Answer:
1
Step-by-step explanation:
1
Answer:
a) Frequency table:
Category Frequency
Dog 4
Cat 3
Fish 2
Hamster 1
b) Relative frequencies of each animal type
- Dog: 4/10 = 0.4
- Cat: 3/10 = 0.3
- Fish: 2/10 = 0.2
- Hamster: 1/10 = 0.1
c) Popularity
- Dog is the most popular because it has the highest relative frequency.
- Hamster is the least popular because it has the lowest relative frequency.
Explanation:
<u>a. Make a frequency table for the results.</u>
There are four kind of pets: dog, cat, hamster, and fish.
A <em>frequency table </em>shows the number of items for each category (kind of pets).
Count the number of each kind of pet:
- Dog: 4
- Cat: 3
- Hamster: 1
- Fish: 2
- Total: 10
With that you build your frequency table.
Frequency table:
Category Frequency
Dog 4
Cat 3
Fish 2
Hamster 1
<u>b. Relative frequencies of each animal type.</u>
The relative frequency is how often an outcome appears divided by the total number of outmcomes.
Here the total number of outcomes is 10 (the ten pets).
So, calculate each relative frequency:
- Dog: 4/10 = 0.4
- Cat: 3/10 = 0.3
- Fish: 2/10 = 0.2
- Hamster: 1/10 = 0.1
An important feature of the relative frequency is that they must add up 1. Check:
- 0.4 + 0.3 + 0.2 + 0.1 = 1.
<u>c. Using the relative frequencies explain which animals are most and least popular.</u>
Popularity is determined by the frequency with each outcome is repeated. The most popular is the most repeated. The least popular is the least repeated.
- Dog is the most popular because it has the highest relative frequency.
- Hamster is the least popular because it has the lowest relative frequency.
If 36x^3a+45xa^2=9a() then 9a is a factor the other factor, (), is the left side divided by 9a
(36x^3a+45xa^2)/(9a)
4x^3+5xa
So the () term is (4x^3+5xa)
Another name for take home pay is net pay
For A, divide total miles by the miles per gallon for each tire pressure to find the number of gallons of gas used:
At 30 psi: 23000 / 20.5 = 1121.95 gallons , round to 1121 gallons.
At 35 psi: 23000 / 21.1 = 1090 gallons.
Number of gallons saved: 1121 - 1090 = 31 gallons.
B) multiply the cost per gallon by the number of gallons saved:
31 gallons x $2.00 = $62.00 saved.
C) Multiply the gallons saved by 1 car by total number of cars:
31 gallons x 140 million cars = 4,340 million gallons ( 4 billion 340 million gallons)