Answer:
-2 and 4
Step-by-step explanation:
Let's set the larger number to x, and the smaller to y. With these, we can set up our equations.
x = 2y + 8
x + y = 3x - 10
Now, we put the value of x into the second equation.
2y + 8 + y = 3(2y + 8) - 10
Now we can solve for y
3y + 8 = 6y + 24 - 10
3y + 8 = 6y + 14
8 = 3y + 14
-6 = 3y
-2 = y
Now that we have the smaller number, we can put it into the first equation and solve for the larger.
x = 2*-2 + 8
x = -4 + 8
x = 4
So your two numbers are -2 and 4.
Answer:
The gallons of fuel car need to travel 30 km is <u>0.75</u> approximately .
Step-by-step explanation:
Given:
The car can travel 25 miles per gallon. (1 mile = 1.6 km)
Now, we need to convert 25 miles into km .
25 miles = 25 × 1.6 km
= 40 km
So, the car can travel 40 km per gallon.
Then, we find out in 1 km how many gallons are used:



Now, we find out how much gallons of fuel will the car need to travel 30 km:
Gallons of fuel the car need to travel 30 km = 
=
.
Therefore, the gallons of fuel car need to travel 30 km is 0.75 approximately.
Answer:
a) X ~ 
b) μ = 100/3
c) 
d) A battery is expected to last 100/3 months (33 months and 10 days approximately).
e) For seven batteries, i would expect them to last 700/3 months (approximately 19 years, 5 months and 10 days).
Step-by-step explanation:
a) The life of a battery is usually modeled with an exponential distribution X ~ 
b) The mean of X is μ = 1/0.03 = 100/3
c) The standard deviation is 
d) The expected value of the bateery life is equal to its mean, hence it is 100/3 months.
e) The expected value of 7 (independent) batteries is the sum of the expected values of each one, hence it is 7*100/3 = 700/3 months.
100 times bigger
.46x100=46