Answer:
21/20
Step-by-step explanation:
105% as a fraction is 105/100 which can be simplified to 21/20
Answer:
k = -14
Step-by-step explanation:
We should cross-multiply
9/(k - 7) = 6 / k
9*k = 6 * (k - 7)
9k = 6k - 42
9k - 6k = -42
3k = -42
k = -14
Given:
Consider the expression is:
![13-\dfrac{x}{5}+6.2y+20.5x-\dfrac{3}{8}y](https://tex.z-dn.net/?f=13-%5Cdfrac%7Bx%7D%7B5%7D%2B6.2y%2B20.5x-%5Cdfrac%7B3%7D%7B8%7Dy)
To find:
The like terms that can be combined in this expression.
Solution:
Two terms are called like terms, if they have same variables of same degree.
We have,
![13-\dfrac{x}{5}+6.2y+20.5x-\dfrac{3}{8}y](https://tex.z-dn.net/?f=13-%5Cdfrac%7Bx%7D%7B5%7D%2B6.2y%2B20.5x-%5Cdfrac%7B3%7D%7B8%7Dy)
In the given expression, the pairs of likes terms are:
Pair 1:
and ![20.5x](https://tex.z-dn.net/?f=20.5x)
Pair 2:
and ![-\dfrac{3}{8}y](https://tex.z-dn.net/?f=-%5Cdfrac%7B3%7D%7B8%7Dy)
It means
can be combined with
and
can be combined with
.
Therefore, the correct option is C.
Answer:
- <u><em>P(M) = 0.4</em></u>
Explanation:
<u>1. Build a two-way frequency table:</u>
To have a complete understanding of the scenary build a two-way frequency table.
Major in math No major in math Total
Major in CS
No major in CS
Total
Major in math No major in math Total
Major in CS
No major in CS
Total 200
- <u>80 plan to major in mathematics:</u>
Major in math No major in math Total
Major in CS
No major in CS
Total 80 200
- <u>100 plan to major in computer science</u>:
Major in math No major in math Total
Major in CS 100
No major in CS
Total 80 200
- <u>30 plan to pursue a double major in mathematics and computer science</u>:
Major in math No major in math Total
Major in CS 30 100
No major in CS
Total 80 200
- <u>Complete the missing numbers by subtraction</u>:
Major in math No major in math Total
Major in CS 30 70 100
No major in CS 100
Total 80 120 200
Major in math No major in math Total
Major in CS 30 70 100
No major in CS 50 50 100
Total 80 120 200
<u>2. What is P(M), the probability that a student plans to major in mathematics?</u>
- P(M) = number of students who plan to major in mathematics / number of students