What is a formula for the nth term of the given sequence?
2, 4, 8...
I need an answer by december 16, 8:00 am (PLEASE)

Answer:

9 1/6

Step-by-step explanation:

3 2/3 divided by 2/3

First convert 3 2/3 into a whole number

3 2/3 = 11/3

11/3 x 2/3 = 55/3

55/3 into a mixed number is 9 1/6

240 people can seat in a row without restriction in an arrangement.

A permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements. The word "permutation" also refers to the act or process of changing the linear order of an ordered set.

Permutations differ from combinations, which are selections of some members of a set regardless of order. For example, written as tuples, there are six permutations of the set {1, 2, 3}, namely (1, 2, 3), (1, 3, 2), (2, 1, 3), (2, 3, 1), (3, 1, 2), and (3, 2, 1). These are all the possible orderings of this three-element set. Anagrams of words whose letters are different are also permutations: the letters are already ordered in the original word, and the anagram is a reordering of the letters. The study of permutations of finite sets is an important topic in the fields of combinatorics and group theory.

According to the question:

Consider A and B being the people sitting next to each other, as one entity AB or BA.

There are now 5 entities (one of two persons A and B and five of one single person) that have to be placed in a row.

With AB, there are thus 5! possibilities. With BA, there are also 6! possibilities.

Considering both, there are thus 2× 5! = 240 ways to seat 6 people in a row of six seats if two people insist on sitting next to each other.

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Answer:

Step-by-step explanation:

The example that represents a proportional relationship is A. y = -x

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other.

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form of y = kx.

In the proportional relationship, the constant of proportionality k is equal to the slope m and the line passes through the origin

It should be noted that y = -x is a linear equation that passes through the origin.

In conclusion, the correct option is A.

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Answer:

if the first equation 3x - 3y = -2 is multiplication by 3

therefore, 3x - 3y = -2

multiplied by 3

:9x - 9y = -6

then the equations are added,

9x - 9y = -2 + 10x + 710x + 118x + 7

9x + 10x + 710x + 118x + 9y + 7

947x + 9y = 7

Answer:

Given,

Let's assume the maximum safe height of wall = h

angle formed between ladder and ground = 70°

length of ladder = 16 ft

From the given data, it can be seen that ladder will form a right angle triangle structure with the wall

So,from the concept of trigonometry,

Sin70^o\ =\ \dfrac{\textrm{maximum safe height of wall}}{\textrm{length of ladder}}Sin70

o

=

length of ladder

maximum safe height of wall

= > Sin70^o\ =\ \dfrac{h}{16\ ft}=>Sin70

o

=

16 ft

h

= > \ h\ =\ 16\times Sin70^o=> h = 16×Sin70

o

=> h = 16 x 0.9396

=> h = 15.03 ft

So, the maximum safe height that can be reached by the ladder will be 15.03 ft.

Here is the Correct asnwer.

The number of ways we can paint is g(nk)=1/n ∑d | n ϕ(d) ((k−1)^n/d +(−1)^n/d (k−1))

Given,

Whether your circle has named sectors (i.e., is fixed) or lacks labels will determine this (i.e. is free).

In the first scenario, inclusion-exclusion can be used to create sets Ai,j of colorings with adjacent sectors I and j having the same color. Next, generally

|Ai1,j1∩⋯∩Air,jr|={(k^n − r r<n) ( k r=n)

And inclusion-exclusion yields f(n, k), the number of sectors that are colored with k colors that are not related to any of Ai, j (i.e., do not have similar adjacent colors):

f(n, k) = ∑r = 0 n−1 (−1)^r (n, r) k^n - r + (−1)^n (n, n)k

And the result of adding and subtracting (1) is:

⟹f(n, k) = ∑r = 0 n−1 (−1)^r (n, r) k^n−r + (−1)^n (n, n)k = (k−1)^n + (−1)^n (k−1)

That is your response to the fixed circle.

Burnside's Lemma, which generates the cycle index of a combinatorial necklace, must be applied if you want the solution for a free circle (assuming the symmetries involved are merely rotations):

Z(Cn) = 1n∑d∣nϕ(d)an/dd

Then, n/d cycles with dN sectors in each cycle, an/dd permutations representing rotations of sectors, and (d) is the Euler Totient Function[4] are used.

Since each cycle must contain a single color from the n available options, we must swap out an/dd with f(n/d, k), resulting in a total of g(n, k) free colorings for n>1*:

g(n, k)=1/n ∑d∣n ϕ(d) ((k−1)^n/d +(−1)^n/d (k−1))

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Answer:

Ava is running faster than Maura.

Step-by-step explanation:

We are finding the speed in miles/minute.

6/75=0.08miles/minute

5/45=0.(1)miles/minute

0.(1)is greater than 0/08

Ava is running faster than Maura.

Answer:

1 1/3 or 4/3

Step-by-step explanation:

1/6 + 1/6 = 2/6

simplified, it would be 1/3 then you add the one, and you get 1 1/3 or (written as a mixed number,) 4/3

Answer:

2

Step-by-step explanation:

Since the denominator is the same, we can add the numerators.

11/6  +  1/6  =  12/6

We can simplify this to 2.

So, the answer is 2.

Answer:

r = 0

Step-by-step explanation:

the first thing you can do to solve this equation is to remove the parenthesis

2r + 4 = r + 4

now subtract 4 from both sides

2r = r

subtract 4 from both sides

r = 0

that is your answer

Answer:

x = 2.5

Step-by-step explanation:

Answer:

[tex]\boxed{\boxed{\tt x=5}}[/tex]

Step-by-step explanation:

[tex]\tt \cfrac{3x+4}{2}=9.5[/tex]

Multiply both sides by 2:-

[tex]\tt \cfrac{2\left(3x+4\right)}{2}=9.5\times\:2[/tex]

[tex]\tt 3x+4=19[/tex]

Subtract 4 from both sides:-

[tex]\tt 3x=15[/tex]

Divide both sides by 3:-

[tex]\tt \cfrac{3x}{3}=\cfrac{15}{3}[/tex]

[tex]\tt x=5[/tex]

__

Hope this helps you!

Have a nice day!

Answer:

The total length of the tree in the total of 19 years (including the first year) would be 210 inches.

Answer: 210in

Step-by-step explanation:

By using the concept of confidence interval, it can be concluded that-

To reduce confidence interval, it is needed to increase sample size.

Option c is correct

What is confidence interval?

Suppose there is an unknown parameter whose range of estimate is required. Confidence interval gives the range of estimate of this unknown parameter.

Formula for percentage confidence interval

[tex]\bar{x} \pm z_\frac{\alpha}{2} \times \frac{\sigma}{\sqrt{n}}[/tex]

We have to reduce the size of the confidence interval

Confidence interval has no effect on  mean, directly proportional to  standard deviation and inversely proportional to sample size

So to reduce confidence interval, it is needed to increase sample size.

Option c is correct

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Complete Question

After constructing a confidence interval estimate for a population mean, you believe that the interval is useless because it is too wide. in order to correct this problem, you need to:

Select one:

a. increase the population standard deviation

b. increase the level of confidence

c. increase the sample size

d. increase the sample mean

e. none of these would help

The measures of central tendency from the given stem-and-leaf plot are given as follows:

The stem-and-leaf plot shows the measures of the data-set, in which:

For example:

4|7 = 47.

Hence all the measures of the data-set are given as follows:

47, 51, 56, 57, 62, 63, 63, 66, 66, 68, 68, 70, 71, 73, 73, 73, 73, 76, 76, 77, 77, 79, 80, 81, 82, 83, 86, 88, 88, 90, 91, 93, 93, 97.

The mean is given by the sum of all scores divided by the number of scores, hence it is given as follows:

Mean = 74.62.

The median is the middle value of the data-set. The data-set has 34 elements, which is an even cardinality, hence the median is given by the mean of the 17th and of the 18th element, as follows:

Median = (73 + 76)/2 = 74.5.

The mode is the value that appears the most times in the data-set, which is of 73, as it is the only score to appear four times in the data-set.

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Answer:

Step-by-step explanation:

The thermometer relates with the rectangular coordinate system in the sense that both have

The idea behind how a thermometer works is that solids and liquids tend to expand as a function of temperature.

Mercury starts to rise when a thermometer lamp is submerged in a particular solution or material. On a temperature scale, this increase in mercury is investigated.

The mercury in the tube is similar to the y coordinate which gives the output while the object being measured  is similar to the x coordinate which is the input

The graduation in thermometers into units that rises and falls is a similar feature in the rectangular coordinate system

The functions from thermometer can be plotted on a graph in a rectangular coordinate system

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Answer:

  4x +6

Step-by-step explanation:

You want the simplified form of 6x -2(x -3).

Generally, the first step in simplifying an expression is elimination of parentheses. This is done using the distributive property.

  6x -2(x -3) = 6x -2x -2(-3) = 6x -2x +6

Then, like terms can be combined:

  6x -2x +6 = (6 -2)x +6 = 4x +6

The simplified expression is 4x +6.

__

Additional comment

We notice the terms have a common factor of 2, so we can use the distributive property to factor that out:

  = 2(2x +3)

This form may be useful in some circumstances, but is generally not considered to be the simplified form.

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Type I error is We conclude that the mean is not 34 years when it really is 34 years. The correct option to this question is C.

Rejecting the null hypothesis when it is in fact true is a Type I mistake. It entails drawing conclusions about outcomes that are statistically significant when, in fact, they were just the consequence of chance or unrelated causes.

The significance level you select (alpha or ) determines the likelihood that you will make this mistake. You determined that figure at the start of your research to determine the statistical likelihood of getting your results (p-value).

The typical significance level is 0.05 or 5%. If the null hypothesis is accurate, your results only have a 5% chance or less of occurring.

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The equation of the line in slope intercept form is y = 4/5 x.

For the stated question-

The given points are-

(x1, y1) = (5,4)

(x2, y2) = (10,8)

Slope m = (y2 -y1)/ (x2 - x1)

m = (8 - 4)/(10 - 5)

m = 4/5

Equation of the line;

y - y1 = m(x - x1)

y - 4 = 4/5 (x - 5)

y = 4/5 x - 4 + 4

y = 4/5 x

Thus, the equation of the line in slope intercept form is y = 4/5 x.

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Answer:

Step-by-step explanation:  

$519.35 + $35

The original price of the iPhone 13 is $554.35

Answer:

c) Multiplicative Identity

Step-by-step explanation:

Given equation,

→ c × 1 = c

Then the given equation shows,

→ Multiplicative Identity

(number × 1 = number)

Hence, the option (c) is correct.

Answer:

if he can run 1.5 miles in 12 min he can run 4 miles in 0.5

One sample mean t test is used to to check whether the true average is 59k.

Average:

In statistics, average means a mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

Given,

Here we need to find in what test can you use to check whether the true average is 59k.

While we looking into the given question we have identified the following details,

Number of students = 49

True average = 59k

Sample average = 44k

In this given situation, the perfectly suitable test is one sample t test,

Why we used this because of a statistical hypothesis test used to determine whether an unknown population mean is different from a specific value.

Suppose our student center published data that the average starting salary for college graduates is 59k. You randomly sampled 49 college graduates and calculated the sample average salary is 44k.

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the test's finding at the 5% level of significance is that the true average longevity is not less than claimed.

The following is a definition of the test's hypothesis:

H0: The actual average lifetime, which is > 750 hours, is not less than what is stated

Ha! The actual average lifespan, at 750 hours, is less than what is advertised.

The examination is left-tailed.

Making a decision:

The null hypothesis is rejected if the test's p-value is less than the significance level (), and vice versa.

The test's p-value is calculated as,

0.016 as the p-value

(a)

The level of significance is 0.05.

The p-value is equal to 0.016/0.05.

The null hypothesis was rejected since the test's p-value was lower than the threshold for significance.

Consequently, the test's finding at the 5% level of significance is that the genuine average lifetime is shorter than

(b)

The level of significance is = 0.01.

The p-value is equal to 0.016 > = 0.01.

The null hypothesis could not be rejected since the p-value of the test was greater than the level of significance.

Therefore, the test's finding at the 5% level of significance is that the true average longevity is not less than claimed.

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It will take 6 month to reach the same height for both maple tree and oak tree.

the country, region, or geographic area's yearly average rate of change in population size over a certain time period.

The given data is -

Let the number of months when both will have the same height be 'x'.

Thus,

For maple tree,the final height be-

125 + 3x

For oak tree,the final height be-

83 + 10x

Equating both

125 + 3x = 83 + 10x

7x = 125 - 83

7x = 42

x = 6 months

Thus, it will take 6 month to reach the same height for both maple tree and oak tree.

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The dimensions of the field that will allow for the maximum area are 200 meters by 400/3 meters

From the question, we have

Fencing available, Perimeter = 1600 meters

Number of sections, n = 3

Represent the dimensions with x and y

So, we have:

Area = Number of sections* x * y = 3xy

Perimeter = (Number of sections * 2x + 2(Number of sections) * y) = 6x + 4y

Recall that

Perimeter = 1600 meters

So, we have

6x + 4y = 1600

A = 3xy

Divide 6x + 4y = 1600 by 2

3x + 2y = 800

Make y the subject

y = (800 - 3x)/2

Substitute y = (800 - 3x)/2 in A = 3xy

A = 3x(800 - 3x)/2

So, we have

A = 1200x - 4.5x²

Differentiate and set to 0

1200 - 9x = 0

So, we have

9x = 1200

Divide by 9

x = 400/3

Recall that y = (800 - 3x)/2

So, we have

y = (800 - 3 x 400/3)/2

Evaluate

y = 200

Hence, the dimensions are 200 by 400/3

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The probability that a total of four tries will be necessary for both of you to get through is 0.1728.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty. A probability is a numerical representation of the possibility or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

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Answer:

−3 < −1

−3 ≤ −1

Step-by-step explanation:

Symbol explanation

A negative number is any number that is less than zero.

On the number line the negative numbers are to the left of the zero.

-3 is less than -1 because -3 lies to the left of -1 on the number line.

Therefore, the only given inequalities that are true statements are: