1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
earnstyle [38]
3 years ago
10

In a lottery game, a player picks six numbers from 1 to 27. If the player matches all six numbers, they win 40,000 dollars. Othe

rwise, they lose $1. Hint: There are 296010 possible ways of choosing six numbers, and you want just the one winning combination.
What is the expected value of this game?
Mathematics
1 answer:
Alexus [3.1K]3 years ago
7 0

Answer:

We conclude that  expected value of this game is -0.865$.

Step-by-step explanation:

We know that in a lottery game, a player picks six numbers from 1 to 27.

We know that

C_6^{27}=296010

As there is only one advantageous combination, we conclude that the number of non-winning combinations is 296009.

He can win 40,000 dollars.

We calculate:

E(X)=\frac{1}{296010}\cdot 40000\$- \frac{296009}{296010}\cdot 1\$\\\\E(X)=\frac{40000-296009}{296010}\, \$\\\\E(X)=-0.865\, \$

We conclude that  expected value of this game is -0.865$.

You might be interested in
Dan has the same number of nickels and dimes in his piggy bank. If the total amount of those coins is $0.90, how many of each co
SpyIntel [72]

Answer:

6.

Step-by-step explanation:

We can start by defining a couple things.

x = amount of nickels

y = amount of dimes

Since he has the same amount of each, we can say this.

x = y

And because we know it totals 0.90, we can say this.

0.05x + 0.10y = 0.90

then, we substitute and get this.

0.05x + 0.10x = 0.90

Simplify.

0.15x = 0.90

Divide both sides by 0.15.

x = 6

So we have 6 nickels, and they both are the same, so we have 6 dimes.

4 0
4 years ago
The scatterplot shows the time it takes for a new hot plate to boil various amounts of water, and one lab group’s attempt at a l
Alinara [238K]

Answer:

The correct option is;

The line of best fit is not reasonable because it has more points below it than above it.

Step-by-step explanation:

Here we note that there are a total of seven points in the scatter plot and there are five of the points below the line of best fit and just two above the line.

Of the five points below the line of best fit, four are just about touching the underside of the line while one of the two points above the line is just about touching the line.

The proper positioning of the line can be reviewed, therefore, with a line drawn through the four points presently touching the underside of the line of best fit.

3 0
3 years ago
Read 2 more answers
Required<br> What is the solution for the system below:<br> y = x + 1 and y = x + 1
Dmitry_Shevchenko [17]

Answer:

Y TO THE POWER 3 BY DIVIDING Y ON BOTH SIDES YOU WILL GET Y TO THE POWER 3

Step-by-step explanation:

3 0
3 years ago
A grocery store needed eight hundred ninety five cans of peas.If the peas came in boxes with thirty two cans in each box,how man
Ronch [10]

Answer:

28 boxes

Step-by-step explanation:

We need to take the total number of cans needed and divide by the number of cans per box to determine the number of boxes

895 / 32 =27  with 31 left over

Making this a fraction

27 31/32 boxes

We cannot normally order part of a box

Rounding up to the next whole box

28 boxes

6 0
3 years ago
Omar has a new credit card. He earns
Mnenie [13.5K]

Answer:

$600

Step-by-step explanation:

Omar spent $600.

Essentially, we divide his total number of points:

1800

by the amount earned

300

=

6

we take that and multiply by 100 (our amount needed to be spent to earn points) and boom, problem solved.

4 0
3 years ago
Other questions:
  • A teenager pulls a rope to the left with a force of 12 N. A child pulls on the other end of the rope to the right with a force o
    11·1 answer
  • Select all irrational numbers.
    6·1 answer
  • Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the high temperature for the day is 10
    14·1 answer
  • Identify the horizontal asymptote of each graph
    10·1 answer
  • Which statement about the ordered pairs (-9, 3) and (2, - 4) is true for the equation 6.0 6x - 142 2 9. 3) is a solution to the
    5·1 answer
  • Which expression means “ multiply 3 by the sum of m and p “
    15·1 answer
  • PLZZZZZZZZ BRAINILEST
    10·1 answer
  • I will give brainlest
    11·2 answers
  • A student obtain 85 ,90,95,100and 75 in his maths test (1). What is the average of his test grades?
    6·2 answers
  • A package of 85 paper plates costs $8.08, while a package with 55 paper plates costs $4.40. Which is the better buy? Round your
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!