Suppose we choose7 objects without replacement from 9 objects

Answers

Answer 1

Answer:

181 440

Step-by-step explanation:

We have 9 choices for Choosing the first object

              8 choices for Choosing the 2nd object

              .

              .

              .

             3 choices for Choosing the seventh object

Therefore if we want to choose7 objects without replacement from 9 objects we have : 9×8×7×6×5×4×3 = 181 440

Also ,we can calculate it this way :

9P7 = 181 440


Related Questions

Simplify [2 x (10+5)] - 5

Answers

the answer is 25 because first we have to take care of the parentheses so 10+5 =15 then 2x15=30 then 30-5- 25 Simplified

Answer:

25

Step-by-step explanation:

[2 x (10+5)] - 5

[2 x (15)] - 5

[30] - 5

25

the graph of y = (x) is shown below

Answers

Answer:

Step-by-step explanation:

Solution

The question is a bit obscure. The best choice I think, would be A. F(x) could equal something like y = x - 3. When y = 0, x = 3 or put the other way, when x = 3 y= 0.

Find the area of the following figure.

300 cm2
312 cm2
252 cm2
400 cm2

Answers

Answer:

312cm2

Step-by-step explanation:

16*12=192

10*6/2=30

30*4=120

192+120=312

Solve the system of equations 3x - 2y = 8 x-2y = 4​

Answers

Answer: (2, -1), or x = 2 and y = -1

By graphing:

   We can solve by graphing. See attached.

-> The solution is the point of intersection. The lines intersect at (2, -1) which means x is equal to 2 and y is equal to -1.

By substituting:

   We can solve this by substituting. It means we will substitute one equation into the other, then solve for the variables.

3x - 2y = 8

x - 2y = 4​ -> x = 2y + 4

-

3x - 2y = 8

3(2y + 4) - 2y = 8

6y + 12 - 2y = 8

4y = -4

y = -1

-

x - 2y = 4​

x - 2(-1) = 4​

x + 2 = 4

x = 2

If P is directly proportional to Q. And Q = 30 when P = 40. Find Q when P = 70

Answers

Answer:

Q = 52.5

Step-by-step explanation:

given P is directly proportional to Q then the equation relating them is

P = kQ ← k is the constant of proportion

to find k use the condition Q = 30 when P = 40 , then

40 = 30k ( divide both sides by 30 )

[tex]\frac{40}{30}[/tex] = [tex]\frac{4}{3}[/tex] = k

P = [tex]\frac{4}{3}[/tex] Q ← equation of proportion

when P = 70 , then

70 = [tex]\frac{4}{3}[/tex] Q ( multiply both sides by 3 to clear the fraction )

210 = 4Q ( divide both sides by 4 )

52.5 = Q

Question: How many miles can we paddle in 1 hour at the Los Angeles river?

The river is going at 25 mph

and you are paddling at a consistent rate

Answers

Answer:

125 mph

Step-by-step explanation:

The river is going 25 mph every 20 minutes

[tex]20[/tex] [tex]minutes=25[/tex][tex]40[/tex] [tex]minutes=50[/tex][tex]60[/tex] [tex]minutes=75[/tex] [tex]80[/tex] [tex]minutes =100[/tex][tex]1[/tex] [tex]hour = 125[/tex]

Therefore we can paddle 125 miles at consistent rate.

Determine the exact value of sin 30° tan 45° + tan 30° sin 60⁰​

Answers

Answer:

1.

Step-by-step explanation:

1) if sin30=0.5; tan45=1; tan30=1/√3; sin60=√3/2, then

2) 0.5+0.5=1.

Here is the answer. Hope this helps!

What is the simplest form of
X^4 y^7/ 3sqrt x^10 y^4

Answer is D

Answers

Answer: The answer is Undefined (a/0)

I put a screenshot of how i got that answer

Answer: She's right, it is d

Step-by-step explanation:

What is the median of the set of data?

{131, 154, 204, 244, 244, 276, 263, 289, 288, 274, 207}

Enter your answer in the box.

Answers

207 that’s the correct awnser
the median of the set of data is 244

Avani misses 5% of the free throws she attempts in a season. How many total free throws did she attempt if she missed 4?

Answers

Answer:

She had a total of 80 throws.

Step-by-step explanation:

4x20 (20x5%=100%) = 80, so she had 80 throws.

A. 23.7
B. 11.2
C. 9.5
D. 57.3
E. 30.0
F. 6.0

Answers

Answer:

c.9.5

Step-by-step explanation:

im awesome so so very

What is 28 percent as a fraction?​

Answers

Answer:

28 as a fraction would be written as 56/2.

Step-by-step explanation:

The fraction can be written as 7/25.

Explanation:

Given Input Value = 28%

Place the Percentage Value at the top over 100. = 28/100

The given fraction is 28/100.

On reducing the fraction, we get the exact form 28/100. = 7/25

The exact form of the fraction is 7 /25.

8th grade distributive property equations and solutions ​

Answers

The value of x will be given as for the given expression X = -1

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division

2x  +  12  =  10

2x  =  10 - 12

2x  =  -2

x    =   -1

first you distribute 2 to x and 6 which equals 2x+12=10 then you subtract 12 from 10 which equals 2x=-2 then divide -2 by 2x to see what x equals so x=-1

To know more about Expression follow

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The function y = log(x) is translated 1 unit right and 2 units down. Which is the graph of the translated function?
please help​

Answers

Answer: [tex]y=\log(x-1)-2[/tex]

Graph the inequality x < - 10/3

Answers

Answer:

Picture Below :)

Step-by-step explanation:

*ta da*

- Have a great day -

john saves N$250 the first month and every two month later increases it by N$75.how much will john save in the 12th month?

Answers

Answer:

750

Step-by-step explanation

h(x) = (x2 − 49)(x + 4)

Answers

Answer:

h(x) = x³ + 4x² - 49x - 196

Step-by-step explanation:

h(x) = (x² - 49)(x + 4) <== distribute

h(x) = x²(x) - 49(x) + x²(4) - 49(4)

h(x) = x³ - 49x + 4x² - 196 <== rewrite in standard form (descending degrees)

h(x) = x³ + 4x² - 49x - 196

Hope this helps!

Scientists are tracking the population of a specific species of bird. They have determined that the function P(x) = 575 (1.025)x models the number of birds, P(x), after x years. Which of the following is true about the brid?

Answers

The following that is true about the bird is that it had been living long and happily and what is true is 30

Find the equation of the line using the point-slope formula. Write the final equation using the slope-intercept form. (x, y) = (−2, 10) and (x, y) = (4, −8) are points on the line

Answers

    ♪ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~  ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ♪

[tex]\textsc{heya!}[/tex]

☑︎  what we need to do:

find the equation of the line

☑︎ what we are provided with:

two points on this line

[tex]\textsc{solution:}[/tex]

equation: y=-3x+4

[tex]\textsc{explanation:}[/tex]

first, these are the points on our line:

• (-2, 10) • (4, -8)

what we need at this moment is the gradient (slope) of the line.

remember, there's a little formula that will help us find the gradient:

[tex]\large\text{$\displaystyle\frac{y_2-y_1}{x_2-x_1}$}[/tex]

our values are:

• (-2, 10) and (4, -8)

after substituting the values into the above formula, we obtain

[tex]\large\text{$\displaystyle\frac{-8-10}{4-(-2)}$}[/tex]

after simplifying, we obtain

[tex]\large\text{$\displaystyle\frac{-18}{4+2}$}[/tex]

simplifying more,

[tex]\large\text{$\displaystyle\frac{-18}{6}$}[/tex]

dividing,

[tex]\large\text{$-3$}[/tex]

but that's only part of our problem. we need to find the equation, and we have the gradient only.

let's use the first point in our equation

• (-2, 10)

[tex]\large\text{$y-y_1=m(x-x_1)$}[/tex]

m is the gradient.

this is what we obtain after substituting the values

[tex]\large\text{$y-10=-3(x-(-2)$}[/tex]

simplifying

[tex]\large\text{$y-10=-3(x+2)$}[/tex]

simplifying more

[tex]\large\text{$y-10=-3x-6$}[/tex]

moving 10 to the right side

[tex]\large\text{$y=-3x-6+10$}[/tex]

and finally

[tex]\large\text{$y=-3x+4$}[/tex]

[tex]\textsc{hopefully\:helpful}[/tex]

by:    • [tex]\textsc{$d^an_ci^ng$}[/tex]

[tex]\textsc{have\:a\:great\:rest\:of\:your\:day\:ahead!}[/tex]

           

What is the quotient?
-3/8 divided -1/4

Answers

Answer:

3/2    or   1.5

Step-by-step explanation:

(-3/8) ÷ (-1/4)

Copy dot flip

=(-3/8)* (-4/1)

=12/8

=3/2    or 1.5

exam tomorrow need help​

Answers

Answer:

See below ~

Step-by-step explanation:

The perimeter of a figure refers to the sum of the side lengths of its edges.

Figure (a) : Triangle

⇒ P = 2a + 1 + 3a + a - 4

⇒ P = 6a - 3

P = 3 (2a - 1)

Figure (b) : Hexagon

⇒ P = 3m - 1 + 3n + n + m + 3m + 1 + 4n + m + n + 2

⇒ P = 3m + m + 3m + m + 3n + n + 4n + n + 1 - 1 + 2

P = 8m + 9n + 2

Figure (c) : Trapezoid

⇒ P = 2a + 3 + 3a - b + 2a + 2b - 4 + b + 4

⇒ P = 2a + 3a + 2a + 2b + b - b + 4 - 4 + 3

P = 7a + 2b + 3

4.1 A bag contains 6 red, 4 green, 2 yellow and 3 blue balls. In each case, give the ratio (in simplest form) of the asked number of balls in the bag.( 4 ) 4.1.1 The number of red balls to the number of green balls.

Answers

The number of red balls to the number of green balls is 3 : 2

How to determine the ratio?

The distribution of the balls is given as:

6 red, 4 green, 2 yellow and 3 blue balls

The number of red balls to the number of green balls is represented as:

Ratio = Red : Green

So, we have:

Ratio = 6 : 4

Simplify

Ratio = 3 : 2

Hence, the number of red balls to the number of green balls is 3 : 2

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The points A(4, 3) and B(4, –5) are plotted on the coordinate plane. Rectangle ABCD has a perimeter of 30 units. If points C and D were plotted on the grid shown, what would their coordinates be if point C is below point D? Alt_text C: ( , ) D: ( , )

Answers

The possible coordinates of C and D are: C = (11,3) and D = (11,-5) or C = (-3,3) and D = (-3,-5)

How to determine the coordinates of C and D?

The given parameters are:

A = (4,3)

B = (4,-5)

Perimeter, P = 30 units

Since points A and B are on the same x-coordinate, then the distance between them is:

AB = 3 - - 5

AB = 8

The perimeter of the rectangle is calculated using:

P = 2 *(AB + CD)

This gives

2 * (8 + CD) = 30

Divide by 2

8 + CD = 15

Subtract 8 from both sides

CD = 7

This means that points C and D are 7 units from points A and B, respectively.

If A = (4,3) and B = (4,-5), then the possible coordinates of C and D are:

C = (11,3) and D = (11,-5) or C = (-3,3) and D = (-3,-5)

Read more about perimeter at:

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does anyone know the answer?

Answers

Answer: Choice A

40.61 square meters

==========================================================

Explanation:

The area of a full circle is

A = pi*r^2

meaning half of it (aka semicircle) will have this area

A = 0.5*pi*r^2

The diameter of the semicircle is 5.4 meters, which divides in half to get the radius of r = 2.7

The semicircle has an area of...

A = 0.5*pi*r^2

A = 0.5*3.14*(2.7)^2

A = 11.4453

which is approximate since pi = 3.14 is approximate.

Now compute the area of the triangle

area = base*height/2 = 5.4*10.8/2 = 29.16

Then add those sub-areas to get the grand total area.

semicircleArea + triangleArea = 11.4453+29.16 = 40.6053

That rounds to 40.61 which shows why choice A is the answer.

Sarah makes a red hair bow using 21 4/5 inches of ribbon. She makes a purple hair bow using 18 1/4 inches of ribbon.

How much more ribbon is used to make the red hair bow than the purple hair bow?

Answers

Answer:

91/20 or 4 11/20

Step-by-step explanation:

First, convert the 2 amounts into improper fractions

Red: 21 4/5 = 114/5

Purple: 18 1/4 = 73/4

Then, using cross multiplication, you can give them the same denominator

Red: 114/5 = 456/20

Purple: 73/4 = 365/20

Then just subtract the numerators and keep the denominator

456/20 - 365/20 = 91/20

So your answer is

91/20 or 4 11/20

A car rental company charges $120 plus $0.37 per mile, m. Which equation represents the total cost, c, of renting a car?​

Answers

Answer: 120 + 0.37m = c

Explanation: 120 is the cost of the renting so you just add that to the total amount. Next, since it is 0.37 PER mile, you will have to multiply and add 0.37 to each mile that the car is driven.

Marci needs to rent a storage. She needs to determine the volume of the storage unit. If the storage unit is 8 feet high, what is the volume of the storage unit

Answers

Okay. I’m not just going to flat out give you the answer, but I’m also gonna explain how to find the answer.

First off, you only need one side to determine volume.

Volume = length x width x height.

Currently we know: volume = ? x ? x 8ft

Lets make an inference that the the storage is completely symmetrical, all sides even. That’d leave us with: volume = 8 x 8 x 8 which is also 8^3. With that being said, the volume of the storage unit is 512.

the table represent a function? Why or why not?

A. Yes, because every x-value corresponds to exactly one y-value.
B. No, because the y-values are positive.
C. Yes, because there are different y-values.
D. No, because one x-value corresponds to two different y-values.

Answers

Answer:

D is the answer I'm pretty sure

Step-by-step explanation:

6 has to y values

Hello everyone!!
This is easy;
[tex] \frac{5x}{2} + \frac{9}{5} = 25[/tex]

Answers

[tex] \frac{5x}{2} + \frac{9}{5} = 25 \\ \frac{25x + 18}{10} = 25 \\ 25x + 18 = 250 \\ \frac{250 - 18}{25} = x \\ x = \frac{232}{25} [/tex]

hope it helps

Please refer to the attachment

What is the probability that a patient shows improvement
if it is known that the patient was given the drug?

Answers

Answer:

.3375

Explanation:

Total people who were given drug: 800

Total people who showed improvement: 270

Probability:

[tex]\boxed{ \sf \dfrac{favorable \ outcomes }{total \ possible \ outcomes}}[/tex]

insert values

[tex]\rightarrow \sf \dfrac{270}{800}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{27}{80}[/tex]

in decimals

[tex]\rightarrow \sf 0.3375[/tex]

Answer:

d)  .3375

Step-by-step explanation:

let E be the event : “the patient shows improvement”

    D be the event : “the patient was given the drug”

here we are in a conditional probability situation:

Let E/D be the event “a patient shows improvement ,if it is known that the patient was given the drug”

[tex]p\left( E|D\right) =\frac{p\left( E\cap D\right) }{p\left( D\right) }[/tex]

            [tex]=\frac{270}{800}[/tex]

            [tex]=0.3375[/tex]

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