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4 years ago

11

The prize is a camera worth $200. Each raffle ticket costs $5. One hundred tickets are sold and a winner is drawn at random. Fin

d the expected value of the purchase of a ticket

1 answer:

torisob [31]4 years ago

7 0

The answer is going to be 205.

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Twelve people each have a standard deck of cards. Each person shuffles the deck and draws two cards (without replacement). Anyon

Vlad [161]

Answer:

5

0.9990

0.0401

Step-by-step explanation:

1) Probability(diamond) = 13/52 = 1/4

Probability(not diamond) = 1 - 1/4 = 3/4

Probability of atleast one diamond = 1 - probability of no diamonds

= 1 - (¾ × ¾) = 1 - 9/16 = 7/16

Expected no. = np = 12 × 7/16

= 5.25 = 5 (nearest whole no.)

2) let X be the no. of people winning the prize.

Then X ~ B(12, 7/16)

[ X follows a Binomial Distribution with 12 trials and probability of success (winning prize) = 7/16 ]

P(atleast 1 winning) = 1 - P(X=0)

= 1 - (9/16)^12

= 0.9989966087

= 0.9990 (4 dp)

3) P(X=2) = 12C2 × (7/16)² × (9/16)^10

= 0.0400613268

= 0.0401 (4 dp)

7 0

3 years ago

Bowl A contains 6 apples and 3 mangoes this can be written as, Bowl B contain 8 apples and 2 mangoes this can be written as. Wha

AlexFokin [52]

Answer:

2 apples and 1 mango

Step-by-step explanation:

Bowl A can be written as 6a + 3m

Bowl B can be written as 8a + 2m

The difference between the bown is 2 apples and 1 mango

6 0

4 years ago

Allison's team scored 78 points in total. Nineteen of the baskets counted 1 point each. The remaining 27 baskets we're 2 point a

sweet [91]

Answer:

1 point baskets = 19

2 point baskets = 22

3 point baskets = 5

Step-by-step explanation:

Given:

Number of points scored (P) = 78

Number of 1 point baskets = 19

Number of 2 and 3 points basket = 27

Let the number of 2 point baskets be 'x' and 3 point basket be 'y'.

Therefore,

$x+ y=27\\\\y=27-x$

Now, points scored per 2 point basket = 2

So, points scored for 'x' baskets = $2x$

Also, points scored for 'y' baskets = $3y=3(27-x)=81-3x$

Now, total points scored is equal to the sum of 1 point baskets, 2 point baskets and 3 point baskets. Therefore,

$P=19+2x+81-3x\\\\78=100-x\\\\x=100-78\\\\x=22$

Therefore, number of 2 point baskets = 22

Now, number of 3 point baskets = 27 - 22 = 5

So, there were 19 one point baskets, 22 two point baskets and 5 three point baskets.

7 0

3 years ago

Read 2 more answers

Choose the correct solution and graph for the inequality-5y<_-15

swat32

For this case we have the following inequality:

$-5y \leq-15$

To solve, we follow the steps below:

We divide between 5 on both sides of the inequality:

$-y \leq \frac {-15} {5}\\-y \leq-3$

We multiply by -1 on both sides taking into account that the sense of inequality changes:

$y \geq3$

Thus, the solution is given by all values of "y" greater than or equal to 3.

Answer:

$y \geq3$

See attached image

The vertical axis represents the "y" axis

4 0

3 years ago

Sin(cos^-1 x)<br><br> how to solve?

tatiyna

Answer:

$sin(cos^{-1}x)=\sqrt{1-x^2}$

Step-by-step explanation:

let us assume

$cos^{-1} x=\theta\\x=cos\theta\\$

now

$sin(cos^{-1}x)$ can be written as $sin\theta$

we know $sin^2\theta+cos^2\theta=1$

so $sin^2\theta=1-cos^2\theta$

$sin\theta=\sqrt{1-cos^2\theta}$

now from above equation we can say that

$sin\theta=\sqrt{1-x^2}$

$sin(cos^{-1}x)=\sqrt{1-x^2}$

7 0

3 years ago