In a weekly lottery, ten ping-pong balls numbered 0 to 9 are placed in each of six containers, and one ping-pong ball is drawn from each container. To win the prize, a participant must correctly identify the ping-pong ball that is drawn from each of the six containers. If Juan played the lottery last week and didn’t win, what is the probability that he will win this week?

Answers

Answer 1

The probability that he will win this week is 0.0001%.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Ten ping-pong balls numbered 0 to 9 are placed in each of six containers.

It will not effect the outcome if Juan didn't win last week.

So, the probability that he will win this week

= [tex](1/10)^6[/tex]

= 1/1,000,000

= 0.000001

= 0.0001%

Hence, the probability that he will win this week is 0.0001%.

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Related Questions

The football team is running a jackpot in which the prize will start at $2500 for the first game, and then increase $500 each game if there is no winner. If there are no winners, find the value of the jackpot at the end of their 16-game season.

Answers

10,500 because if you first add 2500 and 500 its already 1 so fifteen times mor and thats 10,500

The value of the jackpot at the end of the 16-game season will be $10,000.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The jackpot prize starts at $2500 for the first game and increases by $500 for each game if there is no winner.

For the second game,

The prize will be $2500 + $500 = $3000.

For the third game,

The prize will be $3000 + $500 = $3500.

Continuing in this pattern, the prize for the 16th game will be:

$2500 + ($500 × 15)

= $2500 + $7500

= $10000

Therefore,

The value of the jackpot at the end of the 16-game season will be $10,000.

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Ron and kathy are ticket sellers at their class play. ron handles student tickets that sell for $2.00 each, and kathy handles adult tickets that sell for $4.50 each. if their total income for 364 tickets was $1,175.50, how many tickets did ron sell?

Answers

185 tickets

You can get this by setting up a system of equations and solving by substitution. 

x + y = 364 (number of tickets)
2x + 4.5y = 1175.50 (Cost)

What is the point-slope equation of the line with a slope 4/3 that goes through the point (-4,6)?

Answers

[tex]\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{6})~\hspace{10em}slope = m\implies \cfrac{4}{3}\\\\\\\begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\\\cline{1-1}\\y-y_1=m(x-x_1)\\\\\cline{1-1}\end{array}\implies y-6=\cfrac{4}{3}[x-(-4)]\implies y-6=\cfrac{4}{3}(x+4)[/tex]

Answer:

The point-slope form of the equation is y - 6 = 4/3(x + 4), which is answer B.

Step-by-step explanation:

In order to find the point-slope form of any equation, start with the base form of the equation.

y - y1 = m(x - x1)

Now input the slope given as m, and the point in for x1 and y1.

y - y1 = m(x - x1)

y - 6 = 4/3(x - -4)

y - 6 = 4/3(x + 4)

What is the simplified form of sqrt 400x100? 200x50 200x10 20x50 20x50

Answers

√400 x √100 = 40,000 
√40,000 = 200 

So your answer is 200 x 10.

Hope this Helps!!

Answer:  The required simplified form is 20 × 10.

Step-by-step explanation:  We are given to find the simplified form of the following radical expression :

[tex]E=\sqrt{400\times 100}.[/tex]

We will be using the following property of radicals :

[tex](i)~\sqrt{x}=x^\frac{1}{2}\\\\(ii)~\sqrt{a\times b}=\sqrt a\times\sqrt b.[/tex]

Therefore, we have

[tex]E\\\\=\sqrt{400\times 100}\\\\=\sqrt{400}\times\sqrt{100}\\\\=\sqrt{20^2}\times\sqrt{10^2}\\\\=((20)^2)^\frac{1}{2}\times(10^2)^\frac{1}{2}\\\\=20^{2\times\frac{1}{2}}\times(10)^{2\times\frac{1}{2}}\\\\=20\times10.[/tex]

Thus, the required simplified form is 20 × 10.

What are the foci of the hyperbola with equation 5y^2-4x^2=20?

Answers

The foci of the hyperbola with equation 5y^2-4x^2=20 will be given as follows:
divide each term by 20
(5y^2)/20-(4x^2)/20=20/20
simplifying gives us:
y^2/4-x^2/5=1
This follows the standard form of the hyperbola
(y-k)²/a²-(x-h)²/b²=1
thus
a=2, b=√5 , k=0, h=0
Next we find c, the distance from the center to a focus.
√(a²+b²)
=√(2²+(√5)²)
=√(4+5)
=√9
=3
the focus of the hyperbola is found using formula:
(h.h+k)
substituting our values we get:
(0,3)
The second focus of the hyperbola can be found by subtracting c from k
(h,k-c)
substituting our values we obtain:
(0,-3)

Thus we have two foci
(0,3) and (0,-3)
(0 ± 3) is the answer to your question? Hope this helps

A gym has an inclined treadmill for joggers, as shown in the figure.

What is θ, the treadmill's angle of elevation?



Round your answer to the nearest degree.

Answers

we know that
in a right triangle
cos θ=adjacent side angle θ/hypotenuse
in this problem

adjacent side angle θ=38 in
hypotenuse=40 in

cos θ=38/40
θ=arc cos (38/40)-------> 18.19°-------> 18°

the answer is
18 degrees

Simplify the square root of 864.
I cant remember this, please tell me how you got the answer.

Answers


[tex] \sqrt{864} [/tex]
[tex] \sqrt{4 \times 216} [/tex]
[tex] \sqrt{4 \times 4 \times 54} [/tex]
[tex] \sqrt{4 \times 4 \times 2 \times 27} [/tex]
[tex] \sqrt{4 \times 4 \times 2 \times 9 \times 3} [/tex]
now take out the pairs.
[tex]4 \sqrt{2 \times 9 \times 3} [/tex]
take out any of the square roots like 9
[tex]4 \times 3 \sqrt{2 \times 3} [/tex]
Now put it all back together.
[tex]12 \sqrt{6} [/tex]
I believe that is the answer.

A local movie theater charges $12 for an adult ticket and $10 for a child's ticket. a group of eight people spent a total of $86 on tickets to a movie. how many adults and how many children were in the group? write a system of linear equations based on the description. use x to represent the number of adults and y to represent the number of children.

Answers

3 adults and 5 kids. 

You can get this by setting up the following system of equations.

x + y = 8 (number of people)
10x + 12y = 86 (cost)

Which of these is equal to 50 + 21? 20 + 21 60 - 30 20 + 11 60 - 61

Answers

50 + 21 is equal to d. 11+ 60.

What is simplificarion?

Simplification or simplifying fractions means simplifying a complicated mathematical expression to get a single or direct solution.

the value of 50 + 21 = 71 is option C.

a. 20 + 21

b. 60 - 30

c. 20  - 61

d. 11+ 60

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Final answer:

None of the provided options (20 + 21, 60 - 30, 20 + 11, 60 - 61) are equal to the sum of 50 + 21, which is 71. Each option computes to a different number, all of which are not equal to 71.

Explanation:

The question asks which of the given options is equal to the sum of 50 + 21. To solve this, we can compute each of the options to see which one equals 71, since 50 + 21 equals 71. Let's calculate:

20 + 21 = 41, which is not equal to 71.60 - 30 = 30, which is also not equal to 71.20 + 11 = 31, again not equal to 71.60 - 61 equals -1, which is not equal to 71.

None of the provided options are equal to the sum of 50 + 21. The correct answer should be a number that when calculated results in 71, but none of these options do.

Last Monday, Luis's mother gave birth to twins and named them Ashley and Umaima. When they were first born, Ashley weighed 2.82.8 2.8 2, point, 8 kilograms , and Umaima weighed 2.52.5 2.5 2, point, 5 kilograms and was 4949 49 49 centimeters tall. How much did the babies weigh in total?

Answers

To clarify the question:
Ashley weighed 2.8 kilograms at birth.
Umaima weighed 2.5 kilograms at birth.
Umaima being 49 centimeters tall has nothing to do with the question, since the question asks for weight only.

Add their weights together.

[tex]2.8 + 2.5 = 5.3[/tex]

The twins weighed 5.3 kilograms together.

giving brainliest please help, and give steps if possible. Im trying to learn this.

Answers

To find (fg)(x), you must mult. together the two binomial functions f and g:

(fg)(x) = (6-5x)(6x^2+x = 36x^2 + 6x - 30x^3 - 5x^2

and then you must combine like terms:   (fg)(x) = -30x^3 + 31x^2 + 6x

Answer:

[tex]f(x)g(x) = - 30x^{3} + 31 {x}^{2} + 6x[/tex]

Step-by-step explanation:

[tex](fg)(x) \\ (fx) = 6 - 5x \\ g(x) = {6x}^{2} + x \\ substitute \: and \: calculate: \\ f(x)g(x) = - 30x^{3} + 31 {x}^{2} + 6x[/tex]

Use the intercept form to find the equation of the line with the given intercepts. the intercept form of the equation of a line with intercepts (a, 0) and (0,
b.is

Answers

Assuming that the "given intercepts" are (a,0) and (0,b), the equation of the line thru these 2 pts. is easily found thru use of the point-slope formula:

         b-0
m = -------- = -b/a
         0-a

Then y-0 = (-b/a)(x-a), or y = (-b/a)(x-a) (answer)

The difference of a number and 8 is the same as 34 less the number. find the number.

Answers

Let the number be x.

8 - x = x -34

2x = 8 + 34

2x = 42

x = 21

Answer: The number is 21.

The rectangular prism shown has a volume of 140 m3. This prism is enlarged using a scale factor of 2. What is the volume of the enlarged prism?

Answers

1120m3 is correct hope this helps :)

The local linear approximation of a function f will always be greater than or equal to the function's value if, for all x in an interval containing the point of tangency

Answers

the answer is the third one

f''(x)<0 is the answer

Find the exact values of cos (3pi/4radians) and sin (3pi/4 Radians)

Answers

cos (3π/4) can be written as,
cos (π-π/4) = -cosπ/4 = -1/√2

similarly sin3π/4=sin(π-π/4) = sin π/4 = 1/√2

If you are doing on  apex the answer is √2/2

Factor the polynomial:
–x3 – 3x2 – 4x

A. –x(x2 + 3x + 4)
B. –x(–x2 – 3x – 4)
C. –x(x2 + 3x – 4x)
D. x(x2 + 3x + 4

Answers

Answer:

D. [tex]-x(x^2+3x+4)[/tex]

Step-by-step explanation:

[tex]-x^3-3x^2-4x = -(x^3+3x^2+4x)= -x(x^2+3x+4)[/tex]

What is the equation of a circle whose center is (4 6) and whose radius is 4 cm?

Answers

The equation for a circle is (x-h)^2+(y-k)^2 = r^2 
The h part in with the x is your x coordinate and the k part in with the y is your y coordinate. The r stands for the radius but be careful you have to square it.
so:
(x-(4))^2 +(y-(6)^2 = 16
I like to add the parenthesis around the "plugged in" numbers to help me remember negatives if I have any.  

A car is traveling at a speed of 50 miles per hour. Each wheel of the car makes 770 revolutions per minute. To the nearest tenth of an inch, what is the diameter of each car wheel? (Note: 1 mile = 5,280 feet)

Answers

Answer: 21.8 inches

Given:

A car is traveling at a speed of 50 miles per hour. Each wheel of the car makes 770 revolutions per minute.

To get the diameter of each car wheel

Get first the length of revolution (circumference of the wheel) in inches.

Speed=50 miles/hr

=50miles/60 minutes

= 0.833333 miles/minute

=.833/5280=4400ft= 52,800 inches/minute

Since there are 770 revolutions per minute, per revolution  (circumference of the wheel) =

=52,800/770

=68.57 inches

Formula of diameter given the circumference is:

D=C/π 

D=68.57/3.14

D= 21.8 inches 

Answer:

21.8

Step-by-step explanation:

just took test

A climber is standing at the top of Mount Kilimanjaro, approximately 3.7 miles above sea level. The radius of the Earth is 3959 miles. What is the climber's distance to the horizon?

Answers

For the answer to the question above,The tangent line from the horizon to the radius of the earth is perpendicular between the tangent point and the center. So, therefore, we can use Pythagorean's theorem to write an equation:

x² + r² = (r+h)²
x² + 3959² = (3959 + 3.7)²
x² = 3962.7² - 3959²
x = 171.2 miles
I hope this helps

A recipe for fruit punch calls for cranberry juice and sparkling water. The ratio of cups of cranberry juice to cups of sparkling water is 6:24. According to the recipe, how many cups of cranberry juice are needed for every 1.5 cup of sparkling water? Write your answer as a fraction in simplest form.

Answers

start by looking at the (fraction)
6 / 24, or more fittingly, sparkling water / cranberry juice.
We can simplify the fraction to find an easy point of reference.
6 / 24 = 1 / 4
So if we're being asked for every one and a half cups, we'll get this fraction: 1.5 / 6.
It's about 6 cups of cranberry juice for every one and a half cups of sparkling water.  Or was it the other way around?  I only know the ratio, you figure out the rest.
Hope this helps!(i tried)

peter put $8,000 into a savings account that pays 6% interest, compounded continuously. what will he have after 5 years?

Answers

So, continuous compound formula is:
[tex] Pe^{rt} [/tex]
is Principal Amount
r is Rate
t is Time
P is 8000
r is 6%
t is 5
Therefore, you get $10,798.86.

My brother owes me $10. I already have $10. My dads friend gave me and him $20 to split in half. He gave me the $20 and took my $10. Does he still owe me. Explain plz

Answers

Yes...     You have $10
               your brother is supposed to give you $10
               he gives you the money the friend told him to and you would have $20 PLUS the ten that he owes you. That would make you have $30. He took youre ten and gave you 20 but you were supposed to have 20 in the first place. He needs to give you the ten back he owes you. 

for v=4i-8j, find unit vector u in the direction of v
a. u= 1/3i - 2/3j
b. i-j
c. sqrt3/3 i - 2 sqrt3/3 j
d. sqrt5/5 i - 2 sqrt5/5 j

Answers

The unit vector is given by:
 u = v / lvl
 The module of v is:
 lvl = root ((4) ^ 2 + (-8) ^ 2)
 lvl = root (16 + 64)
 lvl = root (80)
 lvl = 4 * root (5)
 Substituting:
 u = 4i-8j / (4 * root (5))
 Rewriting:
 u = i-2j / root (5)
 u = root (5) / 5 i - 2 * root (5) / 5 j
 Answer:
 
The unit vector in the direction of v is:
 
d. sqrt5 / 5 i - 2 sqrt5 / 5 j

write an equation of an ellipse in standard form with the center at the origin and a height of 3 units and width of 1 unit

Answers

Final answer:

The equation of an ellipse with the specified attributes, using the center as the origin, is x2/0.25 + y2/2.25 = 1.

Explanation:

The question asks for the equation of an ellipse with the center at the origin and a height of 3 units and width of 1 unit. In an ellipse, the center is the midpoint of both the major and minor axes. The major axis can be the horizontal (width) or vertical (height) axis, and the minor axis is the other one.

Given that the height of the ellipse is 3 units, this determines the major axis and its length of 2a=3, which means a=1.5. The width of the ellipse is 1 unit, this determines the minor axis and its length of 2b=1, which means b=0.5.

Using these values, the equation of such an ellipse, centered at the origin, in standard form is x2/0.25 + y2/2.25 = 1

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Final answer:

The equation of an ellipse in standard form with the center at the origin, a height of 3 units and width of 1 unit is [tex]\(4x^2 + (y^2/2.25) = 1\).[/tex]

Explanation:

The equation of an ellipse in standard form with the center at the origin can be given by [tex]\(rac{{x^2}}{{a^2}} + rac{{y^2}}{{b^2}} = 1\)[/tex], where a is the semi-major axis and b is the semi-minor axis. Based on the information given in yourquestion, the height of the ellipse is 3 units which means the semi-major axis b is 1.5 units (since it's half the height). Similarly, the width of the ellipse is 1 unit which means the semi-minor axis a is 0.5 units (since its half the width). Substituting these values into the standard form of the ellipse we get: [tex]\(4x^2 + (y^2/2.25) = 1\)[/tex]

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The angle of elevation to the top of a building in chicago is found to be 11◦ from the ground at a distance of 1000 feet from the base of the building. find the height of the building.

Answers

The height is 1943.8 feet. easiest way to do this is draw a little diagram. Draw the building and the unknown height can be "x". We know a 1000 feet away from the base of the building, the angle between the ground and top of the building is 11 degrees. If you draw this, you can see that you can use the tan function to find the missing "x". tan (angle) = opposite side/adjacent side. So tan(11) = x/1000. Isolate for x and you get 1943.8 feet

Before simplifying, how many terms are there in the expression -2x + 8 - 6y + 8x + 11?

Answers

Final answer:

The expression contains five terms before simplifying. We simplify by combining like terms to get a simplified result of 6x - 6y + 19 and then confirm the simplification by checking if the answer is reasonable.

Explanation:

The student has asked how many terms are in the expression -2x + 8 - 6y + 8x + 11 before simplifying. A term is a single mathematical expression that may consist of constants and/or variables, sometimes multiplied together but not added or subtracted to another term. In the given expression, there are a total of five terms: -2x, +8, -6y, +8x, and +11.

To simplify the algebra, we can combine like terms. Like terms are terms that contain the same variables to the same power. Here, -2x and +8x are like terms. When we combine them, we get 6x. The constants +8 and +11 are also like terms and can be added together to get +19. So, the simplified expression is 6x - 6y + 19.

Finally, we check our answer to ensure it is reasonable. Combining like terms -2x and +8x should result in +6x, and adding constants +8 and +11 should give us +19, which is our simplified result, confirming the reasonableness of our simplification.

Express answer in exact form.

A segment of a circle has a 120 arc and a chord of 8in. Find the area of the segment.

Answers

Hello,
Please, see the attached file.
Thanks.

A shell fits into a golden rectangle with a length of 8 in. What is the shell's width? write your answer is simplified radical form and rounded to the nearest tenth of an inch.
Select one:
a. About 4.9 inches
b. About 4.1 inches
c. About 5.3 inches

Answers

For this case we have the following relationship:
 l / w = (1 + root (5)) / 2
 Where,
 l: length of the rectangle
 w: width of the rectangle
 Clearing the width we have:
 w = (2 / (1 + root (5))) * (l)
 Substituting values:
 w = (2 / (1 + root (5))) * (8)
 Rewriting:
 w = 4.94427191 inches
 Rounding off we have:
 w = 4.9 inches
 Answer:
 
the shell's width is:
 
w = 4.9 inches
 
a. About 4.9 inches

The correct answer is option(a) about 4.9 inches.

To find the width of a golden rectangle with a given length,  we will use the golden ratio formula  that is

l / w = (1 + √5) / 2

Where, l = length of rectangle &  w = width of rectangle

By applying the above formula we get  the golden ratio, which is ≈ 1.618.

The formula for a golden rectangle is length(l) = 1.618 × width.

Given that length is 8 inches, we set up the equation:

8 = 1.618 × width

Solving for width:

width = 8 / 1.618 = 4.948...

The simplified radical form of 4.948... is ≈ 4.9 inches.

Thus, the correct answer is about 4.9 inches or option (a).

HELP!! PLEASE, 19 POINTS!! The equation (X squared + Y squared - 6x + 4y = d) describes a circle.

1. Determine the Y-coordinate of the center of the circle. (Hint.... Complete the square)
2. The radius of the circle is 6 units. What is the value of "d" in the given equation?

Answers

we have  that

x²-6x+y²+4y=d
Group terms that contain the same variable
(x²-6x)+(y²+4y)=d
Complete the square twice. Remember to balance the equation by adding the same constants to each side
(x²-6x+9)+(y²+4y+4)=d+9+4

Rewrite as perfect squares

(x-3)²+(y+2)²=d+13

the center of a circle is (3,-2)
the radius r²=d+13---------> 6²=d+13---------> d=36-13------> d=23

the answer is
the Y-coordinate of the center of the circle is -2
d is equal to 23
Part 1:
 
For this case we have the following equation:
 x ^ 2 + y ^ 2 - 6x + 4y = d
 By completing squares we have:
 x ^ 2 + y ^ 2 - 6x + 4y + (-6/2) ^ 2 + (4/2) ^ 2 = d + (-6/2) ^ 2 + (4/2) ^ 2
 Rewriting we have:
 x ^ 2 + y ^ 2 - 6x + 4y + (-3) ^ 2 + (2) ^ 2 = d + (-3) ^ 2 + (2) ^ 2
 x ^ 2 + y ^ 2 - 6x + 4y + 9 + 4 = d + 9 + 4
 (x ^ 2 - 6x + 9) + (y ^ 2 + 4y + 4) = d + 13
 (x-3) ^ 2 + (y + 2) ^ 2 = d + 13
 Answer:
 
The y coordinate of the center of the circle is:
 
y = -2
 Part 2:
 For the value of d we have:
 d + 13 = 6
 d = 6 - 13
 d = -7
 Answer:
 
The value of d is:
 
d = -7
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