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IceJOKER [234]
3 years ago
9

Ben is placing boxes on a shelf that holds no more than 75 pounds. He has x small boxes that weigh 4 pounds each and y large box

es that weigh 10 pounds each. Ben needs at least 5 large boxes on the shelf.
Which inequalities model this situation?

Choose exactly two answers that are correct.

Question 12 options:

4x + 10y < 75


4x + 10y ≤ 75


x > 0 and y > 5


x ≥ 0 and y ≥ 5
Mathematics
1 answer:
diamong [38]3 years ago
5 0
<span>4x + 10y ≤ 75 is the answer for your question</span>
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What is the probability of drawing the compliment of a king or a
inna [77]

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The probability of drawing the compliment of a king or a  queen from a standard deck of playing cards = 0.846

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<u><em>Step(i):-</em></u>

Let 'S' be the sample space associated with the drawing of a card

n (S) = 52C₁ = 52

Let E₁ be the event of the card drawn being a king

n( E_{1} ) = 4 _{C_{1} }  = 4

Let E₂ be the event of the card drawn being a queen

n( E_{2} ) = 4 _{C_{1} }  = 4

But E₁ and E₂ are mutually exclusive events

since E₁ U E₂ is the event of drawing a king or a queen

<u><em>step(ii):-</em></u>

The probability  of drawing of a king or a  queen from a standard deck of playing cards

P( E₁ U E₂ ) = P(E₁) +P(E₂)

                 = \frac{4}{52} + \frac{4}{52}

P( E₁ U E₂ ) = \frac{8}{52}

<u><em>step(iii):-</em></u>

The probability of drawing the compliment of a king or a  queen from a standard deck of playing cards

P(E_{1}UE_{2})  ^{-} = 1- P(E_{1} U E_{2} )

P(E_{1}UE_{2})  ^{-} = 1- \frac{8}{52}

P(E_{1}UE_{2})  ^{-} = \frac{52-8}{52} = \frac{44}{52} = 0.846

<u><em>Conclusion</em></u>:-

The probability of drawing the compliment of a king or a  queen from a standard deck of playing cards = 0.846

5 0
3 years ago
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