2 Points

A card game is being played and the 5 of spades, 9 of spades, and 9 of hearts

are drawn from a single deck. In order to win, the next card the player draws

from the deck must be higher than the highest card already drawn. What is

the probability that the next card the player draws is a winning card? (An ace

is considered to have a value of 1 and jacks, queens, and kings have a value

of 10.) Hint: A deck has 52 cards, 4 suits, and each suit has A, 2,3,4,5,6,7,8,

9,10,J,Q,K,

A. 25%

B. 24%

C. 32.6%

D. 8%

Answers

Answer 1

Answer:

C) 32.6%

Step-by-step explanation:

Given:

Total number of cards = 52

3 Cards already drawn = 5 of spades, 9 of spades, and 9 of hearts.

To win the next card drawn must be greater than the highest card already drawn.

Required:

Find the probability of winning

Here, the highest card already drawn is 9 of spades or 9 of hearts.

The cards higher than 9 of spades or 9 of hearts are four in number (10, J, Q, K). Since, we have 4 suits, the highest cards remaining are 4 * 4 = 16.

Also, a total of 49 cards are remaining since 3 cards are already drawn (52 - 3 = 49).

Therefore, the probability that the next card the player draws is a winning card: [tex]\frac{16}{49} = 0.326[/tex]

Convert to percentage:

0.326 * 100 = 32.6%


Related Questions

A man spends 2/5 of his salary on food, 3/10 on his rent and 1/8 on other expenses. What fraction of his salary is still left with him?

Answers

Answer:

[tex]\frac{7}{40}[/tex]

Step-by-step explanation:

[tex]1-(\frac{2}{5}+\frac{3}{10}+\frac{1}{8})[/tex]

[tex]1-\frac{33}{40}[/tex]

[tex]\frac{7}{40}=0.175[/tex]

Answer:

7/40 is still left with him.

Step-by-step explanation:

LCM 5,10,8 = 40

2/5 = (x8) = 16/40 = food

3/10 = (x4) = 12/40 = rent

1/8 = (x5) = 5/40 = other expenses.

16/40 +12/40 + 5/40 = 33/40

40/40 - 33/40 = 7/40

Which graph has a slope of -3?

Answers

Answer:

fourth picture

Step-by-step explanation:

The analysis the fourth one

can someone help with this?

Answers

Answer:

Figure 1

The coordination of D is (a,0) and E is (b,c)

figure 2

The coordination of D is (0,b) and E is (a,0)

please!!1!1!
the triple of the area of ​​a square is 1587 m2 What is the side of the square?

Answers

Answer:

23 m

Step-by-step explanation:

Given that triple the area = 1587 m² , then

area = 1587 ÷ 3 = 529 m²

The area of a square = s² ( s is the measure of the side ), thus

s² = 529 ( take the square root of both sides )

s = [tex]\sqrt{529}[/tex] = 23 m

WILL GIVE BRAINLIEST! 20 POINTS!

Answers

Answer:

The second option

Step-by-step explanation:

Since CD is a perpendicular bisector of AB, D is equidistant from both A and B

Answer:

B.

Step-by-step explanation:

A perpendicular bisector is equidistant from two points. In this case, AD and CD are the same distance.

Asha found that a vertical line intersects the graph of x = StartAbsoluteValue y EndAbsoluteValue at two points. What can Asha conclude about x = StartAbsoluteValue y EndAbsoluteValue?
A. It is a function of x but not a relation.
B. It is a relation but not a function of x.
C. It is both a function of x and a relation.
D. It is neither a function of x nor a relation.

Answers

Answer:

B. It is a relation but not a function of x.

Step-by-step explanation:

I just took the quiz on edge

Answer:

B. It is a relation but not a function of x

Step-by-step explanation:


Which of the following is a random sample?

Answers

Answer:

A.

Step-by-step explanation:

A. City voters were asked about candidates. That seems to be random.

B. A survey about singers took place at a specific concert. Naturally, the people who are there like this singer. It is not random.

C. Customers were asked about food at a pizza shop. Naturally, they like pizza. This is not random.

D.  An email survey was sent. Mostly people who own computers will respond. This is not random.

Answer: A.


Travis has the following problem for homework:
82 - 16 x 4 + 18+ [(36/6) - 2]
His neighbor, Ted, says "just solve it working left to
right." Ted gets an answer of 51.
What is the correct answer? (Hint: Ted doesn't know
PEMDAS).​

Answers

Answer:

The correct answer is -4

Step-by-step explanation:

First you have to solve what is in the parenthesis. So do 36/6 which is 6 and then subtract 2 to get 4. Then you have to do the multiplication so 16 x 4 and you get 64. then you can go left to right. 82-64+18+4 and when you do that you get -4

Find the area of the following shapes:

Answers

Answer:

24 square units

Step-by-step explanation:

You apply area of a trapezium

find the area of this figure

Answers

Answer: 49.12 ft²

Step-by-step explanation:

To find the area of this figure, we can separate it into 2 parts. We can find the area of the semi circle and the area of the triangle. Then we add together to areas.

Area of Triangle

A=bh/2

A=6(8)/2

A=48/2

A= 24 ft²

Area of Semi Circle

A=πr²/2  (Divide by 2 because semi circle is half of a circle, so we divide the area by 2)

A=π(4)²/2

A=(3.14)(16)/2

A=25.12 ft²

Total area

A=24+25.12=49.12 ft²

Which would be used to solve this equation? Check all that apply.
p/3=12
subtracting 3 from both sides of the equation
multiplying both sides of the equation by 3
dividing both sides of the equation by 3
substituting 4 for p to check the solution
substituting 36 for p to check the solution

Answers

Answer: multiplying both-side of the equation by 3 substituting 36 for p to check the solution

Step-by-step explanation: Help I help

What is the explicit formula for the sequence?
7, 2, –3, –8, –13, . . .

Answers

Answer: Choice A,  [tex]a_n = -5n+12[/tex]

===========================================================

Explanation:

[tex]a_1 = 7[/tex] is the first term

[tex]d = -5[/tex] is the common difference, telling us to add -5 to each term to get the next term. This is the same as subtracting 5 from each term

The nth term of the arithmetic sequence is,

[tex]a_n = a_1 + d(n-1)\\\\a_n = 7 + (-5)(n-1)\\\\a_n = 7-5(n-1)\\\\a_n = 7-5n+5\\\\a_n = -5n+12\\\\[/tex]

----------------

As a check, let's plug in n = 4 and we should get -8 as our fourth term

[tex]a_n = -5n+12\\\\a_4 = -5(4)+12\\\\a_4 = -20+12\\\\a_4 = -8\\\\[/tex]

so that confirms that portion of the sequence. I'll let you check the other values.

What would be the cost for 5 of the gift cards?

Answers

Answer:100 is the answer

Step-by-step explanation: your going up 20 every dot my G

Answer:

$100

Step-by-step explanation:

A bag contains 5 red, 8 black, 7 purple, and 10 yellow marbles. what is the probability of first selecting a purple marble, replaced gn it and then selecting a red marble?

Answers

Answer:

7/30 purple  and 5/30 red or 1/6 red

Step-by-step explanation:

if u have a total of 30  marbles and 7 are puple the odds are 7/30 and if u put it back and take out another one the odds of getting a red are 5 out of 30 because there are still 30 and 5 out of the 30 are red  but 5/30 = 1/6

A golfer exerts a force of 15.0 N on a golf ball that has a mass of 0.42 kg. What is the golf
ball's acceleration?

Answers

Answer:

35.71m/s²

Step-by-step explanation:

using the formula force(F)=mass(m)×acceleration(a)

a =

[tex] \frac{f}{m} [/tex]

F=15.0N

m=0.42kg

a=?

a=15÷0.42

a=35.71m/s²

Answer:

C

Step-by-step explanation:

John has $132.55 in his bank account. He wants to join a guitar class that charges a $15 fee every week. John plans to take the class for 12 weeks. If John pays for 12 weeks of guitar classes from his account, his account balance will be $.

Answers

Answer:

-47.45$

Step-by-step explanation:

B=132.55-15x

B=132.55-15*12

B=132.55-180

B=-47.45

-47.45$

As 12 weeks * 15$= 180
180$-132.55$= -47.45$

Wyatt uses 3.15 cups of flour in a
recipe that makes 9 shortcakes. Cora
uses 2.4 cups of flour in a recipe that
makes 8 shortcakes. How much more
flower per shortcake is needed for
Cora’s recipe?

Answers

Answer:

Step-by-step explanation:

Cora uses 0.3 cups of flower per cake. Wyatt uses 0.35 cups of flower per cake. I do not know what else you are asking for, but Cora does use 0.05 less cups of flower than Wyatt.

To find this all I did is divided flower by cakes to get flower per cake. I hope this helps!    

Answer:

1/20 cups

Step-by-step explanation:

Wyatt

3.15/9=315/900=7/20

Cora:

2.4/8=24/80=3/10

The difference:

7/20-3/10=7/20-6/20=1/20 cups

Find the slope-intercept form of an equation of the line perpendicular to the graph of x – 3y = 5 and passing through (0, 6).

Question 11 options:

a)

y = 13x − 2

b)

y = 3x – 6


c)

y = 13x + 2

d)

y = –3x + 6

Answers

Answer:

work pictured and shown

Which of the following statements correctly illustrate the addition property of equality?

Check all of the boxes that apply.

If a = b, then a + c = b + c.

If x = y, then x + 2 = y- 2.

If w + 2 = 7, then w + 2-2 = 7- 2.

Answers

Answer: The first one and the third one

Step-by-step explanation:

The first one because a+c would equal the same as b+c due to the fact that a and b are equal. The second one would be because when solving for w+2=7 then you would subtract 2 from both sides and get 5 and the second one states after being simplified that w=5

947/7 it is hard because it is confused

Answers

Answer:

135.2857142857143

Step-by-step explanation:

its right?

Answer:

7 x 1 = 1

9-7=2

7 x 3 = 21

24-21=3

7 x 5 = 35

37-35=2

135 remainder 2

Step-by-step explanation:

WILL MARK BRAINLIEST ANSWER
You are a judge and the following case have come before you. Apply the Rule and make a decision as to whether these "vehicles" can drive through the park. Explain your reasoning.
An ambulance has a dying car accident victim in it and is racing to the hospital. The shortest route is through the park, so the ambulance drives through.

Answers

Well, my decision would be to let these kinds of vehicles like ambulances, police cars, fire-fighter trucks, etc., drive through the park. The reason I'd decide to let these vehicles drive through the park is because, well, you never know if someone is in critical danger and needs urgent assistant. If the shortest route to get to the person is through the park, it'd be reasonable and understandable because you don't want that person do get hurt do you?

so sorry if I went a bit off. Although, I hope this helped, have a great day!

(Also can i have brainliest by any chance? ' - ')

I have finished the table but stuck in the question after...

Answers

Answer:

7/48

Step-by-step explanation:

there are 48 in total

there are 7 white females

7/48

What are the solutions to the system of equations?
x² + y² = 5
y= 2x

Answers

Answer:

(x1, Y1) = ('1, '2) (x2, Y2) = (1,2)

Step-by-step explanation:

I need help on this 10j< – 10

Answers

Answer:

j<-1

Step-by-step explanation:

10j<-10

divide both sides by 10 and get

j<-1

Answer:

[tex]j < - 1[/tex]

Step-by-step explanation:

[tex]10j < - 10 \\ \frac{10j}{10} < \frac{ - 10}{10} \\ = j < - 1[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

find the slope of the line that passses thruogh 1,5 and 10,9

Answers

Answer:  The slope is 4/9  or -4/-9.

Step-by-step explanation:

(1,5)  

(10,9)   Find the difference in the y values and divide it by the difference in the x values.

5-9= -4

1- 10= -9

-4/-9= 4/9

so the slope is 4/9  

Using the slope we could also find the y-intercept and write the equation.

5=4/9 (1) + b    where b is the y-intercept

  5= 4/9 + b

-4/9   -4/9

b= 41/9  

Now we will have the equation  y= 4/9 + 41/9

The function ƒ(x) = 4x + 1 is transformed to g(x) = 2x + 1. What type of transformation has occurred? A) Reflection and Vertical Translation B) Rotation C) Reflection D) Rotation and Vertical Translation

Answers

Answer:

B) Rotation

Step-by-step explanation:

The only difference between functions f(x) and g(x) is the slope. To get from f(x)=4x+1 to g(x)=2x+1, you would need to rotate slightly clockwise about point (0,1) - the y-intercept. This would make the graph less steep (2x is less steep than 4x) while still retaining the (0,1) y intercept.

Answer:

Rotation

Step-by-step explanation:

A picture was marked at $90.00. It was sold at 3/4 of its marked price. What was the sale price?

Answers

the answer is: $22.50

Answer: $67.50

Step-by-step explanation:

Marked price = $90

It is sold at 3/4 of marked price

3/4 of 90

3*4 x 90 = 135/2

= 67.50 = sale price

WILL GIVE BRAINLIEST AND 30 POINTS! Simplify −3 + i 7 + i . First, multiply both the numerator and denominator by . The product in the numerator is + i. The product in the denominator is

Answers

Answer:

-2 + i

------------

5

Step-by-step explanation:

(-3+i)/ (7+i)

Multiply by the complex conjugate

(-3+i)/ (7+i)  * (7-i)/(7-i)

Numerator

(-3+i)(7-i) = -21 +7i +3i -i^2 = -21 +10 i - (-1) = -21 +10i +1 =-20+10i

Denominator

(7+i)(7-i) = 49 +7i-7i - i^2 = 49 - (-1) = 49+1=50

Numerator over denominator

-20 + 10i

-----------

50

Divide by 10

-2 + i

------------

5

Answer:

(-2 + i) / 5

Step-by-step explanation:

(-3 + i)/(7 + i)= (-3 + i)(7 - i) / (7 + i)(7 - i)= (-21 + 3i + 7i - i²) / (49 - i²)= (-21 + 1 + 10i) / (49 + 1) =(- 20 + 10i) / 50 =(-2 + i) / 5

First, multiply both the numerator and denominator by =  7 - i

The product in the numerator is

- 2 + i

The product in the denominator is

5

Which of the following could be a solid of revolution?
(A) pyramid
(B) Rectangular prism
(C) sphere
(D) Cube

Answers

Answer:

I think it (B) a rectangle prism not to sure tho

Solve 7x - 1 = 20 help

Answers

Answer: x=3

Explanation:
7x-1=20
Add 1 to both sides
7x=21
Divide both sides by 7
X=3
Isolate the x in the equation.

First add both sides by one.

7x - 1 + 1 = 20 + 1

Simplify.

7x = 21

Divide each side by 7.

7x/7 = 21/7

Simplify.

x = 3
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