Answer:
x=12
Step-by-step explanation:
2x-15 + 2x-6 = 15
4x = 36
x = 9
2 x 9 - 6 = 12
Answer: the arithmetic sequence is
3, 10, 17, 24
Step-by-step explanation:
In an arithmetic sequence, the consecutive terms differ by a common difference. This means that the difference between the first term and the second term must equal the difference between the second term and the third term.
Considering the following sequences,
1) 4 - 1 = 3
9 - 4 = 5
There is no common difference and so, it is not an arithmetic sequence.
2) 10 - 3 = 7
17 - 10 = 7
The common difference is 7. So it is an arithmetic sequence.
3) 6 - - 5 = 11
10 - 6 = 4
There is no common difference and so, it is not an arithmetic sequence.
4) 2 - 1 = 1
4 - 2 = 2
There is no common difference and so, it is not an arithmetic sequence.
<h3>
Answer: 50%</h3>
Explanation:
The boxplot, aka box-and-whisker plot, is a visual way to represent summary data. Each piece of the boxplot visually tells us one of the five items of a five number summary, which are:
- Min = smallest value
- Q1 = first quartile
- Median = middle most value
- Q3 = third quartile
- Max = largest value
The median is the vertical line inside the box of the boxplot. The diagram shows that the median is 25. Exactly half of the distribution is below the median, and the other half is above the median. So that means that 50% of the cars get at least 25 mpg.
Answer:
C
Step-by-step explanation:
Answer:
a) 1820 ways
b) 43680 ways
Step-by-step explanation:
When the order of the choices is relevant we use the permutation formula:
is the number of different permutations of x objects from a set of n elements, given by the following formula.
When the order of choices is not relevant we use the combination formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this problem, we have that:
(a) How many ways can this be done, if the order of the choices is not relevant?
(b) How many ways can this be done, if the order of the choices is relevant?
