one card from a deck of cards is selected, it is replaced, and another card is chosen. what is the probability that the first card is a red card and the second card is a diamond card?​

Answers

Answer 1

Answer:

the probability of a red card is 1/2 of 50% chance. The chance of a diamond card is 1/4 or 25% chance

Step-by-step explanation:

Answer 2

Answer as a fraction = 1/8

Answer in decimal form = 0.125

Answer as a percentage = 12.5%

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

Explanation:

The probability of choosing a red card is 1/2 since half of the cards are red (the other half are black).

This card is selected and then put back into the deck. This means that the second selection will deal with the same number of total cards.

Since we have four suits, and one of those suits is diamonds, this means the probability of choosing a diamond card is 1/4.

We then multiply the fractions to get (1/2)*(1/4) = (1*1)/(2*4) = 1/8

The probability of getting a red card first, then a diamond card second, is 1/8

Use your calculator to find that 1/8 = 0.125 which converts to the percent form 12.5%


Related Questions

Please solve for x. Thank you.

Answers

Answer:

Step-by-step explanation:

so the number is 27 + x which is on ST side so the same side is CD. So we put 27 + x = 30

-27       = -27

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

     x = 3

always look at the pattern of the angles like angle DBC ~ TRS and see what its asking for

You are the owner of four Taco Bell restaurant locations. You have a business loan with Citizens Bank taken out 60 days ago that is due in 90 days. The amount of the loan is $50,000, and the rate is 9.5% using ordinary interest. You currently have some excess cash. You have the choice of sending Citizens $35,000 now as a partial payment on your loan or purchasing an additional $35,000 of serving supplies such as food containers, cups, and plastic dinnerware for your inventory at a special discount price that is "10% off" your normal cost of these items. (a)

Answers

Answer:

(a) The amount of interest you will save on this loan if you make the partial payment and don't purchase the additional serving supplies is $553.80.

(b) The amount you will save by purchasing the discounted serving supplies and not making the partial payment is $2,946.20.

Step-by-step explanation:

Note: This question is note complete. The complete question is therefore presented before answering the question as follows:

You are the owner of four Taco Bell restaurant locations. You have a business loan with Citizens Bank taken out 60 days ago that is due in 90 days. The amount of the loan is $50,000, and the rate is 9.5% using ordinary interest. You currently have some excess cash. You have the choice of sending Citizens $35,000 now as a partial payment on your loan or purchasing an additional $35,000 of serving supplies such as food containers, cups, and plastic dinnerware for your inventory at a special discount price that is "10% off" your normal cost of these items.

(a) How much interest will you save on this loan if you make the partial payment and don't purchase the additional serving supplies?

(b) How much will you save by purchasing the discounted serving supplies and not making the partial payment?

Explanation of the answers is now given as follows:

(a) How much interest will you save on this loan if you make the partial payment and don't purchase the additional serving supplies?

Since an ordinary interest is used, it implies that the total interest amount has to be calculated based on a 360-day year instead of a 365-day year. Therefore, the the interest saved can be calculated as follows:

I_$50K = PRT ........................ (1)

Where,

I_50K = Total Interest on the original $50,000 loan = ?

P = Principal = $50,000

R = interest rate = 9.5%

T = Number of days in the loan period / 360 = (60 + 90) / 360 = 150 / 360 = 0.416666666666667

Substituting the values into equation (1), we have:

I_$50K = $50,000 * 9.5% * 0.416666666666667

I_$50K = $1,979.17

Daily interest on $50,000 loan = I_$50K / Number of days in the loan period = $1,979.17 / 150 = $13.19

Also, we have:

I_PB = PRT ........................ (2)

Where,

I_PB = Innterest on principal balance = ?

P = Principal balance = $50,000 - $35,000 = $15,000

R = interest rate = 9.5%

T = Number of days remaining / 360 = 60 / 360 = 0.166666666666667

Substituting the values into equation (2), we have:

I_PB = $15,000 * 9.5% * 0.166666666666667

I_PB = $237.50

Daily interest on principal balance = I_PB / Number of days remaining the loan period = $237.50 / 60 = $3.96

Daily interest to save = Daily interest on $50,000 loan - Daily interest on principal balance = $13.19 - $3.96 = $9.23

Interest amount to save on the loan = Number of days remaining * Daily interest to save = 60 * $9.23 = $553.80

Therefore, the amount of interest you will save on this loan if you make the partial payment and don't purchase the additional serving supplies is $553.80.

(b) How much will you save by purchasing the discounted serving supplies and not making the partial payment?

This can be calculated as follows:

Discount receivable from purchasing serving supplies = Cost  of serving supplies * Discount rate = $35,000 * 10% = $3,500

Amount to save by purchasing serving supplies = Discount receivable from purchasing serving supplies - Interest payable on loan for the remaining 60 days ................ (2)

Where;

Discount receivable from purchasing serving supplies = $3,500

Interest payable on loan for the remaining 60 days = Interest amount to save on the loan as calculated in part (a) = $553.80

Substituting the values into equation (2), we have:

Amount to save by purchasing serving supplies = $3,500 - $553.80 = $2,946.20

Therefore, the amount you will save by purchasing the discounted serving supplies and not making the partial payment is $2,946.20.

Please help me! (Tangent Ratios) (20 points)

Answers

Answer:

Tan A for first page  25/49  

Tan A for second page 37/49

Tan B for first page 24/49

Tan B for second page 12/49


3. The Sambag 1 Daycare Center received 1 013 pencils. If each child got
6 pencils equally, how many pencils were left?
A. There are 2 pencils left.

C. There are 4 pencils left.

B. There are 3 pencils left.

D. There are 5 pencils left.​

Answers

Answer:

D

Step-by-step explanation:

i am not sure how many kids there are but if u do 1013-5= 1008 and 1008÷6=168 , so there most likely are 168 kids...

I’m confused
what the answer

Answers

367 cm sq

You find the area for all the shapes and then add it up

Triangle - 160cm

Square - 144cm

Trapezoid - 63

A box contains 4 bags of sugar. the total mass of all 4 bags is 6 kg what is the mass of each bag in grams ​

Answers

Answer:

Divide by 4 to get the mass of a single bag and then multiply by 1000 to get to grams from kilograms

Step-by-step explanation:

6/4=1.5

1.5*1000=1500

So, in total a bag of sugar would cost 1500

It’s simple, really- the answer is 1500g or 1.5kg.

All you have to do is divide 4 by six to get the mass of each separate bag.

4/6= 1.5kg

Or 1500g

Hope this helps

If (a, -7) is a solution to the equation 8a = –35 – 5, what is a?

F. -1

G.O

H. 1

J. 4

Answers

Answer:

4

Step-by-step explanation:

I worked this out and I got 4

I think it is right

hope this helps :)

The top of a coffee table is in the shape of a rectangle,
The length of the top of the coffee table is 3.5 feet and
the area is 105 square feet. What is the width of the top
of the coffee table

Answers

Answer:You would need to do 10.5/3.5. This equals 3ft

Step-by-step explanation:

105/ 3.5 because area is length tiles width to find the width just do the opposite. The answer would be 30.

what is 2 + 2 :D also just testing this out ndfjb

Answers

4 lol ::::::)))))))))))

Answer:

21 :Dlol

Step-by-step explanation:

The endpoints of AB are A (7, 8) and B(-2, 3). Find the coordinates of the midpoint M.
Coordinates of midpoint M. OD

Answers

Answer:

The answer is (4, 5)

I’m think the answer is (4,5)
Hope this helped!

Chase has 8 ounces of coffee beans. If each cup of coffee requires 1/9 ounces of coffee beans how many cups of coffee can chase make?

Answers

Answer:

Chase will be able to make 4 cups

Ill give brainliest,

The fastest car on Earth, a British-made Thrust SSC, would win ever Nascar race in America. If it takes 0.5 hours (30 minutes to travel 380 miles, what is its speed?

Answers

nwsnsnsns

Step-by-step explanation:

oh nooooo

welp

A pair of pants originally cost 25 dollars but costs 45 dollars. what is the percent markup? Please help!​

Answers

Answer:

The markup formula is as follows: markup = 100 * profit / cost .

Step-by-step explanation:

For example if your cost is $10.00 and you wish to markup that price by 40%, 100% + 40% = 140%. Multiply the $10.00 cost by 140% and get the retail price of $14.00.

How do you calculate a 45 markup?

Simply take the sales price minus the unit cost, and divide that number by the unit cost. Then, multiply by 100 to determine the markup percentage.

Suppose a calculator manufacturer has the total cost function
C(x) = 22x + 6600
and the total revenue function
R(x) = 66x.
(a) What is the equation of the profit function P(x) for the calculator?
P(x) = _________


(b) What is the profit on 2800 units?
P(2800) = $________

Answers

Answer:

a) P(x) = R(x) - C(x)

P(x) = 66x - 22x - 6600 =

         44x - 6600

b) P(2800) = 44(2800) - 6600 =

                   $116600

What’s the length of the missing side

Answers

Answer:

six

Step-by-step explanation:i had the same test

Answer:

29

Step-by-step explanation:

In order to create a system of equations with the same solution as the system {x+y=102x+y=14, { x+y=10 2x+y=14 , Camilo multiplied both sides of the second equation by a number, added the new equation to the first equation, and replaced the first equation with the result. Which system of equations could be Camilo's new system?

Answers

Answer:

-3x-y=-18

2x+y=14

Step-by-step explanation

i re took the test until i got it right to answer this lol, its correct and good luck with school

2/p + 3 p = 3/5. plz answer quick

Answers

Answer:

Not possible

Step-by-step explanation:

2/p + 3p=3/5 is impossible because p can't equal the same thing.

can you help me please 3-4 please hurry

Answers

Answer:

3)  m = 18  

4)  p = 2

Step-by-step explanation:

3. m= -18

4. p= 2

just solve for the variables

The sum of a number and seven is less than 12

Answers

Answer:

Step-by-step explanation:

X+7 < 12

Pls help (have a good day Jesus loves you )

Answers

512 and god bless u too

Answer:

512

its definitely not 6561

Can you guys make sure what I've done so far is right and fill in the last box? It is due today, February 24, 2021.

Answers

Answer:

yes, you are correct so far, the last box should be 12

Step-by-step explanation:

12 is the y-intercept in this problem because at 0 hour, there were 12 people

Mrs. Lynch has noted that 7 out of every 10 pieces of mail she gets are junk mail. What percent of her mail is junk?

Answers

i think it would be 70% of her mail

Answer:

70%

Step-by-step explanation:

Any thing out of ten would be any ten out of a hundred. Just move the decimal back two places and you get 70%

Which point is NOT part of the solution set?

Answers

Anything not red so an example is (-5,5)

I NEED HELP I WILL GIVE BRAINLIEST

Answers

Answer: 36

Step-by-step explanation:

were my brainliest

Which of the following is an equivalent fraction for 2/3? *

1. 6/9
2. 2/8
3. 12/20
4. 10/30

Answers

1. 6/9
Reason is 2x3=6 and 3x3=9, giving u 6/9

Answer:

6/9 because if you multiply 2/3times 3 its 6/9 which when simplified is 2/3

Write the equation of the graph below.

Answers

Answer:

C . y = 2(x+1)^2 - 3 is the equation

I Need Help Finding The Equivalent Expression.​

Answers

Answer:

9y+45

Step-by-step explanation:

just multiply 9 by (y+5) that's what it means when it's right next to the parentheses without a sign in the middle.

Answer:

9y + 45

Step-by-step explanation:

9 multiplied by y is 9y

9 multiplied by 5 is 45

we cant add 9y and 45 because 9 has a y next to it but 45 does not.

I hope this helped! :)

A and B are two similar shapes the area of shape A is 200cm2 calculate the area of shape B

Answers

Answer:

Area of shape B = 312.5 cm²

Step-by-step explanation:

Ratio of Area of A : Area of B = 12² : 15²

Given that area of A is 200 cm², let the area of shape B = x

Therefore:

200:x = 12²:15²

200/x = 144/225

Cross multiply

144x = 200*225

144x = 45,000

x = 45,000/144

x = 312.5 cm²

Area of shape B = 312.5 cm²

Please help asap!!please im stuck

Answers

Rectangle:
F&B: 24 (front is 24, back is 24)
T&B: 56
L&R: 21
Total: 202

Cylinder:
T&B: 50.27
Middle: 32pi or 100.53 (to 2 d.p.)
Total: 201.06 (to 2 d.p.)

Triangular Prism:
F&B: 24
B: 66
L: 88
R: 110
Total: 312

I think these are right (^^)

find the lenght of side a will give crown

Answers

Answer:

D) 4

Step-by-step explanation:

Pythagorean theorem,

base² + altitude² = hypotenuse²

3² + altitude²   = 5²

9 + altitude²   = 25

      altitude²  = 25 - 9

     altitude²    = 16

altitude = √16 = 4

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