Matrix is handing out treats at a local protest to promote his new detective agency. He allows each participant to reach into hi
s bag of goodies and select a treat. Then he replaces it with the same treat and shakes the bag before offering a treat to another person. Matrix’s bag bag of goodies contains the treats below. If he allows 40 people to choose a treat from the bag, about how many lizard lollies can he expect to give away
1 answer:
Answer:
20 lizard lollies
Step-by-step explanation:
I attached the missing data.
Given the quantity of each treat below,
Swordfish sockers = 4
Lizard lollies = 10
Puffer pops = 6
From the figures above, the total number of treats is =
4 + 10 + 6 = 20
Since Martrix allows each participant to reach into his bag of goodies and select a treat, he then replaces it with the same treat and shakes the bag before offering a treat to another person. The probability a person picks lizard lollies will be:
Number of lizard lollies / total number of treats
Since the probability a person picks lizard lolllies is ½, If he then allows 40 people to choose a treat from the bag, the number of lizard lollies he can expect to give away will be:
½ * 40 = 20 lizard lollies
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Multiply the first equation by 3 to get the new system
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In other words, we have proven that the location of the airport is in fact the solution to our system.
PS: You just have to do a little algebra to get from point-slope form of the two equations to standard form. I did not show this process, but if you need it just let me know... thanks
1. slope of the line connecting airplane one and the airport: m = 2 you can see this clearly if you graph the two points. From airplane 1 location we rise 8 units and move to the right 4 units to get to the airport. Slope is defined as rise over run: so 8 divided by 4 = 2(the slope) Now substitute the slope and the point (2,4) into point-slope form of a line:
y - 4 = 2(x -4) the standard form of this equation is 2x - y = 0
2. slope of the line connecting airplane 2 and the airport: m = -
y - 9 =
x + 3y = 42
Let's write the system:
2x - y = 0
x + 3y = 42
Multiply the first equation by 3 to get the new system
6x - 3y = 0
x + 3y = 42 add these two equations to get an equation in terms of x
7x = 42 thus x = 6 and substituting this value into 2x - y = 0 we see y = 12
In other words, we have proven that the location of the airport is in fact the solution to our system.
PS: You just have to do a little algebra to get from point-slope form of the two equations to standard form. I did not show this process, but if you need it just let me know... thanks
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Step-by-step explanation:
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