Steve is 6 years older than Kim. Their ages total 22. How old is Steve ?

Stanley measured a county park and made a scale drawing. The picnic area, which is 120

algol [13]

Answer:

3

Step-by-step explanation:

6 0

3 years ago

QuizBIGPOINT

lianna [129]

The number of permutations of the problem is

This = 24
Outfit = 360

<h2>Combination</h2>

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Combinations are the number of ways to choose members from a certain number, namely from members of a set, combinations can also be interpreted as many ways to make subsets, namely with a certain number of members, namely from members of a set, if a set has n members then the selection of r members, and the combination of n is where r is less than n.

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<h3>The Formula : </h3>

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<h2>Permutation</h2>

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Permutations are a way to determine the number of arrangements that occur by paying attention to the order. So in permutations, position/order is very important, namely AB is considered different from BA (AB ≠ BA). Permutation formula

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<h3>The Formula :</h3>

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$\frac {n!}{k!}$ (With Double Elements)

n! (Without Double Elements)

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<h2>Factorial</h2>

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The factorial of a natural number is the successive multiplication of a natural number that begins with the number one and arrives at the natural number, the factorial is used in calculating combinations, probabilities, and permutations.

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<h3>For example</h3>

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》2! = 1 × 2
》3! = 1 x 2 x 3
》4! = 1 x 2 x 3 x 4
》5! = 1 x 2 x 3 x 4 x 5
》6! = 1 × 2 × 3 × 4 × 5 × 6
》7! = 1 × 2 × 3 × 4 × 5 × 6 × 7
》8! = 1 × 2 × 3 × 4 × 5 × 6 × 7 × 8
》9! = 1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 × 9
》10! = 1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 × 9 × 10

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The following is an example of a factorial that does not involve mixed arithmetic operations, so if you want to add it up we just need to calculate it like a normal number, a factorial number that only multiplies the difference between a factorial number that is added up by addition, subtraction, multiplication, division, for example see below.

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6! x2! - 3! : 4!

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The example above is a mixed arithmetic operation that contains multiplication, subtraction, and division. Remember that in mixed arithmetic operations, multiplication/division must be completed before addition/subtraction.

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<h3>The Formula : </h3>

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n! (Combined Multiplication)

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<h2>Place Filling Rules</h2>

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The Place Fill Rule is a method or method that can be used to determine the number of ways an object occupies its place. The filling slots rule is a method of calculating how many possible ways there are in an experiment or event. If a first event can be done in m different ways and the second event can be done in a different way and so on until the last event in k.

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<h3>The formula</h3>

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n1 × n2 × n3 × ... × nr

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<h2><u>Question</u></h2>

Find the number of permutations of letters of the word

- this

- outfit

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<h2><u>Answer</u></h2>

"Number One"

=》This = Four Letters ( 4! )

P = 4!

P = 1 × 2 × 3 × 4

P = 2 × 3 × 4

P = 6 × 4

P = 24

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"Number Two"

=》Outfit = Six Letters ( 6! )

=》Outfit = Two Letters The Same ( "T" ) = 2!

P = $\frac {1×2×3×4×5×6}{2×1}$

P = $\frac {2×3×4×5×6}{2}$

P = $\frac {6×4×5×6}{2}$

P = $\frac {24×5×6}{2}$

P = $\frac {120×6}{2}$

P = $\frac {720}{2}$

P = 360

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<h2><u>Conclusion</u></h2>

So, the number of permutations of the problem is

This = 24
Outfit = 360

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<h2>Learn More</h2>

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<h2>Answer Detail</h2>

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➽ Subject: Mathematics
➽ Class : 12
➽ Chapter : 7 - The Rule of Counting:
➽ Maple Code
➽ Categorization code : 12.2.7
➽ Keywords : This, Outfit

5 0

3 years ago

terry sold 178 tacos on tuesday from his taco stand. this was 23 more than 5 times the number of tacos he sold last tuesday. how

hjlf

Answer:

31 tacos

Step-by-step explanation:

(let t be the number of tacos last Tuesday)

178=23+5t

178-23

155=5t

155÷5

31=t

6 0

3 years ago

Read 2 more answers

Using Cramer's Rule, what is the value of x in the system of linear equations below?

Luden [163]

Answer:

0

Step-by-step explanation:

We find the determinant of a matrix by the method below. If we have a matrix:

$\left[\begin{array}{cc}a&b\\c&d\end{array}\right]$

The determinant is $ad-bc$

Now, using cramer's rule, we find x-value by the formula:

$x=\frac{D_x}{D}$

Where D is the determinant of the original problem and $D_x$ is the determinant of the x-value matrix. How do we get those?

<u><em>To get original matrix and thus D, we set up the matrix as the coefficients of x and y (s) of both the equations and to get matrix of x-value and thus $D_x$ , we replace the x values of the matrix with the numbers in the right hand side of the 2 equations.</em></u> We show this below:

<em />

$\left[\begin{array}{cc}3&4\\1&-6\end{array}\right] \\D=(3)(-6)-(1)(4)=-18-4=-22$

<em> $\left[\begin{array}{cc}12&4\\-18&-6\end{array}\right] \\D_x=(12)(-6)-(-18)(4)=0$ </em>

<em />

<em>Putting into the formula, we get:</em>

<em />

<em>Thus, the value of x is 0</em>

5 0

3 years ago

You must show all the steps for this problem. That means you must set-up the problem correctly step-by-step. Do not just write t

Nataly [62]

Answer:

Below in bold.

Step-by-step explanation:

cos x = adjacent side / hypotenuse

= 8/21

= 0.380952

So m < x = arccos 0.380952

= 67.607

= 68 degrees to nearest degree.

8 0

2 years ago