Answer:
-83/51
Step-by-step explanation:
i used an app called Symbolab that solves any math problem for u
Answer:
11
Step-by-step explanation:
Answer:

And we can use the cumulative distribution function given by:

And for this case we can write the probability like this:

And then the final answer for this case would be 
Step-by-step explanation:
For this case we define our random variable X "price of gasoline for a city in the USA" and we know the distribution is given by:

And for this case the density function is given by:

And we want to calculate the following probability:

And we can use the cumulative distribution function given by:

And for this case we can write the probability like this:

And then the final answer for this case would be 
Answer:
<h2><em>
y = 8, ST = 31 and RT = 81</em></h2>
Step-by-step explanation:
Given RS = 6y+2, ST=3y +7, and RT=13y-23, the vector formula is true for the equations given; RS+ST = RT
Om substuting the expression into the formula;
6y+2+3y +7 = 13y - 23
collect the like terms
6y+3y-13y+2+7+23 = 0
-4y+32 = 0
Subtract 32 from both sides
-4y+32-32 = 0-32
-4y = -32
y = -32/-4
y = 8
Since ST = 3y+7. we will substitute y = 8 into the exprrssion to get ST
ST = 3(8)+7
ST = 24+7
ST = 31
Similarly,
RT = 13y-23
RT = 13(8)-23
RT = 104-23
RT = 81
<em>Hence y = 8, ST = 31 and RT = 81</em>
Answer:
f^-1(x) = 1/4 x - 7/4
Step-by-step explanation:
f(x)=4x+7
Inverse:
x = 4y + 7
4y = x - 7
y = 1/4 x - 7/4
Answer
f^-1(x) = 1/4 x - 7/4