To play the lottery in a certain state, a person has to correctly select 5 out of 45 numbers, paying a $1 for each five-number selection. What is the probability that a person with one combination of the five numbers will win?
What is the probability of winning if 100 different lottery tickets are purchased?

Answers

Answer 1

There are 45 numbers out of which 5 numbers are required to win an enormous sum of money

No of ways  in which 5 numbers can be selected out of 45 numbers.

[tex]C_{45}^5=\frac{45!}{40!5!} =1221759[/tex]

out of which there is only combination foe contest winning

[tex]P=\frac{1}{1221759}[/tex]

When 100 different tickets are bought then

Probability of winning: [tex]\frac{100}{1221759}[/tex]

Probably of winning≈0,000082

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P.S. Hello from Russia :^)


Related Questions

when Quinn got home he turned the air conditioner on. T represents the temperature in Quinn's home (in degrees celsius) after t minutes. T=42-0.7t how fast did the temperature drop ??​

Answers

Answer:

0.7 per minute

Step-by-step explanation:

0.7 in the equation represents how much the tempeture was dropping per minute.

Answer:

Step-by-step explanation:

T=42-0.7T

T=42-0.7(0)

T=42-0

T=42

What is the median of the following numbers

Answers

Answer: You did not give me any numbers...

Step-by-step explanation:

just to say, The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half. In simple terms, it may be thought of as the "middle" value of a data set.

The median of a set of numbers is the middle number in the set (after the numbers have been arranged from least to greatest) or, if there are an even number of data, the median is the average of the middle two numbers.

Find the surface area of a sphere with radius of 1.5 and slant height of 6.​

Answers

Answer:

about 28.27

Step-by-step explanation:

A=4πr2

The Swaying Palms Hotel has 200 rooms. The graph shows the average number of
rooms occupied during each month of the year. During which month does the hotel
have the most empty rooms?

Answers

You need to add a picture of the graph

Answer:

Februay

Step-by-step explanation:

3/5 * (t + 26) = −3(2 − t)

t =

Answers

Answer:

t=9

Step-by-step explanation:

Which is a right triangle formed using a diagonal through the interior of the cube?




Answers

Answer:

ΔABE is correct because it is a right triangle through a diagonal

Step-by-step explanation:

Answer: A

Step-by-step explanation:

What is the least common multiple (LCM) of 7 and 9?

Answers

Answer:

63

Step-by-step explanation:

7*9=63

9*7-63

Answer:

63

Step-by-step explanation:

7 and 9 multiply to 63 at the least

Which sequence are geometric?

Answers

Answer:

The second one

The third one.

The last one.

Step-by-step explanation:

Hope this helps!

A museum groundskeeper is creating a semicircular statuary garden with a diameter of 23 feet. There will

be a fence around the garden. The fencing costs $7.50 per linear foot. About how much will the fencing

cost altogether? Round to the nearest hundredth. Use 3.14 for pi

Answers

Answer: $443.32

Step-by-step explanation:

Hi, to answer this question we have to calculate perimeter of a semicircle:

P = π (d/2) + d

Where d is the diameter

Replacing with the values given:

P = 3.14 (23/2) + 23 = 59.11 feet  

Since each linear foot cost $7.50, we have to multiply that cost by the perimeter.

59.11 x 7.50 = $443.32

Feel free to ask for more if needed or if you did not understand something.

Can anybody help? Exponential Functions

Answers

................................................................................................

Does the graph of y=x2+4x−1 open upward or downward? upward downward

Answers

Answer:

Upward

Step-by-step explanation:

The first term is positive meaning it will open upward

Answer: The answer is A: Upward.

Step-by-step explanation: When the first term is positive, the graph open upward.

Select all that are measures of angles that are coterminal with a –50° angle. –770° –530° –410° 50° 310° 360° 410° 670°

Answers

Answer:

-770, -410, 310, 670

Step-by-step explanation:

-50 + 360 = 310

310 + 360 = 670

-50 - 360 = -410

-410 - 360 = -770

For the angle -50°, from the given options, the coterminal angles are: -770°,-410°, 310° and 670°.

Coterminal Angles

This classification represents angles that do not present the same value, but they present vertices and sides are identical. Also, if the angles are coterminal, then their sines, cosines and tangents are equal.

A coterminal angle can be found from the formula β = α ± 360 * w, where w is a positive integer.

You should replace w for integers numbers ≥ 1. Hence,

For w=1 and α=-50°

        β = -50± 360 * 1

         β = -50± 360

      Then, β can be -50+360=310° or -50-360= -410°

For w=2 and α=-50°

        β = -50± 360 * 2

         β = -50± 720

      Then, β can be -50+720=670° or -50-720= -770°

For w=3 and α=-50°

        β = -50± 360 * 3

         β = -50± 1080

      Then, β can be -50+1080=1030° or -50-1080= -1130°

Read more about the coterminal angles here:

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Whole numbers between 10.99 and 13.99

Answers

Whole numbers between those two would be 11, 12, and 13.

Answer:

11, 12 & 13

Step-by-step explanation:

Whole numbers between 10.99 and 13.99 are 11, 12 & 13

What type of lines are layered directly on top of each other?

Answers

Parallel lines
Explanation:

Ten cards numbered 1 through 10 are mixed together and then one card is drawn. Find the probability of each event. Write the answer in percent.
P(greater than 3)=
P(not 5, 6,7,or 8)=

Answers

Answer

probability of greater than 3 is 60%

not 5,6,7 or 8 is 60%

Answer:7/10

Step-by-step explanation: multiple of 4 is: 1,2,4. So that's 3 number which would leave you with 7 more which is 70% and 7/10 as a fraction

Can someone help me do this thank you​

Answers

Answer:

d = 15

Step-by-step explanation:

6+15 = 21

Given that the measurement is in centimeters, find the circumference of the circle to the nearest tenth. (Use 3.14 for π)
A) 15.7 cm
B) 31.4 cm
C) 62.8 cm
D) 78.5 cm

Answers

Answer:

Step-by-step explanation:

The formula for the circumference of a circle of radius r is C = 2πr.  That for a circle of diameter d is C = πd.  

If we assume that the measurements below are of radius, not diameter, then in A, 15.7 cm = 2(3.14)(r), so that r must be 2.5 cm.

Please be sure to share ALL of the instructions for each problem.

Circumference of the circle is 31.4 cm

Given that;

Value of π = 3.14

Assume;

Radius of circle = 5 cm (Approx.)

Computation:

Circumference of the circle = 2πr

Circumference of the circle = 2(3.14)(5)

Circumference of the circle = (10)(3.14)

Circumference of the circle = 31.4 cm

So, option "B" is the correct answer to the following question.

Learn more:

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Simplify:
X(3.8 - 2.6) +3+3.2 (x + 2)

Answers

Answer:

4.4x+9.4

Step-by-step explanation:

x(3.8)-x(2.6)+3+3.2(x)+3.2(2)

3.8x-2.6x+3+3.2x+6.4

Combine all of x's with the blanks

4.4x+9.4

I NEED HELP! (Tap on picture!)

Answers

The probability of selecting a card with odd number
The answer must be E and C anything else would be wrong.

need help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

2

Step-by-step explanation:

a=4 so plug 4 in for a 4+(-b) now we know b=2 but it has to in for b so we would get 4+(-2) now solve 4+-2 or if you think about 4-2 is easier it's going to be 2.

On her MP3 player, Stephanie has 36 songs shorter than three minutes and 72 songs longer than three minutes. What is the probabilty the next song will be longer than three minutes?

Answers

Step-by-step explanation:

Total songs = 36 + 72 = 108

[tex]required \: probability = \frac{72}{108} \\ \hspace{100 pt} = \frac{2}{3} \\ [/tex]

Hence, probabilty that next song will be longer than three minutes is [tex] \frac{2}{3}[/tex]

Final answer:

The probability  that the next song will be longer than three minutes is 2/3 or 66.67%.

Explanation:

The question concerns calculating the probability of selecting a song longer than three minutes from Stephanie's MP3 player. Stephanie has 36 songs shorter than three minutes and 72 songs longer than three minutes.

To find the probability that the next song will be longer than three minutes, we add the total number of short and long songs to get the total number of songs. The total is 36 + 72 = 108 songs. Since probability is the number of favorable outcomes divided by the total number of outcomes, the probability of selecting a song longer than three minutes is 72 (favorable outcomes) divided by 108 (total outcomes).

This calculation gives us 2/3 or approximately 0.6667, meaning there is a 66.67% chance the next song will be longer than three minutes.

Rylee shopped at a clothing store, where she spent $36.50 plus 8% tax. Then, she spent $25 to refuel her car at the gas station. Finally, she bought groceries worth $23.50. At the grocery checkout, she handed over a coupon for a 20% discount on her purchase.

Complete the following steps to help Rylee find the net change to her banking account balance.

Answers

Answer: The net change to her banking account balance is $83.22.

Step-by-step explanation:

Hi to answer this question we have to analyze the information given:

She spent $36.50 plus 8% tax.  ( to calculate the tax amount we have to multiply the cost by the percentage in decimal form)

36.50 x (8/100) =$2.92 (value of tax)

Adding to the original cost

36.50+2.92 = $39.42

Then, she spent $25 to refuel her car at the gas station.

39.42 +25 = $64.42

She bought groceries worth $23.50. At the grocery checkout, she handed over a coupon for a 20% discount on her purchase

23.50 x (20/100) = 4.7 (amount of discount)

Subtracting to the purchase

23.50 -4.7= $18.8

Finally, adding to the total cost.

64.42 +18.8 = $83.22

Final answer:

To find the net change in Rylee's banking account balance, calculate the tax on her clothing purchase, add the fuel cost, and then subtract the grocery discount from the grocery purchase before summing all costs to get a total of $83.22.

Explanation:

The problem of calculating the net change to Rylee's banking account balance is a typical Mathematics problem involving percentages and addition. This is commonly tackled at the High School level. To solve it, we will need to calculate the total cost of each of Rylee's expenditures, including the application of tax and discounts where applicable.

Start by calculating the tax on the clothing store purchase: $36.50 * 8% = $2.92.Add the tax to the original amount to get the total clothing cost: $36.50 + $2.92 = $39.42.Add the fuel cost directly as there is no tax mentioned: $39.42 + $25 = $64.42.Calculate the discount on groceries: $23.50 * 20% = $4.70.Subtract the discount from the grocery total to find the final cost: $23.50 - $4.70 = $18.80.Add the discounted grocery cost to the previous total: $64.42 + $18.80 = $83.22.

The net change to Rylee's banking account balance after all her purchases is $83.22.

Rusty’s favorite meal consists of a corn dog, tater wedges, and a fudge sickle. Rusty has decided to order a corn dog and to choose his side and dessert randomly. What is the probability that Rusty will not end up with his favorite meal?

A. 1/80
B. 1/16
C. 15/16
D. 79/80

Answers

Answer:

Option C.

Step-by-step explanation:

It is given that Rusty’s favorite meal consists of a corn dog, tater wedges, and a fudgesicle.

Rusty has decided to order a corn dog and to choose his side and dessert randomly.

We need to find the probability that Rusty will not end up with his favorite meal.

Total number of sides = 4

Total number of desserts = 4

Total possibilities = 4 × 4 = 16

Possible ways of selecting tater wedges and a fudge sickle = 1

Probability that Rusty will end up with his favorite meal is

[tex]P=\dfrac{1}{16}[/tex]

Probability that Rusty will not end up with his favorite meal is

[tex]P'=1-P=1-\dfrac{1}{16}=\dfrac{15}{16}[/tex]

Hence, the correct option is C.

The Johnson family is moving and they need a truck with at least 55 cubic meters of space. The moving trucks they have to choose from are shown in the table below. Which is the smallest truck they can use?
PLEASE I WILL MARK AS BRAINLIEST!

Answers

Answer:

Medium

Step-by-step explanation:

Cause that what it is.

So what you have to do is find the area of each truck and find the one that is only a little bit higher than 55 or exactly 55. In this case, that should be the large truck, because the medium truck is too small (approx. 40 cubic meters)

You go to the store and find some books that are 35% off regular price. If a book costs $20, what would you pay?

Answers

Answer: 13 dollars

Step-by-step explanation:

Answer:

13 dollars.

Step-by-step explanation:

Hope this helps!

Multiply 20 dollars by 0.65.

What is the length of Line segment B C? Round to the nearest tenth.

Triangle A B C is shown. Angle B C A is a right angle and angle C A B is 65 degrees. The length of hypotenuse B A is 16 centimeters and the length of B C is x.

6.8 cm
7.5 cm
14.5 cm
17.7

Answers

The length of segment B C is 6.8cm

Answer:

14.5

Step-by-step explanation:

since the hypotenuse is 16 you multiply that by (sin(65)) and 14.5 is the answer.

What type of object is pictured below?

Answers

Answer:

ray

Step-by-step explanation:

Answer:

C, a ray

Step-by-step explanation

The area of a square garden is 36 square feet. What is the side length of the garden

Answers

Answer:

6

Step-by-step explanation:

because 6 times 6 =36 so the answer is 6

Answer:

6 ft

Step-by-step explanation:

We know that side * side equals area, and that squares have all sides the same length. So therefore, A = [tex]s^{2}[/tex].

If we know the area, then we can do [tex]\sqrt{36}[/tex] which equals 6

The degree for 6g²h³k?

Answers

Answer:

the degree for this monomial is 7

Step-by-step explanation:

g^2 = 2

h^3= 3

k = 1

add the exponents- 2+3+1= 7

What is the equation of the line through the points (-3, 4) and (5, 4)?

Answers

Answer:

The correct equation (in slope intercept form) is [tex]y=-4x+8[/tex]

       

The equation of the line through the points (-3, 4) and (5, 4) is y=4.

What is the equation of a line?

The standard form of the line is;

[tex]\rm y=mx+c[/tex]

The slope of the line is;

[tex]\rm m=\dfrac{x_2-x_1}{y_2-y_2}\\\\m =\dfrac{5-(-3)}{4-4}\\\\m =\dfrac{8}{0}\\\\m=0[/tex]

The equation of the line through the points (-3, 4) and (5, 4) is;

[tex]\rm y-y_1=m(x-x_1)\\\\y-4=0(x-(-3))\\\\y-4=0\\\\y=4[/tex]

Hence, the equation of the line through the points (-3, 4) and (5, 4) is y=4.

Learn more about the equation of line here;

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