Answer:
Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
Domain:
(
−
∞
,
∞
)
,
{
x
|
x
∈
R
}
Range:
(
0
,
∞
)
,
{
y
|
y
>
0
}
Step-by-step explanation:
Answer:
1. $3.60
2. $8.40
3. $42
Step-by-step explanation:
Hope this helps.
let's firstly convert the mixed fractions to improper fractions and then add.
![\bf \stackrel{mixed}{2\frac{7}{10}}\implies \cfrac{2\cdot 10+7}{10}\implies \stackrel{improper}{\cfrac{27}{10}}~\hfill \stackrel{mixed}{8\frac{1}{2}}\implies \cfrac{8\cdot 2+1}{2}\stackrel{improper}{\cfrac{17}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{27}{10}+\cfrac{17}{2}\implies \stackrel{\textit{using an LCD of 10}}{\cfrac{(1)27+(5)17}{10}}\implies \cfrac{27+85}{10}\implies \cfrac{112}{10}\implies \cfrac{56}{5}\implies 11\frac{1}{5}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B7%7D%7B10%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%2010%2B7%7D%7B10%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B27%7D%7B10%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B8%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B8%5Ccdot%202%2B1%7D%7B2%7D%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B17%7D%7B2%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B27%7D%7B10%7D%2B%5Ccfrac%7B17%7D%7B2%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Busing%20an%20LCD%20of%2010%7D%7D%7B%5Ccfrac%7B%281%2927%2B%285%2917%7D%7B10%7D%7D%5Cimplies%20%5Ccfrac%7B27%2B85%7D%7B10%7D%5Cimplies%20%5Ccfrac%7B112%7D%7B10%7D%5Cimplies%20%5Ccfrac%7B56%7D%7B5%7D%5Cimplies%2011%5Cfrac%7B1%7D%7B5%7D)
Answer:
0.75 = 75% probability that he will have to wait at a red light for more than 15 seconds
Step-by-step explanation:
At each second, the stoplight is equally likely to change, which means that we use the uniform probability distribution to solve this question.
Uniform probability distribution:
Has two bounds, a and b. The probability of finding a value higher than x is given by:

Red for 60 seconds
So when Jamal arrives it can change in any number of seconds between 0 and 60, that is, 
Probability that he will have to wait at a red light for more than 15 seconds?

0.75 = 75% probability that he will have to wait at a red light for more than 15 seconds