Answer:
1. 4 categories are shown in the rows.
2. 2 categories are shown in the columns.
3. The number of 14 year olds that consider winter their favorite season is 12.
4. Total number of people polled is 82.
Step-by-step explanation:
The question is to test the ability of a student to group data using a frequency table accurately, and make appropriate deductions from it. Consider the attachment for the accurate table required to answer the given questions.
If the given information is grouped as required, thus the answers to the questions are:
i. 4 categories are shown in the rows.
ii. 2 categories are shown in the columns.
iii. The number of 14 year olds that considers winter their favorite season is 12.
iv. Total number of people polled is 82.
Answer:
<h2>The standard form: x² + (y + 1)² = 25</h2><h2>The general form: x² + y² + 2y - 24 = 0</h2>
Step-by-step explanation:
The equation of a circle:
(h, k) - center
r - radius
We have the center (0, -1) and the radius r = 5 <em>(look at the picture)</em>.
Substitute:
<em>use (a + b)² = a² + 2ab + b²</em>
<em>subtract 25 from both sides</em>
Let the value of the car be represented by V and the amount of years by y.
This gives us the following formula:
V = 25,635 - 3000y
(This is because we start with a value of $25,635 and the value decreases by $3,000 every year 'y')
Now, we want to know when the car is worth $3,135, so we know V = 3,135
Now we can make up our equation:
25,365 - 3,000y = 3,135
Collecting terms gives us:
-3,000y = -22,500
Finally we divide by -3,000 to find 'y'
y = -22,500 / -3,000 = 7.5
Hence, the car will be worth $3,135 after 7.5 years.
Answer:
62.83 in
Step-by-step explanation:
C is circumference
r is the radius
We sum up both, given first one radius is 2 and second one radius is 8, so we have:
The length of the belt should be around 62.83 in
