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Inga [223]
2 years ago
12

Multiple choice question! Very important! Algebra!

Mathematics
1 answer:
Murljashka [212]2 years ago
5 0
I think the answer is A. Or the answer is A.
Try downloading the app Socratic it like Brainly but I think it’s more helpful
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You spin each spinner once. You get $50 if you spin a 2 and a vowel. You get $25 if you spin a 2 and a consonant. You get $5 if
Tom [10]

The expected value of the game is $8.75.

----------------------

  • The expected value is the <u>sum of each outcome multiplied by it's probability</u>.
  • A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.

  • The probability of spinning a 2 and a vowel is: \frac{1}{4} \times \frac{2}{8} = \frac{2}{32}.
  • Thus, \frac{2}{32} probability of getting $50.

  • The probability of spinning 2 and a consonant is: \frac{1}{4} \times \frac{6}{8} = \frac{6}{32}
  • Thus, \frac{6}{32} probability of getting $25.

  • The probability of spinning 1 and a vowel is: \frac{3}{4} \times \frac{2}{8} = \frac{6}{32}.
  • Thus, \frac{6}{32} probability of getting $5.

  • 32 - (6 + 6 + 2) = 18, thus, \frac{18}{32} probability of earning $0.

The expected value is:

E = \frac{2}{32}(50) + \frac{6}{32}(25) + \frac{6}{32}(5) + \frac{18}{32}(0)

E = \frac{100 + 150 + 30}{32}

E = \frac{280}{32}

E = 8.75

The expected value of this game is of $8.75.

A similar problem is given at brainly.com/question/24961584

8 0
2 years ago
A video game that is $54.99 how much is the sales tax on the game and what is the price including taxes
Mamont248 [21]

The sales tax depends on which state you live in. For example, in Texas, the sales tax is 8.14%. Therefore the game would be $59.47.

7 0
3 years ago
A student flips a fair coin 6 times. Answer the following questions: 1. Suppose that after flipping the coin all six times the e
VashaNatasha [74]

Answer:

1. 7 outcomes.

2. 64 outcomes.

3. D and H

Step-by-step explanation:

1. The experimenter will record the total number of heads after flipping the coin 6 times, therefore, the possible outcomes are: the experimenter got 0 heads, the experimenter got 1 head,..., the experimenter got 6 heads. Therefore there are 7 possible outcomes: (0, 1, 2, 3, 4, 5, 6).

2. If the experimenter records the result after each flip (H or T), for the first flip she has 2 results (heads or tails), for the second one she has 2 results, same for the third, fourth, fifth and sixth flip.

Therefore the possible outcomes are: (2)(2)(2)(2)(2)(2)=2^{6}=64.

3. Now the experimenter will end up the experiment earlier if she gets two tails or two heads in a row.

A.TTHTT is not possible because in this case she would've ended up the experiment after the second flip since she got two tails.

B.TTH is not possible either for the same reason.

C. HT is not possible because she still needs to get another T or two H in a row.

D. This is a possible outcome because in this one she flipped the coin 6 times and she didn't get two heads or two tails in a row so she didn't finish it earlier.

E. Is not possible because she should've stopped after the second flip.

F. Is not possible because it has 7 letters, therefore, 7 flips.

G. Is not possible because she should've stopped once she got heads in the fourth and fifth flip.

H. Is possible because she got heads in the second and  third flip.

6 0
3 years ago
A system of equations is shown. y = 3x - 2;. y = x^2. What are the solutions to the system of equations?
Taya2010 [7]

Answer: the solutions to the system of equations are x = 2 and x = 1

Step-by-step explanation:

The system of equations given equation is

y = 3x - 2 - - - - - - - - - - 1

y = x^2 - - - - - - - - - - - - 2

Substituting 1 into equation 2, it becomes

x^2 = 3x - 2

x^2 - 3x + 2 = 0

We would apply the method of factorization in solving the equation. We will get two numbers such that when added, the result would be - 3x and when multiplied, the result would be 2x^2. The numbers are - 2x and - x. It becomes

x^2 - 2x - x + 2 = 0

x(x - 2) - 1(x - 2) = 0

(x - 2)(x - 1) = 0

x - 2 = 0 or x - 1 = 0

x = 2 or x = 1

.

7 0
3 years ago
Read 2 more answers
Please Help Me With I-Ready Test
MrRa [10]

Answer:

4

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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