Answer:
d
Step-by-step explanation:
Answer:
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 and the normal standard table and we got:
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 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 and the normal standard table and we got:
Plug it into a graphing calculator and see where the function crosses the x-axis. Since it’s a quadratic it will cross it two times but one of the answers is negative—obviously it wouldn’t take negative second to hit the ground. It should take 9 seconds for the object to hit the ground.
If the exponential function
passes through the points (3,25) and (8,10), the value of b is 0.833
The given exponential equation is:

The function passes through the points (3, 25) and (8, 10)
Substitute x = 3 and y = 25 into the function 
............................(1)
Substitute x = 8 and y = 10 into the function 
.............................(2)
Divide equation (2) by equation (1)

Therefore, if the exponential function
passes through the points (3,25) and (8,10), the value of b is 0.833
Learn more on exponential functions here: brainly.com/question/12940982
Let
x-------> the number of fiction books
y-------> the number of nonfiction books.
we know that
-----> equation 
-----> equation 
Add equation
and equation 
<u>find the value of y</u>



therefore
<u>the answer is</u>
Part a) the number of fiction books is 
Part b) the number of nonfiction books is 