What comes next finish the pattern 6,1,8,4,2,7?

If the surface area of the stand to be 35 ft². The number of ropes purchase is 45.3125ft and  Percent of stand area is 83%.

Given:

Base area=3ft²

Height=3.2 feet

Surface area=35ft²

a. Number of ropes

Surface area=2×Base area×Base perimeter×Height

Base perimeter(BP):

35=2×3+BP×3.2

35=6+3.2BP

Collect like term

3.2BP=35-6

3.2BP=9

Divide both side by 3.2BP

BP=29/3.2

BP=9.0625ft

Number of ropes=5×9.0625ft

Nimber of ropes=45.3125ft

b. Percent of stand area:

Percent of stand area=(9.0625ft×3.2)÷35ft²

Percent of stand area=29ft²÷35ft²×100

Percent of stand area=82.857ft×100

Percent of stand area=83% (Approximately)

Therefore the number of ropes purchase is 45.3125ft and  Percent of stand area is 83%.

Learn more about Percent of stand area here:https://brainly.com/question/2639075

The 95 percent confidence interval is wider than the 90 percent confidence interval.

A confidence interval (CI) is a statistical measurement used to estimate the unknown parameter's true value. When calculating the CI, the researcher must determine the confidence level, which is frequently 90 percent or 95 percent. This implies that if the research were repeated several times, the true parameter would be found within the specified limits of the CI at least 90 percent or 95 percent of the time.

When constructing a confidence interval for a population parameter, the interval must account for both the level of confidence and the sample size. Wider intervals provide more assurance that the actual population parameter falls within the limits of the interval.

On the other hand, a narrower interval provides a more precise estimate of the population parameter but with a lower degree of assurance. A confidence level of 90 percent is more stringent than a confidence level of 95 percent. As a result, to achieve the same degree of assurance, a 90 percent confidence interval must be wider than a 95 percent confidence interval.

Know more about the confidence interval

https://brainly.com/question/20309162

#SPJ11

Answer: between 4 and 9 is

4 *9=36=6

If the standard deviation is 2 then the standard error of the mean is 0.8165   .

In the question ,

it is given that ,

the sample size of students taken from the classroom is(n) = 6 students ;

the mean height of students is = 70 inches ;

the standard deviation(S.D.) height of students is = 2 inches ;

the standard error of mean can be calculated using formula ;

S.E. = (S.D.)/√n

substituting the value of S.D. and sample size ,

we get ,

S.E. = 2/√6

= 0.816496

≈ 0.8165

Therefore , the Standard Error of the mean is 0.8165   .

Learn more about Standard Error here

https://brainly.com/question/2501218

#SPJ4

If a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is two

When a categorical variable that has n categories is to be included as an independent variable in a linear regression analysis, it must be converted to n - 1 dummy variables. The reason for this is that including all n categories as dummy variables would cause perfect multicollinearity in the regression analysis, making it impossible to estimate the effect of each variable.In this case, the set of categories {Red, Blue, Green, Yellow} has four categories. As a result, n - 1 = 3 dummy variables are required to represent this variable in a linear regression. This is true since each category is exclusive of the others, and we cannot assume that there is an inherent order to the categories.The dummy variable for the first category is included in the regression model by default, and the remaining n - 1 categories are represented by n - 1 dummy variables. As a result, the number of dummy variables that are required to represent the categorical variable in the regression model is n - 1.

Thus, if a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is two .

To know more about linear regression, click here

https://brainly.com/question/32505018

#SPJ11

Answer:

Perimeter of a polygon with 31 sides = (side length) x 31 = 279 units

Area of a polygon with 31 sides = (n x Side2 x cot (Π/n))/4 = (n x 92 x cot (Π/31))/4 = 6173.16 square units

Sum of the interior angles of a polygon with 31 sides = (n-2) x 180 degrees = (31-2) x 180 degrees = 5220 degrees

Interior Angle of a polygon with 31 sides = (n-2) x 180/n degrees = (31-2) x 180/31 degrees = 168.38 degrees

Exterior angle of a polygon with 31 sides = 180 - Interior Angle = 180 - 168.38 = 11.61 degrees

Inradius = Radius of In-circle = (side length) x cot (Π/31) = 9 x cot 5 = 88.5 units

Circumradius = Radius of Circum-circle = (side length) x cosec (Π/31) = 9 x cosec 5 degrees = 88.96 units

Symmetry Group = D31 31 rotational symmetries and 31 reflection symmetries. The "D" stands for di-hedral.

Step-by-step explanation:

here is your answer if you like my answer please follow

Answer:

\(x_1=2; x_2=-1\)

Step-by-step explanation:

The square term is \(x^2\) so we expect the complete square to be of the form \((x-a) ^2=x^2+2ax+a^2\).

Let's compare the first degree terms now: we have \(2ax\) on one side and \(-1x\) on the other. That would make \(a=- \frac12\). At this point we have still the second squared term, so we add and subtract \(\frac14 = (\frac12)^2\)

Our equation becomes:

\(x^2-x+\frac14 -\frac14-2 =0\\(x-\frac12)^2-\frac94=0\)

(the \(\frac94\) term comes from rewriting \(2= \frac84\) and adding the terms out of the bracket).

At this point it's just solving the equation:

\((x-\frac12)^2 = \frac94 \rightarrow x-\frac12=\pm\frac32\\x=\frac12\pm\frac32\\x_1=\frac42 = 2; x_2=\fra-\frac22=-1\)

In linear equation, Jen planned to spent 3.75 hours paddleboarding.

What is a linear equation example?

Dominic has sampled =  7

flavors of ice cream at shop = f

the expression that shows the number of flavors Dominic has not sampled  

                                        = 7 * f = 7f                

Learn more about linear equation

brainly.com/question/11897796

#SPJ1  

The solutions to the equation 3x^2 - 9x - 12 = 0 are x = 4 and x = -1.

To solve the quadratic equation 3x^2 - 9x - 12 = 0, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a),

where a, b, and c are the coefficients of the quadratic equation.

In this case, a = 3, b = -9, and c = -12. Substituting these values into the quadratic formula, we have:

x = (-(-9) ± √((-9)^2 - 4 * 3 * (-12))) / (2 * 3)

= (9 ± √(81 + 144)) / 6

= (9 ± √(225)) / 6

= (9 ± 15) / 6.

We have two possible solutions:

For the positive root:

x = (9 + 15) / 6

= 24 / 6

= 4.

For the negative root:

x = (9 - 15) / 6

= -6 / 6

= -1.

The solutions to the equation 3x^2 - 9x - 12 = 0 are x = 4 and x = -1.

for such more question on equation

https://brainly.com/question/17145398

#SPJ8

When two variables vary directly they follow the next:

k is a constant.

Use the given data: when x=48, y=36 o find the value of k:

Then, x and y vary directly following the next equation:

Use the equation above to find x when y=18:

Answer:

The conclusion derived by Mandy is incorrect.

Step-by-step explanation:

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 time the other. That constant is known as the "constant of proportionality".

To determine if the input and output are proportional, we simply divide the output (y) by the corresponding input (x).

i.e. Ratio\(=\frac{y}{x}\)

So, we have:

\(Ratio=\frac{5}{1}=5\)

\(Ratio=\frac{10}{2}=5\\ Ratio =\frac{25}{5}=5\\ Ratio=\frac{50}{10} =5\)

For the four input and output data, the ratios are equal. This means that the relationship is proportional.

Hence, Mandy's conclusion is incorrect.

Learn more about proportional relationships at:https://brainly.com/question/24312388

#SPJ10

ratios are equal, so its proportionate Mandy's conclusion is incorrect.

Answer:

1.) q less than a number m times 7 is equal to 23

2.) 3 times a number g plus 8 is equal to 10 less than a number h times 4

3.) 6 more than a number k times 9 is equal to 54

4.) a number f times 7 less than a number of d squared times 6 is equal to a number d times 8 more than a number f squared

5.) a number g times 3 is equal to 45

(I might be wrong, so try to read the equations out loud to see if you agree)

Answer:

146

Step-by-step explanation:

180=4+30+x

180=34+x

180-34=x

146=x

\( \frac{1}{3} p + 15\)

= 1/3(p + 45)

Answer:

I think it

\(X1 = 1.333\\X2 = 1\\\\\)

Answer:

first one, and the third one

Step-by-step explanation:

Answer:

Options 2 and 3

Step-by-step explanation:

If there are 2 boys and 5 altogether, means there are 3 girls. The ratio of boys to girls would be 2:3.

Look at all the first and second options as fractions to make things simpler. Simplify the fractions and see which ones are equivalent to 2/3

4/10 = 2/5 FALSE

8/12 = 2/3 TRUE

Options 3, 4, and 5 are comparing boys to all students, so whatever matches the ratio 2/5 is true.

10/25 = 2/5 TRUE

20/30 = 2/3 FALSE

9/15 = 3/5 FALSE

In an independent-measures design experiment with two treatment conditions and 22 scores in each condition, a total of 44 subjects participated in the experiment.

To determine the number of subjects who participated in the experiment with an independent-measures design and 22 scores in each treatment condition, you simply need to add the number of scores in each condition together.

A researcher conducts an experiment comparing two treatment conditions with 22 scores in each treatment condition. If the researcher used an independent-measures design, how many subjects participated in the experiment are as follows:

Step 1: Identify the number of scores in each treatment condition.
There are 22 scores in each of the two treatment conditions.

Step 2: Add the number of scores in both treatment conditions together.
22 scores (from treatment condition 1) + 22 scores (from treatment condition 2) = 44 scores

To learn more about experiment, refer here:

https://brainly.com/question/30055326#

#SPJ11

Given :

Number of raspberry scones with Bryson = 51

Number of blueberry scones with Bryson = 34

To find the greatest number of bags Bryson can fill with equal number of raspberry and blueberry cones each, we need to find the GCF of the number of blueberry scones and raspberry scones.

Factors of 34 = 1, 2, 17, 34

Factors of 51 = 1, 3, 17, 51

Greatest common factor (GCF) of 34 and 51 = 17

Therefore, the greatest number of bags Bryson can fill with equal number of blueberry scones and raspberry scones = 17 bags

Answer:

\( \sf \: 12th \: term = 37\)

Step-by-step explanation:

Common difference (d) is,

→ d = a2 - a1

→ d = -3 - (-7)

→ d = -3 + 7

→ [ d = 4 ]

Now the 12th term will be,

→ a1 + (d × (n - 1))

→ -7 + (4 × (12 - 1))

→ -7 + (4 × 11)

→ -7 + 44

→ 37 => 12th term

Hence, the answer is 37.

I hope this helps

Answer:

32.75

Step-by-step explanation:

If you divide 131 by 4 (131/4), then you should get the answer 32.75, so if you need to round it, round it to 31, and if you do not need to round it, then it will be 32.75

Answer:

?

Step-by-step explanation:

is there more to the question

Answer:

$0.52 per banana

Step-by-step explanation:

brainest right here

Answer:

the total is 80 cm^2

Step-by-step explanation:

just because you should multiply by 2 40*2=80 cm^2

i hope this helps

have a great day

Since, The line of symmetry is drawn between them. That line makes both sides equal. So if area of one half is 40cm² the area of other half will be also 40cm²..

Now, their sum is:

\(40 + 40 = 80\)

Thus, The total area of the rhombus is 80cm²...~

The margin of error for a 95% confidence interval can be calculated using the formula:

Margin of error = Zα/2 * (standard deviation / √sample size)

Where Zα/2 is the critical value for a 95% confidence interval, which can be found using a standard normal distribution table or calculator. For a 95% confidence interval, Zα/2 is approximately 1.96.

Using the given information, we can plug in the values into the formula:

Margin of error = 1.96 * (5 / √25,000) = 0.98

Therefore, the margin of error is approximately 0.98 points for a 95% confidence interval. This means that we can be 95% confident that the true mean score of all ACT test takers is within ±0.98 points of the sample mean of 21.

Learn more about margin of error

https://brainly.com/question/15691460

#SPJ4

Answer:

Step-by-step explanation:

48

Answer:

50+p/3

Step-by-step explanation:

Each friend has a 50 flat fee = 50

Parking is divided between 3 people so each person pays 1/3 of the parking fee

if p = price of parking 50 + p/3

Answer:

y=6x+14

x=9

y=6×9+14

y=54+14

y=68

Answer:

y = 68

Step-by-step explanation:

Substitute x = 9 into the equation

y = 6(9)+ 14 = 54 + 14 = 68