Ask question

Ask question

All categories

2 years ago

15

Suppose you pay $1.00 to roll a fair die with the understanding you will get $3.00 back rolling a 4 or a 2, and nothing otherwis

e. What is the expected amount you will win?

1 answer:

nikdorinn [45]2 years ago

6 0

There are 2 chances out of 6 to win $3

Every 6 rolls you are expected to win $6

Every 3 rolls you are expected to win $3.

On average, even though it's impossible, every roll you would make $1.

You might be interested in

Find the product of the given polynomials. <br> (5x + 8 – 6r) (4 + 2r – 7)<br><br><br>

Inessa05 [86]

Answer:

-12r² + 10xr - 15x + 34r - 24

Step-by-step explanation:

1. Organize it, variables first - as well as adding constants such as 4 and -7

(5x - 6r + 8) (2r - 3)

2. Start by multiplying the 5x by (2r - 3), then -6r, followed by 8

(10xr - 15x) + (-12r^2 + 18r) + (16r - 24)

3. Simplify

10xr - 15x - 12r² + 18r + 16r - 24

4. Order by greatest to smallest factorial

-12r² + 10xr - 15x + 18r + 16r - 24

5. Combine like variables

-12r² + 10xr - 15x + 34r - 24

6 0

2 years ago

Given right triangle QRS, what is the value of sin(30°)? StartFraction StartRoot 3 EndRoot Over 3 EndFraction One-half StartFrac

baherus [9]

Answer:

Option 2: $\sin(30)=\frac{1}{2}$

Step-by-step explanation:

Given:

From the triangle shown below;

A triangle QRS with angle QRS = 90°, ∠QSR = 30°.

Side QR = 5, SQ = 10 and RS = 5√3

Now, we know from trigonometric ratio that,

$\sin (A) = \frac{Opposite\ side}{Hypotenuse}$

Here, opposite side of angle QSR is QR and Hypotenuse is the side opposite angle QRS which is SQ. Therefore,

$\sin(\angle QSR)=\dfrac{QR}{SQ}\\\\\\\sin(30)=\dfrac{5}{10}\\\\\\\sin(30)=\dfrac{5}{2\times 5}=\dfrac{1}{2}$

Therefore, the value of sine of 30° is one-half. So, second option is correct.

6 0

2 years ago

Read 2 more answers

In each of the following situations, the sampling frame does not match the population, resulting in undercoverage. Give examples

Scrat [10]

Based on your question that ask where each situation and the sampling frame doesn't match the population, resulting in under coverage. The possible answer to your question is , under coverage in a random sampling where the result that you get is still just a partial of the whole but it could be done in anytime as long as the number of people are still there. It means that the sampling result do not just base in one session of sampling.

5 0

3 years ago

Which expression is equivalent to Assume x > 0 and y 0.

Svetach [21]

we have

$\sqrt{\frac{55x^{7}y^{6}}{11x^{11}y^{8}}}$

we know that

$\sqrt{\frac{55x^{7}y^{6}}{11x^{11}y^{8}}} =\sqrt{\frac{55}{11}\frac{x^{7}}{x^{11}}\frac{y^{6}}{y^{8}}} \\ \\= \sqrt{\frac{5}{x^{4} y^{2}}} \\ \\ =\frac{\sqrt{5}}{x^{2} y}$

therefore

<u>the answer is</u>

The expression equivalent is $\frac{\sqrt{5}}{x^{2} y}$

3 0

2 years ago

Read 2 more answers

What does the y-coordinate have to be for a point to be on the x-axis?

vesna_86 [32]

Step-by-step explanation:

If we're talking about something like y coordinate being on the x axis, I'd have to say 0. Because it would be on the y axis no matter the coordinates of it isn't a 0. Ex : (0,0) and (0,9). (0,9) would have the point going upwards on the y axis.

3 0

1 year ago