how do you determine when a counting problem involves a permutation or a combination?

Answers

Answer 1
The difference between combinations and permutations is ordering. With permutations we care about the order of the elements, whereas with combinations we don't. For example, say your locker “combo” is 5432. If you enter 4325 into your locker it won't open because it is a different ordering (aka permutation).
(On google)

Related Questions

help will give brainliest

Answers

Answer:

-10+4=-6

Step-by-step explanation:

-6 + -4= -10
Hope this helps!

which of the following must describe an irrational number? (1pt) a number with a nonterminating decimal expansion a number with a non repeating decimal expansion a number with a repeating or terminating decimal expansion a number with a non repeating and non terminating decimal expansion.

Answers

Answer:

a number with a non repeating and non terminating decimal expansion.

Step-by-step explanation:

Irrational numbers are numbers which cannot be expressed as fractions, they are real numbers which cannot be expressed as rational numbers such as the square root of natural numbers other than perfect squares.

Irrational numbers are non repeating, non terminating decimal numbers with no group of the digits repeated. Therefore the decimal expansion does not terminate but continues without repetition example is π.

write 7*7*7 in standard form

Answers

Answer:

Step-by-step explanation:

343

Answer:

7^3

Step-by-step explanation:

7 to the power of 3. Because there are 3, 7's so you are multiplying 7 3 times

Express (-3 - i) - (5 + 3i) in the form of a + ib.

Answers

Answer:

Step-by-step explanation:

=-3-i-5-3i

=-8-4i

Total hours worked for Hans Zupp is ___ .

a ) 40 hours 15 minutes
b ) 42 hours 35 minutes
c ) 44 hours 15 minutes
d ) 46 hours 15 minutes

Answers

Answer:

Option (D)

Step-by-step explanation:

Total hours worked of Monday= 4:45 hours + 5:00 hours = 9:45 hours

Total hours worked of Tuesday= 4:45 hours + 4:45 hours = 9:30 hours

Total hours worked of Wednesday= 4:30 hours + 4:30 hours = 9:00 hours

Total hours worked of Thursday= 4:45 hours + 4:15 hours = 9:00 hours

Total hours worked of Friday= 4:45 hours + 4:15 hours = 9:00 hours

Total hours worked = 9:45 + 9:30 + 9:00 + 9:00 + 9:00

                                 = 46:15 hours

                                 ≈ 46 hours 15 minutes

Option (D) will be the answer.

Find the nth Taylor polynomial for the function, centered at c. f(x) = ln(x), n = 4, c = 3 P4(x) =

Answers

Answer:

P₄(x) = ln3 + 1/3 (x-3) - 1/9*2! (x-3)² + 2/27*3! (x-3)³ - 2/27*4! (x - 3)⁴

Step-by-step explanation:

Given:

f(x) = ln(x)

n = 4

c = 3

To find:

nth Taylor polynomial for the function, centered at c

Solution:

The Taylor series for f(x) = ln x centered at 3 is:

[tex]P_{n}(x) = f(c) + \frac{f'(c)}{1!}(x-c)+\frac{f''(c)}{2!}(x-c)^{2} +\frac{f'''(c)}{3!}(x-c)^{3}+...+\frac{f^{n} (c)}{n!}(x-c)^{n}[/tex]

Since c = 3 So,

[tex]P_{4}(x) = f(3) + \frac{f'(3)}{1!}(x-3)+\frac{f''(3)}{2!}(x-3)^{2} +\frac{f'''(3)}{3!}(x-3)^{3}+...+\frac{f^{n} (3)}{n!}(x-3)^{n}[/tex]

Now

f(3) = ln 3

f'(x) = 1/x ⇒ f'(3) = 1/3

f''(x) = -1/x² ⇒ f''(3) = -1/3² = -1/9

f'''(x) = 2/x³  ⇒ f'''(3) = 2/3³ = 2/27

f[tex]^{(4)}[/tex] (x) = -6/x⁴ ⇒ f[tex]^{(4)}[/tex] (3) = -6/3⁴ = -6/81 = - 2/27

So Taylor polynomial for n=4 is:

P₄(x) = ln3 + 1/3 (x-3) - 1/9*2! (x-3)² + 2/27*3! (x-3)³ - 2/27*4! (x - 3)⁴

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (XY) be the unknown endpoint. Apply the midpoint formula, and solve the two equations for x and y)
midpoint (5. - 12), endpoint (4-7)
The other endpoint is
(Type an ordered pair)

Answers

Answer:

(6, -17)

Step-by-step explanation:

Given the coordinate of a midpoint, (5, -12), and one endpoint, (4, -7), the other endpoint can be determined as follows:

The midpoint formula is given as [tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex].

Since we are given ordered pairs of the midpoint and one endpoint, we would find the other ordered pair of the endpoint as shown below.

Let the other endpoint be [tex] (x_1, y_1) [/tex]

Midpoint = M(5, -12)

Let the given endpoint = [tex] (4, -7) = (x_2, y_2) [/tex]

Thus:

[tex] M(5, -12) = (\frac{x_1 + 4}{2}, \frac{y_1 +(-7)}{2}) [/tex]

Rewrite the equation to find the coordinates of the other endpoints

[tex] 5 = \frac{x_1 + 4}{2} [/tex] and [tex] -12 = \frac{y_1 - 7}{2} [/tex]

Solve for each:

[tex] 5 = \frac{x_1 + 4}{2} [/tex]

[tex] 5*2 = \frac{x_1 + 4}{2}*2 [/tex]

[tex] 10 = x_1 + 4 [/tex]

[tex] 10 - 4 = x_1 + 4 - 4 [/tex]

[tex] 6 = x_1 [/tex]

[tex] x_1 = 6 [/tex]

[tex] -12 = \frac{y_1 - 7}{2} [/tex]

[tex] -12*2 = \frac{y_1 - 7}{2}*2 [/tex]

[tex] -24 = y_1 - 7 [/tex]

[tex] -24 + 7 = y_1 - 7 + 7 [/tex]

[tex] -17 = y_1 [/tex]

[tex] y_1 = -17 [/tex]

Ordered pair of the other endpoint is (6, -17)

Question 1 (1 point)
Find the volume of a cube whose side length is 2.5 feet.
Volume
3
S
side 3
Answer:

Answers

Answer:

v=15.625ft³ or 15.63ft³

Step-by-step explanation:

v=s³

v=2.5³

v=15.625

round off to the nearest hundredth

v=15.63ft³

PLEASE HELP AS QUICKLY AS POSSIBLE THANK YOU :)​

Answers

Answer:

106

Step-by-step explanation:

The area of one of the triangles is 1/2*5*3

The area is 7.5, but there are 2 triangles so the combined area is 15

The area for whole rectangle is 7*(5+3+5)=7*13=91

So the total area is 91+15= 106

The answer to this equation is 106 if you see the area and combined it together you’ll get your answer plus adding as well.

Point P is on line segment OQ. Given OP = 14 and OQ = 16, determine the
length PQ

Answers

Answer:

PQ = 2

Step-by-step explanation:

We know that OQ = OP + PQ. Since OQ = 16 and OP = 14, we know that 16 = 14 + PQ, therefore, PQ = 2.

What is the correct reason for statement 3?

Answers

We can answer this question if you add the question into here, no question was added.

How many subsets are there of the set N = {1, 42, 65, 12, 31, 27}?

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{64}}}}}[/tex]

Step-by-step explanation:

If ' n ' is the cardinal number of a set, the number of subsets of a given set can be obtained by using the formula 2

Given,

N = { 1 , 42 , 65 , 12 , 31 , 27 }

where n ( total number of elements ) = 6

So, the number of possible subsets of set N :

= 2ⁿ

= 2⁶

= 2 × 2 × 2 × 2 × 2 × 2

= 64

Hope I helped!

Best regards!!

Find the distance between X (5, 7) and Y (-6, 6).
Round answer to the nearest tenth.

Answers

Answer:  11.0  or 11

Step-by-step explanation:

To find the distance first find the difference between the coordinates. find the change in the x and y coordinates and square them to add them to get a number and find the square root of that same number to find the distance.

x coordinates:   5-(-6)= 11

y coordinate:  7-6 =  -1  

Now square them

11^2 + 1^2 = l^2    where l is the distance

121 + 1 = l^2

 122 =l^2

 l =  [tex]\sqrt{122}[/tex]

  l  =  11.045   Rounded to the nearest tenth is 11.0

Evaluate the expression (7+6i)−(−9−8i) and write the result in the form a+bi.

Answers

Remove the parentheses and combine the like terms:

7 - -9 = 7+ 9 = 16

6i - -8i = 6i +8i = 14i

The answer is 16 + 14i

Which operation would be completed second in the following expression?
33 + 11-10-2x4
simplify the exponent
add
divide
multiply

Answers

Answer:

I THINK IT WILL BE HELPFUL

Solve the following math problem. Show your work.

My mom gave me 25 cents. I shared 10 cents with my brother. How much money do I have left?

Answers

Answer:

15

Step-by-step explanation:

25-10=15

You take out 10 cents and u have 15 left

3x^2+11x+6 in factor form

Answers

Answer: (3x+2)(x+3)

Step-by-step explanation: Factor by grouping.

I hope this helps you out.

Answer:

[tex](3x+2)(x+3)[/tex]

Step-by-step explanation:

[tex]3x^{2} +11x+6[/tex]

Let's factor.

[tex]3x^{2}+11x+6[/tex]

This equals

[tex](3x+2)(x+3)[/tex]

Now you got your answer!

Hope this helps!

Parallel lines /////////////

Answers

Answer:

38°

Step-by-step explanation:

∠4=∠2

∠2=∠6

∠6=38°

So ∠4=38°

Answer:

The answer is 38°

Step-by-step explanation:

When both lines are parallel, their vertical opposite angles will be the same. So ∠4 = 38°.

Point C is the midpoint of a segment AB . What are the coordinates of point B, if: A(–1, 3), C( 1, –1)

Answers

Answer:

(3,-5)

Step-by-step explanation:

To find the x coordinate of the  midpoint, add the  x coordinates together and divide by 2

The x coordinate is

(x1+x2)/2

We know one point and the midpoint

( -1+x)/2 = 1

Multiply by 2

-1 +x = 2

Add 1

x =2+1

x=3

To find the y coordinate of the midpoint, add the  y coordinates together and divide by 2

The y coordinate is

(y1+y2)/2

We know one point and the midpoint

(3+y)/2 = -1

Multiply by 2

3+y = -2

Subtract 3

y = -2-3

y =-5

The other endpoint is (3,-5)

Answer:

B(3, -5)

Step-by-step explantion

We know that these formulas can be used to find the mid point between 2 points on a graph

[tex]\frac{a_{1} +b_{1}}{2}= c_{1}\\ \frac{a_{2} +b_{2}}{2} =c_{2}[/tex]

Now we plot these points in

A(-1, 3), C(1, -1)

[tex]\frac{-1+b_{1}}{2} =1 \\\frac{3+b_{2}}{2} =1[/tex]

And we can find that

[tex]b_{1}= 3\\b_{2}=-5[/tex]

Therefore we get the answer of (3, -5)

Hope that helped you with your problem!! :)

4) half of 14
thank u

Answers

Answer:

7

Step-by-step explanation:

:)

it's so easy :))))))))

Answer:

Half of 14 is 7

Step-by-step explanation:

how many kilometres are there in 1 metre​

Answers

Answer:

0.001km

1km is 1000m

So, 1m is 1m divided by 1000km

Which gives 0.001km

There are 0.001 kilometres in 1 metre.

1000 metre =1 kilometre

1 metre=1/1000 kilometre

how much time with it take for 450 to yield 81 as interest at 4.5 per annum of simple interesst

Answers

Answer:

  4 years

Step-by-step explanation:

The formula for simple interest is useful here.

  I = Prt

where P is the principal invested at rate r for t years.

Fill in the given values and solve for t:

  81 = 450×0.045×t

  81/20.25 = t = 4

It will take 4 years for 450 to yield 81.

According to a recent pol, 29 % of adults in a certain area have high levels of cholesterol. They report that such elevated levels "could be financially devastating to the regions healthcare system" and are a major concern to health insurance providers. Assume the standard deviation from the recent studies is accurate and known. According to recent studies, cholesterol levels in healthy adults from the area average about 205 mg/dL, with a standard deviation of about 25 mg/dL, and are roughly Normally distributed. If the cholesterol levels of a sample of40 healthy adults from the region is taken,What is the probability that the mean cholesterol level of the sample will be between 200 and 210

Answers

Answer:

Step-by-step explanation:

The mean value μ = 205  , standard deviation of population σ = 25

no of people n = 40

standard deviation of sample of 40 people = σ / √n

σ₁ = 25 / √ 40 = 3.95

probability between 200 and 205

P ( 200 < X < 205 ) = P ( Z= (210 - 205)  / 3.95  -  P ( Z= (200 - 205)  / 3.95

= P ( Z = + 1.26 ) - P ( - 1.26 )

= .8962 - .1038

= .7924

Probability is 79.24 % .

One serving of a certain brand of yogurt contains 7g of fat. The​ low-fat version contains ​38.25% less fat per serving. How many grams of fat does one serving the​ low-fat yogurt​ contain?

Answers

Answer:

7g-100%

x-38,25

38,25*7:100=2,6775g

7g-2,6775g=4,4325g

Step-by-step explanation:

which of the folowing has a value that is less than zero.

a.) (-6)2

Answers

Answer:

the answer is the letter A

Answer:

A

Step-by-step explanation:

It's A because -6 * 2 equals -12 which is less than zero

Write the equation of a line with a slope of 3 and passing through the point (-5, -7).
Show steps please

Answers

Answer:

y = 3x +8

Step-by-step explanation:

[tex](-5 ,-7)=(x_1,y_1) \\m = 3\\[/tex]

Plug in values into point-slope form

[tex]y -y_1 =m(x-x_1)\\y - (-7) = 3(x - (-5))\\y +7 =3(x+5)\\y+7 =3x+15\\y = 3x +15-7\\y = 3x +8[/tex]

Expresa el siguiente número 14322000000000000 en notación científica *

Answers

Answer:

14322 * 10¹²

1.4322 * 10¹⁶

Step-by-step explanation:

14322000000000000

14322 * 10¹²

1.4322 * 10¹⁶

Express the quotient 36/12

Answers

Answer:

Step-by-step explanation:

36/12 = 3

12 x 3 = 36

The sum of two numbers is 48. The larger number is 7 less than four times the smaller number. Find the numbers.

Answers

Answer: x = 37 and y = 11

Explanation:

Let x be the bigger number
Let y be the smaller number

x + y = 48

But x is 7 less 4 times the smaller number.

=> x = 4y - 7
Substitute this value of x:

4y - 7 + y = 48
5y = 48 + 7
5y = 55
y = 11

Substitute the value of y in to the equation:

x + 11 = 48
x = 48 - 11
x = 37

Therefore, x = 37 and y = 11

Answer:

Larger number = 37

Smaller Number = 11

Step-by-step explanation:

Lets take x as the bigger number and y as the smaller number

x + y = 48

What do we know?

The larger number is 7 less than four times the smaller number

so 4y - 7 = x

Lets replace the equation obove with x

4y - 7 + y = 48

5y - 7 = 48

5y = 48 + 7

y = 55/5

y = 11

Then multiply 11 by 4 11 times 4 = 44 and subtract by 7 44 - 7 = 37

To recheck add 37  to 11 and u should get 48

what is the surface area means​

Answers

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape.

Answer:

that is the outsider part.of something

the sum of the areas of all the faces of a three dimension figure or in 3-D shapes

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