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svlad2 [7]
3 years ago
11

Solve for X 3 (x+1)=9

Mathematics
1 answer:
gogolik [260]3 years ago
6 0

Answer:

x=2

Step-by-step explanation:

3(x+1)=9

3x+3=9

3x=6

x=2

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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
Replace ... with ≥ or ≤ so that the derived inequality will be true for any value for x: x^2-16x+64 ... 0
ankoles [38]

Answer:

≥

..................................................

8 0
2 years ago
3x−8≤23 OR −4x+26≥6 solve for x
Mama L [17]

Answer:

x  ≤ 31/3

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
bobby’s christmas list had 3 more than twice as many items on it than johnny’s list. johnny asked for 8 fewer items than bobby.
Nataly [62]

Answer:

<em>Johnny had </em><em>5</em><em> items and Bobby had </em><em>13</em><em> items.</em>

Step-by-step explanation:

Let us assume that Johnny has x items and Bobby has y items in their list.

Bobby had 3 more than twice as many items on it than Johnny. So,

\Rightarrow y=3+2x  ----------1

Johnny asked for 8 fewer items than bobby. So,

\Rightarrow y-8=x  -----------2

Putting the value of x from equation 2 in equation 1, we get

\Rightarrow y=3+2(y-8)

\Rightarrow y=3+2y-16

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\Rightarrow y=13

Putting the value of y in equation 2,

\Rightarrow 13-8=x

\Rightarrow x=5

So, Johnny had 5 items and Bobby had 13 items.

3 0
3 years ago
Hamburger sells for 3 pounds for 6$. If Samantha buys 10 pounds of hamburger, how much will she pay?
Afina-wow [57]
She will pay 20$ for 10 pounds of hamburger
3 0
3 years ago
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