In the Minnesota Northstar Cash Drawing, you pick five different numbers between 1 and 35. What is the probability of picking the winning combination (order does not matter)

Answers

Answer 1

Answer:

[tex]\frac{1}{324632}[/tex] probability of picking the winning combination

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Since the order is not important, the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Desired outcomes:

The correct five numbers from a set of 5. So

[tex]D = C_{5,5} = \frac{5!}{5!0!} = 1[/tex]

Total outcomes:

Five numbers from a set of 35. So

[tex]T = C_{35,5} = \frac{35!}{5!30!} = 324632[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{1}{324632}[/tex]

[tex]\frac{1}{324632}[/tex] probability of picking the winning combination


Related Questions

If the sixth term of a geometric sequence is 972, and the tenth term is 78732, what is
the first term?

Answers

Answer:

the first term is 4

which statement is true?

Answers

Answer:

The y-intercept of Function A is less than the y-intercept of Function B.

Step-by-step explanation:

Function A's y-intercept would be (0, -1) and Function B's y-intercept is (0, 4). Therefore, Function A's y-intercept is less than Function B's.

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
6
4
B
х
.
O x-4
O x-2

Answers

Answer:

Step-by-step explanation:

x+2

A factor of the polynomial function f(x) graphed on the coordinate plane below is,

⇒ x + 2

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The polynomial function f(x) graphed on the coordinate plane below.

Now, We have;

The vertex of the function is,

⇒ x = - 2

⇒ x + 2

Thus, A factor of the polynomial function f(x) graphed on the coordinate plane below is,

⇒ x + 2

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

Please hurry
A rectangular prism has a length of 9 cm, a width of 3 cm, and a height of 5 cm.
5
9
Which expressions can be used to find the volume of the prism?
Choose two correct answers.
(5)(3)(9)
27(5)
9(3+5)
5 (279)

Answers

Answer:

the first one and the second

Step-by-step explanation:

.

In exponential smoothing, the equation involves what type of value that is not part of the moving averages equation?
a. Upper limit
b. Lower limit
c. Level smoothing constant
d. Recent observed value

Answers

Answer:

d. Recent observed value

Step-by-step explanation:

Exponential smoothing is technique for smoothing time series data. In exponential smoothing more recent observed values give larger weights while the weights will decline if observed values are more distant. In moving average the observations were weighted equally.

why is the solution to the following equation? x+(-21)=8

Answers

Answer:

x = 29

Step-by-step explanation:

[tex]x+(-21)=8[/tex]

[tex]29+(-21)=8[/tex]      

[tex]29-21=8[/tex]

[tex]x=29[/tex]

What is the difference between function and operator in math?

Answers

Step-by-step explanation:

In mathematics, a function is a mapping from set A to a set B that has a unique output for any given input. “Operators” or “operations” are typically defined as a special type of function.

The difference is fiction is one thing and operator is another

VERY URGENT
The sum of two numbers is 36. The smaller number is 18 less than the larger number. What are the numbers?
Larger number:
Smaller number:

Answers

Answer:

Larger number: 22

The smaller number: 14

HOPE THIS HELPS

Find the volume of the sphere. Round your answer to the nearest tenth.

Answers

Answer:

D. 268.1 m³

Step-by-step explanation:

Volume =  4/3 * 3.14 * 4³

Volume = 4/3 * 201

Volume = 268 ≈ 268.1

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Candice works at a grocery store. She works 35 hours a week and
gets paid $8.50 an hour. For every hour over 35, Candice gets
paid $10 an hour. If she was paid $357.50 last week, how many
hours over 35 did Candice work?

Answers

9514 1404 393

Answer:

 6

Step-by-step explanation:

For 35 hours, Candice is paid ...

  ($8.50/h)(35 h) = $297.50

Any amount in excess of that is paid at $10 per hour. The amount of excess pay is ...

  $357.50 -297.50 = $60.00

Then the number of overtime hours was ...

  $60/($10/h) = 6 h

Candice worked 6 hours over 35 last week.

I need more help with 21 questions

Answers

Answer:

45

Step-by-step explanation:

9 ÷ 1/5

9 × 5/1

9 × 5

45

45 that's the correct answer lol

Which graph shows Point Pin Quadrant II and Point Q as (3,-4)

Answers

Answer:

p would be up top on the negative side (left)

q would be at the bottom on the positive side (right)

A ball is launched straight up in the air from a height of 6 feet. Its velocity​ (feet/second) t seconds after launch is given by f(t)= -34t+291.
Between 1 second and 8 seconds, the​ ball's height changed by ... feet.
​(Round answer to the nearest​ tenth.)

Answers

Answer:

966 feet

Step-by-step explanation:

First, we can see that we have the velocity function given, a base value for the height, and need to figure out the change in height. We also know that velocity is the derivative of position/height. Thus, we can find the integral of the velocity to find an equation for the height.

[tex]\int\limits^1_0 {-34t+291} \, dt\\[/tex]

Use the exponent rule to turn -34t into -17t² and 291 into 291t to get our result as

-17t²+291t + C = height (h)

When t=0, we know that our height (h) is 6, so C = 6, making our equation

-17t²+291t + 6

To find the change between 1 second and 8 seconds, we can plug 1 and 8 in for t, and find the difference between those values, which is

(-17(8)²+291(8) + 6) - ( -17(1)²+291(1) + 6 )

= 1246 - 280

= 966

Note that we did final value (t = 8) - initial value (t=1), not the other way around

The change in height, between 1 second and 8 seconds, is therefore 966 feet

simplify the expression

Answers

Answer:

The answer is C.

Step-by-step explanation:

Multiplying the exponents is adding them together.

Answer:

x^8

Step-by-step explanation:

Multiply the terms with the same base by adding their expondents

x^6+2^2

add the numbers 6+2= 8

carlos and his crew build small wooden packing crates at a rate of 52 cates per hour how many crates can they build in 6 1/2 hours​

Answers

Answer:

338 crates

Step-by-step explanation:

Find how many crates they can make by multiplying 52 by 6.5:

52(6.5)

= 338

So, in 6.5 hours, they can make 338 crates

what is 1 + 1?

First to answer gets 10 points!

Answers

Answer:

2

Step-by-step explanation:

5(x+2)-4 = 13-7(x+1)

Answers

Answer:

0

Step-by-step explanation:

5x+10-4=13-7x-7

5x+6=6-7x

5x+0= -7x

0=-12x

Divide and u get x=0

A person's Body Mass Index (BMI) is a measure of the amount of fat in their body. The relationship between antioxidant food consumption per day in cups and the BMI of an individual is modeled by the following line of best fit: [tex]y=-1.2x+26[/tex] . Interpret the slope and intercept of the trend line within the context of the data.

DIRTY ANSWERS REPORTED
NO LINKS ALLOWED!

Answers

Answer:

The slope of -1.2 means that for each cup of antioxidant a person consumes per day, it's BMI decreases by 1.2.

The intercept of 26 means that a person that does not consume any cup of antioxidant food a day should have an BMI around 26.

Step-by-step explanation:

Line of best fit:

[tex]y = -1.2x + 26[/tex]

Slope:

The slope is the number that multiplies x, that is, -1.2. The slope of -1.2 means that for each cup of antioxidant food a person consumes per day, it's BMI decreases by 1.2.

Intercept:

Value of y when x = 0, that is, 26. The intercept of 26 means that a person that does not consume any cup of antioxidant food a day should have an BMI around 26.

Answer:

the slope is -1.2 and the intercept is 26.

Step-by-step explanation:

our line's equation is y= -1.2x + 26

In the equation y = mx + b, m is the slope and b is the y-intercept. So in this equation, look for where the numbers are placed and that it what you get.

h(-7)=

See graph below to help solve.

Answers

h(-7)
-h*7
-7h
and the right answer -7h

Contains the point (5, 4) and is perpendicular to the y axis

Answers

Answer:

y = 4

Step-by-step explanation:

A horizontal line at

y = 4

is perpendicular to the y-axis and includes all values of x

select the correct answer. The capacity of a circular bowl varies directly with the cube of its diameter. How does the capacity of the bowl change when the diameter is doubled? a. the capacity is multiplied by 8. b. the capacity is multiplied by 2. c. the capacity is multiplied by 1/8. d. the capacity is multiplied by 1/2.​

Answers

Answer:

A

Step-by-step explanation:

got it right on the test

In a directly proportional relationship, increasing one variable will increase another. The correct option is A.

What is the directly proportional relationship?

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called the constant of proportionality.

This directly proportional relationship between p and q is written as

p∝q where that middle sign is the sign of proportionality.

In a directly proportional relationship, increasing one variable will increase another.

Now let m and n be two variables.

Then m and n are said to be inversely proportional to each other if

[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]

(both are equal)

where c is a constant number called the constant of proportionality.

Given that the capacity of a circular bowl varies directly with the cube of its diameter. Therefore, the relationship can be written as,

Volume of the bowl ∝ (Diameter of the bowl)³

V₁ ∝ (D)³

Now, if the diameter of the bowl is increased and made double. Then the volume of the bowl will be,

Volume ∝ (2 × Diameter)³

V₂ ∝ (2D)³

V₂ ∝ 8(D)³

V₂ ∝ 8 V₁

Thus, when the diameter is doubled then the capacity of the bowl changes to 8 times the initial.

Hence, the capacity is multiplied by 8.

Learn more about Directly proportional relationships:

https://brainly.com/question/13082482

#SPJ5

Find the value of x to the nearest degree.
16
7
Not drawn to scale

Answers

Answer:

66°

Step-by-step explanation:

Given the right angled triangle :

Opposite side = 16

Adjacent side = 7

Using trigonometric relation :

Tan θ = opposite / Adjacent

Tan x = (16/7)

x = tan^-1(16/7)

x = 66.37°

x = 66°

Given the diagram below, find the value of x. Then find AC,

Answers

Answer:

[tex]x=5,\\AC=14[/tex]

Step-by-step explanation:

Since one triangle is inscribed in another, the two triangles are similar. As marked in the diagram, the sides of the larger triangle are exactly two times larger than the corresponding sides of the smaller triangle.

Therefore, we have:

[tex]2(x+2)=4x-6,\\2x+4=4x-6,\\10=2x,\\x=\boxed{5}[/tex]

Since AC is marked by [tex]4x-6[/tex]:

[tex]AC=4(5)-6,\\AC=20-6,\\AC=\boxed{14}[/tex]

How can you use problem-solving strategies in solving personal, professional, and mathematical problems? Explain in 5-7 sentences and I WILL MARK YOU THE BRAINLIEST!!!

Answers

Answer:

Problem-solving is one of those skills that is in high demand. Many employers rate it as one of the most important traits they look for in prospective employees. It is also usually listed as an important learning outcome in many of the classes you in take in college including math classes, psychology classes, and even this class! But, it is often not taught at all or very well.

One reason why this is the case is because of a confusion relating to what kinds of problems are being solved. It is often assumed that by practicing any kind of problems for which you don't have an answer you will learn the skills appropriate to solve any problem. But, this is simply not true. Since there are different types of problems learning how to solve one type won't necessarily help you build the skills you need to solve the other type. So, let's begin by distinguishing two types of problems: puzzles and mysteries.

In his book Curious: The Desire to Know and Why Your Future Depends on It, Ian Leslie defines these two types of problems very well: puzzles and mysteries.

"Puzzles have definite answers. Puzzles are orderly; they have a beginning and an end. Once the missing information is found, it's not a puzzle anymore." Most of the problems you encounter in your college math courses are in reality puzzles. They have definite answers and are orderly. Also, the information you need to solve them is right there in the question! And, if you need extra help you can just turn back to the chapter in the text which discusses how to solve these particular type of problems.

I know what you're thinking. Sure, these are real world problems and I've even faced some of them but how can I build the skills I need to solve these problems before taking these problems on? It does no good to practice on these very difficult problems.  

2. Learn as much as you can about as many topics as you can. Solving mysteries often involves drawing on knowledge from a variety of sources. It is quite likely that many of the things you're now learning (even those you think are irrelevant) may turn out to be helpful at some point in solving a problem. So, take advantage of the opportunity to really learn about psychology, biology, history, mathematics, and all the other subjects you're learning now. That time will pay off.

3. Make connections. A lot of problems are solved by finding interesting, creative connections between seemingly unrelated topics. A good example here is Steve Jobs' application of his knowledge of calligraphy to the Apple operating system. Another is the psychiatrist Jeffrey Schwartz's development of a treatment for OCD (obsessive compulsive disorder) by combining Buddhism and Austrian economics.

4. Read books about mysteries, problem solving, and even mystery novels. Sherlock Holmes is a great place to start. Reading the Conan Doyle's stories of the great detective reveal some basic principles of problem solving which can apply to everyday life. Daniel Smith's book How to Think Like Sherlock is another good resource.

5. Solve simpler mysteries first. Rather than taking on the more complex type of real world problems mentioned above, begin with simpler, but still real, problems. Never mind solving your work-life balance problem right off. Start with solving this problem: How can I keep from losing my phone every time I get ready to go somewhere?

6. Adopt a problem-solving mindset. Be observant of your surroundings and attuned to what you can do to improve how you live, work, or do simple things. Thomas Edison exemplifies this mindset very well. He often presented his lab assistants with the following challenge. He would hand them some ordinary item (like an iron or a fountain pen) and say "There's a better way. Find it." Adopt that mentality in your life. Whatever you're doing ask whether there is a better way: easier, more efficient, more effective.

7. Learn about design thinking. Lastly, you may want to learn about design thinking. I've made a few resources available that provide a brief introduction to the basic ideas of design. The important feature is to solve problems with the end user in mind. When you're trying to solve a problem be sure you understand for whom you are solving it and what their needs are. That will allow you to focus on the best solutions given what they're facing.

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Problem solving strategies are required in solving the problems that we face everyday. To solve a particular problem, we've to understand the problem, devise a plan that will be used in carrying out the problem and then implement the solution.

Problem solving strategies refer to the methods that are used by an individual in the solving of problems. An individual can be faced with challenges at their place of work or at home. In order to solve such problems, it's necessary to have a problem solving strategy in place.

Firstly, one needs to under the problem. Then, one has to find potential solutions to the problem and the best solution out of the alternatives would be chosen. The chosen solution would then be implemented.

Problem solving strategies are also required in mathematics. In order to solve a particular mathematics question, one needs to understand the problem first and find the solution to the problem.

In conclusion, problem solving strategies are required by everyone to solve the challenges that we face.

Read related link on:

https://brainly.com/question/24511305

lab scale known to have a standard deviation of 0.001gram, speimen weghtted 8 times. average weiht is 4.1602 gram. what is 99% confidence interval

Answers

Answer:

[tex]99\% CI=4.1602 \pm 0.0009[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size [tex]n=8[/tex]

Mean [tex]\=x=4.1602[/tex]

Standard deviation [tex]\sigma=0.001gram[/tex]

Generally 99\% confidence from table  is mathematically given by

 [tex]99\% CI=4.1602 \pm *2.576*\frac{0.001}{\sqrt{{8}}}[/tex]

 [tex]P(-z<x<z)=0.99[/tex]

 [tex]Z_{\alpha/2}=2.576[/tex]

Generally the equation for 99\% confidence level (CI)  is mathematically given by

 [tex]99\% CI=\=x \pm Z_{\alpha/2*\frac{\sigma}{\sqrt{{n}}}[/tex]

 [tex]99\% CI=4.1602 \pm 0.0009[/tex]

Please find the general limit of the following function:

[tex]\lim_{x \to 9}(x^2 + 2^7 + (9.1 \times 10))[/tex]

Answers

Answer:

The general limit exists at x = 9 and is equal to 300.

Step-by-step explanation:

We want to find the general limit of the function:

[tex]\displaystyle \lim_{x \to 9}(x^2+2^7+(9.1\times 10))[/tex]

By definition, a general limit exists at a point if the two one-sided limits exist and are equivalent to each other.

So, let's find each one-sided limit: the left-hand side and the right-hand side.

The left-hand limit is given by:

[tex]\displaystyle \lim_{x \to 9^-}(x^2+2^7+(9.1 \times 10))[/tex]

Since the given function is a polynomial, we can use direct substitution. This yields:

[tex]=(9)^2+2^7+(9.1\times 10)[/tex]

Evaluate:

[tex]300[/tex]

Therefore:

[tex]\displaystyle \lim_{x \to 9^-}(x^2+2^7+(9.1 \times 10))=300[/tex]

The right-hand limit is given by:

[tex]\displaystyle \lim_{x \to 9^+}(x^2+2^7+(9.1\times 10))[/tex]

Again, since the function is a polynomial, we can use direct substitution. This yields:

[tex]=(9)^2+2^7+(9.1\times 10)[/tex]

Evaluate:

[tex]=300[/tex]

Therefore:

[tex]\displaystyle \lim_{x \to 9^+}(x^2+2^7+(9.1\times 10))=300[/tex]

Thus, we can see that:

[tex]\displaystyle \lim_{x \to 9^-}(x^2+2^7+(9.1\times 10))=\displaystyle \lim_{x \to 9^+}(x^2+2^7+(9.1\times 10))=300[/tex]

Since the two-sided limits exist and are equivalent, the general limit of the function does exist at x = 9 and is equal to 300.

Step-by-step explanation:

Hey there!

Please look your required answer in picture.

Note: In left hand limit always take a smaller near number of the approaching number. For example as in the solution I took the 8.99,8.999 as it is smaller than 9 but very near to it.

And in right hand limit always take a smaller and just greater near number than the approaching number. For example, I took 9.01,9.001 which a just greater but very near to 9.

Hope it helps!

2x[tex]2x^{2} - 14x + 24[/tex]

Answers

What are we supposed to solved X or Y, what kind of answer need be for specific please

In the accompanying diagram of circle o, chords AB and CD
intersect at E. If AE = 3, EB = 4, CE = x, and ED = x +1,
find CE

Answers

Answer:

x = 3

Step-by-step explanation:

Given :

AE = 3, EB = 4, CE = x, and ED = x +1,

Equating chord AB and CD

AE*EB = CE*ED

3*4 = x*(x+1)

12 = x² + x

x² + x - 12 = 0

x² +4x - 3x - 12 = 0

x(x + 4) - 3(x + 4)

(x + 4) = 0 or (x - 3) = 0

x = - 4 or x = 3

Distance can't be negative :

x = 3

4. If your balance on an investment of $100 that has been invested at
a rate of 7.5% is $178.35 at the end of 8 years, does the plan have simple
interest or compound interest?

Answers

Answer:

Simple interest

Step-by-step explanation:

Because its a period of 8 years

convert 6 miles to meters​

Answers

Step-by-step explanation:

6miles= 9656.064 metres

Answer:

The answer is 9656.064 meters.

Other Questions
Match the statement with the appropriate reason for the proof above. Answers may be used more than once. You will have to fill in the blanks for 3and 9 so you know the reason to match it with, but you are not picking solutions for 3 and 9 Which of the following statements concerning the economies of Colonial America are true? Bab isnt good with quick mafs What is the noble gas electron configuration of bismuth (Bi)? Find the average rate of change (-4,-7)(-2,3) Part D In her science class, Nadia needs to make a model showing the planets relative distance from the Sun. She wants to use centimeter grid paper to create her model. If 1 centimeter on the model represents 100,000,000 kilometers, write a proportion Nadia could use to create her model on the grid paper. Use the proportion to find the distance for each planet on the model. Then use a ruler and centimeter grid paper to draw a model similar to Nadia's. who approves the federal budgetcongresspresdienthousePresident and congress 2x - 1 = 17............... The ratios a: B and B :c are equivalent to one anotherSelect all the statements that must be true 1. Environmental scientists have become concerned that Maryland'sprecipitation is too far from neutral to be safe for healthy aquaticecosystems. What property of water would they test? In the decades after the Civil War, cities in the United States grew at an incredible rate. In 1860, only nine cities had a population of more than 100,000. By 1880 that number had more than doubled to 20. Twenty years later in 1900, there were 38 cities with over 100,000 residents. By 1920, with 68 such cities, the countrys urban population exceeded that of rural areas for the first time in American history. New York City led the way with a population of nearly 3,500,000 in 1900, but other cities like Chicago werent far behind. Over a 40 year period, Chicagos population grew from 100,000 to 1,700,000. This massive growth was driven by three factors: immigration, migration and industrialization.Which of the following best describes the purpose of the passage?Ato explain how immigration, migration and industrialization made New York City larger than Chicago in 1900Bto argue that urban life is more important to American history than rural life isCto show how quickly cities grew after 1860 due to immigration, migration and industrializationDto describe the political situation in the cities of the United States after 1860 In the workplace, information peers may be inclined to disclose information about their personal lives.TrueFalse the sum of 43.9 and 4 groups of a number which phrase best completes this list ?( RESULTS OF THE LOUISIANA PURCHASE )_______________________________________UNITED STATES DUBBLED IN SIZE ________________________________________AMERICAN COMTROL OF THE MISSISSIPPI RIVER ________________________________________ ? find measure of indicated arc please! how do you find line segments in angels What did a homesteader have to do to receive land from the Homestead Act? An investor entered into a contract with a winery. The contract provided that the investor would invest $1 million in the winery and, in return, the winery would produce and market at least 500,000 bottles of wine each year for five years under a specified label. The contract included a provision that, if feasible, the wine would be distributed by the winery only through a certain wholesale distributor of fine wines. Neither the investor nor the winery had previously dealt with the distributor. The distributor learned of the contract two days later from reading a trade newspaper. In reliance thereon, he immediately hired an additional sales executive and contracted for enlargement of his wine storage and display facility. If the winery refuses to distribute the wine through the distributor and the distributor then sues the winery for breach of contract, is it likely that the distributor will prevail Of course, most of us know the reaction between Coca Cola and Mentos. So please can someone provide a chemical equation which contains the ingredients in Coca Cola and Mentos that will make it to foam? which blocks represent the particles of an element