Answer:
And we can find this probability on this way:
We expect around 68.27% between the two scores provided.
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 scores 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 on this way:
We expect around 68.27% between the two scores provided.
Answer:
one cup and half which is 1.5 or 3/2
Step-by-step explanation:
Hot Dog Stand
Let
C--------> total cost of the hot dog
x-------> is the number of toppings
we know that

where
The slope of the linear equation is equal to 
The y-coordinate of the y-intercept of the linear function is equal to 
That means -------> This is the cost of the hot dog without topping
Hamburgers Stand
Let
C--------> total cost of the hamburger
x-------> is the number of toppings
we know that

where
The slope of the linear equation is equal to 
The y-coordinate of the y-intercept of the linear function is equal to 
That means -------> This is the cost of the hamburger without topping
therefore
<u>the answer is</u>
The linear equation of the hamburger cost is equal to

A. C(n)=10n+125
cost×number of buttons is equal to 10 cents times the number of buttons, plus the $125 cost of the button machine