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salantis [7]
1 year ago
13

Suppose 2 quarters, 3 dimes, 3 nickels, and 9 pennies are in a box. One coin is selected at random. What is the expected value o

f the money drawn from the box?

Mathematics
1 answer:
Hoochie [10]1 year ago
8 0

Answer:

Given that,

Suppose 2 quarters, 3 dimes, 3 nickels, and 9 pennies are in a box.

One coin is selected at random.

To find the expected value of the money drawn from the box.

we get,

Total number of coins is 2+3+3+9=17

Probability of getting quarter is,

\frac{2}{17}

Probability of getting dime is,

\frac{3}{17}

Probability of getting nickel is,

\frac{3}{17}

Probability of getting penny is,

\frac{9}{17}

we know that,

\begin{gathered} 1\text{ quarter}=0.25\text{ dollars} \\ 1\text{ dime}=0.1\text{ dollars} \\ 1\text{ nickel}=0.05\text{ dollars} \\ 1\text{ penny}=0.01\text{ dollars} \end{gathered}

Using this, we get

The expected value of the money drawn from the box is,

=(0.25)\times\frac{2}{17}+(0.1)\times\frac{3}{17}+(0.05)\times\frac{3}{17}+(0.01)\times\frac{9}{17}=\frac{0.5}{17}+\frac{0.3}{17}+\frac{0.15}{17}+\frac{0.09}{17}=\frac{1.04}{17}\approx0.06117\text{ dollars}

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Answer:

4/13 is the probability does a blue Jelly Bean is selected

Step-by-step explanation:

sample space = sum of all the jelly beans in the bag

sample space =5+6+7+8

sample space =26

probability = Jelly Bean selected / sample space

probability =8/26

probability =4/13

4 0
3 years ago
The hypotenuse of a 30o-60o-90o triangle measures 4 square 3 inches. What is the length of the shorter leg?
Fofino [41]

<u><em>Answer:</em></u>

The shorter leg is 2\sqrt{3} inches

<u><em>Explanation:</em></u>

The 30°-60°-90° is a special type of right-angled triangles

<u>It has the following special side length:</u>

The length of the side opposite to the 30° is \frac{1}{2} the length of the hypotenuse

The length of the side opposite to the 60° is \frac{\sqrt{3} }{2} of the hypotenuse

<u>Now, we know that</u> the lengths of the sides in a triangle are proportional to the angles

<u>This means that</u> the shortest side will be the one opposite to the smallest angles

In our case, the shortest side will be the one opposite to the 30° angle

We are given that the hypotenuse of the triangle is 4\sqrt{3} in

<u>From the above:</u>

Shorter leg = leg opposite to 30° = \frac{1}{2} * hypotenuse = \frac{1}{2} * 4\sqrt{3} = 2\sqrt{2} inches

Hope this helps :)

5 0
3 years ago
Mary borrowed 400.00 from a bank for 2 years. The total interest she paid was 24.00 Mary bro 400 from a bank for 2 years and was
iogann1982 [59]

Answer:

3%

Step-by-step explanation:

24÷400=.06

.06=6%

6%÷2=3%

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3 years ago
1.The base length of a rectangle is multiplied by 8. How does this affect the area?
stiv31 [10]

Answer:

1. C - 8x bigger

2. D - 16x bigger

3. A - 3x bigger

Step-by-step explanation:

8 0
3 years ago
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Favian received a $100 gift card to a clothing store.
IgorLugansk [536]

Answer:

32n = 100 - 20

n = 2.5

he purchased 2 sweaters

Step-by-step explanation:

32n = 100 - 20

If Favian originally had $100 but spent $20 on a belt, he only had 80 left, meaning that 80 = 32n which means that he was able to but 2 sweaters and got $16 back. Therefore the formula would be 32n = 100 - 20

4 0
3 years ago
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