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olya-2409 [2.1K]
3 years ago
14

There are 3 red balls, 5 green balls, and 1 yellow ball in a hat. If you draw the yellow ball, you gain $10. If you draw any of

the red balls, you gain $4. If you draw a green ball, you lose $3. If you were to play this game 25 times, replacing the drawn ball each time, how much money can you expect to gain or lose?
Mathematics
1 answer:
shepuryov [24]3 years ago
6 0

Answer:

19.44

Step-by-step explanation:

We have the following information:

3 red balls, 5 green balls, and 1 yellow ball

In total there are 3 + 5 + 1 = 9 balls.

We calculate the probability of each:

Network: 3/9

Green: 5/9

Yellow: 1/9

Each one corresponds a price in profit or losses:

Network: 4

Green: -3

Yellow: 10

So in total it would be the sum of the multiplication of the probability and the price and then multiply everything by 25:

(4 * 3/9 + -3 * 5/9 + 10 * 1/9) * 25 = (0.777) * 25

= 19.44

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Binomials: Expand (2a+3)^3 (PLEASE ANSWER QUICKLY)
hodyreva [135]

Answer:

8 {a}^{3}  +  {36a}^{2} +  54a + 27 \\

Explanation:

Binomial theorem,

{(p + q)}^{3}  =  {p}^{3}  + 3 {p}^{2} q +  {q}^{3}

4 0
2 years ago
Trigonometry Problem <br><br> Find the length of the missing side.
Vlad [161]

Answer:

x= 141.8179

Step-by-step explanation:

side a is 38, side b is 141.8179, side c is 146.8207

angle a is 15 angle b is 90 ancle c is 75

7 0
3 years ago
Henry knows that the circumference of a circle is 56.52 inches. What is the area of the circle? (Use 3.14 for  and round to the
ahrayia [7]

The area of circle is 254.34 square inches, if the  circumference of a circle is 56.52 inches.

Step-by-step explanation:

The given is,

                       Circumference of a circle is 56.52 inches.

                       \pi =3.14

Step:1

             Formula for circumference of circle is,

                                   Circumference, C = 2\pi r........................(1)

              Where, r - Radius of circle

              From the given,

                           C = 56.52 inches

              Equation (1) becomes,

                                          56.52 = 2 \pi (r)

                                          56.52 = (2) (3.14) (r)

                                          56.52 = 6.28 (r)

                                                 r = \frac{56.52}{6.28}

                                                  r = 9 inches

Step:2

             Formula for area of circle,

                                       Area,A = \pi r^{2}............................(2)

             Where, r  - Radius of circle

             From the given,

                               r = 9 inches

             Equation (2) becomes,

                               A = \pi  (9)^{2}

                                   = (3.14) (81)

                                   = 254.34

      Area of circle, A = 254.34 square inches

Result:

          The area of circle is 254.34 square inches, if the  circumference of a circle is 56.52 inches.

3 0
2 years ago
Which statement is true about the equations -3x + 4y = 12 and #x - 4y = 1?
Amanda [17]

Answer:

i think its the first one

Step-by-step explanation:

3 0
2 years ago
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igomit [66]

Answer: To find the third side of a triangle (there are two answers you could get), you need to use the Pythagorean formula: a^2+b^2=c^2.  First answer, 3^2+5^2=c^2.  Solve for c.  c=5.83.  The second answer, 3^2+b^2=5^2.  Solve for b.  b=4.

\

5 0
2 years ago
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