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Svetllana [295]
3 years ago
8

There are 24 students in Ms. Messing's class 6 more students walk to school then ride their bikes thus number of students who ri

de their bikes is the same as the number of students who are driven to school how many students walk to school
Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
3 0
Walk = x + 6
Bike = x
Driven = x

x + x + x + 6 = 24
combine like terms

3x + 6 = 24
subtract 6 from both sides 

3x = 18
divide both sides by 3 to isolate x

x = 6

Walk = x + 6 = 6 + 6 = 12

12 students walk to school.
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Anna11 [10]

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Step-by-step explanation:

Hi!

The sample space of this problems is the set of all the possible sales. It is divided in the disjoint sets:

S_s = {\text{sales made in Seattle }}\\S_p={\text {sales made in Portland}}

We have also the set of sales of boat accesories S_b, the colored one in the image.

We are given the data:

P(S_s) = 0.6\\P(S_b | S_s) = \frac{P(S_b\bigcap S_s)}{P(S_s)}=0.4\\P(S_b|S_p) =\frac{P(S_b\bigcap S_p)}{P(S_p)}=0.2

From these relations you can compute the probabilities of the intersections colored in the image:

pink\;set:\;P(S_b \bigcap S_s) =0.6*0.4=0.24\\blue\;set\;:P(S_b \bigcap S_p)=(1-0.6)*0.2 =0.08

You are asked about the conditional probability:

P(S_s|S_b) = \frac{P(S_s \bigcap S_b)}{P(S_b)}

To calculate this, you need  P(S_b) . In the image you can see that the set S_b is the union of the two disjoint pink and blue sets. Then:

P(S_b)=P((S_b \bigcap S_s)\bigcup(S_b \bigcap S_p)) = 0.24 + 0.08 = 0.32

Finally:

P(S_s|S_b) = \frac{0.24}{0.32}=0.75

4 0
3 years ago
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