Two cards are randomly pulled out of a standard pack of 52 cards. What is the probability
that both are face cards?
A. 9/169
B. 12/221
C. 33/676
D. 11/221

Answers

Answer 1
Answer:  D.  11/221

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

Work Shown:

For any given suit, there are 3 face cards: Jack, Queen, King.

There are 4 suits, leading to 4*3 = 12 face cards out of 52 total.

The probability of pulling out a face card is 12/52.

After that card is selected, we have 12-1 = 11 face cards left and 52-1 = 51 cards left overall. This is assuming a replacement is not made, or the card is not put back.

The probability of getting another face card, given the first selection was a face card, is 11/51.

Multiplying the two fractions gives:

P(2 face cards) = P(1st facecard)*P(2nd facecard given 1st facecard)

P(2 face cards) = (12/52)*(11/51)

P(2 face cards) = (12*11)/(52*51)

P(2 face cards) = (3*4*11)/(13*4*3*17)

P(2 face cards) = (11)/(13*17)

P(2 face cards) = 11/221


Related Questions

In the triangle, AB is a midsegment. Find the value of x.

Answers

Answer:

X=10

Step-by-step explanation:

X-7=2x-17 (both are equal to each other)

Plug in 10 into x and you'll get equivalent expressions.

10-3= 20-17

3=3

correct :)

429 is 4 hundreds 29

Answers

Answer: yes

Step-by-step explanation: because that how many times it could go in too it

Answer:

huh?

Step-by-step explanation:

if your asking if 429 is 4 hundred and 29, then yes

Need answers to number 11 and step by step please
Much appreciated thank you

Answers

Answer:

∠1 = 43

∠2 = 17

∠3 = 120

∠4 = 60

∠5 = 60

∠6 = 60

∠7 = 17

∠8 = 120

∠9 = 43

Step-by-step explanation:

11) ΔABC is isosceles triangle. In isosceles triangle two sides are equal and angles opposite to two sides are equal  {Isosceles triangle property}

∠C = ∠A

      9x - 47 =  4x + 3

9x - 4x - 47 = 3

     5x - 47 = 3

           5x = 3 + 47

           5x = 50

              x = 50/5

x = 10

1 = 4x +3 = 4*10 + 3 = 40 + 3

∠1 = 43

∠9 = 43

ΔDBE is equilateral. So all angles are equal in equilateral.

Each angel in equilateral triangle = 180÷ 3 = 60

∠4 = ∠5 = ∠6 = 60

3 + 4 = 180     {linear pair}

3 + 60 = 180

      3 = 180 - 60

 ∠3 = 120

6 + 8 = 180    {linear pair}

60 + 8 = 180

      8   = 180 - 60

  ∠8 = 120

In ΔABD,

1 + 2 + 3 = 180            {angle sum property of triangle}

43 + 2 + 120 = 180

     2 + 163   = 180

             2     = 180 - 163

∠2 = 17

In ΔBEC,

7 +8 +9 = 180   {angle sum property of triangle}

7 + 120 + 43 = 180

    7   + 163 = 180

               7 = 180 - 163

              ∠7 = 17

Question 11
1 pts
If Mike Piazza has a batting average of 0.348, what is the
probability that he will hit safely 3 times out of the next 10
times at bat?
0.283
0.103
0.253
0.215

Answers

Answer:

283

Step-by-step explanation:

A baker made 30 pastries in 2 1/2 hours. how many pastries did the baker make in one hour?

Answers

Answer:

12 pastries

Step-by-step explanation:

30/2.5 = 12

check:

12(1 hour) +12(1 hour) +6(Half hour) = 30

Brenda has 3 apples and tila has 5 bananas how many more bananas are there then apples

Answers

Answer:2

Step-by-step explanation: 5  - 3 = 2

Draw a number line model to determine -9 + (-2)

Answers

The answer would be -11

Answer:

I put a photo containing what you should write

Evaluate the function below:
f(x)=-3x-4
f(2) + f(3)

A. -5
B. -23
C. -7
D. 3
E. -13

(You can ignore the Excited, Nervous, etc. apparently my algebra teacher thinks we are preschoolers)

Answers

Answer:

B. -23

Step-by-step explanation:

[-3x(2)-4]- [-3x(3)-4]= -23

Tara’s bill at the nail salon came to $36.50, and she wants to leave her technician a 20% tip. What will Tara’s total cost be?

Answers

36.50 * 0.20 = 7.30
36.50 + 7.30 = total cost
Total cost = $43.80

solve for x -1.5x - 3.1 < 5.5

Answers

Answer:

x>-17.2

Step-by-step explanation:

Simplify both sides of the inequality

-0.5x-3.1< 5.5

Add 3.1 to both sides

-0.5x< 8.6

Divided both sides by -0.5

x>-17.2

Hope this helped! :)

Please help me!! PLEASE

Answers

Answer:

the milk jug

Step-by-step explanation:

milk is usually sold in gallons... showers use up a lot more than a gallon... measuring cups are too small to measure gallons

Toni bought some jazz records at $4 each and some classical records at $6 each. If her purchases totaled $46,?
find all possibilities for the number of each type of record that she bought.

Answers

Answer:

1 jazz and 7 classical; 4 jazz and 5 classical; 7 jazz and 3 classical; 10 jazz and 1 classical

Step-by-step explanation:

Turn the problem into an equation with x representing the number of jazz records and y as the number of classcial records. The equation will look like this: 4x+6y=46

We can graph this equation

The possibilites are when both the x and y are positive and are whole numbers because you can't buy negative records and you can't buy fractions of records.

Which expression is equivalent to 3a^2b•4bc^2

Answers

Answer

Step-by-step explanation:

C


Given the relation y = 3x^2 + 1, if the input is 4, what is the output?

13
48
49
145

Answers

Answer:

(C) 49

Step-by-step explanation:

y=3.4^2+1

y=3.16+1

y=48+1=49

=>Output is 49.

Answer:

(c) 49

Step-by-step explanation:

I did the quiz and got this answer correct :)

1. Simplify (5 - 21) (2 + 6i) - (4-1)
Step by step

Answers

Answer:

-35 - 96i

Step-by-step explanation:

(5 - 21) (2 + 6 ) ( -4-1 )

-16 (2 + 6i ) -3

(expand ) 16 (2 + 6 i ) = -32 - 96 i

32 - 96 i - 3

35 - 96i

Lime FG goes through the points (4,9) and (1,3). Which equation represents a line that is perpendicular to FG and passes through the point (2,0)

Answers

Answer:

First, we know that:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Then for line FG = f(x), we know that it passes through the points (4, 9) and (1, 3)

Then the slope is:

a = (9 - 3)/(4 - 1) = 6/3 = 2

f(x) = 2*x + b

To find the value of b we can use one of the points, i will use the point (1, 3)

this means that when x = 1, f(1) = 3.

Then:

f(1) = 3 = 2*1 + b

      3  = 2 + b

       3 - 2 = b = 1.

The line FG is f(x) = 2*x + 1.

For a general linear equation:

y = a*x + b

The equation for a perpendicular line is:

y = (-1/a)*x + c

We know that:

f(x) = 2*x + 1

The perpendicular line will be something like:

g(x) = (-1/2)*x + c

To find the value of c, we use the fact that this line passes through the point (2, 0), then:

g(2) = 0 = (-1/2)*2 + c

         0 = -1 + c

         1 = c

The line is: g(x) = (-1/2)*x + 1

PLEASE HURRY 5MINUTES

Read the excerpt from Blanca Flor.

The Narrator. Juanito took the thimble and started to carry the water from the lake. He worked as hard as he could, but soon he began to realize that the job really was an impossible one, and he knew he was doomed. He sat down and began to cry because his luck had abandoned him and because his parents' blessings offered no protection in that evil place. Blanca Flor watched Juanito's valiant effort to move the water. As she watched him crying, her heart was touched, and she decided to use her powers to help him. She knew that it was very dangerous to use her powers to help Juanito and to cross Don Ricardo, but she felt it was finally time to end her own torment. As Juanito cried, Blanca Flor took out her brush and began to brush his hair. She cradled Juanito in her arms and her soothing comfort soon put him to sleep . . .

[As soon as JUANITO is asleep, BLANCA FLOR gently puts his head down and leaves, taking the thimble with her.]

What do the stage directions at the end of the excerpt indicate?

They indicate that Blanca Flor is going to help Juanito.
They indicate that Juanito is doomed.
They indicate that Blanca Flor is running away.
They indicate that Don Ricardo will be back any minute.

Answers

Answer:A

Step-by-step explanation:

because  She cradled Juanito in her arms and her soothing comfort soon put him to sleep which means she wanted to help

Answer:

A)  It indicates that Blanca Flor is going to help Juanito.

Step-by-step explanation:

Use the number 7.14 to respond to the following:
Identify the whole number.

What is the farthest place value to the right?

Write the decimal in word form.

Write the decimal in expanded form.

Answers

9514 1404 393

Answer:

7hundredthsseven and fourteen hundredths7+.1 +.04

Step-by-step explanation:

Given:

  7.14

Find:

the whole numberthe farthest place value to the rightthe decimal in word formthe decimal in expanded form

Solution:

a) The whole number is the integer portion, the part of the number to the left of the decimal point: 7.

__

b) The right-most place value is hundredths.

__

c) seven and fourteen hundredths

__

d) There are several versions of "expanded form." Choose the one applicable to your curriculum.

  7.14 = 7 +0.1 + 0.04

  7.14 = 7×1 + 1×.1 + 4×.01

  7.14 = 7×10⁰ +1×10⁻¹ +4×10⁻²

Mia and her children went into a grocery store and where they sell apples for $2 each and mangos for $1.50 each. Mia has $20 to spend and must buy no less than 9 apples and mangos altogether. If Mia decided to buy 3 mangos, determine the maximum number of apples that she could buy. If there are no possible solutions, submit an empty answer.

Answers

Answer:

The maximum amount of apples she could buy is 7

Step-by-step explanation:

3 mangos would be 4.50 dollars. Subtract that from her current amount of money (20 dollars). You would get 15.5 dollars. Then, find how many apples she can buy with 15.5 dollars. You can't buy 8 because that would be above 15.5. So do the next smallest amount, 7.

To make his special energy drink, jerome uses 8 cups of water and 3 cups of drink mix what is the ratio of drink mix to water

Answers

Answer:

3:8 or 3 to 8 depending on how you personally write it

Step-by-step explanation:

In problems like these you just need to put the numbers in the order that the question asks you in. In this case it is asking for drink mix (3) to water (8) making it 3:8.

Answer:

I saw another question like this but it was the other way like "water to drink mix" and it was 8:3 so technically and mathematically it would be 3:8

Step-by-step explanation:

!!HELP ASAP!!(03.04 MC) Solve for x: (-6/5) x -4= -46

Answers

Answer:

x = 35

Step-by-step explanation:

(-6/5) x - 4 = -46

(-6/5) x - 4 + 4 = -46 + 4

(-6/5) x = -42

5(-6/5) x = 5(-42)

-6x = -210

-6x/6 = -210/-6

x = 35

a line passes through the point 2, -3 and has a slope of 9

Answers

Answer:

Y=9x-21

Step-by-step explanation:

(I'LL BE GIVING BRAINLIEST ON THIS ONE IF U HELP MEEE!! :D)

Answers

D is the answer for you problem

Assume that X has a normal distribution, and find the indicated probability.
The mean is p = 16.2 and the standard deviation is o = 0.95
Find the probability that X is greater than 16.2


0.5213
0.50
0.5103
0.65

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The temperature in Anchorage, Alaska was 4 degrees Fahrenheit at 2:00 PM. The temperature dropped 2.5 degrees per hour until 9:00 PM. The temperature dropped another 9 degrees by midnight.

How much colder was it at midnight than at 2:00 PM?

A.) 17.5 degrees colder
B.) 26.5 degrees colder
C.) 22.5 degrees colder
D.) 18.5 degrees colder

Answers

Answer:

It was 26.5 degrees colder at midnight than at 2:00 pm

Step-by-step explanation:

We have that:

At 2:pm, it was 4 degrees.

The temperature dropped 2.5 degrees per hour until 9:00 pm.

From 2pm to 9pm, there are 7 hours. 2.5 per hour, it was 4 degrees at 2 pm.

So at 9 pm the temperature is:

4 - 2.5*7 = -13.5

The temperature dropped another 9 degrees by midnight.

At midnight, the temperature is -13.5 - 9 = -22.5 degrees

How much colder was it at midnight than at 2:00 pm?

2pm: 4 degrees

Midnight: -22.5 degrees

How much coldren

-22.5 - 4 = -26.5

It was 26.5 degrees colder at midnight than at 2:00 pm

Answer:

B. 26.5

Step-by-step explanation:

2:00 PM - 9:00 PM =  7 hours

7 * 2.5 = 17.5

17.5 + 9 = 26.5

Convert 1.75 to scientific notation.
0 1.75 x 10°
0 175
0 0.175 x 101
O There is no scientific notation for this number.

Answers

Answer:

1.75x10^0

this is the only possible option for this problem.

17. Brendan works as a car salesman. He earns a salary of $1,000 per month, plus a commission of 3% on all sales. If he sold $250,000 worth of cars in May, what would his total earning be for the

month?

Answers

Answer:

His total earning for the month would be $8,500.

Step-by-step explanation:

In order to calculate the total earnings for the month, you have to find the 3% of the amount of the sales and add the monthly salary:

Monthly earnings=($250,000*3%)+$1,000

Monthly earnings=$7,500+$1,000

Monthly earnings=$8,500

According to this, the answer is that his total earning for the month would be $8,500.

Answer:

The Answer Is $8,500

Step-by-step explanation:

I just took the test

A circle has a diameter of 10 meters. What is the length of the arc subtended by a central angle of 4 radians.
A. 40 meters
B. 20 meters
C. 4 meters
D. 10 meters

Answers

Answer:

The answer is 20

The answer is 20 meters

A simple "Pick-3" lottery consists of players picking three digits from 0 to 9 with repeats allowed. It costs
$1 to play, and a player wins $500 if they match all three numbers drawn. Jaime decides to buy 10 tickets
to improve their chances of winning,
The table below displays the probability distribution of X the amount of money Jaime profits from this
strategy
Win
Lose
--$10
X = profit $490
P(X)
1%
99%
Given that px = -$5, calculate ox.
Round your answer to two decimal places.
σX
dollars
Show Calculator

Answers

Answer:49.75 dollars

Step-by-step explanation:

Khan academy

One number is 6 less than another. The product of the numbers is 72. Find
the numbers

Answers

Answer:

12 and 6

Step-by-step explanation:

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