Answer:
The probability that a car driver can complete the transaction in less than 5 minutes is 0.4647.
Step-by-step explanation:
Let <em>X</em> = times required by drivers to fill their car's tank and pay.
The average time required by drivers is, <em>β</em> = 8 minutes.
The random variable <em>X</em> is Exponentially distributed with parameter,
.
The probability distribution function of exponential distribution is:

Compute the probability that a car driver can complete the transaction in less than 5 minutes as follows:

Thus, the probability that a car driver can complete the transaction in less than 5 minutes is 0.4647.
Answer:
m∠S = 54.1°
Step-by-step explanation:
Use the law of cosines

37.21 = 10.24 + 54.76 - 47.36 cos S
-27.79 = -47.36 cos S
.586782 = cos S
arccos .586782 = S
m∠S = 54.1°
Answer:
Step-by-step explanation:
The sum of angle measures is ...
(7x +13)° +(83 -2x)° = 141°
5x +96 = 141 . . . . . collect terms, divide by °
5x = 45 . . . . . . . . . subtract 96
x = 9 . . . . . . . . . . . divide by 5
7x +13 = 7·9 +13 = 76 . . . . . find m∠J
m∠J = 76°
m∠K = 141° -76°
m∠K = 65°
Hey !!
Check the attachment.
Hence, On proper calculations ,
We get our answer as D) 713.5 m^2
Hope it helps you :)
Answer:
x=-3, x=1, x=8
Step-by-step explanation:
When you have to find the zero of an equation like (x+3) all you have to do is solve for x.
x+3=0 equal the equation to zero
x+3-3=0-3 cancel out 3
x=-3 answer
If you have to find the zero of an equation like f(x)=-2x^2 - 5x + 7 then you would have to factor the equation.
7*-2=-14 multiply
-7 & 2 find the two numbers that when multiplied =14 and when added = -5
(2x^2 + 2) (-7x + 7) replace -5 with -7 & 2
-2x (x - 1) -7 (x - 1) factor
(x - 1) (-2x - 7) rewrite
1st: x - 1 = 0
x = 1 : Answer
2nd: -2x - 7= 0
-2x - 7 + 7 = 0 + 7
-2x = 7
-2x / -2 = 7 / -2
x = 7 / -2 : Answer