How many unique three-letter sequences can be made from the word COMBINATORICS where no 2 letters can be the same?

Answer:

4m = 56

Step-by-step explanation:

4 * m = 56

4m = 56

4/4m = 56/4

m = 14

Given:

Volume = 80 cubic centimeters

The attached graph is provided below .

The slope is determined by dividing the change in price by the variation in the amount of deli meat. The magnitude means that there is a change of 3 units in the cost per each pound of change of deli meat.

A collection of points in the coordinate plane that are all solutions to the equation make up the graph of the linear equation.The equation can be graphed if each variable has a real value by plotting enough points on the graph to discern a pattern, then connecting those points to include all of the points.

The following linear equation represents the cost (x), measured in dollars, as a function of the amount of deli meat (y), measured in pounds:

y = 3x                     ..... (1)

The attached graph is provided below.

The required slope is determined by dividing the change in price by the variation in the amount of deli meat. The magnitude means that there is a change of 3 units in the cost per each pound of change of deli meat.

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Answer: 10

Step-by-step explanation: I think

Answer:

Step-by-step explanation:

Solution:

=6×6-6÷3

=36-6÷3

=30÷3

=10

Answer:

100,00

Step-by-step explanation:

In order to find this, you would divide 450,000,000 by 4500. You would then get the final answer of 100,000. Hope this helps!

Answer:

Yes because 59 is a whole number

Step-by-step explanation:

hope this helps

brainliest pls? :D

Answer:

Yes

Step-by-step explanation:

59 is an integer because it is a whole number and not a fraction.

Answer: 207^2 + 9km^2 = 216km^2

Step-by-step explanation:

(my explanation is wrong)

All you want to do is break this figure up into rectangles and triangles.

I see 3 rectangles and 1 triangle.

Three Rectangles:

The bottom one has the dimension of 5 and 20. 5 x 20 = 100 km^2

The middle one has the dimensions of 5+4 and 7. 9 x 7 = 63 km^2

The top one has the dimensions of 4 and 11. 4 x 11 = 44 km^2

Add them all up to get 207km^2

One Triangle:

We can see at the bottom rectangle that the left side is 5 and the right side is 3 + x. X being our missing height of the triangle. The height equals 2.

The triangle now has the dimensions of 2 and 6. 2 x 6 = 12. Then divide by 2 to get 6 km^2

Answer:

216 km²

Step-by-step explanation:

To solve this, you have to divide the figure into different parts.  I divided the parts up into four sections.  I will work on the parts in numerical order.

1.  At the top of the rectangle, it is marked 4 km. On the left side, it is marked 11 km.  This is the length and width.

A = lw

A = 11 × 4

A = 44 km²

2.  On the left side of this rectangle, it is marked 7 km.  At the top it is marked 5 km, but there is a portion that does not have a measurement (the part with a different color than the rest.  Because this line is also part of rectangle 1, we know that the line is 4 km.  Adding up the two numbers gives you 9 km.  

4 + 5 = 9

A = lw

A = 7 × 9

A = 63 km²

3.  On the left side, it is marked 5 km.  On the bottom, it is marked 20 km.

A = lw

A = 20 × 5

A = 100 km²

4.  This is one is a bit more tricky.  This is a triangle, so we have to find the base and the height.  The base is 6 km.  You have to figure the height.  Look at the picture with the red lines.  

The red line on the right side has a length of 17 + 3 + x = 20 + x.  The length is 20 + x because there is a portion of the line that is missing.

The red lines on the left side have a length of 5 + 7 + 11 = 23.  The two side should be equal so

23 = 20 + x

x = 3

Now, you have the height.  Use the equation for area of a triangle to solve.

A = 1/2bh

A = 1/2(3)(6)

A = 1/2(18)

A = 9 km²

Now you have to add up all the areas to find the total area.

44 km² + 63 km² + 100 km² + 9 km² = 216 km²

Answer:

Flip over y axis.

Step-by-step explanation:

rule of transformation

Answer:

A, Reflected

B, Rotated

C, Translated

Step-by-step explanation:

Answer:

0.0013 = 0.13% probability that no more than four out of fifteen people used an online travel website when they booked their hotel

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they booked the hotel using an online travel website, or they did not. Each person is independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

Suppose that the probability that a person books a hotel using an online travel website is 0.68.

This means that \(p = 0.68\)

Sample of fifteen:

This means that \(n = 15\)

What is the probability that no more than four out of fifteen people used an online travel website when they booked their hotel

\(P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)\)

So

\(P(X = 0) = C_{15,0}.(0.68)^{0}.(0.32)^{15} = 0\)

\(P(X = 1) = C_{15,1}.(0.68)^{1}.(0.32)^{14} = 0\)

\(P(X = 2) = C_{15,2}.(0.68)^{2}.(0.32)^{13} = 0\)

\(P(X = 3) = C_{15,3}.(0.68)^{3}.(0.32)^{12} = 0.0002\)

\(P(X = 4) = C_{15,4}.(0.68)^{4}.(0.32)^{11} = 0.0011\)

\(P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0 + 0 + 0 + 0.0002 + 0.0011 = 0.0013\)

0.0013 = 0.13% probability that no more than four out of fifteen people used an online travel website when they booked their hotel

Answer:

x²-9x+14=0

Step-by-step explanation:

We can use Vieta's formula:

x²-(sum of roots)x+(product of roots)=0

x²-(2+7)x+(2×7)=0

x²-9x+14=0

Answer:

75%

Step-by-step explanation:

Atleast 4000 means 4000 and above. so, from lower quartile to maximum = 75%

Answer:

25% is the correct answer..

Step-by-step explanation:

4000 lies on the lower quartile of the box plot. Lower quartile shows 25 percent

The rest wavelength of the emission line observed at 2148 nanometers in the galaxy 100 million light-years away is approximately 2103 nanometers.

The rest wavelength of an emission line can be determined by applying the concept of redshift, which is a phenomenon observed in astrophysics where light from distant objects is shifted towards longer wavelengths due to the expansion of the universe.

In this case, the emission line is observed at 2148 nanometers (or 2.148 micrometers) in a galaxy located 100 million light-years away. To calculate the rest wavelength, we need to consider the redshift factor. Redshift, denoted by z, is defined as the observed wavelength divided by the rest wavelength minus 1.

Given that the observed wavelength is 2.148 micrometers and the galaxy is located 100 million light-years away, we need to convert the distance into a redshift factor using the cosmological relationship between redshift and distance. Assuming a standard cosmological model, we can use the Hubble constant to estimate the redshift.

The Hubble constant represents the rate at which the universe is expanding. Taking a typical value of the Hubble constant as 70 kilometers per second per megaparsec, we find that the redshift factor, z, is approximately 0.021.

To determine the rest wavelength, we rearrange the redshift equation as \((observed wavelength) = (1 + z) \times (rest wavelength)\). Substituting the values, we get \((2.148 micrometers) = (1 + 0.021) \times (rest wavelength).\)

Simplifying the equation, we find the rest wavelength to be approximately 2.103 micrometers or 2103 nanometers.

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Answer:

The answer toy our problem is, The maximum number of days by which the completion of work can be delayed is 15.

Step-by-step explanation:

We are given that the penalty amount paid by the construction company from the first day as sequence, 4000, 5000, 6000, ‘ and so on ‘. The company can pay 165000 as penalty for this delay at maximum that is

 \(S_{n}\)​ = 165000.

Let us find the amount as arithmetic series as follows:

4000 + 5000 + 6000

The arithmetic series being, first term is \(a_{1}\) = 4000, second term is \(a_{2}\) = 5000.

We would have to find our common difference ‘ d ‘ by subtracting the first term from the second term as shown below:

\(d = a_{2} - a_{1} = 5000 - 4000 = 1000\)

The sum of the arithmetic series with our first term ‘ a ‘ which the common difference being, \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\) ( ‘ d ‘ being the difference. )

Next we can substitute a = 4000, d = 1000 and \(S_{n}\) = 165000 in “ \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\) “ which can be represented as:

Determining, \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\)

⇒ 165000 = \(\frac{n}{2}\) [( 2 x 4000 ) + ( n - 1 ) 1000 ]

⇒ 2 x 165000 = n(8000 + 1000n - 1000 )

⇒ 330000 = n(7000 + 1000n)

⇒ 330000 = 7000n + \(1000n^2\)

⇒ \(1000n^2\) + 7000n - 330000 = 0

⇒ \(1000n^2\) ( \(n^2\) + 7n - 330 ) = 0

⇒  \(n^2\) + 7n - 330 = 0

⇒ \(n^2\) + 22n - 15n - 330 = 0

⇒ n( n + 22 ) - 15 ( n + 22 ) = 0

⇒ ( n + 22 )( n - 15 ) = 0

⇒ n = -22, n = 15

We need to ‘ forget ‘ the negative value of ‘ n ‘ which will represent number of days delayed, therefore, we get n=15.

Thus the answer to your problem is, The maximum number of days by which the completion of work can be delayed is 15.

Solution is in the attachment!! :)

a. Assuming no additional restrictions, there are  800 possible three-digit area codes.

b. Considering ERCs, there are  80 ERCs.

c. For the seven digits after the area code, there are \(8 \times 10^6 = 8,000,000\)  possible seven-digit phone numbers.

d. Assuming only the 0 and 1 restrictions from parts a and c, the number of possible ten-digit phone numbers is 800 \(\times\) 8,000,000 = 6,400,000,000.

a. For three-digit area codes, the first digit cannot be 0 or 1.

Assuming no additional restrictions, there are 8 possibilities for the first digit (2-9) and 10 possibilities for each of the remaining two digits (0-9). Therefore, the total number of three-digit area codes possible under this plan is \(8 \times 10 \times 10 = 800.\)

b. For an ERC (Easily Recognizable Code), the second and third digits of the area code must be the same, and the first digit cannot be 0 or 1. There are 8 possibilities for the first digit (2-9) and 10 possibilities for the third digit (0-9).

Since the second digit must be the same as the third digit, there is only 1 possibility.

Therefore, the total number of ERCs is \(8 \times 1 \times 10 = 80.\)

c. For the seven digits after the area code, the first digit of the three-digit local prefix cannot be 0 or 1.

There are 8 possibilities for the first digit (2-9) and 10 possibilities for each of the remaining six digits (0-9).

Therefore, the total number of seven-digit phone numbers possible is 8 * \(10\times 10 \times 10 \times 10 \times 10 \times 10 = 8,000,000.\)

d. Assuming only the 0 and 1 restrictions from parts a and c, the number of possible ten-digit phone numbers can be calculated by multiplying the number of possibilities for each digit position.

For the area code (part a), there are 800 possibilities.

For the seven digits after the area code (part c), there are 8,000,000 possibilities.

Therefore, the total number of ten-digit phone numbers possible is 800 * 8,000,000 = 6,400,000,000.

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(a) The errors made by the student are:

Incorrectly expanding 49(2) as 24 instead of 98.

Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of

\(y^{2} - 9y + 8.\)

(b) The exact solution to the equation is x = 7/11.

(a) The student made two errors in their solution:

Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.

Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)

(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:

Starting with the original equation: \(22x + 4 - 9(2) = 0\)

Simplifying: 22x + 4 - 18 = 0

Combining like terms: 22x - 14 = 0

Adding 14 to both sides: 22x = 14

Dividing both sides by 22: x = 14/22

Simplifying the fraction: x = 7/11

Therefore, the exact solution to the equation is x = 7/11.

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Answer:

$4799 every month

Step-by-step explanation:

57588 divided by 12 is 4799 (OMG)

(please mark me brainliest, that would be most appreciated!)

Answer:

I got $3,965.67 a month.

Step-by-step explanation:

Divide the total annual payment by the number of months in a year.

f(x) = 1/x and its derivative f '(x) = -1/x² are discontinuous only at x = 0; everywhere else it is defined and behaves nicely in the sense that f is

• continuous on the closed interval [1, 3], and

• differentiable on the open interval (1, 3)

and the MVT holds.

The theorem says there is some real number c between 1 and 3 such that

\(f'(c) = \dfrac{f(3) - f(1)}{3 - 1}\)

Solve for this c :

\(-\dfrac1{c^2} = \dfrac{\frac13-\frac11}{3 - 1} \implies c^2 = 3 \implies \boxed{c = \sqrt3}\)

Answer:

When the equation is written in the slope-intercept form (y=mx+b) we can find the y-intercept by looking at the equation. The value of b is the y-intercept. This is because the y-intercept is when the x value equals 0. When x = 0, mx = 0, so when x = 0, y = b.

Step-by-step explanation:

trust the process

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Answer:

-5/16 or -0.3125

Step-by-step explanation:

Answer:

-11/12

Step-by-step explanation:

Fyi you can use the app photo math you just take a pic of the problem and it gives you the answer and explains the steps and it is free.

Since the calculated F-value of 7.098 is greater than the critical value of 5.79, we reject the null hypothesis and conclude that the population variance of total sales during active price competition is higher than during duopoly and tacit collusion at the 5% level of significance.

For the above issue, the null and alternate hypotheses are as follows:

The population variations of total sales under duopoly, active price competition, and tacit cooperation are all identical.

In contrast to duopoly and implicit collusion, total sales population variance is larger under active price competition.

To test the null  hypothesis, we must use a two-tailed F- test with a 5 % threshold of significance. The ratio of the sample variances is used to determine the F- statistic.

F = s1² / s2²

Where:
s1² - Sample Variance (Active price competition)

s2² -  SAmple variance (Duopoy and Tacit collusion)


Since n1-1 = 3
and n2-1 = 6

F = 114.09 / 16.08
F = 7.098

Having derived same, we know that the critical values of F for a two-tailed test with 3 and 6 degrees of freedom at 5% level of significance are:

Critical Value (3) = 5.14
Critical Value (6) = 5.79

Therefore, since the F-value > Critical Value in both cases, we must reject the null hypothesis.

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x=3.5 and y=2.5

First, combine the equations in such a way that you can eliminate a variable. Then solve for the variable. Insert this value into one of the original equations and solve for the unknown variable.

See details:

Answer:

YES

Step-by-step explanation:

For example, in the figure displayed in the attachment, the length of \( YM = MS + SY \)

\( MS = 3 \)

\( SY = 10 \)

Therefore, \( YM = 3 + 10 = 13 \).

The lengths of segments MS and SY sums up to give you the length of YM.

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 1200\\ P=\textit{original amount deposited}\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases}\)

\(1200 = P\left(1+\frac{0.07}{12}\right)^{12\cdot 15} \implies 1200=P\left( \frac{1207}{1200} \right)^{180} \\\\\\ \cfrac{1200}{ ~~ \left( \frac{1207}{1200} \right)^{180} ~~ }=P\implies 421.21\approx P\)

The simplified form of the expression 3 1/5x + 10 7/9 - 2 2/5x - 10 8/9 is 4/5x - 1/9.

To simplify the expression: 3 1/5x + 10 7/9 - 2 2/5x - 10 8/9, we need to perform the addition and subtraction of the terms.

First, let's focus on the x terms: 3 1/5x - 2 2/5x.

The whole numbers can be treated as fractions with a denominator of 1. Thus, we have:

(3 1/5)x - (2 2/5)x.

To perform the subtraction, we need to find a common denominator for the fractions involved, which is 5.

(3 1/5)x - (2 2/5)x = (16/5)x - (12/5)x.

Now we can subtract the terms:

(16/5)x - (12/5)x = (16 - 12)/5x.

Simplifying further:

4/5x.

Now let's simplify the whole number and fraction terms: 10 7/9 - 10 8/9.

10 - 10 = 0.

The fraction terms can be simplified by finding a common denominator, which is 9:

(7/9) - (8/9) = (-1/9).

Now we can combine all the simplified terms:

3 1/5x + 10 7/9 - 2 2/5x - 10 8/9

= (4/5x) + 0 + (-1/9)

= 4/5x - 1/9.

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9514 1404 393

Answer:

  E = (-14, 15)

Step-by-step explanation:

The midpoint relation is ...

  M = (D +E)/2

  2M = D +E . . . . multiply by 2

  E = 2M -D . . . . subtract D

  E = 2(-4, 8) -(6, 1) = (-8-6, 16 -1)

  E = (-14, 15)

Answer:

\(8.5x+4y=99.5,\ x+y=17\)

Step-by-step explanation:

\(\mathrm{System\ of\ equations:}\\8.5x+4y=99.5\\x+y=17\\\mathrm{where,}\ x\ \mathrm{is\ the\ number\ of\ popcorns\ and\ }y\mathrm{\is\ the\ number\ of\ candies}\)

Answer:

1. $1430

2. $930

3. $1070

4. 105

   96

  -20

  -76

  -560