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kolezko [41]
3 years ago
15

Find the probability that the next student will select hamburger for lunch. You

Mathematics
1 answer:
adell [148]3 years ago
6 0

Answer=3/10

Step wise =

Total number of student=40

student who eat Hamburger=12

now,

Probability of eating hamburger student = 12/40

=3/10

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The greatest number common to 50 and 10 is 10 10 is the answer hope this helps
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Adult tickets for the school musical sold for $3.50 and students tickets sold for $2.50. 321 tickets were sold altogether for $9
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What is...a increased by 25%
Gelneren [198K]

Answer:

  1..25a

Step-by-step explanation:

a + 25%·a = a(1 + 0.25) = 1.25a

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<em>Comment on percentages</em>

The symbol "%" is a shorthand way to write "/100", so 25% = 25/100 = 0.25.

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2 years ago
A chemical refinery needs a vat. They want the vat to be a rectangular prism (with square bases) that has a maximum volume of 1,
Alex17521 [72]

Answer:

For least material to be used lengths of square base and sides = 10 units.

Step-by-step explanation:

Let the lengths of the square base and the sides = x feet, x feet and y feet

Area of the square base = x² feet

Volume of the rectangular prism = Area of the square base × Height

                                                      = x²y cubic feet

1000 = x²y

y = \frac{1000}{x^2} -------(1)

Material used in the prism = Surface area of the rectangular prism

                                            = 2(lb + bh + hl)

Here, h =  height of the prism

l = length of the base

w = Width of the base

Material to be used (S) = 2(xy + x² + xy) - Area of lid

                                  S = 2(x² + 2xy) - x²

                                  S = x² + 2xy

Now by substituting the value of y from equation (1),

S = x² + 2x(\frac{1000}{x^{2} })

  = x² + \frac{2000}{x}

For least amount of material used,

We will find the derivative of the given function and equate it to zero.

S' = 2x - \frac{2000}{x^{2} }

2x - \frac{2000}{x^{2} } = 0

2x³ = 2000

x³ = 1000

x = 10 feet

From equation (1),

y = \frac{1000}{(10)^2}

y = 10 feet

Therefore, for least amount of the material used lengths of square base and sides will be 10 feet.

7 0
3 years ago
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