You pick a card at random from an ordinary deck of 52 cards. if the card is a diamond, you get some points; if not, you lose 2 points. what value for the diamonds would make the game fair? 12 6 24 3

Answers

Answer 1

The value for the diamonds which would make the game of pick a diamond from a deck of 52 cards fair is 6.

What is probability?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

From a card at random from an ordinary deck of 52 cards is picked.If the card is a diamond, you get some points. There are total 13 diamonds in a deck of cards.

Thus, the probability of picking a diamond from 52 cards is,

[tex]P=\dfrac{13}{52}\\P=\dfrac{1}{4}[/tex]

The probability of not picking a diamond from 52 cards is,

[tex]P'=1-\dfrac{1}{4}\\P'=\dfrac{3}{4}[/tex]

If the picked card is not a diamond, then the 2 points are lost. Let X is the score in the game. If the game is fair then the expected value for this should be 0. Thus,

[tex]0=x\times \dfrac{1}{4}+2\times\dfrac{(-3)}{4}\\x=6[/tex]

Hence, the value for the diamonds which would make the game of pick a diamond from a deck of 52 cards fair is 6.

Learn more about the probability here;

https://brainly.com/question/24756209

Answer 2

Answer:

6

Step-by-step explanation:

The answer above is correct.


Related Questions

If you can type 50 words per minute, how many minutes would it take you to type a 500 word essay

Answers

Answer:  10 minutes

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

Work Shown:

A = 50 = number of words typed in 1 minute

B = 1 minute

C = 500 words

D = x minutes (needed to type 500 words)

A/B = C/D

50/1 = 500/x

50*x = 1*500 ... cross multiply

50x = 500

x = 500/50 .... divide both sides by 50

x = 10

You'll need 10 minutes to type 500 words

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

Alternative approach:

50 words = 1 minute .... given speed

1 word = 1/50 minute ... divide both sides by 50

1 word = 0.02 minute

500 words = 10 minutes .... multiply both sides by 500

As per the given data, it would take approximately 10 minutes to type a 500-word essay at a typing speed of 50 words per minute.

If you have a typing speed of 50 words per minute, it means you can accurately type 50 words in one minute. This rate is often considered an average typing speed for proficient typists.

If I can type 50 words per minute, then to determine the number of minutes it would take to type a 500-word essay, we can divide the total number of words by the typing speed:

Time (in minutes) = Total words / Typing speed

Time = 500 words / 50 words per minute

Time = 10 minutes

Therefore, it would take approximately 10 minutes to type a 500-word essay at a typing speed of 50 words per minute.

For more details regarding typing speed, visit:

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A. Write the formula for the volume V of a prism where B is the area of the base and h is the height. V= b. Solve the formula for B. B= c. Use the new formula to find the area of the base of the prism. The area of the base of the prism is square inches.

Answers

Step-by-step explanation:

The question lacks the required diagram, find the diagram attached.

Volume of the pyramid V = BH where;

B is the base area

H is the height of the prism.

b) To solve for B, we will have to make B the subject of the formula from the equation in a;

From (a);

V = BH

Divide both sides by H

V/H = BH/H

V/H = B

B = V/H

c) Since we are not given the volume and height of the prism, we can as well use the following parameters;

Let us assume Volume of the prism = 175in³  and  eight of the prism H = 5in

Substitute this values into the equation derived in (b)

B = 175in³/5in

Hence the area of the base of the prism is square inches is 35in²

Can anyone help me with this question

Answers

Ok the answer is 1.456.7820

which number is an irrational number? A 40 .B 49 C 100 D 9

Answers

Answer:

b :)

Step-by-step explanation:

Find the vector of the points p which divide Ac in the ratio 1:4​

Answers

Answer:

Where is the points p and ration?

Step-by-step explanation:

Solve for the Variable 9x+2 10x-10

Answers

Answer:

x=12

Step-by-step explanation:

9x+2=10x-10

9x-10x=-10

-x=-10-2

x=12

x=12

3+ (-5)
Help me please

Answers

Answer:

-2

Step-by-step explanation:

3 + - 5 is basically 3 -5 because when a negative meets a positive the signs turn into a negative.

3 -5 is 5 less than three which is -2.


Mr. Mole left his burrow that lies 7 meters below the ground and started digging his way deeper into the
ground, descending at a constant rate. After 6 minutes, he was 16 meters below the ground.
Let y represent Mr. Mole's altitude (in meters) relative to the ground after 3 minutes.
Complete the equation for the relationship between the altitude and number of minutes.
y =

Report a problem

Answers

Answer:

it would be 34

Step-by-step explanation:

Answer:

y= -1.5x-7

Step-by-step explanation:

y= -16 (total amount of meters below ground)

m= -1.5 (slope; meters he descends per minute)

x= 6 (minutes)

b= -7 (starting point)

thus; y= -1.5x-7

because; -16=(-1.5)(6)-7

note; remember, they are descending so most of your values will be negative

Math escape room maze ( I need help) I know it goes A,E,I but I don’t know what goes next)

Answers

Answer:

9

Step-by-step explanation:

Use angle summation:

∠HGE + ∠EGF = ∠HGF

3x + 11 + 110 = 16x + 4

117 = 13x

x = 9

Answer:

IK = 30

Step-by-step explanation:

31-12=19

49-19-12=18

12+18=30

what are decimal that repeat the same pattern

Answers

A decimal number with a digit or group of digits that repeats forever is called a repeating decimal.

21
Which inequality represents the following statement?
"A number increased by 4 is at most 15."

Answers

Answer:

x + 4 ⩽ 15

Step-by-step explanation:

Let

The number = x

At least in inequality is ⩾ (greater than or equal to sign)

At most in inequality is ⩽ ( less than or equal to sign)

A number increased by 4 is at most 15.

x + 4 ⩽ 15

The inequality that represent the statement is x + 4 ⩽ 15

x + 4 ⩽ 15

x ⩽ 15 - 4

x ⩽ 11

1. The quotient of twice a number and 7 is 20.

Answers

The equation would be:

2(x+7)=20

The GCF of the numerator and denominator in 15/24 is _____.

8
3
2
5

Answers

Answer:

3

Step-by-step explanation: 8 can go into 24 perfectly but not 15 and 5 can go into 15 perfectly but not 24 but 24/3 is 8 and 15/3 is 5

You might say two could do the same thing which is true but we are talking about the GCF, they are asking for the greatest common factor so that's why the answer is 3

Answer:

3

basically,  8 can go into 24 exactly but 15 and 5 can not go into 15 perfectly neither can 24.  24/3 is 8 and 15/3 is 5

You might say two could do the same thing which is true but we are talking about the GCF, they are asking for the greatest common factor so that's why the answer is 3  :D

Write the equation of the line below

Answers

Y=1x-1 or Y=x-1. Either one is correct.

2316 divided by 2.4 show your work

Answers

Answer:

956

Step-by-step explanation:

You could answer this by doing division

So you could write it as 2316 (division symbol) 2.4=956

Hope this helped a bit!

The answer is 965. 2316 divided by 2.4 makes 965

This table shows the top athletes that play both football and basketball. What is the intersection of the set of football players and the set of basketball players? Football Basketball Ahmed Corelli Corelli Donaldson Jimenez Jeffers Miller Nicholas Petersen Yao Yao Zamora {Corelli, Jimenez} {Corelli, Yao} {Yao} {Jimenez}

Answers

Answer:

the answer is  {Corelli, Yao}

Step-by-step explanation:

i took the quiz

the answer is  {Corelli, Yao}

it them bc of they why of the number is place and it repeied

3. The points (80, 20) and (120, 30) form a proportional relationship. What is the
slope of the line that passes through these points? *

A)1/4
B)4
C)10
D)40

Answers

Answer:

6x6x55x5x5x2

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

A baseball team is having an end of the year party and the coach wants to purchase gloves and baseballs for the team. Gloves are sold in cases of 8 and baseballs are sold in cases of 12. The coach wants to buy the exact same number of gloves as baseballs.What is the least number of gloves and baseballs he would have to purchase to have the same number of each?

Answers

Answer: 24 is the least number of gloves and baseball need to purchase .

Step-by-step explanation:

Given:  Gloves are sold in cases of 8 and baseballs are sold in cases of 12.

To get the  exact same number of gloves as baseballs, the least number of gloves and baseball need to purchase = L.C. M. (8,12)

[L.C.M.= Least common multiple]

Since 8 = 2 x 2 x2

12 = 2 x 2 x 3

So,  L.C. M. (8,12) = 2 x 2 x 2x 3 = 24

Hence, the least number of gloves and baseball need to purchase = 24

Can someone please help me?? Ill give brainliest 20 points
Find an equation that can be solved in different ways.

Complete a two-column algebraic proof solving your equation.
Post your equation and two-column proof to the discussion board.

Answers

Answer:

This is an example of a two-column algebraic proof using 4x + 9 = 16 - 3x

Step-by-step explanation:

Simplify −9 + 1/4x − 6 − 1/8x.

Answers

Answer:

- 72x-1 /8x

Step-by-step explanation:

Answer: -15+1/8x

Step-by-step explanation:

-9+1/4x-6-1/8x

You must add the 9 and 6 because they are both negative numbers and you get -15. You would multiply 1/4 by two in order to subtract 1/4 from 1/8. You would have 2/8-1/8 which would get you 1/8.

What is the answer to
-4 ( 5x + 3)

Answers

Answer:

-20x - 12

Step-by-step explanation:

times -4 by everything inside the bracket

-4 times 5x = -20x

-4 times +3 = -12

-4(5x+3) = -20x - 12

(a positive times a negative is a negative)

hope this helps.

brainliest please?

x

Answer:

-20x - 12

Step-by-step explanation:

Distribute the '-4' into the terms in the parentheses.

[tex]-4(5x+3)\\\\-20x-12\\\\\left \{ {{-4*5x=-20x} \atop {-4*3=-12}} \right.[/tex]

Hope this helps.

What will be the value of y?

Answers

Answer:

The answer is 40.

Step-by-step explanation:

Both of the angles given are congruent. 2y-10=70. To get y, you must multiply 2 and 40 together, making 80. Then you subtract it by 10, making it 70 degrees.

help cant get this one trough my thick skull

Answers

C

63 is the sum of all their ages, meaning that this is their ages added altogether, eliminating A and D as answer choices since those show multiplication instead of addition. Next, the problem states that the three consecutive integers are odd. This statement eliminates B as an answer choice since it’s using three consecutive even integers. This leaves C as your final answer.

And it’s not that you have a thick skull, math can just be tricky sometimes, but you’ll get it! good luck! :)

Solve the equation:
[tex] - 5r + 6 \leqslant - 5(r + 2)[/tex]

Answers

Answer:

[tex]\mathrm{No\:Solution}[/tex]

Step-by-step explanation:

[tex]-5r +6 \leq -5(r+2)\\\\Expand \\\\-5r+6\le \:-5r-10\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\-5r+6-6\le \:-5r-10-6\\\\Simplify\\-5r\le \:-5r-16\\\\\mathrm{Add\:}5r\mathrm{\:to\:both\:sides}\\-5r+5r\le \:-5r-16+5r\\\\Simplify\\0\le \:-16\\\\\mathrm{Therefore,\:the\:solution\:is}\\\mathrm{No\:Solution}[/tex]

Draw the graph of y=-2x for x values from -3 to 3​

Answers

Answer:

(x,y) -> (-3,6)

(x,y) -> (-2,4)

(x,y) -> (-1,2)

(x,y) -> (0,0)

(x,y) -> (1,-2)

(x,y) -> (2,-4)

(x,y) -> (3,-6)

Step-by-step explanation:

Substitute each value in the range of x into your equation to get the corresponding y-coordinate.

Ed's class took a field trip to the art museum. They left school at 10:45 A.M. It took them 15 minutes to drive to the museum. They stayed at the museum for 1 hour and 45 minutes. What time was it when Ed's class left the museum?

Answers

Answer:
12:45

10:45 + 15 minutes = 11:00

11:00 + 1 hour and 45 minutes = 12:45

Think of it as:
11:00
+1.45
———
12:45

Sonya’s average so far is 84 for 3 math tests. What must she get on the fourth test to have an average of 88

Answers

Answer:

she will need to get a 100 on the fourth test

Step-by-step explanation:

(252+x)/4 = 88

252+x = 352

x = 100

How do I write the two equations?

Answers

From my knowledge I got (5x+3y)=48 and 6+(5x+3y)=180

PLEASE HELP ME FRIEND ​

Answers

Answer:

The first two.

Step-by-step explanation:

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.

Answer:

[tex]{\huge{\pink{\underline{\underline{Answer}}}}}[/tex]

Triangle ABC and Triangle XYZ are cngruent due to S.S.S. congruence rule...

what are you all being for Halloween?

Answers

I’m going to be a princess but 2020 addition
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