Answer:
99% CI: [45.60; 58.00]min
Step-by-step explanation:
Hello!
Your study variable is:
X: Time a customer stays in a certain restaurant. (min)
X~N(μ; σ²)
The population standard distribution is σ= 17 min
Sample n= 50
Sample mean X[bar]= 51.8 min
Sample standard deviation S= 27.68
You are asked to construct a 99% Confidence Interval. Since the variable has a normal distribution and the population variance is known, the statistic to use is the standard normal Z. The formula to construct the interval is:
X[bar] ±
*(σ/√n)

Upper level: 51.8 - 2.58*(17/√50) = 45.5972 ≅ 45.60 min
Lower level: 51.8 + 2.58*(17/√50) = 58.0027 ≅58.00 min
With a confidence level of 99%, you'd expect that the interval [45.60; 58.00]min will contain the true value of the average time customers spend in a certain restaurant.
I hope you have a SUPER day!
PS: Missing Data in the attached files.
Answer:
21/2
Step-by-step explanation:
(x-8)/5=2/4
step 1 you simplify if you can to make it easier
(x-8)/5=1/2
step 2 multiply each side by 5
x-8=5/2
step 3 add each side by 8
x=5/2+8
16/2+5/2=21/2
x=21/2
Answer:
99 units.
Step-by-step explanation:
The cost function for manufacturing <em>x</em> units of a certain product is:

We want to find the number of units manufactured at a cost of $8350. Therefore:

Subtract 8350 from both sides:

This equation can be a bit difficult to factor, if even possible, so we can use the quadratic formula:

In this case, a = 1, b = -15, and c = -8316. Thus:

Simplify:

Evaluate:

Therefore, our solutions are:

We cannot produce negative items, so we can ignore the second answer.
Therefore, for a cost of $8350, 99 items are being produced.
Answer:
Input : 12
Output : -48
Step-by-step explanation:
Hope it helped