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SSSSS [86.1K]
3 years ago
11

what is the probability that a card picked at random from a 52-card deck of playing cards is a club or a jack?

Mathematics
2 answers:
ASHA 777 [7]3 years ago
7 0

|\Omega|=52\\ |A|=\underbrace{13}_{\text{clubs}}+\underbrace{4}_{\text{jacks}}-\underbrace{1}_{\text{jack of clubs}}=16\\\\ P(A)=\dfrac{16}{52}=\dfrac{4}{13}\approx31\%

ira [324]3 years ago
5 0

Answer:

A. 4/13

Step-by-step explanation:

4/13 in percent is 30%(30.7692308 percent)

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Answer:

<em><u>A.10000</u></em>

<em><u>B.25 more trees must be planted</u></em>

Step-by-step explanation:

⇒Given:

  • The intial average yield per acre y_{i} = 150
  • The initial number of trees per acre  t_{i} = 100
  • For each additional tree over 100, the average yield per tree decreases by 1 i.e , if the number trees become 101 , the avg yield becomes 149.
  • Total yield = (number of trees per acre)*(average yield per acre)

<em>A.</em>

⇒If the total trees per acre is doubled , which means :

total number of trees per acre t_{f} = 2*t_{i} = 200

the yield will decrease by : t_{f} - y_{i}

y_{f}= 150-100= 50

⇒total yield = 50*200=10000

<em>B.</em>

⇒to maximize the yield ,

let's take the number of trees per acre to be 100+y ;

and thus the average yield per acre = 150 - y;

total yield = (100+y)*(150-y)\\=15000+50y-y^{2} \\

this is a quadratic equation. this can be rewritten as ,

     ⇒   =15000+50y-y^{2}\\=15000+625 - (625 - 50y +y^{2})\\=15625 - (y-25)^{2}

In this equation , the total yield becomes maximum when y=25;

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Step-by-step explanation:

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(180-x)-2(90-x)= 53
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180-x-180+2x=53
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