Draw and upload a box plot representing the following data set: 22, 35, 18, 30, 37, 20, 40, 18, 38, 38, 23, 19, 27, 31, 34.
marshall27 [118]
See the attached image for the box plot drawing. The five number summary is given below
Min = 18
Q1 = 20
Median = 30
Q3 = 37
Max = 40
The inequality representation of the scenario is :
- 5m + 8c ≤ 25
- m = 1 and c = 1
- Number of mugs = m
- Cost per mug = $5
- Number of ground coffee = c
- Cost per ground coffee = $8
- Total amount to spend = $25
- (Number of mug × cost per mug) + (Number of ground coffee × cost of ground coffee) ≤total amount to spend
- Representing as an inequality : 5m + 8c ≤ 25
Combination of m and c that makes the inequality true :
- Using trial by error :
- m = 1 and c = 1
- 5(1) + 8(1) ≤ 25 ; 13 ≤ 25
Hence, m = 1 and c =1 are valid values for the expression.
Learn more : brainly.com/question/15748955
Answer:
see explanation
Step-by-step explanation:
The common difference d of an arithmetic sequence is
d =
-
=
- 
Substitute in values and solve for k, that is
5k - 1 - 2k = 6k + 2 - (5k - 1)
3k - 1 = 6k + 2 - 5k + 1
3k - 1 = k + 3 ( subtract k from both sides )
2k - 1 = 3 ( add 1 to both sides )
2k = 4 ⇒ k = 2
--------------------------------------------------------
The n th term of an arithmetic sequence is
=
+ (n - 1)d
= 2k = 2 × 2 = 4 and
d = 5k - 1 - 2k = 3k - 1 = (3 × 2) - 1 = 5
Hence
= 4 + (7 × 5) = 4 + 35 = 39
Answer:
Cole has 15 pencils.
Step-by-step explanation:
First, we have the equation c + o =18, c representing cole, and o representing connor.
From there, we get 5o=c
Using substitiution, we get o=3
5(3)=15
15+3=18