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Softa [21]
1 year ago
10

Consider dealing a hand of 8 cards from a well shuffled standard deck of playing cards. The expected value of the number of face

cards in the hand is (Q
Mathematics
1 answer:
zzz [600]1 year ago
8 0

Answer:

2 face cards

Step-by-step explanation:

By definition, there are 12 face cards (Kings, queens, and jacks) and 36 numbered cards (2's through 10's) in a standard deck of 52 cards.  Aces are not considered face cards (no face on the card).

The ratio of face cards in a full deck is (12/52) or slightly over 23%.

The likelihood of a face card in a hand of 8 cards is:

(8 cards)*(12 face cards/52 cards) = 1.85 cards.  We need to round to the nearest whole card, so the expected number of face cards in a hand of 8 is 2 cards.  

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Find the average value of f over region
yan [13]
The area of D is given by:

\int\limits \int\limits {1} \, dA = \int\limits_0^7 \int\limits_0^{x^2} {1} \, dydx  \\  \\ = \int\limits^7_0 {x^2} \, dx =\left. \frac{x^3}{3} \right|_0^7= \frac{343}{3}

The average value of f over D is given by:

\frac{1}{ \frac{343}{3} }  \int\limits^7_0  \int\limits^{x^2}_0 {4x\sin(y)} \, dydx  = -\frac{3}{343}  \int\limits^7_0 {4x\cos(x^2)} \, dx  \\  \\ =-\frac{3}{343} \int\limits^{49}_0 {2\cos(t)} \, dt=-\frac{6}{343} \left[\sin(t)\right]_0^{49} \, dt=-\frac{6}{343}\sin49
3 0
3 years ago
PLEASE ANSWER ASAP FOR BRAINLEST, REALLY EASY QUESTION!!!!!!!!!!!!!!!!!!!!!!!
jeka57 [31]

Answer:

A

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questio
nlexa [21]

The measure of angle ∠ACB is 70°. Then the correct option is C.

<h3>What is the triangle?</h3>

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

∠ABC + ∠BCA + ∠CAB = 180°

        60° + ∠BCA + 50° = 180°

                           ∠BCA = 180° – 110°

                           ∠BCA = 70°

Then the correct option is C.

The complete question is given below.

Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.

The measure of ABC is 60

The measure of BAC is 50

The measure of ACB will be

a. 50

b. 60

c. 70

d. 120

More about the triangle link is given below.

brainly.com/question/25813512

#SPJ1

4 0
1 year ago
What are the steps to writing an equation from a graph? Give at least three steps.
zhannawk [14.2K]

Answer:

1. Calculate the slope from 2 points.

2. Substitute either point into the equation.

3.Solve for b, which is the y-intercept of the line.

4. Substitute b, -1, into the equation from step 2.

Step-by-step explanation:

I gave you one extra than what you expected, if thats ok.

Hope this helps : )

6 0
3 years ago
PLZ HURRY
snow_lady [41]

Answer:

1. 615.75

2. 9

Step-by-step explanation:

6 0
3 years ago
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