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nasty-shy [4]
3 years ago
9

a) If four cards are drawn from a standard deck of 52 cards and ARE replaced, what is the probability of getting at least one he

art? b) If the cards are NOT replaced, what is the probability of getting at least one heart? *
Mathematics
1 answer:
Vlad [161]3 years ago
5 0

Answer:

The answer is B

Step-by-step explanation: because if you divide 52 by 2 and pick out the hearts then divide the hearts to get your answer


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Amelia launched her science fair rocket, and then backed away. The path of the rocket is given by the equation below, where y is
Mamont248 [21]

Answer:

1)The rocket hit the ground at     x = \frac{5}{4}

2)The maximum height of the rocket = 12.468 feet

Step-by-step explanation:

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

Given equation  

                y = -2 x² + 5 x + 7 ...(i)

Differentiating equation (i) with respective to 'x' , we get

             \frac{dy}{dx} = -2( 2x) +5(1) =  -4x +5

Equating zero

            \frac{dy}{dx} = 0

⇒      -4 x +5 =0

⇒      -4 x = -5

⇒          x = \frac{5}{4}

<em> The rocket hit the ground at     </em>x = \frac{5}{4}<em></em>

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

    \frac{dy}{dx}  =  -4x +5  ...(ii)

Again differentiating equation (ii) with respective to 'x' , we get

 \frac{d^{2} y}{dx^{2} }  = - 4(1)

The maximum height at x = \frac{-5}{4}

  y = -2 x² + 5 x + 7

 y = -2 (\frac{5}{4})^{2}  + 5 (\frac{5}{4} )  + 7

y = \frac{-2(25)+ 25 (16)+7(64)}{64}

y = \frac{798}{64} = 12.468 feet

<em>The maximum height of the rocket = 12.468 feet</em>

       

4 0
3 years ago
A box contains 2 red marbles, 3 green marbles, and 3 blue marbles. if we choose a marble, then another marble without putting th
Bad White [126]
There are 7 marbles, including 3 green ones, so at the start, there is a 3/7 chance of getting a green marble.
Assuming you did get a green one, there are now 6 marbles left, with 2 blue marbles, so there is a 2/6 chance of taking a blue marble.
Given that both have to happen, you must multiply each probability, hence the total probability is 3/7 x 2/6, or a 1/7 chance.
Hope this helped
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3 years ago
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A hi this is going to be a because a

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Andre tried to solve the equation 1/4(x+12)=2 what was his mistake?
timofeeve [1]
He didn’t multiply by 4 first
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Solve for x: 9x-25 = 5x+7
Dennis_Churaev [7]

Answer:

9x - 25 = 5x + 7 \\ 9x - 5x = 25 + 7 \\ 4x = 32 \\  \frac{4x}{4}  =  \frac{32}{4}  \\ x = 8

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em>.</em><em>.</em><em>.</em><em>.</em>

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