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BARSIC [14]
3 years ago
9

Y for a daily lottery, a person selects a three-digit number. if the person plays for $1, she can win $500. find the expectation

. in the same daily lottery, if a person boxes a number, she will win $80. find the expectation if the number 123 is played for $1 and boxed. (when a number is "boxed," it can win when the digits occur in any order.)
Mathematics
1 answer:
Elena-2011 [213]3 years ago
4 0
The expected value of the first game is -$0.50 and of the second game is -$0.52.

There are 10³ possible numbers for the lottery, and only 1 of them will match in the correct order; this gives a probability of 1/1000.  To find the expected value, we multiply this by the winnings (499 after the $1 cost); we also multiply the probability of losing (999/1000) by the amount lost (-1):
1/1000(499)+999/1000(-1)
499/1000 - 999/1000 = -500/1000 = -0.50

For the second game, since the number is "boxed", there are 3! ways to get the correct digits; this gives a probability of 6/1000.  Multiply this by the winnings, 79 (after the $1 cost); multiply the probability of losing (994/1000) by the loss (-1):
6/1000(79) + 994/1000(-1) = 474/1000 - 994/1000 = -520/1000= -0.52
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Small notebooks cost $3.50 and large notebooks cost $5.00. She needs to buy 31 notebooks, and she has $134 to spend. How many sm
Darina [25.2K]

Let's assume

number of small notebooks =x

number of large notebooks =y

we are given

total number of notebooks =31

so, we get

x+y=31

now, we can solve for y

y=31-x

we have

Small notebooks cost $3.50 and large notebooks cost $5.00

she has $134 to spend

so, we get

3.50x+5y=134

now, we can plug y

3.50x+5(31-x)=134

3.50x+5*31-5x=134

-1.5x+155=134

-1.5x+155-155=134-155

x=14

now, we can find y

y=31-14

y=17

so,

number of small notebooks is 14

number of large notebooks is 17.............Answer


6 0
4 years ago
Read 2 more answers
A unit of measure sometimes used in surveying is the link; 1 link is
liraira [26]

Answer:

Number of links in 7 feet = 10 links (Approx)

Step-by-step explanation:

Given:

1 link = 8 inches distance

Find:

Number of links in 7 feet

Computation:

1 feet = 12 inches

So,

7 feet = 12 x 7 = 84 inches

So,

Number of links in 7 feet = 84/8

Number of links in 7 feet = 10 links (Approx)

8 0
3 years ago
 A barber has already cut for peoples hair today. Every 10 minutes another person comes to the Barber to get a haircut. Write
Alexeev081 [22]

Answer:

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7 0
3 years ago
when Dallas committed to work one morning his average speed was 45 mph. On the return trip he average only 35 mph. Due to conges
defon

The required distance is 16.40 km.

This problem can be solved if we know the concept of speed, time and distance.

We know the speed=\frac{distance}{time}

To solve the problem let us assume that the total distance between the workplace and home is x km.

Given that his speed while going from home to work is 45 mph and while returning is 35 mph.

Time for the complete journey is \frac{5}{6}hr.

Now according to question;

   \frac{x}{45}+\frac{x}{35}=\frac{5}{6}

⇒\frac{7x+9x}{315}=\frac{5}{6}

⇒16x=\frac{5*315}{6}

⇒ x=\frac{5*315}{6*16}

∴ x=16.40\ km

So, the required distance is 16.40 km.

To learn more about speed, distance and time visit the link:

brainly.com/question/15256256

#SPJ9

5 0
2 years ago
Anton joined a gulf club two years ago. He pays ana annual membership fee of $895 and a green fee of $30 each time he plays a ga
maksim [4K]

Answer:

Anton played a total of 39 games.

Step-by-step explanation:

If you want to calculate the amount of games played, you must first subtract the membership fee of 895 to get 1170. As you are charged $30 for each game, you must divide by thirty.


If you are fond of graphing, know this equation can also be expressed in slope-intercept form (y = mx + b) as y = 30x + 895, with x being the number of games played and the y-intercept (895) being your initial cost.

4 0
3 years ago
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