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sunshine52577oyeor9
01.04.2020 •
Mathematics
PLEASE HELP ITS A UNIT 5 TEST. Total score: of 15 points
1. Create a game with compound probability, which means that it will have two events to consider. Here are some ideas for what the events could be: rolling a number cube numbered 1-6, spinning a spinner with equal red, blue, and yellow sections, picking a card from a pile with numbers 1-10, etc.
(a) For full credit write the details of your game, such as what the two events are that you have chosen. Describe in detail each event (How many numbers are on the number cube? What sections are on the spinner? Are the sections equal?). (5 points)
(b) Make a list of all the different possible outcomes you could get when you do both events. Show your work for finding the probability of each event for full credit. You may use an organized list, tree diagram, or table to consider your possibilities and show it for your work. (8 points)
(c) Is your game fair? Write a sentence telling whether or not your game is fair and explaining why or why not. (2 points)
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Ответ:
y = -1
Step-by-step explanation:
The standard form of equation of a line is y = mx+b
m is the slope
b is the y intercept
Get the coordinate of the point of interception of the line 2x - y = 9 and 3x - 7y = 19
Make y the subject of the formula in both expressions
For 2x - y = 9
- y = 9- 2x
y = 2x - 9
Similarly for 3x - 7y = 19
-7y = 19 - 3x
7y = 3x - 19
y = 3/7 x - 19/7
Equating both expressions
2x - 9 = 3/7 x - 19/7
Multiply through ny 7
14x - 63 = 3x - 19
14x - 3x = -19 + 63
11x = 44
x = 44/11
x = 4
Since y =2x - 9
y = 2(4) - 9
y = 8-9
y = -1
Hence the coordinate of intersection is at (4, -1)
Get the equation of the line passing through (-3, -1) and (4, -1)
Slope m = -1+1/4+3
m = 0/7
m = 0
Get the intercept
Substitute m = 0 and (-3, -1) into y = mx+b
-1 = 0(-3) + b
-1 = b
b = -1
Get the required equation
Recall that y = mx + b
y = 0x + (-1)
y = -1
Hence the required equation is y = -1