Lotto Texas offers multi-million dollar jackpots with drawings every Wednesday and Saturday. Lach $1 ticket allows the player to pick 6
numbers from 54. To win the jackpot, all 6 numbers must match (in any order)
How many different lottery tickets could be sold?
How many ways are there to win the jackpot? I
How many ways are there to match 5 of 6 numbers?
How many ways are there to match 3 of 6 numbers?
How many ways are there to match 4 of 6 numbers?

Answers

Answer 1

The computation of the probability from the jackpots drawings of Lotto Texas shows that the number of different lottery tickets that could be sold is 25827165.

How to calculate the probability?

The number of different lottery tickets that could be sold will be:

= 54C6

= 54! / (54-6)!6!

= 54! / 48!6!

= 25827165

The number of ways that are there to match 5 of 6 numbers will be:

= 6C5 × (54 - 6)C1

= 6 × 48

= 288

The number of ways that are there to match 3 of 6 numbers will be:

= 6C3 × (54 - 6)C3

= 20 × 17296

= 345920

The number of ways that are there to match 4 of 6 numbers will be:

= 6C4 × (54 - 6)C2

= 15 × 1128

= 16920

Learn more about probability on:

https://brainly.com/question/25870256


Related Questions

Solve |y + 2| > 6

thanks

Answers

Answer:

[tex]\huge\boxed{y>4\ \vee\ y<-8}\\\boxed{y\in(-\infty;\ -8)\ \cup\ (4;\ \infty)}[/tex]

Step-by-step explanation:

[tex]|y+2|>6\iff y+2>6\ \vee\ y+2<-6\qquad|\text{subtract 2 from both sides}\\\\y+2-2>6-2\ \vee\ y+2-2<-6-2\\\\y>4\ \vee\ y<-8\Rightarrow y\in(-\infty;\ -8)\ \cup\ (4;\ \infty)[/tex]

Graph the solution of this inequality 3/4(x+8)>1/2(2x+10)

Answers

Answer:

I'm terrible at explaining so here's a screenshot

- Ripper

Step-by-step explanation:

Convert 40 ounces into pounds. Round your answer to the nearest tenth.
Hint. There are 16 ounces in one pound.
A. 2.5 pounds
B. 640 pounds
C. 0.4 pounds

Answers

Answer:

Step-by-step explanation:

is 5/10 equivalent to 1/6​

Answers

Answer:

No, its not equivalent

1/2 is equivalent though

Please mark as brainliest

Answer:

No

Step-by-step explanation:

Given the following question:

[tex]\frac{5}{10}[/tex]

You can prove 5/10 isn't equivalent to 1/6 by simply reducing 5/10.

[tex]\frac{5}{10}[/tex]
[tex]\frac{5}{10}\div5=\frac{1}{2}[/tex]
[tex]=\frac{1}{2}[/tex]
[tex]\frac{1}{2} > \frac{1}{6}[/tex]

5/10 isn't equivalent to 1/6, so your answer is "no."

Hope this helps.

Can you please help me?

Answers

9514 1404 393

Answer:

  32

Step-by-step explanation:

Use the formula.

  [tex]a_2=a_1\times4=2\times4=8\\\\a_3=a_2\times4=8\times4\\\\\boxed{a_3=32}[/tex]

At Jack’s ice cream shop, a customer receives a free ice cream cone for every 5 ice cream cones the customer purchases. Which of the following represents the ratio of the number of ice cream cones a customer purchases to the total number of ice cream cones the customer purchases and receives for free?

Answers

Answer:

5:1

The question states that for every 5 ice cream cones a customer purchases that they will get one free ice cream cone.

Example:
This means if a customer purchased 25 ice cream cones then they would get 5 free ice cream cones.



Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

=> 0:2

step by step :

divide the first number by the second number and multiply the result by 100 (if necessary)

> first term is 1

> second term is 2

solution :

1 ÷ 5 = 1/2 (2dp) which is =0,2

final solution:

=0:2

Solve the inequality and graph its solution.
|n| > 7

Answers

inequality form N N<-7 or N>7

The dosage of cough medicine for a child 4 to 6 is 1/2 every 4 hours. If a child receives 5 doses of medication over 2 day, how many teaspoons has the child receives

Answers

2 1/2 teaspoons

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

There is some unnecessary information in the problem, first, it should be removed.

"The dosage of cough medicine for a child 4 to 6..."

"2 days"

Listing the age and days don't matter here, it's the rest of the problem that matters!

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

"1/2(a teaspoon) every 4 hours,"  This is one dose. Multiply 1/2 by five to see how many teaspoons are consumed.

1/2 x 5 = 2 1/2 (teaspoons)

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

Good luck! :)

~pinetree

which equation represents the graphed line??? 20POINTS!!!!!!!

Answers

Answer:

B. y-1 = -2(x-3)

I think because the line met there

does anyone know this ​

Answers

Answer:

x ≤ 9

Step-by-step explanation:

Step 1: Write inequality

x - 9 ≤ 2(9 - x)

Step 2: Solve for x

Distribute 2: x - 9 ≤ 18 - 2xAdd 2x on both sides: 3x - 9 ≤ 18Add 9 to both sides: 3x ≤ 27Divide both sides by 3: x ≤ 9

Here we see that any solution less than or equal to 9 would work.

Answer:

x ≤ 9

Step-by-step explanation:

x -9 ≤ 2(9 -x)    

x -9 ≤ 18 -2x

+2x         +2x

3x -9 ≤ 18

    +9    +9

3x  ≤ 27

[tex]\frac{3x}{3}[/tex] ≤ [tex]\frac{27}{3}[/tex]

x  ≤ 9

Many utility companies promote energy conservation by offering discount rates to consumers who keep their energy usage below certain established subsidy standards. A recent report notes that 20% of island residents of a country have reduced their electricity usage sufficiently to qualify for discounted rates. If five residential subscribers are randomly selected from a city on this island find the probability of each of the following events.

a. All five qualify for the favorable rate
b. At least four qualify for the favorable rates

Answers

Answer: a. 0.00032    B. 0.00672

Step-by-step explanation:

Given: Proportion of  island residents of a country have reduced their electricity usage (p) = 20%= 0.20

Here, residents have two choices either reduced electricity usage or not , hence it follows binomial distribution

Let X be a binomial variable that represents the number of successes .

Binomial distribution formula:

[tex]P(X)=^nC_xp^x(1-p)^{n-x}[/tex], n= sample size.

a.

[tex]P(X=5) = ^5C_5(0.20)^5(1-0.20)^{5-5}=(1)(0.20)^5(1)\\\\=0.00032[/tex]

b. [tex]P(X\geq4)=P(4)+P(5)[/tex]

[tex]^5C_4(0.20)^4(1-0.20)^{5-4}+0.00032\\\\=(5)(0.20)^4(0.80)+0.00032\\\\=0.0064+0.00032\\\\=0.00672[/tex]

ch rectangle. Then write an equation and solve it.
and width of each rectangle.
- 4
A=64
*-4
loc- 4
*-4

Answers

(x-4)^2=64
x-4=8
x=12
width = 12-4=8

V
Graph the line y= -7.

Answers

Answer:

There is no slope, so we draw a line parallel to the x-axis and the width of the origin is equal to -7

Need help quick!!
WILL GIVE BRAINLIEST

Answers

Answer:

3 and 4 x=25, y=29

Step-by-step explanation:

If you need a step by step explanation, I will edit this later.

The grid represents all of the following decimal numbers except

0.300
0.3
0.30
0.030

Answers

Answer:

0.030

Step-by-step explanation:

0.030 is 3/100

what is show above is 3/10 and 0.300, 0.3, 0.30 are all equal to 3/10

Work out the length of X.
х
8 cm
15 cm

Answers

Using the Pythagorean theorem which states that;

a²+b²=c²

or

side (1) ²+side (2) ²=hypotenuse²

15²+8²=x²

225+64=x²

289=x²

Take the square root of both sides to get;

x=√289=17

x=17

Step-by-step explanation:

[tex] \longmapsto \: hypotenuse(h) = x \\ \longmapsto \: perpendicular(p) = 15cm \\ \longmapsto \: base(b) = 8cm \\ using \: pythagoras \: theorem \\ \hookrightarrow {h}^{2} = {p}^{2} + {b}^{2} \\\hookrightarrow {x}^{2} = ({15cm}^{2} + ({8cm})^{2} \\ x = \sqrt{225 {cm}^{2} + 64 {cm}^{2} } \\ \hookrightarrow \: x = \sqrt{289 {cm}^{2} } \\ \hookrightarrow \: x = 17cm [/tex]

A stadium can seat 46,000 people for a baseball game. One day, 49,442 people attended a game. How many people had to stand because they did not have a seat?

Answers

Step-by-step explanation:

49,442-46,000=3,442

For what value of x must ABCD be a​ parallelogram?

Answers

Answer:

7

Step-by-step explanation:
add 7 to 3x

Then: 4x-3x=1x which gives:

1x=7

7/1=7

(-9.206) x(14.04)=
in a decimal

Answers

Answer:

=−129.25224x

Step-by-step explanation:

(−9.206x)(14.04)  you just simplify

(-9.206) x (14.04) =

Answer: -129.25224

Help help math math ASAP pelsss

Answers

Answer:

(6, 1)

Step-by-step explanation:

x + 3y = 9

x + 4y = 10

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

-1 (x + 3y = 9)

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

-x - 3y = -9

x + 4y = 10

      1y = 1  or y =1

x + 4y = 10

x + 4(1) = 10

x + 4 = 10

   -4     -4

x = 6

I hope this helps!

Staples sells boxes of pens ($25) and rubber bands ($5). Leona ordered a total of 20 cartons for $360. How many boxes of each did
Leona order? Hint. Let P= Pens.

Answers

Answer:

Step-by-step explanation:

I dont fully know if i am correct but i think its this:

p + r = 22

9p + 6r = 180

p = 22 - r

9(22 - r) + 6r = 180

198 - 9r + 6r = 180

-3r = -18

r = 6

p = 22 - 6

p = 16

Write the ratio: 0.28 to 0.84 as a fraction in lowest terms.

Answers

0.28 = 7/25
0.84 = 21/25

Hope this is the answer you were looking for.

Find f '(x) for f of x equals the square root of the quantity sine of 4 times x

Answers

Answer:

I'm not exactly sure, sorry.

Step-by-step explanation:

[tex]\sqrt{x} sin(4)*x[/tex]

square root of sin(4) times x

The goal of this equation is to find an x value that will make both sides equal.

I probably shouldn't answer this question since I can't really find a solution to it, but I don't really think its solvable.

Which value of x makes this equation true?
HELPPP

Answers

a! if x=-2 then both sides equal ten :)

Answer:

x=-2

Step-by-step explanation:

First you remove the parenthesis by distributing.

Second you collect like terms

Third move the terms to where they can be added

Fourth calculate

Fifth divide

Then boom answer (you got helped by an 8th grader)

Pavit has a clock with a minute hand that extends to the clock's edge. The minute hand is 5.25 inches long. What is the circumference of the clock?

Answers

Answer:

10.5[tex]\pi[/tex] Inches

Step-by-step explanation:

C=2[tex]\pi[/tex]r

C=2[tex]\pi[/tex]5.25

C=10.5[tex]\pi[/tex]

The Cedarburg High School softball coach is purchasing equipment for her team. She has a
budget of at most $590 to purchase bats and softballs. A case of softballs has a price of $42,
and a bat has a price of $15.
Select the inequality in standard form that describes this situation. Use the given numbers
and the following variables.
x= the number of cases of softballs
y = the number of bats
42x + 15y > 590
42x + 15y < 590
42x + 15y 3 590
42x + 15y 590

Answers

Answer:

B.42x + 15y < 590

Step-by-step explanation:

Find the linear function given h(4)=-13 h(-2)=17 find h(1)

Answers

Answer:

the linear function: y=-5x + 7

h(1)=2

I’m like really bad at math so can someone please help me pleaseee

Answers

Answer:

The biggest differentiating factor between a function and NOT a function

is that a function gives only one output for any given input. so no matter how many times you use the same value in the function, you will get the same output

A relation which is not a function will have 2 or more outputs for a single input

So if we have more than 1 similar input values in the table and given them different outputs, the relation will NOT be a function

I will take 2 similar inputs "1" and give them different outputs, the rest of the table can be randomly filled

x         y

1         4

3        7

5        9

1         2

helppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

20

Step-by-step explanation:

If you turn it into a rectangle, then you can see one side is 4 squares long, and the other is 5 squares long. 4 x 5= 20

What is the area, in square centimeters, of the shape below? Express your answer as a fraction in simplest form.

Answers

Answer: (2/5) x (3/2) x .5 = 3/10 or .3

Step-by-step explanation: Area of a triangle is (1/2)bh . You substitute your answers and simplify.

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