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GuDViN [60]
3 years ago
7

Suppose that, in an experimental setting, 100 students are asked to choose between Gamble A and Gamble B, where: Gamble A: The s

tudent will receive $5,100 with a 70 percent probability and $200 with a 30 percent probability. Gamble B: The student will receive $5,100 with a 50 percent probability, $200 with a 25 percent probability, and $0 (nothing) with a 25 percent probability. What is the expected value (EV) of Gamble B
Mathematics
1 answer:
Stolb23 [73]3 years ago
4 0
<h3>Answer: $2600</h3>

Focus on Gamble B only. Multiply each winnings with their corresponding probabilities.

5100*0.50 = 2550

200*0.25 = 50

0*0.25 = 0

Add up those results: 2550+50+0 = 2600

The expected value of gamble B is $2600

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Richard is given one of four pieces of equal-sized fabric. After using some of his fabric for a project, he has 5/6 of a square
ValentinkaMS [17]

Answer:

Richard used 2\frac{1}{12}\ yd ^2 of fabric for his project.

Step-by-step explanation:

Given:

Total amount of fabric = 11\frac23\ yd^2

Now To convert a mixed fraction to an improper fraction, Multiply the whole number part by the fraction's denominator,  Add that to the numerator,Then write the result on top of the denominator.

11\frac23\ yd^2 can be Rewritten as \frac{35}{3}\ yd^2

Number of pieces fabric was cut = 4

Richard is given one of four pieces of equal-sized fabric.

Amount of fabric Richard was given = \frac14 \times \frac{35}{3}=\frac{35}{12}\ yd^2

Amount of fabric left with Richard = \frac56 \ yd^2

We need to find the amount of fabric Richards used for his project.

Solution:

Now we can say that;

amount of fabric Richards used for his project is equal to Amount of fabric Richard was given minus Amount of fabric left with Richard.

framing in equation form we get;

amount of fabric Richards used for his project = \frac{35}{12}-\frac56

Now we will make the denominator common using LCM we get;

amount of fabric Richards used for his project = \frac{35}{12}-\frac{5\times2}{6\times2} = \frac{35}{12}-\frac{10}{12}

Now Denominator is same so we will solve the numerator.

amount of fabric Richards used for his project  = \frac{35-10}{12}= \frac{25}{12}\ yds^2

\frac{25}{12}\ yds^2 can be rewritten as 2\frac{1}{12}\ yd ^2

Hence Richard used 2\frac{1}{12}\ yd ^2 of fabric for his project.

7 0
3 years ago
Two real solutions of tx^2+3x_7=0
Olegator [25]

The number of solutions of a quadratic equation

ax^2+bx+c=0

Depends on its discriminant

/Delta=b^2-4ac

If /Delta>0 there are two distinct solutions

If /Delta=0 there are two coincident solutions

If /Delta<0 there are no solutions.

We know that there are two real solutions (I assume you mean distinct solutions), so we know that the discriminant is positive:

The number of solutions of a quadratic equation

Depends on its discriminant

If there are two distinct solutions

If there are two coincident solutions

If there are no solutions.

We know that there are two real solutions (I assume you mean distinct solutions), so we know that the discriminant is positive:

b^2-4ac=9+28t>0\iff t>-\dfrac[9][28]

3 0
3 years ago
if a student does not like the mountains what is the probability that the student does also not like the beach
Yakvenalex [24]
<span>40.4% I would say but if you need the whole problem I can give it to you.</span>
8 0
3 years ago
Solve for yyy. -3 = 7\left(y-\dfrac97\right)−3=7(y− 7 9 ​ )minus, 3, equals, 7, left parenthesis, y, minus, start fraction, 9, d
Leni [432]

Answer:

y = 6/7

Step-by-step explanation:

The equation given is:

-3 = 7(y - 9/7)

To solve this, we will expand the bracket and afterwards, collect like terms:

-3 = (7*y) - (9/7 * 7)

-3 = 7y - 9

Collecting numeric terms to the left hand side:

-3 + 9 = 7y

=> 6 = 7y

=> y = 6/7

That is the solution.

3 0
3 years ago
Read 2 more answers
Find the value of L in the equation. <br> s=(n÷2)(a+L)
Anon25 [30]

Answer:

2s/n-a=L

Step-by-step explanation:

So first we divide (n÷2) so it will be s/(n÷2) =a+L. Next we subtract L and get s/(n÷2)-a. That's not it yet, since 2 is being divided in the denominator, we have to reciprocal it meaning multiply, it to the top value. So it would 2s/n-a=L. But you can just leave it like that if you desire and your teacher doesn't mind.

7 0
3 years ago
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