As of this writing, the powerball lottery is run in 42 states. winning the jackpot requires that you select the correct five numbers between 1 and 59 and, in a separate drawing, you must also select the correct single number between 1 and 39. find the probability of winning the jackpot. 34.

Answers

Answer 1

Final answer:

The probability of winning the Powerball jackpot is 1 in 292,201,338.

Explanation:

To find the probability of winning the Powerball jackpot, we need to calculate the probability of selecting the correct five numbers between 1 and 59 and the correct single number between 1 and 39.

The probability for each part is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

For the five numbers, there are 59 possible choices and we need to select 5, so the probability is 1/59 × 1/58 × 1/57 × 1/56 × 1/55.

For the single number, there are 39 possible choices, so the probability is 1/39.

To find the overall probability, we multiply the probabilities of both parts together: (1/59 × 1/58 × 1/57 × 1/56 × 1/55) × (1/39) = 1/292,201,338.


Related Questions

Theoretically, what would happen if a nation had an unlimited supply of a certain resource?

Answers

There are several ways this could go, this is my theory. This would be very dangerous because if one Nation had an unlimited supply of a certain resource, other Nations would possibly go to war. Also, the Nation would have trouble controlling its citizens, immigration, and power. 

Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. Round to three decimal places. n = 4, x = 3, p =

Answers

Final answer:

To find the probability of x successes in a binomial distribution, use the binomial probability formula. Substituting the given values into the formula will yield the probability.

Explanation:

To find the probability of x successes in a binomial distribution with n trials and probability of success p, we use the binomial probability formula. The formula is:

P(x) = (nCx) * p^x * (1-p)^(n-x)

Using the given values n = 4, x = 3, and p = ..., we can substitute these values into the formula to calculate the probability.

For example, if p = 0.5, the probability is:

P(3) = (4C3) * 0.5^3 * (1-0.5)^(4-3) = 4 * 0.125 * 0.5 = 0.25

In general, the air temperature decreases 12 degrees for every 4,000 feet increase in altitude. If a hiker climbs 3,000 feet by how much can she expect the temperature to decrease?

Answers


 3,000, 4,000 = 3/4 
3/4 * 12 = 36/ 4. = 9 degrees 

Which of the following sets of points is a direct variation?

(0, 0); (2, 4); (5, 15)
(0, 0); (-1, -2); (1, 2)
(3, 6); (-2, 4); (-1, 2)
(0, 5); (1, 6); (2, 7)

Answers

I got the second one. Good Luck. Hope it helped.

Answer:

(0, 0); (-1, -2); (1, 2) and (0, 5); (1, 6); (2, 7).

Step-by-step explanation:

The set will have a direct variation if each pair is added or subtracted by a common number in each component. You also can see it graphically, if the points form a straight growing line then the set is a direct variation. Then,

In the first set we have

(0,0), (0+2,0+4), (0+2+3, 0+4+11). The behavior is not uniform, then it is not a direct variation.

Second set: (-1, -2); (0,0); (1, 2)

(-1,-2)(-1+1,-2+2), (-1+1+1, -2+2+2). The behavior is uniform and it is increasing, then it is a direct variaton.

Third set:

(-2, 4), (-2+1,4-2), (-2+1+4, 4-2+4). The behavior is not uniform, then it is not a direct variation.

Fourth set:

(0,5), (0+1, 5+1), (0+1+1, 5+1+1). The behavior is uniform and it is increasing, then it is a direct variaton.

Trevor had 4 small boxes of raisins to share equally among himself and 2 friends.



How many boxes of raisins would each person receive?



A.




B.




C.




D.


Answers

Divide:   4 boxes / 3 persons = (4/3) box per person.

Which number is a prime number??

111
121
131
141

Answers

The prime number you are looking for is 141

Final answer:

Among the given options, the number 131 is a prime number, as it only has two divisors: 1 and itself.

Explanation:

The student has asked to identify which number among the given options is a prime number. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. Analyzing the given options:

111 is divisible by 3.

121 is divisible by 11 (11 x 11).

131 is a prime number because it has no divisors other than 1 and itself.

141 is divisible by 3.

Therefore, the correct answer is 131, which is a prime number.

which equation is not true for the solution x = -8

Answers

-3 1/4 ≠ 1/3x-2 3/4 

Explanation: I tried all the other answers and the results match the expression, however, when I plug in -8 into this equation, the results are not equivalent.

show the zero property of multiplication using the number 25

Answers

Anything divided by 0 is 0 for example 25x0=0 12020202020x0=0

thirty-eight and ninety-seven hundredths kilograms in standard form

Answers

Standard form - Regular typing and writing with numbers

so it's 38.97 kg

Answer:

The answer is 38.97 kilograms.

Step-by-step explanation:

Thirty-eight and ninety-seven hundredths kilograms in standard form is 38.97 kilograms.

Thirty eight is simply 38.

And ninety-seven hundredths means that 97 is written after decimal. This is because when there exists an 'and' in a mathematical number, this means there is a decimal.

So, the answer is 38.97 kilograms.

If 5+6i is a root of the polynomial function f(x),which of the following must also be a root of f(x)

Answers

The complex conjugate root theorem states that if a+bi (with a and b being numbers) is a root, then a-bi is also a root. Plugging that in here, this means that 5-6i is also a root

Answer:

5 - 6i must also be a root of f(x)

Step-by-step explanation:

Complex conjugates states that the two complex numbers are conjugates of each other if they have the same real part and their imaginary parts are negatives of each other i.e, the complex conjugate of a + bi is a - bi where i is  imaginary.

Conjugate root theorem states that if the complex number a + bi is a root of a polynomial P(x) in one variable with real coefficients, then the complex conjugate a-bi is also a root of that polynomial.

Given: if 5+ 6i is a root of the polynomial function f(x).

then,

by the conjugate root theorem;

5 - 6i is also be a root of the polynomial f(x).


A film shop carrying black and white film and color film has $4000 in inventory the profit on black and white film is 12% and the profit on color film is 21% if all the film is sold and if the profit on color film is $150 less than the profit on blavk and white film how much was invested in each type of film

Answers

He invested $3000 in black and white film
He invested $1000 in color film
Final answer:

To solve this problem, set up a system of linear equations based on the total investment and profit conditions given. Solve for the variables representing investment amounts in black and white film and color film. This process demonstrates practical application of algebra in finance.

Explanation:

Let's find how much was invested in black and white film and color film at a film shop with a total inventory of $4000, knowing that the profit on black and white film is 12%, the profit on color film is 21%, and the profit on color film is $150 less than the profit on black and white film.


Let x represent the amount invested in black and white film, and y represent the amount invested in color film. According to the problem, we have two equations:

x + y = 4000 (Equation 1: the total investment)0.12x = 0.21y + 150 (Equation 2: the profit condition)


First, rearrange Equation 2 to isolate y: 0.12x - 150 = 0.21y. Then, convert it to y = (0.12/0.21)x - (150/0.21).


Next, substitute the value of y from Equation 2 into Equation 1: x + ((0.12/0.21)x - (150/0.21)) = 4000. Solve this equation for x to find the amount invested in black and white film, then substitute x back into either equation to find y, the amount invested in color film.


This problem involves forming and solving a system of linear equations based on the given profit percentages and the condition that profit on color film is $150 less than the profit on black and white film, demonstrating application of algebra in financial contexts.

record the product. use expanded form to help. 5×162=

Answers

5x2x9x9

10x81

810 is your answer

Divide (8.6 x 108) by (3.2 x 103). Express your answer in scientific notation.

Answers

In doing this division, we will first divide the 8.6 by the 3.2 to get 2.6875.  Thankfully, that number is already in scientific notation so we don't have to worry about changing it.  Now for the rest of the problem.  When the bases are the same, and they are both 10's, you subtract the exponents.  [tex]10^{8-3}[/tex]   gives us 10^5.  The answer then in scientific notation is [tex]2.6875*10^5[/tex].

rewrite the following fractions as division problems 7/11 5/2 9/10 7/15

Answers

7 divided by 11
5 divided by 2
9 divided by 10
7 divided by 15
i hoped helped *3*
Answer with explanation:

We are given some fractions and we need to write these fractions in terms of division problem.

a)

                  7/11

There are 7 chocolates and a total of 11 children present at a party.If the chocolates are to be distributed equally among all, then how many chocolates does each get?

b)

                    5/2

The distance traveled by Xavier is 5 km and the time taken by him is 2 hours.Then find his speed?

c)

                     9/10

If there are a total of 19 students in a class and the number of girls are 1 more than the number of boys then find the ratio of number of boys to number of girls?

d)

                     7/15

The are 7 red balls, 2 green balls and 6 yellow balls in a bag.One ball is drawn at random.What is the probability of getting a red ball?

What is 1/7^9 × 1/7^-6

Answers

[tex]\bf \cfrac{1}{7^9}\cdot \cfrac{1}{7^{-6}}\implies \cfrac{1\cdot 1}{7^9\cdot 7^{-6}}\implies \cfrac{1}{7^{9-6}}\implies \cfrac{1}{7^3}\implies \cfrac{1}{343}[/tex]

(b) how many measurements must be averaged to get a margin of error of ±0.0001 with 98% confidence? (round your answer up to the nearest whole number.)

Answers

Given that the scale readings of the laboratory scale is normally distributed with an unknown mean and a standard deviation of 0.0002 grams.

Part A:

If the weight is weighted 5 times and the mean weight is 10.0023 grams, the 98% confidence interval for μ, the true mean of the scale readings is given by:

[tex]98\% \ C. \ I.=\bar{x}\pm z_{\alpha/2}\left(\frac{\sigma}{\sqrt{n}}\right) \\ \\ =10.0023\pm2.33\left(\frac{0.0002}{\sqrt{5}}\right) \\ \\ =10.0023\pm2.33(0.000089) \\ \\ =10.0023\pm0.00021 \\ \\ =(10.0023-0.00021, \ 10.0023+0.00021) \\ \\ =(10.0021, \ 10.0025)[/tex]

Thus, we are 98% confidence that the true mean of the scale readings is between 10.0021 and 10.0025.



Part B:

To get a margin of error of +/- 0.0001 with a 98% confidence, then

[tex]\pm z_{\alpha/2}\left(\frac{\sigma}{\sqrt{n}}\right)=\pm0.0001 \\ \\ \Rightarrow2.33\left(\frac{0.0002}{\sqrt{n}}\right)=0.0001 \\ \\ \Rightarrow\left(\frac{0.0002}{\sqrt{n}}\right)= \frac{0.0001}{2.33} =0.0000429 \\ \\ \Rightarrow\sqrt{n}= \frac{0.0002}{0.0000429} =4.66 \\ \\ \Rightarrow n=4.66^2=21.7156\approx22[/tex]

Therefore, the number of measurements that must be averaged to get a margin of error of ±0.0001 with 98% confidence is 22.
Final answer:

To find the number of measurements that must be averaged to get a margin of error of ±0.0001 with 98% confidence, you can use the formula for the margin of error.

Explanation:

To find the number of measurements that must be averaged to get a margin of error of ±0.0001 with 98% confidence, we can use the formula for the margin of error:

Margin of Error = Z * (Standard Deviation / √(Sample Size))

Given that we want a margin of error of ±0.0001 and a confidence level of 98%, we can find the corresponding Z-value using a standard normal distribution table.

Once we have the Z-value, we can rearrange the formula to solve for the sample size, which represents the number of measurements that must be averaged.

Learn more about Margin of Error here:

https://brainly.com/question/32678356

#SPJ11

A movie rental gives a free popcorn to every 15th customer and a free movie rental to every 4th customer. Which customer was the first to win both prizes?

Answers

The 60th customer will win both prizes. 
In both cases, start with 0.  

Every 15th customer includes #15, #30, #45, #60, etc.

Every 4th customer includes #4, #8, #12, #16, #20, #24, #28, #32, #36, #40, #44, #48, #52, #56, #60

#60 is the first customer to win both prizes.

jillian bought 1/2 pound of turkey and 1 1/3 pound of cheddar cheese at the deli. both items are on sale for $6 per pound. how much does each turkey cost>

Answers

To calculate the cost of the turkey, multiply the weight of the turkey (1/2 pound) by the cost per pound ($6). The total cost for the turkey is $3.

Jillian bought 1/2 pound of turkey and 1 1/3 pounds of cheddar cheese at the deli, with both items on sale for $6 per pound. To find out how much the turkey costs, you need to multiply the weight of the turkey by the cost per pound. Here's how you do it:

Determine the weight of the turkey: 1/2 pound.Multiply the weight of the turkey by the cost per pound: (1/2 pound) x ($6/pound).Calculate the cost: 1/2 x 6 = $3.

Therefore, the cost of the turkey is $3.

Use substitution to determine which of the following points is a solution to the standard form equation below. 2y = 5

Answers

2.5=y is the answer to the problem and if its wrong you didn't show me the answers 

If one side of a square notebook measures 20 cm, what is the area of the front cover of the notebook?

Answers

Salutations!

We know tat square has equal sides, so we will just multiply 20 twice as in [tex]S*S[/tex] or [tex]S^2[/tex]. Both of them are equal.

Area of the front cover of the notebook = [tex]s^2[/tex]

                                                              = [tex]20*20[/tex]

                                                               = [tex]400cm^2[/tex]

Hope I helped (:

have a great day!

Need help on question 30 please

Answers

check the picture below.

make sure your calculator is in Degree mode.

Imagine two lines intersect. How can the properties of linear pairs and vertical angles help to determine the angle measures created by the intersecting lines? Explain.

Answers

If you know the measure of one angle in a linear pair, you can find the measure of the other because the sum of the measure of the two angles is 180 degrees. If you know the measure of one angle in a pair of vertical angles, you can find the measure of the other because they are congruent.

Final answer:

Properties of vertical angles and linear pairs allow us to find unknown angles when two lines intersect by employing the facts that vertical angles are equal and linear pairs sum up to 180 degrees.

Explanation:

When two lines intersect, they form two pairs of vertical angles and two pairs of linear pairs. Vertical angles are opposite angles made by intersecting lines and are always equal. So, if one of the vertical angles is known, the opposite angle can be determined because it is congruent. Linear pairs are adjacent angles whose outer arms form a straight line. These linear pairs are supplementary, meaning their sum is 180 degrees. Therefore, if we know one angle of a linear pair, we can find the other by subtracting the known angle from 180 degrees. Understanding these properties allows us to solve for unknown angle measures around the intersection of two lines. For example, if one angle measure in a linear pair is given, we can find the measure of the adjacent angle. Knowing the measure of this adjacent angle, which is also a vertical angle, allows us to determine the measure of the angle vertical to it, as they are equal.

One card is drawn at random from the deck of cards shown. Which of the following probabilities is equal to one?

P(even or odd)P(even and odd)P(not yellow)

Answers

P(even or add).
I hope i helped!
If so, Please mark as brainliest!

Answer:

P(Even or ODD) ( .Y .)

Step-by-step explanation:

Average speed of Car 1 = 45 mph.
Average speed of Car 2 = 65 mph.
Time elapsed between start of Car 1 and start of Car 2 = 18 minutes.
how long until the cars lapse

Answers

I'm assuming the two cars start from the same point! 

Let's measure time t from the time when Car 2 starts. 

Then the distances travelled by the cars up to the time of overtaking, t, must be the same. 

And we need to measure all time in hours, so 18 mins. is 0.3 hours. 

So, 45 x (0.3 + t) = 65 x t, so 20t = 13.5, so t = 13.5/20 = 27/40 = 40.5/60, i.e. 40 min 30 sec

It will take 40.5 minutes for Car 2 to catch up to Car 1 after its 18-minute head start.

To find out how long it will take for Car 2 to catch up to Car 1, we first need to determine the distance Car 1 travels during the 18-minute head start.

Convert 18 minutes to hours.

18 minutes ÷ 60 minutes/hour = 0.3 hours

Calculate the distance Car 1 travels during the 18-minute head start.

Distance = Speed × Time

Distance = 45 mph × 0.3 hours

Distance = 13.5 miles

Now that we know Car 1 has traveled 13.5 miles when Car 2 starts, we need to find out how long it takes for Car 2 to catch up, which is essentially the time needed to cover this distance at the speed difference between the two cars.

Calculate the relative speed of Car 2 compared to Car 1.

Relative Speed = Speed of Car 2 - Speed of Car 1

Relative Speed = 65 mph - 45 mph

Relative Speed = 20 mph

Calculate the time it takes for Car 2 to catch up.

Time = Distance ÷ Relative Speed

Time = 13.5 miles ÷ 20 mph

Time = 0.675 hours

Convert the time from hours to minutes for better understanding.

0.675 hours × 60 minutes/hour = 40.5 minutes

So, it will take 40.5 minutes for Car 2 to catch up to Car 1 after its 18-minute head start.

263,148 what is the value of the digit 6 in this number?

Answers

the ten thousands place

sixty thousand

hope this helps :)
sixth thousand hope it helps

there are 220 calories in 4 ounces of beef. how many calories are there in 5 ounces

Answers

Final answer:

To find the number of calories in 5 ounces of beef, divide 220 calories by 4 ounces to find the per ounce calorie count and then multiply by 5. The answer is 275 calories for 5 ounces of beef.

Explanation:

To determine the number of calories in 5 ounces of beef, we will first calculate the calories per ounce. Given that there are 220 calories in 4 ounces of beef, we can divide 220 calories by 4 to find the number of calories in 1 ounce.

220 calories ÷ 4 ounces = 55 calories per ounce.

Now, if one ounce of beef has 55 calories, then 5 ounces of beef would have:

55 calories/ounce × 5 ounces = 275 calories.

Therefore, 5 ounces of beef contains 275 calories.

How do you represent any number in an equation?

Answers

any unknown number in an equation you represent with a variable
You can represent it as a variable.

explain how you could convert a rate of 18000 miles per hour to miles per second

Answers

You could multiply that fraction by (1 hour / 3,600 seconds) .

               (18,000 mile / 1 hour) x (1 hour / 3,600 second) = 

               (18,000 x 1) / (1 x 3,600)  (mile-hour) / (hour-second) = 

                     (18,000 / 3,600)  (mile / second)  =  5 mile/second
18000 miles / 1 hour)(1 hour / 60 minutes)(1 minute / 60 seconds) =

18000 miles / 3600 seconds =

5 miles / 1 second

5 miles per second

For the expression below, write an equivalent expression that involves x only. assume x is positive.

Answers

Could you please elaborate on this question, which expression below. I will gladly help answer your inquires.

Write three decimals that have a sum of 27.905. Parts of the needed decimals are listed below! thanks!

14. + 8. + 4. = 27.905

Answers

we have to add three decimals that have a sum of 27.905
parts that are given is 14. + 8. + 4.
if we add these we get the sum of 26, so we need 1.905 more, if we add 0.95 + 0.5 + 0.5 we get 1.905
So, if the numbers are 14.905, 8.50 + 4.50 and we add these numbers we get the answer 27.905
14.905 + 8.50 + 4.50 = 27.905
Thus, the three decimals that have sum of 27.905 are 14.905, 8.50 and 4.50.
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