In a​ lottery, the top cash prize was ​$642 ​million, going to three lucky winners. Players pick five different numbers from 1 to 53 and one number from 1 to 46. A player wins a minimum award of $400 by correctly matching two numbers drawn from the white balls​ (1 through 53​) and matching the number on the gold ball​ (1 through 46​). What is the probability of winning the minimum​ award?

Answers

Answer 1

Answer:

[tex] \frac{10}{53 \times 46 \times 26} [/tex]

Step-by-step explanation:

The probability of matching the number drawn on the gold ball is

[tex] \frac{1}{46} [/tex]

The number of possible pairs of numbers from 1 to 53 is

[tex] \binom{53}{2} = \frac{53 \times 52}{2} = 53 \times 26[/tex]

Choosing 5 numbers, you are choosing 10 different pairs:

[tex] \binom{5}{2} = \frac{5 \times 4}{2} = 10[/tex]

Therefore the probability of correctly matching the drawn pair is

[tex] \frac{10}{53 \times 26} [/tex]

Thus, the probability of winning (matching the pair AND the gold ball) is

[tex] \frac{10}{53 \times 46 \times 26} [/tex]


Related Questions

Select the equation written in standard form.
A) x+y=3
B) none of the other answers are correct
C) y=3×+7
D) y+7=×
E)×=2+3y​

Answers

Answer:

c

Step-by-step explanation:

standard form is y=mx+b

Larry and Jack are playing a game of rock-paper-scissors. The probability that Larry will win two times in a row is. Using this probability, determine if the event of Larry winning the first game and the second game was independent, dependent, both, or neither.

Answers

The event of Larry winning the first game and the second game was dependent since it was stated that he won two in a row.

How to depict the probability?

It should be noted that dependent events are the events that depend on what happened before.

In this event, the first game is being considered in this situation. Therefore, the event of Larry winning the first game and the second game is dependent.

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Find the value of X.

Answers

Answer:

[tex]360 - 140 = 10x \\ 220 = 10x \\ x = 22[/tex]

Suppose that P, is invested in a savings account where interest is compounded continuously at 6% per year.
When will the investment double itself?

Answers

Answer:

We'll need the attached equation.

We'll use as an example that principal = 100 and total =200.

Years = ln (total/principal)   /  rate

where "ln" means natural log

Years = ln (200/100) / .06

Years = ln (2) / .06

Years = 0.69314718056 / .06

Years = 11.5524530093

Source:  http://www.1728.org/rate2.htm

Step-by-step explanation:

Kelly rides the bus to work d days each month. She pays a fare of $2.25 each time. On t of those days, she pays an additional fare of $0.75 to transfer onto another bus. The expression shown can be used to find her total cost for bus fare for the month.
d × 2.25 + t × 0.75
Which statement explains how to find Kelly’s total bus fare for the month?

Answers

Answer: A: find the product of D and $2.25 and the product of t and $0.75. Then find the sum of the two products.

The total fare for the bus can be found by first find the product of d and $2.25 and the product of t and $0.75. Then find the sum of the products.

What are Expressions?

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given that,

The total fare for the bus can be calculated using the expression

d × 2.25 + t × 0.75

Here d is the total days that Kelly worked in a month.

On each of these days, she pays a fare of $2.25.

Total fare now = d × 2.25

Find this product.

There is also an additional fare of $0.75 to transfer onto another bus on t of these days.

Additional fare = t × 0.75

Find this product.

Add the resultant both products.

Hence the statement which explains how to find Kelly's total bus fare for the month is first find the product of d and $2.25 and the product of t and $0.75. Then find the sum of the products.

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A positive number with an absolute value less than 5.

Answers

Answer:

3 I think.

Step-by-step explanation:

it's positive and it's also an absolute

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

X = 2 and y = 8
Trust this is correct

Answer:

x=2, y=8

Step-by-step explanation:

2x+y=12

2(2)+y=12

4+y=12

4+y-4=12-4

y=8

PLEASE HELP ASAP ILL GIVE BRAINLIEST


Jean makes $ 10 per hour as a sales associate at Macy's serenity earns $5 per hour plus tips at TGI Friday'srestaurant. One evening, Serenity earned $40 in tips while working between 6 pm and10 pm. Meanwhile Jean was working at Macy's at that time. Explain who earned more by presenting equations

Answers

Answer: Serenity made more money.

Step-by-step explanation: She got 40$ in tips- AND she gets 5$ per hour. Four hours went by, (6-10pm) so she gets an additional 20$ dollars, making her the one with more money because Jean made 40$.

solve the riddle for points and crown

Answers

It’s is 4/8 That is because 4 is greater than 3, 8 is less than 10, and it equals 1/2

Answer:

2/4 is another possible answer.

Step-by-step explanation:

Which of the following statements is/are TRUE about diagonals of special parallelograms?
I. The diagonals of a rectangle are congruent.
II. The diagonals of a square are perpendicular and bisect each other.
III. The diagonals of a rhombus are congruent.
IV. The diagonals of a rhombus bisect each other perpendicularly.​

Answers

Answer:

I, II and IV

Step-by-step explanation:

The diagonals of a rectangle are congruent. The diagonals of a square are perpendicular and bisect each other. The diagonals of a rhombus bisect each other perpendicularly.​

Quadrilateral

A quadrilateral is a polygon with four sides and four angles. Types of quadrilateral are rectangle, square, rhombus.

The diagonals of a rectangle are congruent. The diagonals of a square are perpendicular and bisect each other. The diagonals of a rhombus bisect each other perpendicularly.​

Find out more on Quadrilateral at: https://brainly.com/question/16691874

What is the correct answer for each box

Answers

Answer:

1) A ; 2) D ; 3)B ; 4)C

Step-by-step explanation:

we can solve every option and see what trinomal result

A (2x-3)(x-3) = 2x^2 -6x-3x +9 = 2x^2-9x+9

B (2x+3)(x-3) = 2x^2 -6x+3x-9 = 2x^2-3x+9

C (2x-3)(x+3) = 2x^2+6x-3x-9 = 2x^2+3x-9

D (2x+3)(x+3) = 2x^2+6x+3x+9 = 2x^2+9x+9

278÷3 in one decimal place​

Answers

Answer:

92.6! Hope this helps.

Step-by-step explanation:

-lei

The answer is 92.6
hope this helps

Can anyone give me the answers to these with the work. Will give brainliest

Answers

Answer:

(13) = 10

(14) = 30

(15) = 26.64

(16) = 42.9

(17) = 64.5

(18) = 129.01

(19) = 47.84

(20) = 17.55

(21) = 38.16

(22) = 17.55

Step-by-step explanation:

M U L T I P L I C A T I O N

10

x

 3

-----

30

top down is hard to put with keys

A car at rest accelerates at a constant rate. After 5 seconds, the car's velocity is 80 m/s. What is the acceleration rate? Enter the value only (no units).​

Answers

Answer:

16

Step-by-step explanation:

I have to find the missing angles​

Answers

Answer:

11 & 12 = 19⁰

13 = 71⁰

14, 15, 16 & 17 = 90⁰

18 & 20 = 78⁰

19 = 12⁰

Step-by-step explanation:

14,15,16 and 17 are formed from perpendicular lines. They are not counted as angles for the kite because, the are in the middle of the kite, not at the side...

You can easily find the angles using the triangle angles formula...to find 12,

180 - 90 - 71 = 19

To find 20 & 18, with the same method,

180 - 90 - 12 = 78

D)
57.5 units
28)
You want to construct an open-top box that is 6 inches deep, with a square base. It must have a volume of 864 cubic inches. You
have one big piece of cardboard. You will start by cutting it down to a square, and then you will cut smaller squares out of each
corner and fold up the sides.
Which THREE statements are correct?
A)
The volume of the box is V - lwh – 864 in'.
Eliminate
B)
The height of the box is 12 inches.
C)
You need a cardboard square with 22-inch sides,
D)
The volume of the box is V - 6x3
ng
E)
V - 6x? - 864 in
0

Answers

A C and E are the answers!

Hiiioooo!! ❤️❤️Can someone please help me with this. Much love
-Boopy!

Answers

Answer:

CAB angle

Step-by-step explanation:

Molly earns $6 for each hour she babysits plus $10 to cover any personal
expenses. Suzie earns $4 for each hour she babysits plus $24 to cover
personal expenses. At a certain point, Molly and Suzie will work the same
number of hours and earn the same amount of money. At this point, how
much money will each girl earn?
A.$34
B.$44
C.$52
D.$62

Answers

Answer:

44

Step-by-step explanation:

Answer:

The answer is C or 52!!

Step-by-step explanation:

Brainliest Please!


There is a population of 300,000 bacteria in a colony. If the number of bacteria doubles every
26 minutes, what will the population be 52 minutes from now?

Answers

Answer:

156000000

Step-by-step explanation:

help me please???????

Answers

Shape is a parabola.

Which of the following sets of side lengths could produce a triangle? SELECT ALL THAT APPLY. (7TH GRADE MATH)
A) 3,6,9
B) 13, 5, 6
C) 5, 5, 10
D) 5, 7, 11
E) 4, 4, 4

Answers

Answer: C)5,5,10

Step-by-step explanation:

C




Trust me



I want a cookie tho

help? i need this done by the end of the day

Answers

45.5 is the right answer

HELP ME PLEASE I BEQ YOU
!!!!!
Jenna is measuring the length of her textbooks to see if they
will fit in her new desk at school. Jenna's three textbooks
measure 25 centimeters long, 370 millimeters long, and 24
centimeters long. What is the combined length of Jenna's
textbooks if she wants to lay them down side-by-side in her
desk?
A. 86 millimeters
B. 86 centimeters
C. 860 centimeters
D. 8.6 millimeters

Answers

Answer:

86 cm

Step-by-step explanation:

1. convert 370 mm to cm ---> 37 cm

2. add : 25 cm+ 37 cm+ 24 cm = 86 cm

DUE IN 20 MINS

Mr. Nguyen opened a savings account with an initial deposit of $480 and will not make any additional deposits or withdrawals. The account earns 2% simple interest. What is the total amount that Mr. Nguyen will have in his account at the end of 3 years?

A $28.80
B $2,880.00
C $508.80
D $768.00

Answers

The answer would be A!

Answer:bellow hope I helped most likely c

Step-by-step explanation:

If 2% per year

480 x 1.02 = 489.6 first year

489.6 x 1.02= 499.392. Second year

499.392 x 1.02 = 509.37984 third year

If 2 % per all 3 years

480 x 1.02 = 489.6 all 3 years

If 2 % per each month

480 x 1.02 = 489.6 first month

489.6 x 1.02 = 499.392 second month

499.392 x 1.02 = 509.37984 third month

509.37984 x1.02 = 519.5674368 forth month

519.5674368 x1.02 =529.958785536 fifth month

529.958785536 x 1.02 =540.5579612467 sixth month

540.5579612467 x 1.02 = 551.3691204716 seventh month

551.3691204716 x 1.02 =562.396502881 eigth month

562.396502881xl x1.02 = 573.6444329386 nineth month

573.6444329386 x 1.02 =

585.1173215974 tenth month

585.1173215974 x 1.02= 596.8196680293 11th month

596.8196680293 x 1.02=608.7560613899 12 months (1 year)

608.7560613899 x1.02 = 620.9311826177 1st month 2nd year

620.9311826177 x 1.02= 633.3498062701 2nd month 2nd year

633.3498062701 x 1.02 = 646.0168023955 3rd month 2nd year

646.0168023955 x 1.02 =658.9371384434 4th month 2nd year

658.9371384434 x 1.02= 672.1158812123 5th month 2nd year

672.1158812123 x1.02 = 685.5581988365 6th month 2nd year

685.5581988365 x 1.02 =699.2693628132 7 th month 2nd year

699.2693628132 x1.02 =713.2547500695 8th month 2nd year

713.2547500695 x 1.02 =727.5198450709 9th Month 2nd year

727.5198450709 x 1.02 =742.0702419723 10th Month 2nd year

742.0702419723 x 1.02 =756.9116468117 11 th month 2nd year

756.9116468117 x 1.02 = 772.0498797479 12th month 2nd year (2 years)

772.0498797479 x 1.02 = 787.4908773429 1st month 3rd year

787.4908773429 x 1.02 =803.2406948898 2nd month 3rd year

803.2406948898 x 1.02 = 819.3055087876 3rd month 3rd year

819.3055087876 x 1.02 = 835.6916189634 4th month 3rd year

835.6916189634 x 1.02 =852.4054513427 5th month 3rd year

852.4054513427 x1.02 = 869.4535603696 6th month 3rd year

869.4535603696 x 1.02 =886.842631577 7th month 3rd year

886.842631577 x 1.02= 904.5794842085 8th month 3rd year

904.5794842085 x 1.02 = 922.6710738927 9th month 3rd year

922.6710738927 x 1.02 = 941.1244953706 10th month 3rd year

941.1244953706 x1.02 = 959.946985278 11th month 3rd year

959.946985278 x 1.02 =979.1459249836 12th month 3rd year (3 years)

Sandra notices a fourth racer called the Whirlwind. Its poster says it covers 1232 yards in 180 seconds. She wants to compare the Whirlwind with the other racers. What is the Whirlwind's speed in yards per seconds to the nearest tenth?

Answers

Answer:

6.8yards/seconds

Step-by-step explanation:

Speed = Distance/Time

Given the following

Distance covered = 1232 yards

Time taken = 180 seconds

Substitute to get the speed

Speed  = 1232/180

Speed  = 6.84

Hence whirlwind's speed in yards per seconds to the nearest tenth is 6.8yards/seconds

Leah gets paid $795 biweekly. What is the recommended monthly rent that she can afford?

Answers

I would say since thats $1500+ a month about 600 dollars, because she will have bills and then have to buy food drinks and alot more.

3,000 with money left over is what I got.

-6y^2 + 9y^2 - y - 9 - 7y^2 + 1 + 10y + 3y
simplify the expression by combining like terms right the terms from highest to lowest power of the valuable

Answers

Answer: -4y^(2)+12y-8

Step-by-step explanation: Combine like terms

Answer:

-4y² + 12y - 8

Step-by-step explanation:

-6y² + 9y² - y - 9 - 7y² + 1 + 10y + 3y

-6y² + 9y² - 7y² - y + 10y + 3y - 9 + 1

-4y² + 12y - 8

pls help!! this is due in like 5 mins :/. (i’ll give u brainiest if u don’t provide a link just pls help me!)

Answers

Answer:

B

Step-by-step explanation:

They help support the tree in shallow soil so it does not fall over

Express as a trinomial.

(2x+1)(x+9)

Answers

Answer:

2x^2 + 19x + 9

Step-by-step explanation:

Using the FOIL method (ask me via comments if you don't know what it is), we expand it to 2x^2 + 18x + x + 9, then we add like terms, equal to 2x^2 + 19x + 9.

The trinomial expression for (2x + 1)(x + 9) is [tex]2x^2 + 19x + 9[/tex].

To express (2x + 1)(x + 9) as a trinomial, you need to perform the multiplication.

Distribute each term from the first parenthesis to each term in the second parenthesis:

(2x + 1)(x + 9) = 2x * x + 2x * 9 + 1 * x + 1 * 9

Now, simplify the expression:

[tex]= 2x^2 + 18x + x + 9[/tex]

Finally, combine like terms:

[tex]= 2x^2 + 19x + 9[/tex]

So, (2x + 1)(x + 9) expressed as a trinomial is [tex]2x^2 + 19x + 9.[/tex]

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Please help
Choose one

Answers

Answer:

i would say b

Step-by-step explanation:

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