Answer:
3
Step-by-step explanation:
The coach divides her 9-player squad into 3-player groups. This means that she has 9 players and she wants to share them into 3s.
The number sets of three groups she will have can be obtained by dividing the total number of her players by the 3. That is:
9 / 3 = 3 sets
Therefore, she will have 3 sets of 3-player groups.
Answer:
C. 67.5 to 72.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The width of the interval is determined by it's margin of error, which is given by the following formula:

So, as n increases, the margin of error decreases, and the interval gets smaller.
Using 10,000 bootstrap samples for the distribution:
We increase the sample size, which means that the interval gets smaller.
We had 67 to 73, since it got smaller, it will be from a value higher than 67 to a value lower than 73.
So the correct answer is:
C. 67.5 to 72.
Answer:
286
Step-by-step explanation:
Given : Myra asked Annabelle to buy her some perfume while she was in France. Annabelle paid 200 euros for it. Myra wants to pay Annabelle back in U.S. dollars.
To Find: If the foreign exchange rate between the U.S. dollar and the euro is 1:0.7, how much should Myra pay Annabelle?
Solution:
Since Annabelle paid 200 euros
And Myra wants to pay Annabelle back in U.S. dollars.
Let Myra paid amount to Annabelle in U.S. dollar be x
We are also given that the U.S. dollar and the euro is 1:0.7
⇒
⇒
⇒
⇒
⇒285.7≈286
Thus Myra should pay $286 to Annabelle
D= number of dimes
q= number of quarters
(Keep in mind, it's not the price, but the number of each)
0.1d+0.25q=74.35
d=q+5
0.1(q+5)+0.25q=74.35
0.35q+0.5=74.35
0.35q=73.85
q=211
d=216
Order does not matter so use "n choose k" formula is used to find number of unique combinations.
c=n!/(k!(n-k)!) where n is total possible choices and k is number of selections.
c=4!/(2!(4-2)!)
c=4!/(2!2!)
c=24/(2*2)
c=24/4
c=6
So there are 6 different two topping options when there are four different toppings to choose from.