Answer:
35mc
Step-by-step explanation:
4x+(-3)=-2x-5
4x-3 = -2x-5
add 2x to each side
6x-3 =-5
add 3 to each side
6x = -2
divide by 6
x = -2/6
divide top and bottom by 2
x = -1/3
<em><u>An inequality that shows the distance Johnathan could of ran any day this week is:</u></em>
<em><u>Solution:</u></em>
Let "x" be the distance Johnathan can run any day of this week
Given that,
Johnathan ran 5 days this week. The most he ran in one day was 3.5 miles
Therefore,
Number of days ran = 5
The most he ran in 1 day = 3.5 miles
Thus, the maximum distance he ran in a week is given as:
The maximum distance he ran in a week is 17.5 miles
If we let x be the distance he can run any day of this week then, we get a inequality as:
If we let y be the total distance he can travel in a week then, we may express it as,
Answer:
a). The mean = 1000
The variance = 999,000
The standard deviation = 999.4999
b). 1000 times , loss
Step-by-step explanation:
The mean of geometric distribution is given as ,
And the variance is given by,
Given :
= 0.001
The formulae of mean and variance are :
a). Mean =
=
= 1000
Variance =
=
= 999,000
The standard deviation is determined by the root of the variance.
= = 999.4999
b). We expect to have play lottery 1000 times to win, because the mean in part (a) is 1000.
When we win the profit is 500 - 1 = 499
When we lose, the profit is -1
Expected value of the mean μ is the summation of a product of each of the possibility x with the probability P(x).
= $ 0.50
Since the answer is negative, we are expected to make a loss.