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Dennis_Churaev [7]
3 years ago
10

In the game of​ roulette, when a player gives the casino $21 for a bet on the number 33​, the player has a 37/38 probability of

losing $21 and a 1/38 probability of making a net gain of $735.​(The prize is ​$756​, but the​ player's $21 bet is not​ returned, so the net gain is $735​.) If a player bets $21 that the outcome is an odd​ number, the probability of losing ​$21 is 20/38 and the probability of making a net gain of $21 is 18/38. ​(If a player bets $21 on an odd number and​ win, the player is given ​$42 that includes the​ bet, so the net gain is $21​.)
If a player bets $21 on the number 33​, what is the​ player's expected​ value?

The expected value is _______ dollars. (round to the nearest cent as needed)

________________________________________________________________________________
Mathematics
1 answer:
ohaa [14]3 years ago
4 0

Answer:

Step-by-step explanation:

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The length of the minute hand is 150% of the length of the hour hand.
tangare [24]
The hour hand is 30 mm hope this is right
7 0
3 years ago
3. Using the sample size of 800 and the proportion 0.47, calculate the margin of error associated with the estimate of the propo
salantis [7]

Answer:

ME=1.96\sqrt{\frac{0.47 (1-0.47)}{800}}=0.0346  

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

We assume for this case a confidence level of 95%. In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And if we replace the values obtained we got this:

ME=1.96\sqrt{\frac{0.47 (1-0.47)}{800}}=0.0346  

6 0
2 years ago
the volume of a cylinder is 1,356.48^ feet. If the diameter is 12 feet, calculate the height of the cylinder.
Olin [163]

Answer:

11.99 ft

Step-by-step explanation:

The formula for the volume of a cyl. of radius r and height h is V = πr²h.

Solving this immediately for h yields:

         V

h = ----------

         πr²

Inserting the known quantities results in:

         V           1356.48 ft³

h = ---------- = ----------------------      Note that r = (1/2)d, so r = (1/2)(12 ft) = 6 ft

         πr²         3.14159 (6 ft)²

   =   11.994 ft

The height of the cyl. is 11.99 ft (to the nearest hundredth foot)

4 0
3 years ago
Find the value of x. Then find the measure of the red arc.
Elza [17]

Answer:

x = 70 degrees, red arc= 110 degrees

Step-by-step explanation:

x and 2x-30 added together is 180 degrees.

We can make an equation to find x,

x + (2x - 30) = 180

3x - 30 = 180

Add 30 to both sides to isolate x

3x = 210

By dividing both sides by 3, we get x = 70

Now we know the red arc is 2x - 30. We can plug x in because we know the value now.

2(70) - 30

140 - 30

Red Arc = 110 degrees

8 0
3 years ago
ANSWER !! <br> ILL GIVE 40 POINTS !!<br> DONT SKIP :(( <br> PLUS BRAINLIEST !
Likurg_2 [28]

Answer:

85

Step-by-step explanation:

10x13=130, 9x5=45, 130-45=85

4 0
2 years ago
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