Answer:
Lorenzo's score on exam was 75.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 61
Standard Deviation, σ = 8
We are given that the distribution of test score is a bell shaped distribution that is a normal distribution.
Formula:
z-score = 1.75
We have to find the value of x.
Putting values, we get
Thus, Lorenzo's score on exam was 75.
Answer: Jonathan spends more time playing video games because 3/5 of the time he is playing video games, while Lucas is only playing thirty minutes out of sixty, which simplifies into 1/2. Jonathan plays 60% of the time and Lucas plays 50%.
Step-by-step explanation:
Recall that a circle of radius 2 centered at the origin has equation
where the positive root gives the top half of the circle in the x-y plane. The definite integral corresponds to the area of the right half of this top half. Since the area of a circle with radius
is
, it follows that the area of a quarter-circle would be
.
You have
, so the definite integral is equal to
.
Another way to verify this is to actually compute the integral. Let
, so that
. Now
Recall the half-angle identity for cosine:
This means the integral is equivalent to
10 squared plus 18 squared equals C squared is the set up
After solving you should get 20.59
Based on the data provided if the customer went to the shop
and bought the potting soil and shrubs with the total bill of $94.75 and the
potting soil alone is for $11.50. We can determine the price of the shrubs in
total by deducting the 2 values. $94.75 - $11.50 = $83.25. Now that we have the
total amount of the shrubs to get the amount of each shrub we then divide the
total amount versus the number of shrubs which is 9, ergo $83.25/9 = 9.25 per
shrub.
So the answer to this question is:
D. 9p + $11.50 = $94.75 p=$9.25
