Answer:
x = 6, y = -2
Step-by-step explanation:
24/4 = 6
x = 6
= (5x6)+8y=14
= 8y = 14 -30
8y = -16
y = -16/8
y = -2
Check: 5x6+8x-2= 14
<u>Answer:</u>
Interpretation: A cube with sides of 4 units each has a volume of 64 units³.
<u>Explanation:</u>
As v(s) represents the volume of the cube, s represents the length of the sides.
∴ v(4) represents the volume of a cube with sides of units, and the volume is 64 units³
-15 and -42 both add to -57 and multiply to 630
Answer:
4x+16
Step-by-step explanation:
Just multiply x and 4 by 4 to get your answer.
Answer:
a) P(t>3)=0.30
b) P(t>10|t>9)=0.67
Step-by-step explanation:
We have a repair time modeled as an exponentially random variable, with mean 1/0.4=2.5 hours.
The parameter λ of the exponential distribution is the inverse of the mean, so its λ=0.4 h^-1.
The probabity that a repair time exceeds k hours can be written as:

(a) the probability that a repair time exceeds 3 hours?

(b) the conditional probability that a repair takes at least 10 hours, given that it takes more than 9 hours?
The exponential distribution has a memoryless property, in which the probabilities of future events are not dependant of past events.
In this case, the conditional probability that a repair takes at least 10 hours, given that it takes more than 9 hours is equal to the probability that a repair takes at least (10-9)=1 hour.

