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Harlamova29_29 [7]
2 years ago
10

In the game of​ roulette, a player can place a ​$5 bet on the number 11 and have a startfraction 1 over 38 endfraction probabili

ty of winning. if the metal ball lands on 11​, the player gets to keep the ​$5 paid to play the game and the player is awarded an additional ​$175. ​ otherwise, the player is awarded nothing and the casino takes the​ player's ​$5. what is the expected value of the game to the​ player? if you played the game 1000​ times, how much would you expect to​ lose?
Mathematics
1 answer:
Sauron [17]2 years ago
4 0
We know that
P(winning) = 1/38 
P(losing) = 1-1/38 = 37/38 
Expected value = 175*1/38 - 5*37/38 
175/38 - 185/38 = - 10/38 =-$0.2632

the answer part A) is
The player's expected value is -$0.2632 ( is losing)

b) <span>if you played the game 1000​ times, how much would you expect to​ lose?
</span>-$0.2632*1000=-$263.20

the answer Part B) is $263.20 
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find three consecutive odd integers such that the sum of the smallest number and middle number is 27 less than 3 times the large
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A generic odd number can be written as

2k+1,\quad k \in \mathbb{Z}

Since there is an odd number every two numbers, three consecutive odd numbers will be

2k+1,\quad 2k+3,\quad 2k+5

Now let's make up the equations: the sum of the first two is

(2k+1)+(2k+3)

And 27 less than 3 times the largest is

3(2k+5)-27

These two must be the same, so we have

(2k+1)+(2k+3)=3(2k+5)-27 \iff 4k+4 = 6k+30-27 \iff 4k+4=6k+3

Subtracting 4k and 3 from both sides gives

1=2k \iff k=\dfrac{1}{2}

Which means that the problem has no solution.

To confirm this hypothesis, we can observe that, on the left hand side, we have the sum of two odd numbers, which is even

On the right hand side, we have an odd number, multiplied by 3 (still odd), take away 27 (still odd).

So, the left hand side is even, and the right hand side is odd. They can't be the same number.

7 0
3 years ago
Draw a picture to show how to find 12+37
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7 0
3 years ago
A rectangular shoebox has a volume of 728 cubic inches. The base of the shoebox measures 8 inches by 6.5 inches. How long is the
bagirrra123 [75]
Divide the volume by the two measures. 728 ÷ 8 = 91 ÷ 6.5 = 14 so, the shoe box is we inches long.
8 0
3 years ago
PLZZZZ ANSWER ASAP I WILL GIVE BRAINLIEST BUT WILL MAKE SUREIT IS RIGHT FIRST!!!!!!!!!!!!!!!!!!!! Which expression is equivalent
irakobra [83]

Answer:

The correct option is 1/4^2

Step-by-step explanation:

The given expression is:

4^6 * 4^-8

According to the same base rule if the exponents have the same base then the exponents will be added.

If we look at the given expression both the values have the same base.

Therefore we will add the exponents of the value.

= 4^6+(-8)

= 4^6-8

= 4^-2

Now to change the negative exponent into positive we will take it to the denominator.

4^-2 = 1/4^2

Thus the correct option is A....

8 0
3 years ago
A company is creating a box without a top from a piece of cardboard, but cutting out square corners with side length x.
Volgvan
Answer: Choice B) The expression (10-2x)(30-2x)x represents the volume of the box

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

The original width is 10 inches. The width reduces to 10-2x inches after we cut off the top two corners of the rectangle. We can think of it as taking 10 and subtracting off two copies of x like so: 10-x-x = 10-2x

Similarly, the length goes from 30 inches to 30-2x inches. This time we're taking off the top and bottom corners (focus on either side it doesn't matter). 

The height of the box is x inches due to this portion being folded up. 

Volume of box = (width)*(length)*(height)
Volume of box = (10-2x)(30-2x)x

Note: the units for the answer are in cubic inches which can be written as "in^3" (inches cubed). 

6 0
3 years ago
Read 2 more answers
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