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

6 wholes and 1/3 converted into decimal?

Answers

Answer:

6 is a whole number.

[tex]\frac{1}{3}[/tex] is approximately equal to 0.333, but this is a repeating decimal.

Is 3x - y = -6 an equation for this graph? EXPLAIN how you know. Hint: try a test point like the the y-intercept to see if it makes a true statement.

Answers

You didn't provide any graphs.

Ten men and ten women are to be put in a row. Find the number of possible rows if Beryl, Carol, and Darryl want to stand next to each other in some order (such as Carol, Beryl, and Darryl, or Darryl, Beryl and Carol).

Answers

Answer: 6 possibilities.

Carol, Beryl, and Darryl

Carol, Darryl, and Beryl

Darryl, Carol, and Beryl

Darryl, Beryl, and Carol

Beryl, Darryl, and Carol

Beryl, Carol, and Darryl

Hope this helps :)

PLZ HURRY IT'S URGENT!!!
What is the value of x? Leave answer in **simplest radical form.***



options:

4


4√3


8


8√3

Answers

4 sqrt 3 is your answer (b)

y=x^2 translate 4 units down and 3 units left

Answers

Answer: Hello! When a graph is translated 4 units down you are moving all of the y values. This makes it the easiest translation that we do, other than no translation! All you have to do is subtract 4. Your equation is y=x2 - 4. If you wanted to move the graph up it is addition and if you want to move it down it is subtraction. When you translate right to left it is more complicated! Hope this helps.  :))

write me 2 equivalent fractions of 1/3=_=_

Answers

1/3 = 2/6 = 4/12

Multiply both sides by 2 to get 2/6 and both sides by 4 to get 4/12

Graph the solution to the following system of inequalities.
-7x + 5y < -10
5x + 4y > 8
Then give the coordinates of one point in the solution set.

Answers

Graph attached

Solution is (1.6,0)

How many 1/4 inch cubes does it take to fill a box with width 1 inches, length 3 3/4 inches and height 1 1/2inches?

Answers

Step-by-step explanation:

we need to see how many cubes fit into every dimension.

we can fit 4 cubes along the 1 in width. as 4×1/4 = 1 in.

we can fit 15 cubes along the 3 3/4 in length :

3 3/4 = 12/4 + 3/4 = 15/4

15/4 / 1/4 = 15/4 × 4/1 = 4×15 / 4×1 = 15

we can put 6 cubes on top of each other fit the height of 1 1/2 in

1 1/2 = 2/2 + 1/2 = 3/2 = 6/4

6/4 / 1/4 = ... = 6 (as above - simply 1/4 fits 6 times into 6/4).

so, we have

4 × 15 × 6 = 360

we need 360 cubes to fill the box.

I need help this is easy tho!

Answers

the answer is false

Answer:

it is true

it's a quadralateral

The length of a rectangle is times the width. If the perimeter is 32 inches, what is the width of the rectangle

Answers

Let width be “w", length = “l" and perimeter = p

Then l = 3w-4

Perimeter = 2(w+l)

p = 2(w+3w-4) = 2w+6w-8 = 8w-8

Perimeter is 32…

8w-8 = 32

8w = 32+8

8w = 40

w = 5

l = (3×5)-4 = 11

Check… p = 2(5+11) = 2 × 16 = 32

Ans = length is 11

Hope it helps!

Answer:

11

Step-by-step explanation:

The position of a scuba diver relative to the water surface was −22 1/3 feet. He saw something interesting beneath him and increased his depth by 12 1/2 feet.

What is the position of the scuba diver now relative to the water surface?

Enter your answer as a mixed number, in simplified form, in the box.

Answers

Answer=-34 5/6

Explanation= just do this: -22 1/3 - 12 1/2
You subtract since the diver is diving deeper DOWN

Answer:

-34 5/6

Step-by-step explanation:

Hope this helps

Have a blessed day

your paper airplane is launched from 25ft. it descends at a rate of 5ft per second. write an equation that represents the height y of your airplane after x seconds

Answers

Answer:

y= -5x + 25

Step-by-step explanation:

y = mx + b

m(slope) = descending 5ft/sec means the height will decrease so the slope must be negative

b(y-int) = starting height of 25 ft added

–3 2/6 ÷ 1 1/2=

A. 9/20
B. -3 2/3
C. -2 2/9
D. -5

Answers

Answer:

its C

1.convert the mixed number to an improper fraction

([tex]\frac{-20}{6\\}[/tex] x [tex]\frac{2}{3}[/tex] )

2. reduce the numbers with the greatest common factor (2)

[tex]\frac{-20}{3}[/tex] x [tex]\frac{1}{3}[/tex]

3. then multiply and get

[tex]\frac{-20}{9}[/tex]

4. then reduce to get

-2[tex]\frac{2}{9}[/tex]

Step-by-step explanation:

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

Answers

Answer:

neither of them are

Step-by-step explanation:

PLEASEEEE HELP!DUE IN 1 HOUR! A housing contractor has subdivided a farm into 100 building lots. She has designed two types of homes for these lots: colonial and ranch style. A colonial requires $30,000 of capital and produces a profit of $3000 when sold. A ranch-style house requires $40,000 of capital and provides an $7000 profit. If the contractor has $3.8 million of capital on hand, how many houses of each type should she build for maximum profit?

Answers

Answer:

Step-by-step explanation:

A housing contractor has subdivided a farm into 100 building lots. She has designed two types of homes for these lots: colonial and ranch style. A colonial requires $30,000 of capital and produces a profit of $2000 when sold. A ranch-style house requires $40,000 of capital and provides an $8000 profit. If the contractor has $3.2 million of capital on hand, how many houses of each type should she build for maximum profit?

? colonials

? ranches

For maximum profit, the contractor should build 80 colonial houses and 20 ranch-style houses. The maximum profit achievable is $740,000.

Let x be the number of colonial houses built.

Let y be the number of ranch-style houses built.

Now, we can set up the objective function, which represents the total profit:

Total Profit (P) = 3000x + 7000y

The total cost of the houses built cannot exceed the available capital, which is $3.8 million (or $3,800,000):

30,000x + 40,000y ≤ 3,800,000

The number of building lots used cannot exceed the total number of lots available, which is 100:

x + y ≤ 100

Also, we need to consider that the number of houses (x and y) must be non-negative:

x ≥ 0

y ≥ 0

Now, we have the linear programming model with the objective function and constraints.

We need to find the values of x and y that maximize the total profit (P).

Graph the feasible region determined by the constraints (x + y ≤ 100, x ≥ 0, y ≥ 0, 30,000x + 40,000y ≤ 3,800,000), and then evaluate the objective function (P = 3000x + 7000y) at each corner point of the feasible region to find the maximum profit.

The feasible region is a polygon with vertices at the following points:

(0, 0)

(0, 95) (Intersection of x = 0 and y = 95)

(80, 20) (Intersection of x = 80 and y = 20)

(100, 0) (Intersection of x = 100 and y = 0)

Now, evaluate the objective function (P) at each corner point:

(0, 0): P = 0

(0, 95): P = 665,000

(80, 20): P =  740,000

(100, 0): P = 300,000

The maximum profit of $740,000 occurs when the contractor builds 80 colonial houses and 20 ranch-style houses

Hence, for maximum profit, the contractor should build 80 colonial houses and 20 ranch-style houses.

To learn more on Linear programming click here:

https://brainly.com/question/30763902

#SPJ3

Help help help help help

Answers

Answer:

100°

Step-by-step explanation:

Answer:

∡5=100°

Step-by-step explanation:

∡5 is perpendicular to the 100° above, therefore your answer is ∡5=100°.

Brainliest would be appreciated! :-)

Is 0.136 greater or least to 0.23?

Answers

Answer: least

Step-by-step explanation: because 0.23 is closer to 1

Least

If you removed the last term from 0.136, it would become 0.13

Compared to 0.25, it is lower.

In the year 2001, a person bought a new car for $12000. For each consecutive year after that, the value of the car depreciated by 10%. How much would the car be worth in the year 2004, to the nearest hundred dollars? i need this asap

Answers

Answer: $8700.

Step-by-step explanation:

The equation we can use is p  x  r^years.

p is the original value ($12000).

r is our multiplier, it goes down by 10% so our multiplier is 1-0.1 giving us 0.9.

IT is 2001 to 2004 so 3 years so we do r to the power of 3.

So we use 12000 x 0.9^3.

This is equal to 8748, to the nearest 100 dollars its $8700.

need help with math probelm

Answers

[tex]28+24=4(7)+4(6)=4(7+6)[=4(13)=52][/tex]

The answer: 4(7+6)

ok done. Thank to me :>

Can someone pls help me!! And if u can explain how u do it I will very thankful for that..

Answers

Answer:

For the first question is 8y, and the second question would be 80

Step-by-step explanation:

The perimeter of a shape is calculated by adding it's sides together, and 2y+2y+2y+2y=8y. If y=10, we can substitute y for 10 in which 8*10 is 80.

How long it would it take to spread a rumor in a town of 90,000 people if each person who heard the rumor told it to 3 new people every 15 minutes?

Answers

Answer:

it would take 30k minutes, equivalent to 500 hours/almost 21 days/almost 3 weeks

Step-by-step explanation:

What are the first five terms of the arithmetic progression with the first term 8 and common difference 7 , then find the 17th?.

Answers

Step-by-step explanation:

a1 = 8

a2 = 8 + 7 = 15

a3 = 15 + 7 = 22

a4 = 22 + 7 = 29

a5 = 29 + 7 = 36

an = an-1 + 7 = a1 + 7×(n-1)

a17 = 8 + 7×16 = 8 + 112 = 120

45% of the people in the stadium are men, 23% of them are woman and the rest are children. What fraction of the people are children?​

Answers

Answer:

8/25 of the people in the stadium are children.

Step-by-step explanation:

45 + 23 = 68

100 - 68 = 32%

32/100 simplified is 8/25

Between which two integers does 7/3 lie?

Answers

Answer:

2 and 3

Step-by-step explanation:

7/3=2 1/3

So it lies between 2 and 3

2 1/3 is lesser that 3 but more than 2.

DIRECTION: Solve each proportion.

1. 6/15 = n/25
2. 3/5 = 21/n
3. n/12 = 15/30
4.3/n = 12/24n
5. 6/12 = n/72

plss help me :(​

Answers

Answer:

1.  n=10

2. n=35

3. n=6

4. n=0 ? not sure for this one. two variables in the proportion

5. n=36

Step-by-step explanation:

set each set of proportion equal to each other and do cross multiplication

hope this helps !

how are you ?

Answer:

10356636

Step-by-step explanation:

Please take a look of the attached photo for the solution.

1) Order this list from smallest to largest. 0.3 15% 2 1/2​

Answers

I think maybe 0.3 then 2 1/2 and then 15

13,22,31,...
Find the 31st term.
Find the 31st term.


Answers

Answer: 283

Step-by-step explanation:

To do this, it is helpful to get an equation you can use to solve any term.

This equation is:

[tex]13 + 9(n-1)[/tex]

So simply plug in 31 for n to get

[tex]13+9(31-1)[/tex]

[tex]=13+270[/tex]

[tex]=283[/tex]

Answer:

283

Step-by-step explanation:

9x+4=9(31)+4=283

13+9=22

22+9=31

9x

9(1)=9 9+4=13

9x+4

There is a cookie jar in Julio's kitchen filled with 7 cookies. His mother bakes some more cookies. Now there are 14 cookies. How many cookies did Julio's mother bake.

Answers

The Answer is 7 cookies because she had 7 cookies filled in the jar and after making 7 more it becomes 14 so
Also 7+7=14

which of the following angle measure combinations will form a triangle?

A. 47° degrees, 63 degrees, and 70 degrees

B. 160 degrees, 50 degrees, and 150 degrees

C. 90 degrees, 1 degrees, and 88 degrees

D. 182 degrees, 1 degrees, and 2 degrees

Answers

The answer is 182 , 1 , 2 degrees

4. Solve the equation using square roots.
x2 + 10 = 9

Answers

Answer:

+1/-1

Step-by-step explanation:

assuming the original phrase is  x^2

x^2 + 10 = 9

x^2 = 1

x = +/- 1

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