Three cards are dealt from a shuffled standard deck of playing cards. Find the probability that the first card dealt is red, the second is black, and the third is red. (Enter your probability as a fraction.)

Answers

Answer 1

There are 52 cards in a deck, half the cards aware red and half the cards are red.

First card being red is 26/52 = 1/2

After the first card is dealt there are 51 cards left and 26 are black so dealing a black card = 26/51

After 2 cards are dealt there are 50 cards left and 25 red ones left. The probability would be 25/50 = 1/2

The probability of all 3 happening = 1/2 x 26/51 x 1/2 = 13/102

Answer: 13/102


Related Questions

Evaluate the expression.
3x + 2y for x = 4.2, y = 2.7

Answers

Answer:

18

Step-by-step explanation:

4.2 • 3= 12.60

2.7 • 2= 5.4

12.6+ 5.4=

18.0

Simplify (4.5)(5)(−2). (1 point)

Answers

Answer:

(4.5)(5)(−2) = (-9) × 5

= -45

Answer:

-45

Step-by-step explanation:

[tex](4.5)(5)(-2)\\\\22.5(-2)\\\\-45[/tex]

Line f is parallel to line g.which statements about line f and g is true

Answers

Answer:

Step-by-step explanation:

They have different y intercepts.

They have the same slope.

Here are 2 examples

y = 3x + 5

y = 3x + 19

The slopes are both three. The y intercepts are 5 for the top equation and 19 for the bottom equation.

They are both lines. That means their  domain is -infinity <x < + infinity

Their range is - infinity <y < + infinity.

We are excluding  examples like x = 3 and x = 5 and y = 1 and y = 3.

It is true that they both are parallel in both cases, but the discussion for each pair is a little different.

Over a lengh of 101 inches the hight changes 5" what is the angle?

Answers

Answer:

  2.83°

Step-by-step explanation:

The tangent of an angle is the ratio of rise to run.

 θ = arctan(5/101) ≈ 2.83°

_____

We assume the length is referring to the horizontal distance.

If it is the distance along the path, then the angle is ...

  θ = arcsin(5/101) ≈ 2.84°

Sarah walked ½ mile yesterday morning and ¾ mile yesterday afternoon. What was the total distance walked by Sarah?

Answers

Answer:

1.25 miles or 5/4

Step-by-step explanation:

Take the two distances and add them together and simplify.

Answer: 1 & 1/4 mile

Explanation:

1/2 = 2/4

She walked 2/4 of a mile in the morning and 3/4 of a mile in the afternoon. The total she walked is 5/4 of a mile. We add the numerators and place the sum over the common denominator.

The improper fraction 5/4 converts to the mixed number 1 & 1/4, since,

5/4 = (4+1)/4 = 4/4 + 1/4 = 1 + 1/4 = 1 & 1/4

Three friends live in three different states. Monica lives in Rhode Island, Anthony lives in Ohio, and Thomas lives in Colorado.
a.) Determine the sales tax rate in each state.

Answers

Sales tax in Colorado is 2.85%, in Ohio is 5.50%, and in Rhode Island is 7%.

Colorado: 3.50 = 1003.60 = X3.60 x 100 / 3.50 = X360 / 3.5 = X102.85 = X2.85% = Sales tax

Ohio: Y = 1.055X10 x 1.055 = Y10.55 = Y10 = 10010.55 = X10.55 x 100 / 10 = X1055 / 10 = X105.5 = X5.5% = Sales tax

Rhode Island: 10 = 10010.70 = X10.70 x 100 / 10 = X1070 / 100 = X107 = X7% = Sales tax

Therefore, sales tax in Colorado is 2.85%, in Ohio is 5.50%, and in Rhode Island is 7%.

Learn more about maths in https://brainly.com/question/25866144

1 5/8 ÷ (−1 3/5) Please help

Answers

The answer is (-75/104)

SOMEONE PLEASE HELP ME!!

Answers

Answer:

should be 3

Step-by-step explanation:

hope you get a good grade


Round 4.789443 to the nearest whole number

Answers

Answer:

5

Step-by-step explanation:

I don't think I should have to explain this but if it's in between 4.5 and 5 it will be 5 and if it's 4.5-4 it would be 4

5. 7 is above 5 so you round the number higher

16. Use the vertical line test to determine whether the relation is a function.

Answers

Answer:

neither of them are

Step-by-step explanation:

What are the coordinates of A? someone help ​

Answers

Answer:

(7,10)

Step-by-step explanation:

The x coordinate is the first coordinate, it is how far you go across

X = 7

The next coordinate is the y coordinate, it is how for you go up or down

y = 10

(7,10)

A jet can carry up to 200,000 liters of fuel.it used 130,000 liters of fuel during a flight. What percentage of the fuel capacity did it use on this flight

Answers

Percentage=(fuel consumed/ full fuel capacity) *100%
=(130000/200000)*100%
=65%

7. A boutique is offering a 25% discount on purchase made in cash. Calculate the cash price Janelle paid for articles totaled to $465.​

Answers

Answer:

$348.75

Step-by-step explanation:

$465 * 25%= 116.25

465-116.25 = $348.75

Together, Mike and Bill have $50 more than Joe has. Mike has $26 more than Bill. The three boys have a total $506. How much money does each boy have.

Answers

i wish i had that much money

Answer:

Step-by-step explanation:

1. 84

2. 96

Answer: Divisible by 2, 3, 6

3. 896

4. 942

Answer: Divisible by 2, 3, 6

5. 22,335

6. 39,075

Answer: Divisible by 3, 5

Find Prime Factorizations and Least Common Multiples In the following exercises, find the

prime factorization.

7. 86

8. 78

Answer: 2 3 13 ⋅ ⋅

9. 455

10. 400

Answer: 222255 ⋅⋅⋅⋅⋅

11. 432

12. 627

Answer: 3 11 19 ⋅ ⋅

In the following exercises, find the least common multiple of each pair of numbers using the

prime factors method.

13. 8, 12

hope that help mark me brinliylist

Find an equation for the perpendicular bisector of the line segment whose endpoints
are (5, 4) and (-7,-8).

Answers

Answer:

y= -x -3

Step-by-step explanation:

A perpendicular bisector of a line cuts through the line at its midpoint perpendicularly (90°).

Let's find the slope of the line segment.

[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

Slope of line segment

[tex] = \frac{4 - ( - 8)}{5 - ( - 7)} [/tex]

[tex] = \frac{4 + 8}{5 + 7} [/tex]

[tex] = \frac{12}{12} [/tex]

= 1

The product of the slopes of 2 perpendicular lines is -1.

Let the slope of the perpendicular bisector be m.

m(1)= -1

m= -1

y= -x +c

To find the value of c, substitute a pair of coordinates in which the line passes through into the above equation.

Since the perpendicular bisector cuts through the midpoint of the line segment, let's find the coordinates of this midpoint.

[tex]\boxed{midpoint = ( \frac{x _{1} + x _2}{2} , \frac{y_1 + y_2}{2} )}[/tex]

Midpoint of line segment

[tex] = ( \frac{5 - 7}{2} , \frac{4 - 8}{2} )[/tex]

[tex] = ( \frac{ - 2}{2} , \frac{ - 4}{2} )[/tex]

= (-1, -2)

y= -x +c

When x= -1, y= -2,

-2= -(-1) +c

-2= 1 +c

c= -2 -1

c= -3

Thus, the equation of the perpendicular bisector is y= -x -3.

Find the mean of the data

Answers

Answer:  6.282

Explanation:

Refer to the table below. I've added a third row where I multiplied each x value with its corresponding frequency value f. We can refer to this row as the xf row.

Once we know the xf values, we add them up to get 245.

We'll then divide that result over the sum of the frequency values (add everything in the second row). The sum of the frequency values is 39.

So the mean is approximately: 245/39 = 6.282051 which rounds to 6.282

Notice that this mean value is fairly close to the x value which has the highest frequency.

Jada buys 5 notebooks and 6 pens. Each notebook costs $4. Jada pays the cashier $40 and gets $8 change.
What is the cost, in dollars, of one pen? Show or explain how you got your answer.

Answers

Answer:$2

Step-by-step explanation:

5 notebooks cost $4 each

5*$4=$20

Jada pays the cashier $40 and gets $8 back

So in order to figure out how much was paid you take

$40-$8=$32

Then to figure out how much each pen cost I take

$32-$20=$12

So there was 6 pens that were bought and to get the total per each pen

$12/6=$2 each per pen

please help!! easy but i don't understand <3

Answers

in essence it's just asking on getting the equation of that line in more or less slope-intercept form, hmmm well, it's a line, so all we need is two points to get it, hmmm let's see let's use the starting point and terminal point, so we know it goes through the origin, (0,0) and also goes through (1, 0.7), let's change 0.7 to a fraction, so its 7/10, ok, let's use those two points from it.

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{\frac{7}{10}}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{\frac{7}{10}}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{0}}}\implies \cfrac{~~ \frac{7}{10}~~}{1}\implies \cfrac{7}{10}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{\cfrac{7}{10}}(x-\stackrel{x_1}{0})\implies y = \cfrac{7}{10}x[/tex]

Melanie was training for a race. The line plot below shows the number of miles Melanie ran last week.


4. What does ¾ + ¼ = ?

Answer in simplest form.

Answers

3/4+1/4=1
I’m not sure why you put the thing about Melanie there.

Solve for the value of x

Answers

Answer:

x=9

Step-by-step explanation:

To solve for x, you can set up a proportion between the 2 triangles we see.

The small triangle can be written as [tex]\frac{16}{20}[/tex], and the large triangle can be written as [tex]\frac{16+12}{20+2x-3} = \frac{28}{2x+17}[/tex].

Set both proportions equal to each other.

[tex]\frac{16}{20}=\frac{28}{2x+17}[/tex]

Cross multiply and solve for x.

[tex]16(2x+17)=(28)(20)[/tex]

32x+272=560

32x=288

x=9

Van is watching birds in his backyard. There are 9 sparrows or 45% sparrows. How many birds are in his backyard?

Answers

Answer:

11

Step-by-step explanation:

The perimeter of the classroom shown is 6x + 3. Find the length of the missing side.
Incorrect Work/Solution
Identify and explain the Error
x
(6x + 3) + (3x +1) + x + x
6x + 3x + x +x+3 + 1
11x + 4
3x+1
The length of the missing side is 11x + 4.
Correct Work/Solution
Share a Strategy

Answers

Answer:

Refer to link below:

Step-by-step explanation:

https://brainly.com/question/25868816?referrer=searchResults

Help help help help math math

Answers

Since the two lines are parallel the interior angles,
Angle 53 and angle 5, are supplementary angles therefore
53 + 5 = 180
5 = 127

Help help help math math

Answers

Answer:

x =  11

Step-by-step explanation:

Lines are parallel.   5x + 10 and 10x + 5 are supplements of each other.

Move  5x+ 10 to the corresponding position on the figure.  It will be next to 10x + 5 and form a linear pair with 10x + 5.  A linear pair form a straight angle or two supplementary angles.  Supplementary angles = 180°

Therefore  5x +10 + 10x + 5 = 180°

                   15x  + 15 = 180°

                      15x = 180 - 15

                         15x = 165

                           x =  11

What is the product of y and 10

Answers

Answer:

10y

Step-by-step explanation:

product means to multiply so you would multiply y and 10 so the options would be

10y

y x 10

What is the value of x and y?

Answers

Answer:

x = 90y = 43

Step-by-step explanation:

The angle bisector in this isosceles triangle is also its altitude. It meets the base segment at right angles.

  x° = 90°

__

The acute angles in a right triangle are complementary.

  y° = 90° -47°

  y° = 43°

The vertices of a triangle are A(0,0),B(3,8) and C(9,0). What is the area of this triangle?

Answers

Answer:

9

Step-by-step explanation:

To find the area of a triangle where you know the x and y coordinates of the three vertices, you'll need to use the coordinate geometry formula: area = the absolute value of Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By) divided by 2. Ax and Ay are the x and y coordinates for the vertex of A. The same applies for the x and y notations of the B and C vertices.

Fill in the numbers for each corresponding letter combination within the formula.

Fill in your formula like this: 0(8-10) + 3(0-0) + 9(0-8).

Subtract the numbers within the parentheses.

0 from 8 = 8, 0 from 0 = 0 and 8 from 10 = 2.

Multiply that result by the number to the left of the parentheses.

0 by 8 = 0, 3 by 0 = 0 and 9 by 2 = 18.

Add the three products together.

0 + 0 + 18 = 18

Divide the sum of the three products by 2.

18 ÷ 2 = 9

Answer:36

Step-by-step explanation:

Researching the 21st century in UAE

Answers

A concern of UAE leaders today is to create sustainable pathways to long-term prosperity and security for Emirati citizens and residents.

Solve this by elemination thx.
5x-4y=16
3y+2x=-12
And explain.

Answers

Answer:

10x-8y=32

10x+15y=-60

-23y=92

y=-92/23

make as brainleast

JACKIE BROUGHT 3/4 OF A GALLON OF ICED TEA TO THE PARTY. BILL BROUGHT 7/8 OF A GALLON OF ICED TEA TO THE SAME PARTY. HOW MUCH ICED TEA DID JACKIE AND BILL BRING TO THE PARTY?

Answers

Answer:

your welcome... hope this helps

Step-by-step explanation:

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