Answer:
Step-by-step explanation:
Given a data set consisting of 33 unique whole number observations, its five-number summary is: [19,32,47,61,77] how many observations are strictly less than 32?
Solution: The five number summary denotes:
Minimum = 19
First Quartile = 32
Median = 47
Third Quartile = 61
Maximum = 77
Since there are an odd number of observations (33) in the data set, the First Quartile (32) must be at the (33+1)/4 = 8.5th position, meaning there are 7 numbers less than 32.
Therefore, there are 7 observations that are strictly less than 32
Ratio of red roses to yellow roses as given in the question = 4:6
Total number of roses in the question = 50
Let us assume that the common ratio is = x
Then
4x + 5x = 50
10x = 50
x = 50/10
= 5
Then
The number of yellow roses = 6 * 5
= 30
So there are 30 yellow roses among the total of 50 roses. I hope the procedure is simple enough for you to understand. You can use this procedure for solving similar type of problems in future. I hope this has helped you.
Answer:
$54
Step-by-step explanation:
Convert 20% into decimal which is .20
$45x.20= $9
so 9 dollars was the tip. So you add the bill to the tip
$45+$9=$54
