Assignments
In a lottery, the top cash prize was $633 million, going to three lucky winners. Players pick four different numbers from 1 to 52 and one number from 1 to 41
A player wins a minimum award of $400 by correctly matching two numbers drawn from the white balls (1 through 52) and matching the number on the gold ball (1
through 41). What is the probability of winning the minimum award?
Study Plan
Gradebook
The probability of winning the minimum award is
(Type an integer or a simplified fraction

Answers

Answer 1

The probability of winning the minimum award is very small, approximately 1 in 185 million.

To calculate the probability of winning the minimum award, we need to determine the number of possible outcomes and the number of favorable outcomes.

To win the minimum award, the player needs to match two of the white ball numbers and the gold ball number.

There are (4 choose 2) ways to choose two of the four white ball numbers, and there is only one way to choose the gold ball number. Therefore, the number of favorable outcomes is (4 choose 2) × 1.

So, the probability of winning the minimum award is:

(favorable outcomes) / (total outcomes)

= [(4 choose 2) × 1] / [(52 choose 4) × 41]

= (6 × 1) / (26,827,440 × 41)

= 6 / 1,100,701,040

≈ 0.0000000054 or 5.4 × 10⁻⁹

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Related Questions

Simplify the expression.

6(12 – 3) + 4 + (3 × 2)

a.64
b.96
c.144
d.208

Answers

6(9)+4+(6). 54+4+6= 64 A

[tex]Hiya![/tex]

Sokka is here to help!!

Here's a explanation!

[tex]6(12-3)+4+(3)(2)[/tex]

[tex]=(6)(9)+4+(3)(2)[/tex]

[tex]=54+4+(3)(2)[/tex]

[tex]=58+(3)(2)[/tex]

[tex]=58+6[/tex]

[tex]= 64[/tex]

Answer:

64.

Hopefully, this helps you!!

[tex]Sokka[/tex]

Dan earns £299 over the course of a five-day week. How much is that per day?

Answers

Answer:

£59.80

Step-by-step explanation:

299 ÷ 5 = 59.80

59.80 × 5 = 299

£59.8

Step by step

£299/5 = £59.8

4/5a - 8 = a + 2 solve for a

Answers

Answer:

a=-50

Step-by-step explanation:

Help me answer 1c, thank you!

Answers

Answer:

bilmiyom bu kadar cevap

Help quick 20 points

Answers

Answer:

Step-by-step explanation:

1) isosceles triangle d = (180 - 110) / 2 = 35°

2) 2h + 3h + 4h = 180

    9h = 180

      h = 20

2h = 40°

3h = 60°

4h = 80°

How do I point 11,7 on the coordinate plane

Answers

Answer: Plot a point on a coordinate plane just remember that the coordinate given is of the form .  Follow this simple steps

Step-by-step explanation: Identity the variable range .

Determine the scale of the graph.

Number and label each axis and title of the graph.

Show the positive and negative x-axis and y-axis

First , find the value of x on the x-axis . give x = 11 .

Find the value  of y on the y-axis . given y = 7.

Mark the point x=11 in the positive x - axis

Mark the point y=7 in the positive y - axis,.

After this meet the points by the help of scale and write the co-ordinates.

For more details about graph plot click the link given below.

https://brainly.in/question/10164601

When you're asked to plot a point on a coordinate plane just remember that the coordinate given is of the form .

So, first, we need to plot 11 on the -axis (the line going left to right, horizontal) then plot 7 on the -axis (the vertical line)

So we first go 11 units to the right along the -axis then go up 7 units along the -axis.

Hope this helped.

What is the next number in the pattern 2 5 11 23

Answers

Answer:

47

Step-by-step explanation:

FedEx will ship the Olympic medals from the producer to Japan. Each medal weighs 0.5 kilograms. A box carries 6 medals. If FedEx charges $28 per every 10 kilograms, how much will cost to ship 30 medals ?

A. $280
B. $168
C. $42

Answers

Answer:

42

Step-by-step explanation:

weight of medals:

30 (0,5) = 15 kg

cost of 5 kg:

28/2 = 14

cost of shipping:

14+28=42

Help pls!!!!!!


Yghhjjhgf

Answers

Answer:

[tex]\sf{Exact\:form:\\\sqrt[4]{81}\\[/tex]

[tex]\bold{Decimal\:form:-3}[/tex]

Step-by-step explanation:

[tex]-81^\frac{1}{4}[/tex]

[tex]\mathrm{Convert\: to\: radical\: form\: using\: the\: formula\:}\: a^\frac{x}{n} = \sqrt[n]{a^x}[/tex]

[tex]\mathrm{If\:} n \mathrm{\:is\: a\: positive\: integer\: that\: is\: greater\: than\:} x\mathrm{\:and\:} a \mathrm{\:is\: a\: real\: number\: or\: a\: factor, then} \\a^\frac{x}{n} = \sqrt[n]{a^x}[/tex]

[tex]\mathrm{Use\: the\: rule\: to\: convert\: -81^\frac{1}{4}\: to\: a\: radical, where\:} a=-81,\ x=1, \mathrm{and\:} n=4\\\sqrt[4]{81}[/tex]

[tex]\mathrm{Plug\: the\: points:}\\\\a^\frac{x}{n} = \sqrt[n]{a^x}\\-81^\frac{1}{4} =\sqrt[4]{81}[/tex]

[tex]\mathrm{Solve}\\\\\mathrm{The\: result\: can\: be\: shown\: in\: multiple\: forms.}[/tex]

The speed of an object is the ratio of its distance traveled to time. If the speed of a bicycle is 4.5 meters per second, what is the distance traveled in 9 seconds?

Answers

Answer:

40.5 meters

Step-by-step explanation:

4.5m/s • 9s = 40.5m

3. the smallest number by which 168 must be multipled to get the perfect square number. ICA) 3 1(B)2 (c) 4 (o)5​

Answers

Answer:

42

Step-by-step explanation:

168 factors into

2•2•2•3•7

two of the 2's make a perfect square

(2•2)•2•3•7

   2²•2•3•7

as none of the product of the remaining factors makes a perfect square

2•3 = 6,  2•7 = 14,  3•7 = 21

we need to multiply the remaining factors together to find another perfect square

   2²•(2•3•7)²

2•3•7 = 42

42(168) = 7056 = 84²

find the inverse of the function F(x)=x-3​

Answers

Answer:

f¹(x) = x - 3

To find the inverse of a function, just "trade" and y and solve for the "new" y. The graph of the inverse is the reflection of the original function over the line y = x.

Rewrite the function f(x) = x + 3

as the equation y = x + 3

Trade x and y.

x = y + 3

Solve for the "new" y.

= y + 3

3 - 3

Subtract 3 from both sides

y = x= 3

The symbol for the inverse is f-¹(x)

f¹(x) = x - 3

Step-by-step explanation:

brainlies me plss

[tex]f(x) = x -3 \\\\\text{Write f(x) as}~ y = x -3}\\\\\text{Now replace x and y,}\\\\x = y-3\\\\\text{Solve for y:}\\\\y = x+3 \\\\\implies f^{-1}(x) = x +3 ,~ \text{This is the inverse of given function.}[/tex]

A recipe for cinnamon rolls calls for 3 cups of flour for every cup of water. Using the same recipe, how much water will you need for 5 cups of flour?
How many cups of water will you need for 5 cups of flour? ​

Answers

Answer:

5/3 cups of flour

Step-by-step explanation:

3/1=5/x x representing the amount of water

cross multiply: 3x=5

divide by 3: x=5/3

can you please help out my daughter on this...​

Answers

Answer:

d

Step-by-step explanation:

I’m like 80% sure that the answer is c.

Evaluate.



(1/5) −1 ⋅ 4^0



0


1


5


20

Answers

Answer:

-1519 4/5

-1519.8

-7599/5

Step-by-step explanation:

(1/5) - 1 • 4^0
(1/5) - 1 • 1
(1/5) -1
(1/5) -1/1
(1/5) - (5/5)
(1-5/5)
-4/5

Evaluate the expression 8+7​

Answers

Answer:

15

Step-by-step explanation:

Calculate the sum of 8+7 which is 15

Given that 6 >-2, which statements are true? Check all that apply. (2)(6)>(-2)(2) 6 --2 2 2. 0 (-2)(6)>(-2)(-2) 6 -2 -2 -2 (2)(6)​

Answers

Answer:

Gogogigi

Step-by-step explanation:

i will be asking multiple questions (true or false ) you can just tell me which ones are true and which ones are false

4 is 10 times as much as 0.4 0.05 is 10 times as much as 50 0.3 is 10 times as much as
3 0.09 is 1/10 of 0.9 6 is 1/10 of 0.6 80 is 1/10 of 0.08

Answers

True, False, False, True, False, False

Solve the following system using the elimination method
y+3x=−2
2y−3x=14

Answers

Answer:

x = -2-y/3

Step-by-step explanation:

13. A linear cost function is C(x)= 28.37x +5,580, where x represents the number of units produced. What is the cost
of producing one more item if 75 are currently being produced? Round your answer to the nearest cent.
a. $7,736.12
b. $28.37
c. $5,580.00
d. $5,608.37
e. $75.00

Answers

9514 1404 393

Answer:

  b. $28.37

Step-by-step explanation:

In the cost function, x is the number of units. The derivative of the cost function with respect to x will tell the incremental cost of producing one more unit. That derivative is a constant, $28.37 per unit, so the cost of producing one more unit is $28.37 at any production level.

A square field has a side length of 6x10 meters. Which of the following is its area in square meters?

Answers

Answer:

60 square meters

Step-by-step explanation:

area is just its length times its width and both numbers are provided here

6 * 10 is 60

whats the answer can someone answer please​

Answers

Answer:

8. b

9. d

Step-by-step explanation:

The ratio of men to women working for a company is 5 to 7. If there are 196 women working for the company, what is the total number of employees?
employees

Answers

Answer:

336 employees

Step-by-step explanation:

Hi there!

We're given:

Ratio of men to women ⇒ 5:7

Number of women in the company ⇒ 196

1) Solve for the number of men in the company

Set up a proportion

[tex]\displaystyle \frac{5}{7} = \frac{x}{196}[/tex] where x is the number of men working at the company

Multiply both sides by x

[tex]\displaystyle \frac{5}{7} *196= x\\\\x=140[/tex]

Therefore, there are 140 men working at the company.

Now, we know that there are 140 men and 196 women working at the company. Assuming that they are the only people who work there, the total number of employees is 140 + 196 = 336.

I hope this helps!

Answer:

336 total employees

Step-by-step explanation:

divide women by their respective ratio to get unit multiplier

196÷7=28

add the 2 numbers in the ratio to get both men and women

7+5=12

multiply everyone by unit multiplier

12(28)

336

√12 - 1 √3=?
is correct the answer is 1/√3
THANK YOU

Answers

Answer:

[tex]\huge\boxed{\text{Is inorrect. Correct answer is:}}\\\boxed{\dfrac{6-\sqrt3}{3}\neq\dfrac{1}{\sqrt3}}[/tex]

Step-by-step explanation:

[tex]\dfrac{\sqrt{12}-1}{\sqrt3}=\dfrac{\sqrt{12}}{\sqrt3}-\dfrac{1}{\sqrt3}=\sqrt{\dfrac{12}{3}}-\dfrac{1}{\sqrt3}=\sqrt4-\dfrac{1}{\sqrt3}\cdot\dfrac{\sqrt3}{\sqrt3}=2-\dfrac{\sqrt3}{3}\\\\=\dfrac{6}{3}-\dfrac{\sqrt3}{3}=\dfrac{6-\sqrt3}{3}\neq\dfrac{1}{\sqrt3}\\\\\dfrac{1}{\sqrt3}\cdot\dfrac{\sqrt3}{\sqrt3}=\dfrac{\sqrt3}{3}[/tex]

Write an equation for the nth term of the arithmetic sequence −3, 2, 7, 12, Then find a50.
The equation is =___

Answers

Answer:

Pretty much f(n)=-3+5n-1

Step-by-step explanation:

for the 50th term 242

Please help! I'm confused​

Answers

The solution to the equation f(x) = g(x) is any x-value that makes the equation true.  In terms of using graphs, the solutions are the x-coordinates of any point of intersection.  

So if the graphs intersect at (1,5), then the solution is x=1.

This checks, because f(1) = 5 and g(1) = 5, so f(1) = g(1).

share £650 in the ratio of 4:9

Answers

Answer:

200:450 that would be the answer i believe

Solve for w.
16w–w–12w–2w=13
w=

Answers

Answer:

w = win

Step-by-step explanation:

w=13

Answer:

w = 13

Step-by-step explanation:

16w - w = 15w

15w - 12w = 3w

3w - 2w = w

w = 13

10) Bernice recived the followine scores
on 5 Science test : 96, 7, 82, 96
and 89. Which of the following statements
is true
a) The mean and median of the set of
Scores are the same t to sonho
b) The mode of the set score is 96
of The median of the set score is 82
do the mean of the set is greater
than the median

Answers

The mode of the set score is 96

The correct answer is b) The mode of the set score is 96.

What is mean, median and mode?

The "mean" is the "average" of the set of values.

The "median" is the "middle" value in the list of numbers.

The "mode" is the value that occurs most often.

Now the given scores on 5 Science test are,

96, 7, 82, 96 and 89

So, Sum of all the scores = 96+7+82+96+89= 370

Mean :

Mean = Sum of all the scores / Number of tests

Mean = 370 / 5

Mean = 74

Median :

Median is the middle value after rearrangement

So, rearranging the scores we get,

7, 82,) 89,( 96, 96

Hence the median of the scores is 89

Mode :

Mode is the number occurring the most. Since 96 occurs the most, hence the mode is 96.

Thus, from the given option, the correct option is b) The mode of the set score is 96

Hence, the correct answer is b) The mode of the set score is 96.

To learn more about mean, median and mode :

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guys help
Evaluate the numerical expression.

(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] =

Answers

Step-by-step explanation:

(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)]

= (25)2 × 100 ÷ 23 + [24 ÷ 8]

= 25 × 2 × 100/23 + 3

= 5000/23 + 3

= 5000+69/23

= 5069/23

= 220 9/23

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