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antoniya [11.8K]
3 years ago
12

Jim bought the game system on sale for $195. Kaylen bought the same system at full price for $250. How much was the sale when ji

m bought the game system?
Mathematics
1 answer:
Arisa [49]3 years ago
3 0
The sale was 55$ because if you subtract those you get 55 which is the difference between the two
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Consider a game in which players draw playing cards one at a time from a standard 52-card deck. If a player draws a face card (a
aev [14]

Answer:

Expected value of drawing a card in this game on the first turn = 6

Step-by-step explanation:

Given - Consider a game in which players draw playing cards one at a time from a standard 52-card deck. If a player draws a face card (a jack, a queen, or a king), the player is awarded 16 points. Any other card drawn earns the player 3 points.

To find -  What is the expected value of drawing a card in this game on the first turn?

Formula used -

Expected value, E[x] = ∑ x p(x)

where p(x) is the probability

Proof -

Total cards in a standard deck = 52

Total face cards = 12 (a jack, a queen, or a king)

Other cards = 40

Now,

Probability of getting a face card = \frac{12}{52}

Probability of getting a other card = \frac{40}{52}

So,

Expected value, E[x] = ∑ x p(x)

                                  = (16)(\frac{12}{52}) + (3)(\frac{40}{52})

                                  = \frac{192}{52} + \frac{120}{52}

                                  = \frac{312}{52}

                                  = 6

∴ we get

Expected value of drawing a card in this game on the first turn = 6

So,

The correct option is - B. 6 points

4 0
3 years ago
The volume of a cube is 1.8 m3. Find the length of its edge to the nearest tenth of a
Firdavs [7]

The length of an edge is the cubic root of the volume.

Cubic root 1.8 = 1.2 meters

5 0
2 years ago
What is the value of | 3 |?
pshichka [43]
The answer is 3 since you only move 3 spots from 0
4 0
3 years ago
!!!!HELP NEEDED!!!!
Svetllana [295]

It is true that the product of two consecutive even integers are always one less than the square of their average.

<u>Step-by-step explanation</u>:

Let the two consecutive odd integers be 1 and 3.

  • The product of 1 and 3 is (1\times3)=3
  • The average of 1 and 3 is (1+3)/2 =4/2 = 2
  • The square of their average is (2)² = 4

∴ The product 3 is one less than the square of their average 4.

Let the two consecutive even integers be 2 and 4.

  • The product of 2 and 4 is (2\times4)=8
  • The average of 2 and 4 is (2+4)/2 =6/2 = 3
  • The square of their average is (3)² = 9

∴ The product 8 is one less than the square of their average 9.

Thus, It is true that the product of two consecutive even integers are always one less than the square of their average.

4 0
3 years ago
Factor the GCF: −6x4y5 − 15x3y2 + 9x2y3 (5 points)
MissTica
-6x^4y^5-15x^3y^2+9x^2y^3

The GCF OF -6, -15, & 9, is -3
The GCF OF x's is x^2
The GCF OF y's is y^2
These are the number of x's and y's that each term has.
-3x^2y^2(2x^2y^3+5x-3y)
LETTER B
3 0
3 years ago
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