206%20%5Ctimes%205%21%7D%7B3%20%5Ctimes%202%20%5Ctimes%201%20%5Ctimes%205%21%7D%20%20%5C%5C%20%20%5C%5C%20%20%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%5Ctherefore%20%5C%3A%5E8C_3%20%3D%20%20%20%5Cpurple%7B56%7D%7D%7D)
Answer:
Step-by-step explanation:
perimiter=2(Length+Width)
P=2(L+W)
solve for L
distribute
P=2L+2W
minus 2W
P-2W=2L
divide by 2
\frac{P-2W}{2}=L
given that P=34 units and W=6.5 units
\frac{34-2(6.5)}{2}=L
the equation would be L=p2w/2 or L= p/2=w
B'(-0.5, 1) are the new coordinates for B after the dilation.
1 video game = 4.75
1 movie = x
4.75 + 3x = 11.50
-4.75 -4.75
______________
3x = 6.75
(3x = 6.75) ÷ 3
x = 2.25
Jessica paid $2.25 for each movie she rented.