Answer:
Where
and 
We are interested on this probability

And the best way to solve this problem is using the normal standard distribution and the z score given by:

If we apply this formula to our probability we got this:
And we can find this probability using the complement rule:

Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where
and 
We are interested on this probability

And the best way to solve this problem is using the normal standard distribution and the z score given by:

If we apply this formula to our probability we got this:
And we can find this probability using the complement rule:

Answer:
500
Step-by-step explanation:
3000 divided by 6
Hope this helped, sorry if I'm wrong!
Y +6 =(1/2)(x+4)
y +6 = 1/2 x +2
y=1/2 x - 4
or 1/2 x -y = 4
Answer:
Defining variable: x = per week
Equation: 37 + 6.5x = 9 + 8.25x
Answer: 16 weeks
Step-by-step explanation:
x = per week
Jack:
37 + 6.5x
Diane:
9 + 8.25x
Equation:
37 + 6.5x = 9 + 8.25x
-1.75x = -28
x = 16
Answer:
1/10 of an hour.
Step-by-step explanation:
Lola rode her bike for 7/10 of an hour on Saturday.
She rode for 3/5 of an hour on Sunday.
On Saturday she rode
-
= 1/10 of an hour more.