Answer:
The best estimate of the number of times out of 39 that Ariana is on time to class is 27.
Step-by-step explanation:
For each class, there are only two possible outcomes. Either Ariana is on time, or she is not. The probability of Ariana being on time for a class is independent of other classes. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:

The probability that Ariana is on time for a given class is 69 percent.
This means that 
If there are 39 classes during the semester, what is the best estimate of the number of times out of 39 that Ariana is on time to class
This is E(X) when n = 39. So

Rounding
The best estimate of the number of times out of 39 that Ariana is on time to class is 27.
Answer:
200 miles
Step-by-step explanation:
Set up a cost equation for each plan using x for miles.
Set the equations equal.
Solve for x, the miles.
For a 1 day rental.
Plan A:
C = 0.18x + 30
Plan B:
C = 66
0.18x + 30 = 66
0.18x = 36
x = 36/0.18
x = 200
Answer: 200 miles
We use the tangent for this
tan 26 1 = opposite / adjacent = h / 205 where h = height of cliff
h = 205 tan 26 1 = 100 feet
Answer:
The equation of the line of best fit is: y = -2.33x + 591.78
The correlation coefficient is: -0.99
There is a strong negative correlation
Step-by-step explanation:
The negative correlation is seen in the sign of the correlation coefficient, which is negative.
The correlation is strong because the absolute value of the correlation coefficient (0.99) is near to one
Answer:
ice cream no of tasters relative frequency
Strawberry 4 0.2
Choco Nuts 12 0.6
orange mints 4 0.2
Find chart as attached
Step-by-step explanation:
Wagenlucht Ice Cream Company is always trying to create new flavors of ice cream. They are market testing three kinds to find out which one has the best chance of becoming popular. They give small samples of each to 20 people at a grocery store. 4 ice cream tasters preferred the Strawberry Cream, 12 preferred Choco- Nuts, and 4 loved the Orange Mint. Construct a Pareto chart to represent these preferences. Choose the vertical scale so that the relative frequencies are represented.
ice cream no of tasters relative frequency
Strawberry 4 0.2
Choco Nuts 12 0.6
orange mints 4 0.2
relative frequency is frequency over the total frequency