Answer:
2,258
Step-by-step explanation:
4 words = $0.31
= 
cross multiple and solve for x
0.31x = (175)(4)
x = about 2,258
Answer:
800%
Step-by-step explanation:
<u>Volume of a square based pyramid</u>

where:
- a = base side length
- h = height
<u>Given values</u> for Pyramid A:
- a = 14 inches
- h = 6 inches
Substitute the given values into the formula to find the volume of <u>Pyramid A</u>:

Given:
- Volume of Pyramid B = 3136 in³
To find how many times bigger Pyramid B is than Pyramid A, divide the <u>volume of Pyramid B</u> by the <u>volume of Pyramid A</u>:

Therefore, the volume of Pyramid B is 8 times bigger than the volume of Pyramid A.
8 as a percentage is 800%, since 800/100 = 8.
Therefore, the volume of Pyramid B is 800% the volume of Pyramid A.
To verify this, find 800% of the volume of Pyramid A:
⇒ 800% of 392
= 800/100 × 392
= 8 × 392
= 3136
Answer:
(8, 0) is the x-intercept
(0, 2) is the y-intercept
Step-by-step explanation:
The y-intercept = 2 since the equation is in slope-intercept form.
The x-intercept occurs when y = 0
So, 0 = -1/4x + 2
0 = -x + 8
x = 8
(8, 0) is the x-intercept
(0, 2) is the y-intercept
The relation maps a unique output value to each input value. It is a function.
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.