Statistics: Find these statistics

1)Sarah has an average of 92.5 for her 3 sciences tests. What does she need to make on her 4th test to get a 94% average?

2) The Pep Club is selling flower arrangements with a choice of 4 different kinds of flower, 3 kinds of greenery, and with or without babies breath. How many different flower arrangements do they offer?

3)The athletic director has 6 trophies won by school teams this year, but only enough space in the trophy case to display 3 at a time. How many different ways can he display the trophies if order is important?

ManuelBautista2019
Apr 10, 2018

#1**+1 **

1)Sarah has an average of 92.5 for her 3 sciences tests. What does she need to make on her 4th test to get a 94% average?

This is easy....she needs 94 (4) = 376 total points

So far....she has 92.5 (3) = 277.5 points

So...she needs 376 - 277.5 = 98.5 points on the 4th test

2) The Pep Club is selling flower arrangements with a choice of 4 different kinds of flower, 3 kinds of greenery, and with or without babies breath. How many different flower arrangements do they offer?

I'm taking a guess as to what is meant here, Manuel...but...I believe the answer is 4 * 3 * 2 = 24 diferent arrangements

3)The athletic director has 6 trophies won by school teams this year, but only enough space in the trophy case to display 3 at a time. How many different ways can he display the trophies if order is important?

If order is important we have an arrangement in each possible set....this indicates a permutation...so we want to choose any 3 of the 6 trophies ans pay attention to their arrangement...so the answer is:

P(6,3) = 120 ways

CPhill
Apr 10, 2018