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.
Answer:
(x, y) = (5, -2)
Step-by-step explanation:
A graphing calculator provides a quick and easy way to find the solution.
_____
There are several other ways to solve these equations. Or you can estimate where the answer might be using logic like this:
The intercepts of the first equation are ...
- x-intercept = 26/4 = 6 1/2
- y-intercept = -26/3 = -8 2/3
So the graph of it will form a triangle with the axes in the 4th quadrant.
The intercepts of the second equation are ...
- x-intercept = 11/3 = 3 2/3
- y-intercept = 11/2 = 5 1/2
So the graph of it will form a triangle with the axes in the 1st quadrant. The x-intercept of this one is less than the x-intercept of the first equation, so the two lines must cross in the 4th quadrant.
The only 4th-quadrant answer choice is (5, -2).
Answer:
7⅓
Step-by-step explanation:
2 ÷ 3⁄11 → 2 × 3⅔ >> 7⅓
Dividing by a fraction is the exact same as multiplying by its multiplicative inverse.
* 3⅔ = 11⁄3
* 7⅓ = 22⁄3
I am joyous to assist you anytime.
Answer:
2
Number line.
We start at -6 or -8.
If we start from -6, we will be going __ spaces to the left until we get to -8.
Or start from -8 and go __ spaces to the right until you get to -6.
Then count the spaces.
You'll get 2.
75.7 I think that is the answer
