Answer:
slope = 4
Step-by-step explanation:
We can find the slope of a line when knowing 2 points by using the slope formula, 
. 
and 
represent the x and y values of the first point, respectively. 
and 
represent the x and y values of the second point, respectively.
The two points we have are (2,8) and (0,0). So, in this case, = 2, = 8, = 0, and = 0. Let's substitute those values into the formula and solve to get the slope:
So, the slope is 4.
Answer:
Choice A
1/17; no, they are dependent events
============================================
Explanation:
There are 13 spades and 52 cards total. So 13/52 = 1/4 is the probability of drawing one spade
If we do not replace the card we pull out, then the probability of another spade is 12/51 since there are 12 spades left out of 51 total.
Multiply the fractions 1/4 and 12/51 to get
(1/4)*(12/51) = (1*12)/(4*51) = 12/204 = 1/17
The two events are not independent because the second event (pulling out a second spade) depends entirely on what happens in the first event (pulling out a first spade). The fact that the probability is altered indicates we have dependent events.
Answer:
a=101.223
Step-by-step explanation:
use SOCATOA
or an online calculator
https://www.calculator.net/triangle-calculator.html?vc=x&vx=z&vy=y&va=39&vz=125&vb=90&angleunits=d&x=59&y=16
Answer:
A. 0 <= x <= 8
Step-by-step explanation:
4 <= x + 4 <= 12
Remove 4 from all sides
4 - 4 <= x + 4 -4 <= 12 - 4
0 <= x <= 8
Answer:
-3
Step-by-step explanation:
When multiplying a positive number with a negative number, the product will <u>always</u> be negative. First, let's solve the problem disregarding the negative sign.
Now that we know the product of 1/4 x 12 is 3, we can assume that the product of 1/4 x -12 is -3.
