Given a data on the relationship between the number of students that have ever gone snowboarding and <span>the number of students that own a skateboard.</span>
Given from the survey that <span>35
of the 99 students who own a skateboard have snowboarded and there
were 13 students who have snowboarded but do not own a skateboard, and
147 students who have never gone snowboarding and do not own a
skateboard.
We represent the above information in a two</span> way frequency table.
Have Snowboarded Never Snawboarded Total
Skateboard 35 64 99
No Skateboard 13 147 160
Total 48 211 259
In order to solve for parallel, perpendicular, or neither, you have to look at the slope.
If the slope is the same for both equations, it is most likely parallel.
If it's the reciprocal (Where you flip the number and add change the signs. For example, the reciprocal of 1/2 is -2)
If the slope is not the same or the reciprocal, then it is neither.
So for the first equation, your slope is:
3x+2y=6
2y=-3x+6
y=-3/2x+3 The equation y=mx+b can help you here, where m is the slope.
Your slope is -3/2
For the second equation, your slope is -3/2 since y=-3/2x+5 is already in y=mx+b form and m is the slope.
Since both slopes are -3/2, then you have parallel equations!
(Be careful though, sometimes it will have the same slope but there will also be the same y-intercept. If that happens, it's no longer parallel, but it's the same equation. Such as y=-3/2x+1 and y=-3/2x+1. In this case there will be infinite solutions, but parallel equations have no solutions.)
I hope this helps!! Please ask if you have more questions!
Answer:
a) c = (5/100)*d
b) c = 0.05*d
c) The ratio between what Lee recieves and what he sold.
d) d = 2000
Step-by-step explanation:
Since Lee earns 5% in commission for each sale then:
a) c = (5/100)*d
b) c = 0.05*d
c) In this context the constant of proportionality means the ratio of the value Lee sold that he'll earn as a comission.
d) Since he wants to earn $100, then c = 100 and we solve for d
c = 0.05*d
100 = 0.05*d
0.05*d = 100
d = 100/0.05 = $2000
He needs to sell $2000.
$520
First, you multiply 26 by 4.
Then you multiply the product (104) by 5.
Answer:
f(-1) = 3
General Formulas and Concepts;
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 9(3)ˣ
x = -1
<u>Step 2: Solve</u>
- Substitute: f(-1) = 9(3)⁻¹
- Evaluate: f(-1) = 9(1/3)
- Multiply: f(-1) = 9/3
- Divide: f(-1) = 3
