Answer:
$129
Step-by-step explanation:
$44-$27=$17 per month
$17 times 3=$51
$78 plus $51= $129 after 6 months
Answer:
56x
Step-by-step explanation:
Think of it an a triangle and a rectangle. The area of the rectangle is obviously 13 x 4x, which is 52x
for triangle, the hypotenuse is C, Right hand side is B and the side that is in the shape is B.
Area of triangle = (bh) / 2
B = 13 - 9, so B = 4
A = 6x - 4x, so A = 2x
the area is 2x x 4, which is 8x.
8x / 2 = 4x
The area is 4x + 52x, so the final answer is 56x
let's firstly convert the mixed fractions to improper fractions and then add up all four days.
![\bf \stackrel{mixed}{16\frac{3}{4}}\implies \cfrac{16\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{67}{4}}~\hfill \stackrel{mixed}{12\frac{3}{4}}\implies \cfrac{12\cdot 4+3}{4}\implies \cfrac{47}{4} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{all 4 days summed up}}{\cfrac{67}{4}+\cfrac{47}{4}}\implies \cfrac{67+47}{4}\implies \cfrac{114}{4}\implies \cfrac{57}{2}\implies 28\frac{1}{2}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B16%5Cfrac%7B3%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B16%5Ccdot%204%2B3%7D%7B4%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B67%7D%7B4%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B12%5Cfrac%7B3%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B12%5Ccdot%204%2B3%7D%7B4%7D%5Cimplies%20%5Ccfrac%7B47%7D%7B4%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Ball%204%20days%20summed%20up%7D%7D%7B%5Ccfrac%7B67%7D%7B4%7D%2B%5Ccfrac%7B47%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B67%2B47%7D%7B4%7D%5Cimplies%20%5Ccfrac%7B114%7D%7B4%7D%5Cimplies%20%5Ccfrac%7B57%7D%7B2%7D%5Cimplies%2028%5Cfrac%7B1%7D%7B2%7D)
Answer:
39.10%
Step-by-step explanation:
The given timeout distributions are:
Exp (1/10), Exp (1/12)
The equation to use is the following:
F (x) = 1 - e ^ (- a / b); x> 0
So the probability is:
P (food has not arrived after waiting 25 minutes | R) = e ^ (- 10/10) = 0.3679
P (food has not arrived after waiting 25 minutes | S) = e ^ (- 12/15) = 0.2865
So:
P (food has not arrived after waiting 25 minutes) = (food has not arrived after waiting 25 minutes | R) * P (R) + (food has not arrived after waiting 25 minutes | S) * P (S)
Replacing:
P (food has not arrived after waiting 25 minutes) = 0.3679 * 1/3 + 0.2865 * 2/3 = 0.3136
However:
P (R | food has not arrived after waiting 25 minutes) = (food has not arrived after waiting 25 minutes | R) * P (R) / P (food has not arrived after waiting 25 minutes)
P (R | food has not arrived after waiting 25 minutes) = 0.3679 * 1/3 / 0.3136 = 0.3910
It means that the probability is 39.10%
