In a new lottery game, contestants pick 5 numbers (1-9 inclusive) and must guess exactly 3 correct in order to win. What’s the probability of winning this lottery?

Answers

Answer 1

Answer: 0.6%

Step-by-step explanation:

We have a selection of 5 numbers, in those selection we have 3 combinations of 3 consecuitve numbers (because the numbers must be in correct order).

The first 3

The 3 in the middle

the last 3.

So a contestant has 3 combinations were he wins.

Now, the number of possible combinations of the 9 numbers given is:

For the first number we have 9 options.

For the second number we have 8 options (because we already selected one)

For the last number we have 7 options (because we already selected 2 numbers)

Then the number of possible combinations is

10*9*8 = 504

The probabilty of winning will be equal to the number of combinations that the contestant has (3) divided by the total number of combinations, this is:

p = 3/504 = 0.006 or 0.006*100% = 0.6%


Related Questions

It is 85 miles from central city to smithville and 125 miles from smithville to jonesburg. How many gallons of gas will it take to drive from central city to smithville to jonesburg in a car which gets 30 miles per gallon?

Answers

It will take 7 gallons of gas to drive from Central City to Smithville to Jonesburg in a car that gets 30 miles per gallon.

To calculate the total amount of gas needed to drive from Central City to Smithville to Jonesburg, we need to add up the distances for each leg of the trip and then divide by the car's mileage per gallon.

Central City to Smithville: 85 miles

Smithville to Jonesburg: 125 miles

Total distance: 85 + 125 = 210 miles

Given the car gets 30 miles per gallon, divide total distance by mileage per gallon:

Total gallons of gas needed = 210 miles ÷ 30 MPG = 7 gallons

Therefore, it will take 7 gallons of gas to drive from Central City to Smithville to Jonesburg in a car that gets 30 miles per gallon.

!HELP 13,14 and 15 WILL MARK BRAINLIEST

Answers

Answer:

sin A  = 40/41

tan A = 40/9

cos A = 9/41

Step-by-step explanation:

sin theta = opp/ hyp

tan theta = opp/ adj

cos theta = adj/ hyp

We want to find the measures for angle A

sin A  = 40/41

tan A = 40/9

cos A = 9/41

Answer:

SinA = opposite/hypotenuse

SinA = 40/41

SinA = 0.976

(0.9756097561)

TanA = opposite/adjacent

TanA = 40/9

TanA = 4.444

(4.44444444)

CosA = adjacent/hypotenuse

CosA = 9/41

CosA = 0.220

(0.2195121951)

Which triangle is a translation of triangle X?

On a coordinate plane, triangle X is shifted 3 units down and 4 units to the left to form triangle B.
triangle A
triangle B
triangle C
triangle D

Answers

Final answer:

Triangle B is the translation of triangle X as it is moved 3 units down and 4 units to the left.

Explanation:

The question involves finding a triangle that is a translation of another triangle on a coordinate plane. A translation in geometric terms means moving a shape in the plane without rotating or resizing it.

According to the given information, triangle X is translated 3 units down and 4 units to the left to form triangle B.

Based on this information, triangle B is the translated figure of triangle X, and thus it is the correct answer.

A used car dealer sells SUVs and cars. Of all the vehicles, 90% are cars. Of all the vehicles 40% are red cars. What is the probability that a car chosen at random is red? Round your answer to the nearest tenth of a percent.

Answers

Answer:

44.4%

Step-by-step explanation:

To calculate this, we proceed as follows.

we use the probability equation below;

P(A|B) = P(A and B) / P(B)

Applying the above to the scenario at hand;

P(red | car) = P(red and car) / P(car)

P(red and car) = 40% or simply 40/100 = 0.4

P(car) = 90% = 90/100 = 0.9

P(red | car) = 0.4/0.9

P(red | car) = 0.4444 which is = 44.44% ; to the nearest tenth of a percent = 44.4%

Final answer:

To find the probability of a randomly chosen car being red, you divide the percentage of red cars by the percentage of all cars. The calculation results in 44.4%, which is the probability that a car is red.

Explanation:

To find the probability that a car chosen at random is red, we use the information provided: 90% of all vehicles are cars, and 40% of all vehicles are red cars. To determine the probability of a randomly selected car being red, we must calculate the percentage of red cars within the group of all cars.

This is done by dividing the percentage of red cars by the percentage of all cars, which gives us the probability that a car, given it's a car, is red.

The calculation is (40% / 90%) × 100, which simplifies to 44.4%. Rounded to the nearest tenth of a percent, the probability is 44.4%.

Compare the surface area of the composite figure to the surface area to the combined surface areas of the figures if they were separated. The composite surface area would be the surface area of the rectangular prism plus the surface area of the square pyramid considered separately. You should not count the pyramid’s as part of the composite figure’s surface area.

Answers

Answer:

Less then

Square base

Step-by-step explanation:

Did it on edu.

Answer:

the first one is less than and the second one is square bass

Step-by-step explanation:

Please help with this

Answers

Answer:

26 square feet (no floor)38 square feet (with floor)

Step-by-step explanation:

The triangular end of the tent has a base of 3 ft and a height of 2 ft. Its area can be found using the formula for the area of a triangle:

  A = (1/2)bh

  A = (1/2)(3 ft)(2 ft) = 3 ft^2

__

The rectangular side of the tent has a length of 4 ft and a width of 2.5 ft. Its area can be found using the formula for the area of a rectangle:

  A = lw

  A = (4 ft)(2.5 ft) = 10 ft^2

___

If we assume the tentmaker makes the two sides not shown exactly the same as these, then the total above-ground material will be ...

  2(3 ft^2 +10 ft^2) = 26 ft^2

If there is on-ground material (a floor), that rectangle adds (3 ft)(4 ft) = 12 ft^2 to the total.

The area of the tent above-ground is 26 square feet. With a floor, it is 38 square feet.

what is anouther way to write this number? 300 + 70 + 5/10 + 8/100.

Answers

Answer:

Yes, 370.58

Step-by-step explanation:

5/10= .5 and 8/100 = .08. Put all of them together and you have your answer. I hope this helps.

Answer:

370.58

Step-by-step explanation:

[tex]\frac{5}{10}[/tex]=[tex]\frac{1}{2}[/tex]=0.5

[tex]\frac{8}{100}[/tex]=0.08

300+70+0.5+0.08=370.58

answer this question (x −2)(x + 5) = 18

Answers

Answer:

x=-7     x=4

Step-by-step explanation:

(x −2)(x + 5) = 18

Foil

x^2 +5x-2x-10 = 18

Combine like terms

x^2 +3x -10 =18

Subtract 18 from each side

x^2 +3x -28 = 0

Factor

What two numbers multiply to -28 and add to 3:   7 and -4

(x+7) (x-4) =0

Using the zero product property

x+7=0    x-4 =0

x=-7     x=4

I NEED HELP NOW!!!! Please this is Due!!
Mr. Odtuhan is saving coins to purchase a basketball for the St. Elizabeth Panthers team.
He has 220 coins in dimes and quarters. The total value of the coins is $34.75. How many of
each coin does he have?

Answers

Answer:

85 quarters and 135 dimes

Step-by-step explanation:

its basically a guess and check

formula - 0.25q + 0.10d = $34.75

0.25 x 85 + 0.10 x 135 = 34.75

Faces A and C are squares.
A prism is made up of 4 rectangles and 2 squares.

What is the best name of the solid that can be formed by this net?
cube
cylinder
rectangular prism
square prism

Answers

Answer:

square prism

Step-by-step explanation:

it says Faces A and C are squares.

so...

The type of rectangular prism.

What is prism?

Prism is a three-dimensional solid object in which the two ends are identical.

As, the faces  B, C, D and E are in rectangle shape.

so, its side faces will be squared shape and remaining four faces will be rectangle shape.

Hence, the shape of solid is rectangular prism.

Learn more about prism here:

https://brainly.com/question/12649592

#SPJ2

The following table represents a sample of sale prices, in thousands of dollars, and number of
new homes available at that price in 2017
160/180 | 200 | 220 | 240 | 26 |
280
Sale Price, p
(in thousands of dollars)
Number of New Homes Available
fip)
126
103
82
751
40
20

Answers

Correct question

Sale Price :160 | 180 | 200 | 220 | 240 | 260 | 280

New home     : 126 | 103 | 82 | 75 | 82 | 40 | 20

A.) state the linear regression function that estimates the number of new homes available at a specific price.

B.) state the correlation Coefficient of the data, and explain what it means in the context of the problem

Answer:

Y = -0.79X + 249.86

R = -0.9543

Step-by-step explanation:

Sale Price :160 | 180 | 200 | 220 | 240 | 260 | 280

New home     : 126 | 103 | 82 | 75 | 82 | 40 | 20

Calculate the Linear regression equation :

Using the linear regression calculator :

The linear regression equation is :

Y = -0.79X + 249.86

The correlation Coefficient 'R' measures the strength of statistical relationship between the relative movement of two variables. The The value of R is -0.9543 in the question above.

This is a strong negative correlation, which means that high sales price of homes scores correlates with low number of new homes  scores (and vice versa). Homes with high sales price have fewer number of new homes.

The correct answer to the given table based on the linear regression is:

Y = -0.79X + 249.86R = -0.9543

What is Correlation Coefficient?

This refers to the number between -1 and +1 where the interdependence of two variables are shown.

Hence, based on the given table:

Sale Price :160 | 180 | 200 | 220 | 240 | 260 | 280

New home    : 126 | 103 | 82 | 75 | 82 | 40 | 20

To find the Linear regression equation :

Y = -0.79X + 249.86

R= -0.9543

Hence, we can see that the correlation coefficient "R" is used to show the statistical relationship between the two variables.

As a result of the strong negative correlation, then there would be higher prices for homes and lower number of new homes.

Read more about correlation coefficient here:

https://brainly.com/question/4219149

Find all of the solutions for the following equation. 2 sin q + 3 = sin q + 2

Answers

Answer:

q = 270 degrees + 360n  where n is an integer

Step-by-step explanation:

2 sin q + 3 = sin q + 2

Subtract sin q from each side

2 sin q - sin q + 3 = sin q + 2

sin q + 3 = 2

Subtract 3 from each side

sin q +3-3 = 2-3

sin q = -1

Take the inverse sin of each side

sin ^-1 (sin q) = sin^-1 (-1)

q = 270 degrees + 360n  where n is an integer

What’s the value of x?

Answers

Answer:

150 degrees

Step-by-step explanation:

Let's call the angle in the triangle next to the 78 A, the one next to the 132 B, and the one next to the x C. You know that the measure of angle A is 180-78=102 because they are linear pairs. Similarly, the measure of angle B is 180-132=48 degrees. Because all of the angles in a triangle must add up to 180 degrees, C must be 180-102-48=30 degrees. Finally, since x and C are linear pairs, x's angle measure must be 180-30=150 degrees. Hope this helps!

A family buys 6 tickets to a show. They also pay a $3 parking fee. They spend $27 to see the show

Answers

The cost of each ticket is $4.

How to find the price of each ticket?

Here we know that the family buys 6 tickets, and they also pay $3 for a parking fee.

The total amount that they spend is $27.

If we remove what the paid for the parking fee, we only will have the cost of the 6 tickets, then we have:

$27 - $3 = $24

Now, we divide this by the number of tickets bought:

$24/6 = $4

Each ticket costs $4.

If you want to learn more about quotients, you can read:

https://brainly.com/question/7068223

Kevin uses each of the digits 5, 7, 4 and 9, once and once only, to make
four-digit numbers.
c)
What is the largest number that he can make?
9754
What is the smallest even number that he can make?​

Answers

Answer: smallest 5794

Step-by-step explanation:

Answer:

5794

Step-by-step explanation:

5794 is the answer because...

Step one If we want to find the smallest even number we have to find out what the smallest number is first. So A trick I have learned is when you have the biggest number the smallest number is just the biggest number backwards. so if it was 9754 the smallest number is 4579.Step two since this is an odd number we have to make the last number of the smallest number even. To do so we have to take the smallest even number which is 4 and out it at the end. We also have to keep the number at it's smallest.Step 3 is to rewrite the Answer. Now we have four at the end our new number is 5794Hope this helped :)

i need help and i’m trying my best

Answers

Answer:

Minimum: 2

Quartile 1: 9

Quartile 2: 11

Quartile 3: 20

Maximum: 24

Step-by-step explanation:

(2,4,{9,10,11,14,20},23,24)

Answer:

Minimum: 2

Quartile 1: 9

Quartile 2: 11

Quartile 3: 20

Maximum: 24

Step-by-step explanation:

Stonks

Ariah has a hot air balloon. When full, the balloon is a sphere with a radius of 9 meters. She fills it with hot air whose density is 0.9 kilograms per cubic meter. Since this is less dense than the air in the atmosphere, the balloon is carried upwards.
How much air does Ariah need to fill the balloon?

Answers

2748.267 kilograms

Find the volume of the sphere which is 3053.63

Then multiply is by .9 to get that as the answer

rewrite the following without an exponent 4^-2

Answers

Answer:

1/16

Step-by-step explanation:

so basically you would do the opposite of the negative so then it would be 4^2 and then that is 4*4 so then u are gonna do 1 over 4*4 which is 1/16

An expression is defined as a set of numbers, variables, and mathematical operations. The expression 4⁻² without an exponent is written as 1/16.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression without an exponent can be written as,

4⁻²

= 1/(4²)

= 1/16

Hence, The given expression without an exponent can be written as 16.

Learn more about Expression:

https://brainly.com/question/13947055

#SPJ2

please help! very confused

Answers

Answer:

180°

Step-by-step explanation:

Straight line so has 180° angle.

Answer:  180 degrees

A straight line is what Euclid called two right angles.  That's 180 degrees.  Think of it as just a bit more than 179 degrees.

x squared plus 8 squared equals 9
What is X?

Answers

Answer:

x = [tex]i\sqrt{55} , -i\sqrt{55}[/tex]

Step-by-step explanation:

x^2 + 8^2 = 9

Simplify the 8^2

x^2 + 64 = 9

Subtract 64 from both sides

x^2 = -55

Take the square root from both sides

x = +/- [tex]\sqrt{-55}[/tex]

Simplify

x = [tex]i\sqrt{55} , -i\sqrt{55}[/tex]

Hope this helps!

Is v=5 a solution of the equation 4 + v=1

Answers

Answer:

No it isnt a solution

Step-by-step explanation: 4+5 doesnt =1 therefore it doesnt work

Answer:

no

Step-by-step explanation:

4+v = 1

Substitute the value in and see if the equation is true

4+5 = 1

9 =1

This is not true so 5 is not a solution

F(x)
Can someone explain how to do F(x) problems​

Answers

Answer:

X | F(x)

-4 | -3

-2 | -1

0 | 1

2 | 3

4 | 5

Step-by-step explanation:

F(x) problems or function problems are input/output questions. You put the X value in for X in F(x) to get an output. In this question a graph is used. In this case the question gives a table, so you can simply find the inputs and outputs based on a pattern.

In the X-values or the input values: -4, -2, 0

You can keep going by two: 2, 4

In the F(x) values or output values: 1, 3, 5

You can't count backwards by two to get: -1, -3

What is the measure of angle 3?

Answers

68 degrees the reasoning would be because of corresponding angles

I hope this helps!

Please help me idk this

Answers

Answer:

65 square inches.

Step-by-step explanation:

To solve for this irregular figure, you must break it into separate rectangles.

Firstly, we can solve for the area of the top rectangle by:

6×4= 24 sq in.

For the next rectangle, we can do:

4×8= 32 sq in.

Finally, the remaining square can be solved by:

3×3= 9 sq in.

To get the ENTIRE area, you will need to add these areas up which gets you:

24+ 32+ 9= 65 sq in.

What is the value of the expression -9(2.2)?

Answers

Answer:

-19.8

Step-by-step explanation:

I did -9×2.2 on my calculator

which is greater 2/3 5/10 7/8 or 1/2 ?

Answers

2/3 is equal to 0.66667
5/10 is equal to .5
7/8 is equal to .875
1/2 is equal to .5

So the answer would be 7/8 is greater

Answer:

Step-by-step explanation:

hello  :

2/3 =(2×8)/(3 ×8) = 16/24

5/10 = 1/2= (1×12)/(2 ×12)=12/24

7/8= (7×3)/(8 ×3)= 21/24

the greater is : 7/8

What is the value of arc x if the
central angle is 140°?
140

Answers

Answer:

it'll just be 140º

Step-by-step explanation:

because the central angle and the arc value are both congruent

mary ran 1 3/5 miles on monday and ran 7 1/5 miles on tuesday. how many times her monday’s distance was her tuesdays distance?

Answers

Answer:

4.5

Step-by-step explanation:

7 1/5 = 7.2 and 1 3/5= 1.6

so, 7.2/1.6= 4.5

the coordinates of triangle DEF is D: (-2,3) E: ( -3,0) F: (1, -2)
Triangle DEF is reflected across the x-axis. Which vertex stays the same.

Answers

The X vertices stay the same, the Y vertices are multiplied by -1

Write the coordinates of one point that lies in the
second quadrant of the coordinate plane?

Answers

(3,5) is a point that lies in the second quadrant, along with any two positive points

Answer:

Any coordinates with a negative value for x and positive one for y will fit this description. For example, (-1, 1).

Step-by-step explanation:

Other Questions
Can you guys create your own system of equations word problem, define the variable, write an equation, then solve it and make a sentence explanation on why you did what you chose Thanks will give brainliest 1. A number cube is rolled 24 times and lands on 2 four times and on 6 three times. a. Find the experimental probability of landing on a 2. b. Find the experimental probability of not landing on a 6. c. Compare the experimental probability you found in part a to its theoretical probability. d. Compare the experimental probability you found in part b to its theoretical probability. How do you show work? What is the area of the parallelograms?what is the square unit ? A certain vehicle emission inspection station advertises that the wait time for customers is less than 8 minutes. A local resident wants to test this claim and collects a random sample of 64 wait times for customers at the testing station. She finds that the sample mean is 7.43 minutes, with a standard deviation of 3.6 minutes. Does the sample evidence support the inspection station's claim? Use the alphaequals0.005 level of significance to test the advertised claim that the wait time is less than 8 minutes. a. If 42.5 g of CH3OH reacts with 22.8 L of O2 at 27C and a pressure of 2.00 atm, calculate the number of grams of water vapor and the volume of water vapor that would be formed at the same temperature and pressure. Which statement is not true about the minimum wage? Question 4 options: A. Not everyone supports it. B. It is the lowest legal wage that can be paid to most workers. C. Owners are not required to pay it to foreign workers. D. It was created by a federal law. why does the federal reserve alter monetary policy? Read the following excerpt from The Monkeys Paw. The representative from Maw and Meggins is speaking. The firm wished me to convey their sincere sympathy with you in your great loss, he said, without looking round. I beg that you will understand I am only their servant and merely obeying orders. What conclusions can you draw about the representative? He is feels terrible for their loss. He feels responsible for their sons death. He wants to be sure the Whites dont blame him for their sons misfortune. He feels the company is responsible for their sons death. Please answer quick plsThe effect of a black hole all paths lead back to the center of it is known as what? a- spaghettification B-Eclipse C-Singularity D-Section What is the area of parallelogram ABCD? ..O 16 square unitsO 20 square unitsO 24 square unitsO 25 square units A new technique for extracting oil and gascalled "fracking"spurred an economic boom in the formerly sleepy town of Oilville, located in what had been thought to be a depleted oil field. Workers swarmed into the town, and Karen started a laundry service to meet their needs. In this case, Karen had spotted an entrepreneurial opportunity created by the new extraction technique, or a ___________________, which in turn created an oil boom, or a(n) __________________. X^2 +9x-90=0 Answers? what is the distance between (-4,8) and (12,8) on a coordinate plane? Jan hires Duncan to act as her agent in acquiring some property for the development of a new subdivision she is planning that will be an elegant planned community. Jan instructs Duncan that he is not to say he is working for her or, for that matter, that he is working for anyone. If Duncan enters into a contract for land for Jan that is the parcel she wanted If y varies directly as x and y = 15 when x = 5,what is the value of y when x = 6? a. 5 b. 36 c. 9 d. 18never mind its D PART B: Which detail from the text best supports the answer to Part A?A.For one thing, political preferences aren't just reasoned opinions; they're often markers of personal and cultural identity with strong emotional resonance. ( Paragraph 5)B.Under the right conditions, many people fail to recognize that a choice they made previously has been swapped with an alternative. ( Paragraph 7)C.In other words, people were less critical of the very same arguments when they produced them themselves than when they were later presented as coming from another person. ( Paragraph 12)D.The authors of the study take them as evidence for a theory according to which human reasoning is principally geared towards effective argumentation rather than knowledge-seeking. ( Paragraph 13) Please show all of your work! :) A student is working on a project on the history of computers. Where should he search for information to include in his report?(This is a question from the Physical Science Readiness Assessment 2 in K12)A.In a computer database listing the greatest inventions between 1800 and 1900.B.In an encyclopedia listing articles beginning with the letter CC.In a CD-ROM instructing users how to install software on a computer.D.In a catalog advertising the latest computers and laptops. Find the value of z. You randomly draw a lane number for a 100-meter race. Then your friend randomly draws aLane number for the same race. Are these events independent or dependent?* Steam Workshop Downloader