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Diano4ka-milaya [45]
3 years ago
10

A card game goes like this: you draw a card from a 52-card deck. if it is a face card (jack, queen or king), you win $4; otherwi

se, you lose $2. what is your expected value for this game? (round your answer to the nearest cent.)
Mathematics
1 answer:
GREYUIT [131]3 years ago
8 0
Your expected value is -$0.62.

We multiply the probability of winning by the amount won.  There are 12 face cards out of 52 cards, and the amount won is 4:

12/52(4)

We also multiply the probability of losing by the amount lost.  There are 40 cards that are not face cards out of 52, and the amount lost is 2:

40(52)(-2)

Adding these, we have: 

(12/52)(4)-(40/52)(2) = -0.62.
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allochka39001 [22]

Answer:

4

Step-by-step explanation:

i hope u understand !0k ?????

8 0
3 years ago
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If $560 is invested at an interest rate of 9% per year and is compounded continuously, how much will the investment be worth in
koban [17]

Answer:

$878.25

Step-by-step explanation:

Continuously compounded interest is:

A = Pe^(rt)

where A is the final amount, P is the initial amount, r is the interest rate, and t is the number of compoundings.

Here, P = 560, r = 0.09, and t = 5.

A = 560e^(0.09×5)

A = 878.25

5 0
3 years ago
Nick and his cousin Sara have the same birthday, but Nick is four years older than Sara. Let the variable X relresent Nick's age
Ronch [10]

Answer:

Let X represent Nick's age and Y represent Sara's age.

Then, it is given that: Nick is four years older than Sara.

We write the statement as:

X=4+Y

or Y=X-4

The only ordered pairs (X,Y) which satisfy the equation are: (0,-4) and (4,0) as you can see in the graph also.

In the graph X axis represents the age of Nick's age and Y-axis represent the age of Sara's age and the line Y=X-4 represents the relationship between the age of both.



6 0
3 years ago
Simplify.<br> 1/4(3x-7)+3/4x
Ivan

Answer:

C. 1\frac{1}{2} x - 1\frac{3}{4}

Step-by-step explanation:

c

7 0
1 year ago
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You are planning a May camping trip to Denali National Park in Alaska and want to make sure your sleeping bag is warm enough. Th
Goshia [24]

The probability that this bag will be warm enough on a randomly

selected May night at the park is 0.8106 ⇒ answer C

Step-by-step explanation:

You are planning a May camping trip to Denali National Park in Alaska

and want to make sure your sleeping bag is warm enough.

The average low temperature in the park for May follows a normal

distribution

The given is:

1. The mean is 32°F

2. The standard deviation is 8°F

3. One sleeping bag you are considering advertises that it is good for

   temperatures down to 25°F (x ≥ 25)

At first let us find the z-score

∵ z = (x - μ)/σ, where x is the score, μ is the mean, σ is standard deviation

∵ μ = 32°F , σ = 8°F , x = 25°F

- Substitute these values in the rule

∴ z = \frac{25-32}{8}=-0.875

Now let us find the corresponding area of z-score in the normal

distribution table

∵ The corresponding area of z = -0.875 is 0.18943

∵ For P(x ≥ 25) the area to the right is needed

∵ P(x ≥ 25) = 1 - 0.18943 = 0.8106

∴ P(x ≥ 25) = 0.8106

The probability that this bag will be warm enough on a randomly

selected May night at the park is 0.8106

Learn more:

You can learn more about mean and standard deviation in brainly.com/question/6073431

#LearnwithBrainly

3 0
3 years ago
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