Answer:
D)We are 95% confident that the proportion of adults (ages 17‐26) who attended college during the past 4 years and say that alcohol and drug use at their school is a big problem is between 53% and 59%.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
95% confidence interval is (0.53, 0.59).
This means that we are 95% sure that the true proportion for the population of adults who attended college who say that alcohol is a big problem is between 0.53 and 0.59. This means that the answer is given by option D.
Answer:
The class 35 - 40 has maximum frequency. So, it is the modal class.
From the given data,








MODE
- Most precisely, mode is that value of the variable at which the concentration of the data is maximum.
MODAL CLASS
- In a frequency distribution the class having maximum frequency is called the modal class.


Where,







I think it's 4x. I'm sorry if this is wrong at least I tried.
The profit function is R(x) = -0.5 (x - 50²) + 1150
- The domain of P(x) is: 0 ≤ x ≤ 150
- Profit when producing 50 items = 1150
- Profit when producing 60 items = 1100
<h3>
What is the profit function about?</h3>
Note that:
1. Profit = Revenue - cost
P (x) = 0.5 ( x - 90²) + 4050 - 40x - 100
= 0.5 ( x² - 180 + 8100 + 4050 - 40x - 100
=0.5 x² - 50x - 100
=0.5( x² - 100x) - 100
= -0.5 (x - 50²) + 1150
2. Since the minimum unit is 50.
Then x ≤ 150
X = describe the item so it need to be a negative number
Hence the domain of P(x) is: 0 ≤ x ≤ 150
3. Assume x = 50 , 60
R(50) = 1150 , R (60 ) = -0.5 (60-50)² + 1150 = 1100
4. R (x) = -0.5 (x-50)² + 1150 then 50 more unit is removed hence, Profit when producing 60 items = 1100
Therefore, The profit function is R(x) = -0.5 (x - 50²) + 1150
- The domain of P(x) is: 0 ≤ x ≤ 150
- Profit when producing 50 items = 1150
- Profit when producing 60 items = 1100
Learn more about profit function from
brainly.com/question/16866047
#SPJ1