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Natalija [7]
3 years ago
12

Of the 36 students in the class, 8 of them are boys. If one student is picked at random, what is the probability that the studen

t will be a boy?
Mathematics
1 answer:
Arisa [49]3 years ago
6 0
I say if there are only 8 boys that leaves 28 girls there is a probability that it may be a boy but the chances would be low.
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The length of a rectangle is 5959 inches greatergreater than twice the width. if the diagonal is 2 inches more than the​ length,
lorasvet [3.4K]

Length: 2w + 59

width: w

diagonal: (2w + 59) + 2  = 2w + 61

Length² + width² = diagonal²

(2w + 59)² + (w)² = (2w + 61)²

(4w² + 118w + 3481) + w²  = 4w² + 122w + 3721

5w² + 118w + 3481 = 4w² + 122w + 3721

w² + 118w + 3481 = 122w + 3721

w² - 4w + 3481 = 3721

w² - 4w - 240 = 0

a = 1, b = -4, c = -240

w = [-(b) +/- \sqrt{(b)^{2}  - 4(a)(c) }]/2(a)

 = [-(-4) +/- \sqrt{(-4)^{2}  - 4(1)(-240) }]/2(1)

   =  [4 +/- \sqrt{(16  + 960) }]/2        

  = [4 +/- \sqrt{(976) }]/2  

  = [2 +/- 4\sqrt{(61) }]/2  

  = 1 +/- 2\sqrt{(61) }

since width cannot be negative, disregard  1 - 2√61

w = 1 + 2√61  ≈ 16.62

Length: 2w + 59  =  2(1 + 2√61) + 59  = 2 + 4√61 + 59  =  61 + 4√61  ≈ 92.24

Answer: width = 16.62 in, length = 92.24 in

7 0
3 years ago
- Let y represent the width of a rectangle and let x represent the rectangle's lengu.
valentina_108 [34]

Answer:

Length: 21 cm and Width:  6cm

Step-by-step explanation:

Let y be the width and x length of the rectangle. We know:

x = 4y -3 -------- eq. 1

54 = 2x + 2y    (Perimeter of the rectangle) ------- eq.  2

Substitute equation 1 in equation 2:

54 = 2(4y-3) + 2y\\54 = 8y - 6 + 2y\\54 + 6 = 8y + 2y\\60 = 10 y\\\\\frac{60}{10}= y\\y = 6

Using the value of y, we find x.

x = 4y - 3\\x = 4(6) -3\\x= 24 - 3\\x = 21

4 0
3 years ago
Please help?? its unit rate so plz help tell me how to do it
Lelechka [254]

Answer:

1.2 dollars

Step-by-step explanation:

You have to divide the dollar count by the pound count.

So basically:

6/5

This gives you 1.2 dollars.

When you do unit rate, you just have to divide one value by the other value.

The value you divide by, and the value you divde, vary depending on what the question asks.

For instance, if this question asked what the pound count for 1 dollar would be, you would end up divide the 5 pounds by 6 dollars(5/6) instead of divideing the 6  dollars by 5 pounds like we did above(6/5).

Hope this helps!

3 0
3 years ago
Read 2 more answers
What is the better buy?
White raven [17]

Answer: Option B is the cheaper deal (the 12 batteries for $14.76)

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

Explanation:

For the first deal we can say

3 batteries = 4.80 dollars

3/3 batteries = 4.80/3 dollars .... divide both sides by 3

1 battery = 1.60 dollars

The unit price for the first deal is $1.60 per battery.

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

For the second deal we could say

12 batteries = 14.76 dollars

12/12 batteries = 14.76/12 dollars .... divide both sides by 12

1 battery = 1.23 dollars

The unit price for the first deal is $1.23 per battery.

This is the cheaper deal.

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

So in short, you're dividing the total cost over the number of items to get the unit price.

4 0
3 years ago
Read 2 more answers
What is the gcf of 27 and 36
mestny [16]

The answer would be 9. 9x3=27 and 9x4=36. Although 3 fits into both, 9 is the BIGGER number that also fits into both of the numbers shown in the problem.

5 0
2 years ago
Read 2 more answers
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