A single card is drawn from a standard deck of cards. Find the probability if the given information is known about the chosen card. (Enter the probability as a fraction.) P(queen|black)

Answers

Answer 1

Answer:

[tex]\frac{1}{13}[/tex]

Step-by-step explanation:

Given: A single card is drawn from a standard deck of cards.

To find: P(queen | black)

Solution:

Probability refers to chances of occurrence of any event.

Use the formula: P(A | B) = P(A∩B) ÷ P(B)

Let A denotes the event that the card drawn is queen.

Let B denotes the event that the card drawn is black.

Total number of cards = 52

Probability = Number of favorable outcomes ÷ Total number of possible outcomes

P(queen ∩ black) = P(card drawn is black and queen)

= [tex]\frac{2}{52}=\frac{1}{26}[/tex]

P(black) [tex]=\frac{26}{52}=\frac{1}{2}[/tex]

Therefore,

P(queen | black) = P(queen ∩ black) ÷ P(black)

= [tex]\frac{\frac{1}{26} }{\frac{1}{2} }=\frac{2}{26}=\frac{1}{13}[/tex]


Related Questions

What value of x makes 2x - 7 = 13 true?

Answers

Answer: x=10, is the correct answer.

Step-by-step explanation:

If there are 42 boys and 54 girls in a room, fill out all of the possible
ratios of boys to girls that could be made.
There are 42 boys for every 54 girls (42:54 ratio)

Answers

Answer:

21:27 and 14:18

Step-by-step explanation:

We can solve this by using common factors

one of the common factors of 54 and 42 is 3

42/3=14

54/3=18

so one of the ratios is 14:18

another common factor is 2

42/2=21

54/2=27

so another ratio is 21:27

3/4 to the 2nd power ​

Answers

[tex]Your[/tex] [tex]answer[/tex] [tex]would[/tex] [tex]be.[/tex]

[tex]3/4[/tex] [tex]to[/tex] [tex]the[/tex] [tex]second[/tex] [tex]power[/tex] [tex]is[/tex] [tex]9/16[/tex] [tex]or[/tex] [tex]0.5625[/tex]

[tex]- Yaoii[/tex]

What percent of people surveyed from San Francisco wear Adidas shoes? Round to the nearest percent when necessary.

Answers

Answer:

33

Step-by-step explanation:

Add 165 and 80 to get 245. 80 times 3 = 240.

So 80 is around 1/3 of 240. In other words it is around 33%

Answer:

5

Step-by-step explanation:

What is the answer and quick

Answers

Answer:

25%

Step-by-step explanation:

if you divide into five equal parts it’s going to be 20%

Solve the proportion 3/x+1 = 1+2

Answers

Answer:

x = 5

Common denominator of 3/x+1 to 1/2

If the numerator is 3 times, then so is the denominator in a proportion.

3/1=x+1/2

x+1 must equal 6 for the proportion to be equal to 1/2.

6-1=5, so x is 5.


A (5,3) and B(3,-2) are two fixed points. Find the equation of the locus of P, so that the
area of triangle PAB is 9.​

Answers

Answer:

[tex]37=5x-2y,\,1=5x-2y[/tex]

Step-by-step explanation:

If [tex](x_1,y_1),\,(x_2,y_2),\,(x_3,y_3)[/tex] are coordinates of a triangle then area of a triangle is equal to [tex]\frac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|[/tex]

Let point P be [tex](x,y)[/tex]

Put [tex](x_1,y_1)=(5,3),\,(x_2,y_2)=(3,-2),\,(x_3,y_3)=(x,y)[/tex]

Area of a triangle = [tex]\frac{1}{2}|5(-2-y)+3(y-3)+x(3+2)|[/tex]

[tex]=\frac{1}{2}|-10-5y+3y-9+5x|\\\\=\frac{1}{2}|-19+5x-2y|[/tex]

Also,

Area of a triangle = 9 square units

[tex]9=\frac{1}{2}|-19+5x-2y|\\\\18=|-19+5x-2y|[/tex]

±18 = -19 + 5x - 2y

[tex]18=-19+5x-2y,\,-18=-19+5x-2y\\\\37=5x-2y,\,1=5x-2y[/tex]

if I have five gallons of paint and I used 3/4 of the five gallons how much do I have left over ​

Answers

Answer:

4.25

Step-by-step explanation:

5-3/4=4.25

Simplify 8 – 2(3x – 36) + 4x
A. 22x - 216
B. -2x – 288
C. -2x + 80
D. X + 900

Answers

Answer:

C. -2x + 80

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

8 - 2(3x - 36) + 4x

Step 2: Simplify

[Distributive Property] Distribute -2:                                                                8 - 6x + 72 + 4x[Addition] Combine like terms (x):                                                                   -2x + 8 + 72[Addition] Combine like terms (Z):                                                                   -2x + 80

besties help what's 84÷n=6​

Answers

Answer:

14

Step-by-step explanation:

When one encounters a problem like this all one must do is divide the number to the left (84) by the number on the right (6) then to double check divide the outcome by the number on the left or multiply the outcome by the one on the right.

Feel free to check the equations below:

84 divided by 6 = 14

84 divided by 14 = 6

14 times 6 = 84

84 ÷ 14 = 6

I need help ASAP pls

Answers

Answer:

(D) y = 75x ... hope that helps!

A cube is numbered 1 through 6. If the cube is rolled twice, how many of the possible outcomes will have two
numbers?
O 3
O9
O18
O36

Answers

Answer:

36

Step-by-step explanation:

The outcome could be any number 1 through 6.

Hope halps

Martin had a lemonade stand in the summer. He sold 8 drinks every hour. How much time would it take Martin to sell 32 drinks? (just put the number in the answer)

Answers

Answer:

4 hours

Step-by-step explanation:

32/8=4

Answer:

4 Hours

Step-by-step explanation:

just divide 32 by 8

|2x-3|=2

What is x?

Pls Help I need help very very BADDDDD!

Answers

Answer:

Hey! Hope this helps!

Step-by-step explanation:

Have an awesome Friday <3

in a class of 34 students, 19 of them are girls.
What percentage of the class are girls?
Give your answer to 1 decimal place.​

Answers

Answer:

55.8% close to 56% :)

Step-by-step explanation:

Answer:

I think it's 55.88%

Step-by-step explanation:

Given the system of linear equations Part A: Graph the system of linear equations. Part B: Use the graph created in Part A to determine the solution to the system. Part C: Algebraically verify the solution from Part B.

Answers

We have:

The system of linear equations:

x+6y=6

y=1/3 x−2

Part A: Graph is shown in the picture.

Part B: The intersection point is (6, 0)

x = 6

y =0

Part C: By substitution method.

x  = 6

y = 0

Thus, the solution to the system of linear equations x+6y=6 and y=1/3 x−2 is x = 6 and y = 0.

give me brainliest nerd

The graph of the system of linear equations is represented below.

The solution for the equations x+6y=6 and y= 1/3 x - 2 are x = 6 and y = 0.

What is an equation?

A set of variables called an equation is one in which two mathematical expressions are equivalent to one another.

The given system of linear equations,

x+6y=6              (1)

And, y= 1/3 x - 2       (2)

Part A : The graph of the equations shown below:

Part B :

The lines intersect each other at (6, 0)

Therefore, the solution for the equations are x = 6 and y = 0.

Part C:

Substitute the value of x= 6 in the equation (1),

6 + 6y = 6

y = 0.

Also substitute the value of x = 6 in equation (2)

y = (1/3)x6 - 2

y = 2 - 2

y = 0

To know more about Equation on:

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HELP I NEED HELP!!!

Answers

hi! so what you want to do is first set up a proportion, if you know that the two triangles are congruent because abc~def you know that the proportion will work out. the proportion to set up is 54/72 from there you should know that 9 goes into both 72 and 54 so when you reduce you’d be left with 6/9 which you could further reduce to 2/3. then you can find the other sides by multiplying 92 by 2/3 and you’d get 61 and 84 by 2/3 where you’d get 56. However since you are supposed to find the perimeter, you would add all three sides together (54+56+61) and you’d be left with 171. hope this helps

Find the inverse of square root f(n) = n – 3.
Of(n) = (n + 3)
Of-1 (n) = yn +1
Of-1 (n) = -n° +1
Of-1 (n) = -n3 – 3

Answers

Answer:

[tex]f'(n) = n + 3[/tex]

Step-by-step explanation:

Given

[tex]f(n) = n - 3[/tex]

Required

The inverse

[tex]f(n) = n - 3[/tex]

Replace f(n) with y

[tex]y = n - 3[/tex]

Swap positions of y and n

[tex]n = y - 3[/tex]

Make y the subject

[tex]y = n + 3[/tex]

Replace y with f'(n)

[tex]f'(n) = n + 3[/tex]

I need help! I’m stuck on this problem!!

Jackie is five times as old as her son Elijah. The sum of their ages is 48. How old is Elijah?

Answers

Answer:

Elijah is 8.

Step-by-step explanation:

8 x 5 = 40 (Jackie is 40)

40 + 8 is 48!

Answer:

97.9% sure its 8

Step-by-step explanation:

What is an equation of the line that passes through the point (8,-8)(8,−8) and is perpendicular to the line 4x-3y=184x−3y=18?

Answers

Answer:

The equation of the line is [tex]y = -\frac{3x}{4} - 2[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Perpendicular lines:

When two lines are perpendicular, the multiplication of their slopes is -1.

Perpendicular to the line 4x-3y=18

First, we place this line into the format, to find the slope:

[tex]4x - 3y = 18[/tex]

[tex]3y = 4x - 18[/tex]

[tex]y = \frac{4x}{3} - 6[/tex]

This line has slope 4/3. So, for the perpendicular line, the slope will be of m as such:

[tex]\frac{4m}{3} = -1[/tex]

[tex]4m = -3[/tex]

[tex]m = -\frac{3}{4}[/tex]

So the desired line will have an equation in the following format:

[tex]y = -\frac{3x}{4} + b[/tex]

Passes through the point (8,-8)

We use this to find b. This point means that when [tex]x = 8, y = -8[/tex]. So

[tex]y = -\frac{3x}{4} + b[/tex]

[tex]-8 = -\frac{3*8}{4} + b[/tex]

[tex]-8 = -6 + b[/tex]

[tex]b = -2[/tex]

So

[tex]y = -\frac{3x}{4} - 2[/tex]


please help 7th grade math

Answers

Answer:

8

Step-by-step explanation:

The mode is the number that appears most in the data set.

8 appears twice while all the other only appear once.

if 2x+y=8 and x+2=5. what is the value of y?​

Answers

Answer:

y=2

Step-by-step explanation:

x+2=5

x= 5-2

x= 3

2x+y=8

2×3+y=8

6+y=8

y=8-6

y=2

Answer:

y=2

Step-by-step explanation:

First solve x+2=5 to find x.

x+2=5

  -2  -2

x=3. Substitute x=3 into 2x+y=8.

(2 x 3) + y = 8

Now solve.

6 + y = 8

-6         -6

y=2.

Hope I helped x

I don’t understand, can someone help ?

Answers

Answer:

d.   tan (35) =  [tex]\frac{x}{10}[/tex]

Step-by-step explanation:

You must memorize the definitions of all the trig functions.

Tan of an angle = opposite side/adjacent side

In your case, the opposite side of the 35° angle is x and the adjacent side of the 35° angle is 10

So, tan 35 = x/10

Find the volume of this figure.

Answers

The answer is a because we don’t care

Which expression is equivalent to the given expression? Assume the denominator does not equal zero. 12x^9y^4/6x^3y^2

Answers

Answer:

The correct answer is 2x^6y^2

Step-by-step explanation:

I got it right. Hope this helps.

An expression is defined as a set of numbers, variables, and mathematical operations. The solution of the given expression (12x⁹y⁴)/(6x³y²) is 2x⁶y².

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression (12x⁹y⁴)/(6x³y²) can be solved as,

(12x⁹y⁴)/(6x³y²)

= (12/6) x⁽⁹⁻³⁾ y⁽⁴⁻²⁾

= 2x⁶y²

Hence, the solution of the given expression (12x⁹y⁴)/(6x³y²) is 2x⁶y².

Learn more about Expression:

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Find the VOLUME of each prism. Round to the nearest tenth if necessary.
9 ft
11 ft
8 ft
Your answer​

Answers

Answer: 792

Step-by-step explanation:

9*8= 72

72*11= 792

Length* Height* Depth= Area

help find the surface area

Answers

Answer is above me. Have a good day.

Answer:

9yd

Step-by-step explanation:

Because you have to look at the sides.

please help with this math problem ​

Answers

Answer:

7, 15

Step-by-step explanation:

hope it can help you

Step-by-step explanation:

14/2 =7 so

(x+7)^2 + [  ]

if you were to multiply just the (x+7)^2 term it would look like x^2 +14x+49, but we need that final term to be equal to 64, so you can add 15 on to the end to make up for the gap.

This should get you

f(x) = (x+7)^2 + 15

HELP ITS DUE IN 4 MINUTES

Answers

Answer:

3rd choice

4th choice

1st choice

2nd choice

A sample of 50 potential customers was asked to use your new product and the product of the leading competitor. After one week, they were asked to indicate which product they preferred. In the sample, 30 potential customers said that they preferred your product. (a) Find the sample proportion. (5 points) (b) Find the 95% confidence interval for the proportion of potential customers who prefer your product. (10 points) (c) If you want the 95% maximum likely error to be 0.08 or less, what would you choose for a sample size

Answers

Answer:

a) The sample proportion is of 0.6.

b) The 95% confidence interval for the proportion of potential customers who prefer your product is (0.4642, 0.7358).

c) A sample size of 145 is needed.

Step-by-step explanation:

(a) Find the sample proportion.

30 out of 50. So

[tex]\pi = \frac{30}{50} = 0.6[/tex]

The sample proportion is of 0.6.

(b) Find the 95% confidence interval for the proportion of potential customers who prefer your product.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

For this problem, we have that:

[tex]n = 50, \pi = 0.6[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6*0.4}{50}} = 0.4642[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6*0.4}{50}} = 0.7358[/tex]

The 95% confidence interval for the proportion of potential customers who prefer your product is (0.4642, 0.7358).

(c) If you want the 95% maximum likely error to be 0.08 or less, what would you choose for a sample size

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

We need a sample size of n, and n is found when M = 0.08. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.08 = 1.96\sqrt{\frac{0.6*0.4}{n}}[/tex]

[tex]0.08\sqrt{n} = 1.96*sqrt{0.6*0.4}[/tex]

[tex]\sqrt{n} = \frac{1.96*sqrt{0.6*0.4}}{0.08}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*sqrt{0.6*0.4}}{0.08})^2[/tex]

[tex]n = 144.1[/tex]

Rounding up

A sample size of 145 is needed.

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