Sum of n terms = a1 (r^n-1/ (r-1)
Sum of first one = 3 * (4^5 - 1) / 3 = 1023
.. 2nd = 5 * (6^2 - 1) / 5 = 35
.. 3rd = 5 ^4 - 1 / 4 = 156
.. 4th = 4 * (5^4 - 1) / 4 = 624
So in increasing order its 2nd, 3rd, 4th and first.
5670 seconds = 5670/3600 = 1.575 hours !!!
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
If you choose a blue marble first its the probability of 3/12 simplified to 1/3 and then the probability of choosing a red next is 5/11 as you didnt replace the one blue marble
Matt caught more pounds of fish.
Step-by-step explanation:
Given,
Fish caught by Luke = 4
Weight of each fish = 7/8 of a pound
Weight of 4 fish =
pounds
Weight of 4 fish = 3.5 pounds
Fish caught by Matt = 6
Weight of each fish = 3/4 of a pound
Weight of 6 fish = ![\frac{3}{4}*6](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%2A6)
Weight of 6 fish = ![\frac{18}{4}=4.5\ pounds](https://tex.z-dn.net/?f=%5Cfrac%7B18%7D%7B4%7D%3D4.5%5C%20pounds)
Therefore,
Matt caught more pounds of fish.
Keywords: fraction, division
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