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Zarrin [17]
2 years ago
13

in a recent semester at a local university 520 students enrolled in both general chemistry and calculus 1. Of these students 88

received an A in general chemistry 76 received an A in calculus, and 31 received an A in both general chemistry and calculus. Find the probability that a randomly chosen student received an A in general chemistry or calculus or both?
Mathematics
1 answer:
IceJOKER [234]2 years ago
6 0

Let Ch and C denote the events of a student receiving an A in <u>ch</u>emistry or <u>c</u>alculus, respectively. We're given that

P(Ch) = 88/520

P(C) = 76/520

P(Ch and C) = 31/520

and we want to find P(Ch or C).

Using the inclusion/exclusion principle, we have

P(Ch or C) = P(Ch) + P(C) - P(Ch and C)

P(Ch or C) = 88/520 + 76/520 - 31/520

P(Ch or C) = 133/520

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an algebra teacher drove by a farmyard full of chickens and pigs.the teacher happened to notice that there were a totals of 100
LiRa [457]
I'll be honest, this is a pretty interesting question. I've never seen anything like it before!

We can start off by making equations with the given. If there are 100 heads, that means that the total number of chickens and pigs combined is 100. Thus, we can form our first equation:

p + c = 100
('p' represents number of pigs, and 'c' represents number of chickens)

We also know that there are 270 legs total. Since chickens have 2 and pigs have 4, we can make the following equation:
2c + 4p = 270

I suppose the quickest way to solve for this equation is to use the subtraction method. Put the equations on top of each other:

2c + 4p = 270
c + p = 100
___________
Multiply the bottom equation by -2;

2c + 4p = 270
-2c -2p = 100
____________
"Add" these two equations together:

2c + 4p = 270
-2c -2p = -200
___________
2p = 70

Divide both sides by 2:
p = 35

Ah, finally. Now that we know that there are 35 pigs, input this variable into the first equation to find the number of chickens:

c + 35 = 100
Subtract:
c = 65

There are 35 pigs and 65 chickens
-T.B.
3 0
3 years ago
fruit punch jucie boxes cost 0.35 per oz they come in boxes of 8.5 oz and 12.2 oz how many dose each box cost
Alisiya [41]
8.5 = $2.97
12.2 = $4.27
4 0
3 years ago
Read 2 more answers
Help please thank you
Ad libitum [116K]
In order for the triangle to be isosceles, we have to set two lengths of the triangle equal to each other. 

Let's take the lengths 5x-12 and x+20 and set them equal to each other. 

5x - 12 = x + 20 

Combine like terms by moving them over to their respective sides.

Subtract x from both sides of the equation. 

4x - 12 = 20 

Add 12 to both sides of the equation. 

4x = 32 

Divide both sides by 4. 

x = 8 

Check your answer by substituting. 

5x - 12 = x + 20

5(8) - 12 = 8 + 20

40 - 12 = 28 

28 = 28

Solution: x = 8 




5 0
3 years ago
Paula tiene una cartulina de 50x65 cm. Quiere hacer 5 rectángulos de 210x297 mm. ¿Tendrá suficiente con una cartulina?
brilliants [131]

Answer:

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3 0
2 years ago
Can someone please help me with number 26
Ipatiy [6.2K]
300 is the original amount and 0.5 is the rate (a percent) which is deacying because it is less than 1
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