Mathematics College

a) Two cards are dealt off a well-shuffled deck. You win $1 if the two cards are

of different suits. Find the probability of your winning?

b) A coin is tossed 5 times. What is the probability that the first toss is a head

or exactly 2 out of the five tosses are heads?

c) In a shuffled 52-card deck, what is the probability that neither the top nor

the bottom card is a heart?

d) A bag contains 20 red marbles, 20 green marbles and 20 blue marbles. You

reach in and grab 15 marbles. What is the probability that they are all the

same colour?

Answers

Answer 1

Answer:

A.) 0.7647 b.) 13/ 16 C.) 0.9412 D.) 8.743 * 10^-10

Step-by-step explanation:

A)

Number of cards per suit = 13

Nunber of suits = 4

Probability = required outcome / Total possible outcomes

P(1) = probability of picking a card from a certain suit

P(1) = 13 / 52

Hence, probability that 2nd card will be from a suit different from the first :

Total possible outcomes = (52 - 1) = 51

Required outcomes = (13 * 3) = 39

= 39 / 51

= 0.7647

B.)

First toss being head :

Required outcome = H = 1

Total possible outcomes = T or H = 2

P(H) = 1/ 2

For 5 tosses

Total possible outcomes = 2^n = 2^5 = 32

Exactly 2 heads = 10

P(exactly 2 heads) = 10/32 = 5/16

1/2 + 5/16 = (8 + 5) / 16 = 13/16

c)

1 - P(both top and bottom are hearts)

Number of hearts = 13 ; number of cards = 52

P(both are hearts) = 13/52 * 12/51 = 0.05882

1 - 0.05882

= 0.94117

= 0.9412

d)

Either all marbles are red OR all marbles are green OR all marbles are blue

Total number of marbles = (20 + 20 + 20) = 60

Probability that all 15 marbles are of a certain color :

(20/60 * 19/59 * 18/58 * 17/57 * 16/56 * 15/55 * 14/54 * 13/53 * 12/52 * 11/51 * 10/50 * 9/49 * 8/48 * 7/47 * 6/46)

(2.9146E−10) + (2.9146E−10) + (2.9146E−10)

= 8.7438E−10

= 8.743 * 10^-10

Related Questions

please help!!! i need an answer on this

Answers

Answer:

15/30

Step-by-step explanation:

To get from 10 to 30 you have to muliply by 3.

So you do that to the 5 too.

5 * 3 = 15

The answer would be 15 because half of 10 is 5 so you just have to do that to 30, half of 30 is 15

3.2 - 5.1n - 3n + 5= n +8.2 can someone tell me what goes in the blank

Answers

The answer for (n) is 0

Simplify {n-1-[n-1-(0 - 1)]​

Answers

Anwser would be -1

Hope this helps

Express 7.000,000,000 in scientific notation

Answers

Answer: 7 × 10^9

Step-by-step explanation:

10 to the 9th power is 1,000,000,000

7 x 1,000,000,000 = 7,000,000,000

Hope that helped!

Answer:

7x10*9

Step-by-step explanation:

Izabella answered 43 out of 50 questions correctly on her STAAR test. What percentage did Izabella answer correctly?

Answers

Answer:

Step-by-step explanation:

86 percent i hole this helps!

Mary is making a birthday cake to surprise her mom. She needs 3 1/2 cups of flour, but she only has 1/3 cup. How much more flour does she need?

Answers

Answer:

3 1/6 cups more

Step-by-step explanation:

Answer:

3 1/2 = 7/2 (write as a mixed number)

7/2 - 1/3 = ?( you need more flour, so subtract what you have from what you need. to subtract you need to find the least common denominator)

21/6 - 2/6

19/6 cups of flour is what you need.

or 3 1/6 cup if it needs to be converted back into a mixed fraction

Step-by-step explanation:

NEED HELP FASTT 100 points for step by step answers

Answers

Answer:

please refer to the above attachment.

2x2 + 8x - 7 = 0
How to solve

Answers

x =(8-√120)/4=2-1/2√ 30 = -0.739

Step-by-step explanation: calculator

Answer:

2 x 2 +8x -7= 0

4+8x-7=0

-3+8x=0

8x=0+3

8x/8=3/8

x=3/8

x=0.375

Step-by-step explanation:

1.Multiply 2x2 to get 4

2.Calculate the difference between 4-7

3.Move the constant to the right side

4.Divide both sides of the equation by 8



Translate this phrase into an algebraic expression.
Seven more than the product of 22 and Vanessa's savings
Use the variable v to represent Vanessa's savings.

Answers

Answer:

22

Step-by-step explanation:

The algebraic expression is 22v + 7.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Vanessa's savings = v

The expression that represents the phrase.

"Seven more than the product of 22 and Vanessa's savings."

= 22v + 7

Thus,

The algebraic expression is 22v + 7.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

find the length of the unknown side. round to the nearest tenth​

Answers

the answer is 3
use the formula a^2+b^2=c^2 to solve this

Twins Isaac and Isaiah were just born. Isaac weighs 6 pounds 2 ounces and Isaiah weighs 5 pounds 4 ounces. How many ounces do Isaac and Isaiah weigh together?

Answers

It would be 11 pounds 6 ounces

Item 1
One February day, the low temperature in St. Paul, MN was -17°F. Over a period of three hours, the temperature rose 5 °F per hour. After three hours, what was the temperature?
°F

Answers

-2f
5 x 3 is 15, the three stands for the three hours and the five stands for the temperature per hour increase. -17f plus 15 is -2f

I am once again asking for your help with solving this problem.

Answers

Answer:

llll, Vl, Vll

Step-by-step explanation:

PLEASE HELP (this is all my points I’ll mark brainlist anything please help)

Answers

Answer:

I believe that it would be A+C+S but is there more to the question?

Step-by-step explanation:

omg

Step-by-step explanation:

Please help I need this to pass. Please

Answers

Answer:

Step-by-step explanation:

1. Longest side = hypontenuse   shorter sides = legs

2.  x=-2

3. Something in data that differs significanttly from the other data.

how are you not knnow this

2) -2, checked

3) a data point on a graph or in a set of results that is very much bigger or smaller than the next nearest data point.

i have no idea on the fist one, sorry, but hope the rest helped

Which is the range of this function?
{(-5, 7), (-3, 10), (0, 2), (4, 6), (9, 0)}

Answers

Answer:

{y | y = -9, -3, 0, 5, 7}

Step-by-step explanation:

i think thats the anwer

hi can someone help i have to simplify fractions HELP please it should be easy!!!!

Answers

1. 2/3
2. 1/2
3. 2 (if it's 20/10 it's not clear)
4. 5/6
5. 1/4
6. 1/2
7. 2/3
8. 1/6
9. 3/4
10. 3/5
11. 3/4
12. 5/8

Answer:

18/27=2/3

6/12=1/2

20/10=2/1

10/12=5/6

2/8=1/4

15/30=1/2

8/12=2/3

6/36=1/6

15/20=3/4

30/50=3/5

21/28=3/4

15/24=5/8

Step-by-step explanation:

Suppose that 6 out of the 19 doctors in a small hospital are General Practitioners, 9 out of the 19 are under the age of 45, and 3 are both General Practitioners and under the age of 45. What is the probability that you are randomly assigned a General Practitioner or a doctor under the age of 45

Answers

Answer:

12/19

Step-by-step explanation:

We have these events

A = Doctors are general practitioners

B = doctors are under the age of 45

P(A) = 6/19

P(B) = 9/19

P(A n B) = 3/19

Then the probability of being assigned a general practitioner under age 45

P(AuB)

= P(A) + P(B) - P(A n B)

= 6/19 + 9/19 - 3/19

= 12/19

So 12/19 is the probability of getting a general practitioner under age 45.

Please help and get points!

Answers

Answer:

D

Step-by-step explanation:

4)
The 8th grade students at two middle schools are raising money by washing cars.
Eastern School has already raised $625 and charges $4.50 per car. West School
charges $6.00 per car and has already raised $475. Which of the following equations
can be used to find c, the number of cars each school needs to wash so that the total
amount raised is the same for both schools?
A. 625c +4.5 = 475c + 6
B. 4.50 +625 = 6c +475
C. 625c +6=4750 +4.5
D. 4,5c 1475 = 6c 4625

Answers

Answer:

B is the only answer

Step-by-step explanation:

all other answers plug the amount of money (c) onto the whole amount that they've made, multplying in this manner would give a bigger number. B is the only excusable equation since plugging the (c) onto the West school would bring the total closer to the final amount.

PLEASEEEE I WWILLL GIVE BRAINLEIST 6b. In Renton the sales tax is 9%. What is the total cost including tax on a $20 purchase?

Answers

I think that the answer is $21.80
Hope it helps!:)

divide 4,052 divided by 61​

Answers

66.42622950819672 is the answer

Answer:

R u that lazy to not type it in a calculator

Step-by-step explanation:

But it is 66.4262295082

Pls make me buy brainiest

x2 - 4x + y2 - 21 = 0 The equation in standard form is​

Answers

Standard Form:
(X - 2)2 + y2 = 25

Help pls explain and how you got it

Answers

Step-by-step explanation:

just minus 100 out of the percentage

for example 20% is 100 - 20 = 80

80% is 120 - 40 is half of 80 so multiply by 2 and you get 120
40% is 60 - given
20% is 30 - 20 is half of forty so half of 60 is 30
10% is 15 - half of 20 is 10 so half of 30 is 15
Not sure about the rest

Jackson has twice as many cards as his friends Alex and Chase combined. Alex has 55 Cards in his collection. Jackson Has 200 cards in his collection. How many cards does Chase have in his collection?

Answers

Answer:

45

Step-by-step explanation:

200 divided by 2 = 100-55=45

Answer:

45

Step-by-step explanation:

200-55=145

Since Jackson has twice as many as them combined, he would have 45.

NEEDED ASAP Just do numbers 1-6, 22-24, 25,26
work NEEDS to be shown and uh um I will give brainliest

Answers

Answer:

0.625                5/6=0.6250.222 (repeating)        2/9=0.222 0.432 (repeating)        16/37=0.432 -0.111 (repeating)         -1/9=-0.11110.45             27/50=0.45-0.75       -3/4=-0.75

22.   -2  21/50     .42=42/100=21/50

23.   -4/25     .16=16/100=4/25

24.  -13/20      .65=65/100=13/20

25.  31/50= 0.62

26.    7/15= 0.466 (repeating)

I hope this what you wanted:

The number is halfway between 1/5 and 14/15

Answers

Answer:

17/30

Explanation:

m a t h

PS:

Can I have brainliest?

ANSWER:

4

___

15

STEP BY STEP:

PLS HELP WILL GIVE BRAINLIEST ANSWER

Answers

Answer:

56°

Step-by-step explanation:

First, the measure of angle GHE is equal to DFH. This means that you can set 98-6x=63-x, which becomes 5x=35 so x=7. Substitute 7 for x and you'll get DFH =63-7, which is 56.

i need help ;;
System of Equations: Perimeter
The perimeer of a rectangular dog pen is 126 feet. The pen's length, I, is 9 feet less than 3 times its width, w. What system of linear equations can be used to determine the dimensions, in feet, of the rectangular dog pen?​

Answers

Answer:

Concept: Perimeter

We are told the perimeter is 126 We need to model it given that l= length and w= width [tex]126 =((l - 9)( 3 \times w))[/tex]Rate brainlist

If a bus travels at 48MPH how long will it take to be able to travel 60 miles

Answers

It will take 1.25 hours
Other Questions
The following citation is for a page on a Web site. Identify the error in the citation. PLEASE HELP ASAP I DONT GET SOMEONE PLEASE EXPLAIN TOO!!! 8. Write the equation of a line through points (5,5) and (1, 0) in point-slope form.y = (x - 1)5y-1= = (x - 1)y==(x-5)y-5= -(x - 1) So please help me with this!! What is the solution to 5(x-1)+3x=7(x+1) add the sum of 10 and 11 to the product of 10 and 11 and the difference between 10 and 11 Help!!!This is the last stage and I don't want to screw this up! :( What is the equation that matches the graph?Group of answer choicesy = 1/8xy = 8xy = 4xThere is no equation because a constant of proportionality does not exist. Hannah is investigating how all of Earths systems can affect each other at any given moment. What is one way the cryosphere can affect the atmosphere? Given that f(x) = x-1,a) Find f(5)b) Find f-'(x)c) Find f-'(8) What is 3 x 3 x 3 x 3 is exponet form In the story, what causes the conflict between the narrator and the old man? How many grams of nacl are in 750 ml of 1/2 ns? (answer must be numeric; no units or commas; include a leading zero when answer is less than 1.)? A martial arts studio offersbeginner and advanced lessons. Thebeginner lessons cost $7 less thanhalf the cost of the advancedclasses. Mrs. Turner paid for 4beginner classes and 3 advancedclasses and spent $118. Let x be thecost of the beginner classes and y bethe cost of the advanced classes. (It's not math it's just under that file) Trying again, if you are good at music please help me out with this. What was the main reason for Henry VIIIs split from the Roman Catholic Church? When is carbon dioxide released during aerobic cellular respiration? Can you tell me the definition of the highlighted word please in your own words (Thank you) How long does it take to make vaccines? 1 Which formula shows a linear equation?A. C = 2arB. A = ar?C.V=arD.dA =-(