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hodyreva [135]
3 years ago
8

Please help and explain how you solved it. Thanks.

Mathematics
1 answer:
galina1969 [7]3 years ago
3 0

Answer:

This is 0.14 to the nearest hundredth

Step-by-step explanation:

Firstly we list the parameters;

Drive to school = 40

Take the bus = 50

Walk = 10

Sophomore = 30

Junior = 35

Senior = 35

Total number of students in sample is 100

Let W be the event that a student walked to school

So P(w) = 10/100 = 0.1

Let S be the event that a student is a senior

P(S) = 35/100 = 0.35

The probability we want to calculate can be said to be;

Probability that a student walked to school given that he is a senior

This can be represented and calculated as follows;

P( w| s) = P( w n s) / P(s)

w n s is the probability that a student walked to school and he is a senior

We need to know the number of seniors who walked to school

From the table, this is 5/100 = 0.05

So the Conditional probability is as follows;

P(W | S ) = 0.05/0.35 = 0.1429

To the nearest hundredth, that is 0.14

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The swimming pool at Spring Valley High School is a rectangle with a width of 70 meters and a length of 25 meters. Around the pe
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<h3>Answer:   4w^2+190w</h3>

================================================

Explanation:

Check out the attached image below. Specifically, take a look at figure 1. We start with a rectangle which is 70 meters by 25 meters. Then we extend this rectangle out by adding two copies of w to each dimension having the larger rectangle be (70+2w) meters by (25+2w) meters.

The original smaller rectangle has area of 70*25 = 1750 square meters.

The new larger rectangle area is a bit more tricky to figure out, though its not too bad once you get the hang of it. You could use the FOIL rule to get

(70+2w)(25+2w) = 70*25+70*2w+2w*25+2w*2w

(70+2w)(25+2w) = 1750+140w+50w+4w^2

(70+2w)(25+2w) = 1750+190w+4w^2

(70+2w)(25+2w) = 4w^2+190w+1750

Or you could use the box method shown in figure 2.

The idea is to write the terms of (70+2w) and (25+2w) along the edges of the box. Then filling out the 4 inner boxes involves multiplying the outer terms. Example: row1,column2 has 50w inside it because we multiply the outer terms 25 and 2w to get 25*2w = 50w. The other boxes are filled out in a similar fashion.

Although the FOIL rule is handy and taught in a lot of math books/classes, I prefer the box method because the box method can be extended to other cases (not just multiplying two binomials).

Whichever method you use, the larger rectangle has area 4w^2+190w+1750 square meters.

-------------------------------

So,

A = area of larger rectangle = 4w^2+190w+1750

B = area of smaller rectangle = 1750

C = difference in areas of A and B

C = A - B

C = ( A ) - ( B )

C = ( 4w^2+190w+1750 ) - ( 1750 )

C = 4w^2+190w+1750-1750

C = 4w^2+190w

This represents the area of just the tile border alone. We started with the larger rectangle and took out the smaller rectangle inside to only have the border left over.

-------------------------------

If you want, you can factor out a 'w' to get

4w^2+190w = w(4w+190)

Though this may be optional.

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