A manager at a store is holding a contest where the first, ninth, and ninetieth customers of the day will win a prize. 100 people visit the store that day. Three different friends visit the store that day. What is the probability that they are the first, ninth, and ninetieth customers of the day? Give your answer as a fraction in simplest form.

Answers

Answer 1

Answer: 1/970200

Step-by-step explanation:

This is a permutation problem, because the order matters.

There are 100! ways for the 100 customers to visit the store.

There are (100−3)!=97! ways for the three friends to be the first, ninth, and ninetieth customers


Related Questions

calculate: [ -26 (-26) ] + [ (7) x -0.89 ] = ????

Answers

Answer:

669.77

Step-by-step explanation:

First calculate -26*-26 which is 676
Then calculate 7*0.89 which is -6.23
Finally add the two results together which is 669.77

ma trận nghich đoa rlaf gì

Answers

Step-by-step explanation:

??? I don't understand pls? type on English

The United States Department of Agriculture reports that 14% of Americans are now on food stamps. If there are 340,000,000 Americans, how many are on food stamps?

Answers

Answer: 47600000

Step-by-step explanation:

340000000 * 0.14

= 47600000

The length of a rectangular garden is 8 feet longer than its width. The garden's perimeter is 188 feet. Find the width of the garden.

Answers

Answer:

44 Feet

Step-by-step explanation:

Trust me

Answer:

Width = 43 feet

Step-by-step explanation:

Given the 188-feet perimeter of a rectangular garden, for which its length is 8 feet longer than its width:

We can express the length of the rectangular garden as: 8 + W.

Hence, in order to solve for the length and the width of the rectangular garden, use the following formula for the perimeter of a rectangle:

Perimeter (P) = 2(L + W) or 2L + 2W = 188 feet

Length (L) = 8 + W

Width (W) = W

Substitute these values into the perimeter formula to solve for the value of the rectangular garden's dimensions:

P = 2L + 2W

188 feet = 2(8 + W) + 2W

Distribute 2 into the parenthesis, (8 + W):

188 = 16 + 2W + 2W

Combine like terms:

188 = 16 + 4W

Subtract 16 from both sides:

188 - 16 = 16 - 16 + 4W

172 = 4W

Divide both sides by 4 to solve for W:

[tex]\LARGE\mathsf{\frac{172}{4}\:=\:\frac{4W}{4}}[/tex]

W = 43

Therefore, the width of a rectangular garden is 43 feet.  

Since we determined that the length is 8 + W, then it means that the length of the rectangular garden is 51 feet.

Verify the dimensions:

Double-check whether we have the correct dimensions for the rectangular garden by substituting the length (L) = 51 feet, and the width (W) = 43 feet, into the perimeter formula:

P = 2L + 2W

188 feet = 2(51) + 2(43)

188 feet = 102 + 86

188 feet = 188 feet  (True statement). This means that we have the correct dimensions for the rectangular garden.

Answers:

Therefore, the width of a rectangular garden is 43 feet.  

Anna went to the playground at 4:05 P.M. She played on the slide for 30 minutes and the swings for 55 minutes, then went home. What time was it when Anna left the playground?

Include A.M. or P.M. in your answer (for example, 11:58 A.M.).​

Answers

Answer:

5:30 P.M.

Step-by-step explanation:

30 (slide) minutes and 55 (swings) minutes. These numbers (time-wise) total up to an hour and 25 minutes. Adding this to 4:05 P.M. would mean that she left the playground at 5:30 P.M.

Hope this helps.

It is 5:30 P.M when she left the playground

Find the missing angle

Answers

Answer:

x=33

Step-by-step explanation:

The sum of the angles of a triangle is 180

23+124+x = 180

147+x =180

x = 180-147

x =33

Answer: 33

Step-by-step explanation:

A triangle is equal to 180 degrees. So you add 124 and 23 to get 147. You would then subtract 180-147=33 and then you have your answer. Hope this helps!

Sophie has $4.20 worth of dimes and quarters. She has twice as many quarters as dimes. Find the total number of each coin.

Answers

Answer:

Sophie Has 7 Dimes, And 14 Quarters

Step-by-step explanation:

Sophie Had 7 Dimes, 7 Dimes, 7 Dimes!

Sophie Had 14 Quarters, 14 Quarters, 14 Quarters!

Sophie is Bill Nye's Daughter.

Please please help please help me help help me please help me

Answers

Step-by-step explanation:

-2 is x1

9 is y1

4 is X2

-1 is y2

m= -1-9/4-(-2)

-10/6 =-1.6

1. 63 is 90% of what number?
70

with double number lines-Super confused, please help!!

Answers

Answer:

70.

Step-by-step explanation:

Let x be the required number.

We are asked to find the number whose 90% equals to 63.

We can represent our given information in an equation as:

Now, we need to solve for x.

Therefore, 90% of 70 is 63.

x + 3
if f(x) =
=
9
Х
Find f"(x).

Answers

Answer:

-3/1-x

Step-by-step explanation:

the answer is up look at it

Find the measure of two complementary angles if the measure of one is 15 degrees more than twice the measure of the other

Answers

Answer:

25 and 65

Step-by-step explanation:

Let one of the angles be x.

So, the other angle is 15 + 2x

complementary angles add up to 90 degrees.

so, we have

x + 2x + 15 = 90

3x + 15 = 90

Subtract 15 from both sides

3x = 75

solve for x

x = 25

so, the angles are 25 and 65

2 complementary angles sum up to 90°.

Take one angle as 'x'. Then, the other angle will be '15 + 2x'.

15 + 2x + x = 90°

15 + 3x = 90°

3x = 90 - 15

3x = 75

x = 75/3

x = 25°.

Measure of 1st angle (x°) = 25°

Measure of 2nd angle (15 + 2x°) = 15 + 2*25 = 65°.

=》 The 2 complementary angles are 25° & 65°.

________

RainbowSalt2222 ☔

Last year, the school library had a total of x books. Over the summer, the library acquired another 36 books and now has a total of 2,284 books. Which
equation could be used to find x, the number of books the library had last year

Answers

Answer:

the last year the eschool has 2248 books

Step-by-step explanation:

2284-36=2248

Answer:

2,248=2,284-36b

Step-by-step explanation:

since the library acquired(added) 36 books the library now has a total of 2,284 books.

To find out how many books the library had before they added 36 books you need to set up a simple equation.

2,284-36=2248

since you now know that before summer the library had 2,248 books you would write an equation and when you solve it you should get 2,248. The equation should be 2,248=2,284-36b. b representing the total number of books that were added.

Hope this helped you!

graph F(x)= -3/4X + 6 plotting point​

Answers

Answer:

I'm not entirely sure whether is X is with 4 under the fraction or not, so I put up both graphs results.

First one: F(x) = -(3/4)X +6

Second graph: F(x) = -(3/4X) + 6

Please help hurry hurry hurry fast

Answers

For Question 6 it’s + 13 each time so add 13 to the number after
For Question 7 it’s -26 every time so subtract 26 from the number before

Which equation has a solution of r = 1/3

Answers

Answer:

Step-by-step explanation:

Any equation, for example 2r =2/3

Find the rate if a principal of $1,800 earned $378 interest in 6 years

Answers

Answer:

Interest rate (r ) = 0.035 or 3.5%

Step-by-step explanation:

Given the principal amount of $1,800, and an interest payment of $378 earned in 6 years:

Use the simple interest formula and algebraically solve for variable, interest rate, r :

I  =  P × r × t

Where:

I = interest payment = $378

P = principal amount = $1,800

t = time (in years) = 6

r = interest rate

Divide both sides by P × t to isolate r :

[tex]\displaytext\sf{\frac{I}{P\:\times\:t}\:=\:\frac{P\:\times\:r\:\times\:t}{P\:\times\:t}}[/tex]

[tex]\displaytext\sf{interest\:rate\:(r)\:=\:\frac{I}{P\:\times\:t}}[/tex]

Substitute the given values into the formula for the interest rate:

[tex]\displaytext\sf{interest\:rate\:(r)\:=\:\frac{378}{1800\:\times\:6}\:=\:\frac{378}{10800}}[/tex]

Interest rate (r ) = 0.035 or 3.5%

Therefore, the interest rate is 3.5%.

Help me pleaseeeeeee

Answers

Answer:

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Need help with 9 only

Answers

9514 1404 393

Answer:

  0, 4, 8

Step-by-step explanation:

As you have noticed, the difference between the end values of x is 20-4 = 16, and the differences in each interval are 4.

The difference between the end values of y is 12 -(-4) = 16, so the differences in each interval will also be 4.

The missing table values are 0, 4, 8. The completed table is ...

  [tex]\begin{array}{cccccc}x&4&8&12&16&20\\y&-4&0&4&8&12\end{array}\right][/tex]

Who answer this right gets 10 pts!​

Answers

Answer: 45 degrees angle

Which graph bet suits the following function?
[tex]y=(\frac{8}{9})^{x}[/tex]

Graph 1 - The x y-coordinate plane is given. The curve enters the window just above the x-axis, goes up and right becoming more steep, crosses the y-axis at y = 1, and exits the window at the approximate point (10, 3.2).

Graph 2 - The x y-coordinate plane is given. The curve enters the window just below the x-axis, goes down and right becoming more steep, crosses the y-axis at y = −1, and exits the window at the approximate point (10, −3.2).

Graph 3 - The x y-coordinate plane is given. The curve enters the window at the approximate point (−10, −3.2), goes up and right becoming less steep, crosses the y-axis at y = −1, and exits the window just below the x-axis.

Graph 4 - The x y-coordinate plane is given. The curve enters the window at the approximate point (−10, 3.2), goes down and right becoming less steep, crosses the y-axis at y = 1, and exits the window just above the x-axis.

Answers

Step-by-step explanation:

Graph 3 - The x y-coordinate plane is given. The curve enters the window at the approximate point (−10, −3.2), goes up and right becoming less steep, crosses the y-axis at y = −1, and exits the window just below the x-axis.

Rafael is building a fence around his garden. For every 3 feet of fencing, the cost is $18.
Complete the table below showing the length of the fence and the cost.

Answers

Answer:

4 = 30

7 = 42

8 = 48

10 = 60

Step-by-step explanation:

The first thing you'll want to do is find the price for 1 foot of fencing.

18/3 = 6, which means that 1 foot of fencing costs $6. Then, either multiply or divide the number given by 6 to find the blank number. Hope this helps!

Answer:

30/18 = 1.666666667 x 3

1. 5/30

7/5 = 1.4 x 30 = 42

2. 7/42

48/42 = 1.4285714286 x 7 = 8

3. 8/48

10/8 = 1.25 x 48 = 60

4. 10/60

Step-by-step explanation:

you can use a equavilent fractions or ratios calculator to make sure this is 100% correct.

Amy graphed a point to represent the absolute value of a number on a number line. If the original number is less than −10, describe all the possible values for the point Amy graphed on the number line.

Answers

Answer:

x>= 11 or x>10

Step-by-step explanation:

Absolute value can be used to represent the positive counterpart of a negative number. In this case, we are asked to find a number that is less than -10, meaning from -11 to negative infinity. Since we are asked to take absolute value, we would take |-11| which equals 11, and |-∞| = ∞.

So Amy graphed a value on the number line that is greater than or equal to 11, or any value greater than 10.

*Infinity is not a real number, it represents the largest number possible, which doesn't exist since numbers can continue on forever, so it can be disregarded.*

Jonah earns $3 an hour working after school and $4 an hour working on Saturdays. Last week he earned $43, working a total of 13 hours. How many hours did he work on Saturday?

Answers

Answer:x = amount of hours worked after school

y = amount of hours worked on saturday

x+%2B+y+=+13 or x+=+13+-+y

and

3x+%2B+4y+=+43

plug:

3%2813+-+y%29+%2B+4y+=+43

39+-+3y+%2B+4y+=+43

y+=+4

plug:

x+=+13+-+y

x+=+13+-+4+=+9

9 hours worked after school and 4 hours worked on saturday

Step-by-step explanation:

Examine the equation that follows. Fill in the missing pieces to create an
equation with no solution. Prove your reasoning.
-9y+ 7 = ?y + ?

Answers

Answer:

-9y + 7 = -9y + 6

Step-by-step explanation:

-9y + 7 = -9y + 6

Has no solution

add 9y to both sides

7 = 6 which is false

therefor no y exists that can result in a solution

you make an invesment of 1,000 that you are not allowed to cash in for 10 years. the value decreases by 10% each year. how much money will be left at the end of the 10 year term

Answers

Answer:

0

Hope I helped

Mr. Hansen baked 1,692 chocolate cookies he
package them into boxes of 36 cookies each how many boxes did he fill

Answers

Answer:

47 boxes

Step-by-step explanation:

Since each box has 36 cookies, we can divide the total number of cookies by 36 to find out how many boxes he could fill.

1692/36=47

1. Using what you know about similar triangles, find an equation for the line in the diagram. Find m (slope) and b (y-intercept) in the equation of the line: y = mx + b. Label your answers in decimal form if needed. m = b = 2. What is the slope of this line? Slope = 3. Is the point (9, 11) also on the line? (Type "YES" or "NO") 4. Is the point (100, 193) also on the line? (Type "YES" or "NO") 5. Is the point (20, 33) also on the line? (Type "YES" or "NO")

Answers

Answer: WHERE IS THE DIAGRAM

write an equation of the line below?

Answers

y=0.5x+2 is the equation of the line provided. 0.5 is the slope and 2 is the y-intercept.
Y=1/2x+2 because the y-intercept is 2 and your slope is 4/8 which is 1/2

Hey everyone! This questions is tricky for me so can anybody help me out?
I would be very grateful if you can! ​

Answers

g(x) = 2x^2

for g(- 4), you just plug in - 4 for x

g(- 4) = 2(- 4)^2

g(- 4) = 2(16)

g(- 4) = 32

Answer:

g(-4) = 32

Step-by-step explanation:

Given the quadratic function, g(x) = 2x², finding the output value given g(-4) involves substituting the value of the input, x = -4, into the function.

Solution:

g(x) = 2x²

g(-4) = 2(-4)² = 2(-4)(-4)

g(-4) = 2(16)  

g(-4) = 32

Therefore, g(-4) = 32.

If f(x) = x2 + 5, find f(-9).

Answers

Answer:

f(-9) = 86

Step-by-step explanation:

Hi there!

f(x) = x² + 5

To find f(-9), replace x with -9:

f(-9) = (-9)² + 5

f(-9) = 81 + 5

f(-9) = 86

I hope this helps!

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