Can anyone help? Worth 10 points.

To solve the problem we will put the values given to us in the formula of volume of a prism.

A prism is a 3d shape whose two sides are the base sides which are polygon, with the other faces as parallelograms.

The height of the prism is \(\dfrac{(x^3-3x^2+5x-3)}{(x^2-2)}\).

Given to us

As given  to us,

\(\rm{ Volume\ of\ prism = Area\ of\ base \times Height \)

\(\rm{ Height=\dfrac{Volume\ of\ prism}{Area\ of\ base}\)

Substituting the values we get,

\(\rm{ Height=\dfrac{(x^3-3x^2+5x-3)}{(x^2-2)}\)

Hence, the height of the prism is \(\dfrac{(x^3-3x^2+5x-3)}{(x^2-2)}\).

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Answer: A

Step-by-step explanation:

on edge 2022

Answer:

A=80

B=31

C=64

Step-by-step explanation:

A, 69, and b will equal 180 since it forms a straight line

A+69+b=180

to solve for A we subtract 53+47 from 180 and get 80

80+69+b=180

to get B we subtract 80+69 from 180 and get 31

to get c we add 85+b and subtract it from 180 getting c=64

Answer:

Hey it's me again the life saver ;)

To find b we can use the linear pair property but since only 1 angle is given, we owuld need at least 2 angles on this situation to find b so, to do that we are first going to find a

a=>

53 + 47 + a = 180

a=180 - 100

a=80°

Now to find b=>

80 + 69 + b =180 (Because of Linear pair property)

b = 180-149

b=31°

Now that we have got b, to solve c, we can again use the sum of all angles in a triangle are 180°

c=>

31 + 85 + c =180

c=180 - 116

c=64

Hope it helps

To calculate the standard deviation of the heights of 15 soda cans, we first need to remove the outlier from the given data set. An outlier is defined as an extreme value that significantly deviates from the rest of the data. Looking at the data provided:

(92.8, 92.8, 92.9, 92.9, 92.9, 92.8, 92.7, 92.9, 92.1, 92.7, 92.8, 92.9, 92.9, 92.7, 92.8)

We can observe that 92.1 seems to be an outlier since it is noticeably less than the rest of the values. Let's remove this outlier from the data set:

(92.8, 92.8, 92.9, 92.9, 92.9, 92.8, 92.7, 92.9, 92.7, 92.8, 92.9, 92.9, 92.7, 92.8)

Now, we can calculate the standard deviation. Using a statistics calculator or spreadsheet, we input the remaining data points and calculate the standard deviation.

The standard deviation measures the spread or dispersion of the data from the mean.

Using a calculator or spreadsheet, the standard deviation of the given data set is determined to be approximately 0.085. Rounding to the nearest hundredth, the standard deviation is 0.09.

Therefore, after removing the outlier, the standard deviation of the heights of the 15 soda cans is approximately 0.09.

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TT is equal to T-1, so the given matrix is an orthogonal matrix.

What is an orthogonal matrix?

Here, the determinant of T,

 |T| = cos²∅ + sin²∅

      = 1

Now, its cofactors,

\(T_{11}\) = cos ∅

\(T_{12\) = sin ∅

       \(T_{21\)= -sin ∅

\(T_{22\) = cos ∅

Now, the adjoint matrix of cofactors matrix transpose \(T^T\) is equal to \(T^{-1.\)

Hence, the given matrix is an orthogonal matrix.

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Answer:

Step-by-step explanation:

If I found the mean, the answer would be:

3+ 4+4+4+5+6+7+23= 56

56/ 8 = 7

If I found the average value using the median, the answer would be 4.5.

In this set of data, the anomaly is 23 as it is much higher than the other numbers.

The median is more accurate because it find the more ‘central’ number and is not affected as greatly with anomalies whereas the mean is affected greatly with anomalies as it raises the value significantly.

Therefore, the median is better to work out the average in this set of data.

:)

Answer:

x = 4

Step-by-step explanation:

3x - 3 = 9

3x = 12

x = 4

just rearrange the equation

We have to calculate P(A∩B), knowing that P(A) = 0.5 and P(B|A) = 0.6.

We can relate this probabilities as:

This can be thinked as:

The probability of both events, A and B (represented by the intersection of A and B), is equal to the probability of event A times the probability of event B, given that event A has happened.

Answer: P(A∩B) = 0.3

Answer:

To find the total length of the two sides, we simply add them together:

Total length = Side 1 + Side 2

Total length = (8x^2 - 5x - 2) + (7x - x^2 + 3)

Total length = -x^2 + 8x^2 - 5x + 7x - 2 + 3

Total length = 7x^2 + 2x + 1

Therefore, the total length of the two sides of the triangle is 7x^2 + 2x + 1.

Step-by-step explanation:

To find the length of the third side of the triangle, we need to use the formula for the perimeter of a triangle:

Perimeter = Side 1 + Side 2 + Side 3

We are given the perimeter of the triangle as 4x^3 - 3x^2 + 2x - 6 and we know the lengths of Side 1 and Side 2. Therefore, we can rewrite the formula as:

4x^3 - 3x^2 + 2x - 6 = (8x^2 - 5x - 2) + (7x - x^2 + 3) + Side 3

Simplifying the right-hand side:

4x^3 - 3x^2 + 2x - 6 = 7x^2 + 2x + 1 + Side 3

Side 3 = 4x^3 - 3x^2 + 2x - 6 - 7x^2 - 2x - 1

Simplifying further:

Side 3 = 4x^3 - 7x^2 - x - 7

Therefore, the length of the third side of the triangle is 4x^3 - 7x^2 - x - 7.

Yes, the answers for Part A and Part B show that the polynomials are closed under addition and subtraction.

Closure under addition means that when two polynomials are added, the result is also a polynomial. In Part A, we added the two polynomials 8x^2 - 5x - 2 and 7x - x^2 + 3 to get the total length of the two sides of the triangle, which is 7x^2 + 2x + 1. Since the total length is also a polynomial, this shows that the polynomials are closed under addition.

Closure under subtraction means that when one polynomial is subtracted from another polynomial, the result is also a polynomial. In Part B, we subtracted the two polynomials 8x^2 - 5x - 2 and 7x - x^2 + 3 from the given perimeter of the triangle, 4x^3 - 3x^2 + 2x - 6, to get the length of the third side of the triangle, which is 4x^3 - 7x^2 - x - 7. Since the length of the third side is also a polynomial, this shows that the polynomials are closed under subtraction.

Therefore, the answers for Part A and Part B demonstrate that the polynomials are closed under addition and subtraction.

The function's integer vector parameter "scores" is most likely a read-only input parameter, which means it will not be modified within the function.

In programming, it is common for functions to have parameters that are used as inputs to the function. These parameters can either be modified within the function (called "output" or "in-out" parameters), or they can be read-only inputs that are not modified within the function. Based on the information provided in the question, it seems that the "scores" parameter falls into the latter category, meaning that it will have a few elements and will not be modified within the function.

In order to fully understand the role of the "scores" parameter in the function, we would need to see the code and understand the context in which it is used. However, based on the information provided in the question, we can make some assumptions about how the parameter is likely to be used. If the function is designed to perform some sort of calculation or analysis on the input data, then it is likely that the "scores" parameter is used as an input to that calculation. In this case, the function may need to access the values in the "scores" vector in order to perform some operation on them, but it would not modify the vector itself. On the other hand, if the function is designed to modify the input data in some way, then it is possible that the "scores" parameter could be modified within the function. However, based on the wording of the question ("the function will not change score"), it seems that this is not the case.

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Answer:

-10

Step-by-step explanation:

Multiple

6*-3=-18

Calculate

-18+8

Answer

y=-10

In linear equation, 17 seconds it will take to do a complete gaussian elimination of this size.

What are a definition and an example of a linear equation?

Given that your computer completes a 5000 equation back substitution in 0.005 seconds.

then here Work is: n = 5000 and its rate is = (n2) / 0.005 = 5000000000

and Given formula : The approximate operation counts = ((2n^3)/3) = (2.0 * (n3)) / 3.0 = 83333333333.33

then we can found time = operations / rate = 83333333333.33/5000000000 = 16.67 = 17 seconds

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Answer:

i would recomend matway for these questions

it will tell you the answers

The count increase in the alien bacteria at the midnight is 31692.

Here we have to find the count of alien bacteria at midnight.

Data given:

Count of alien bacteria at 5 pm = 26,300

Percentage increase in bacteria per hour = 2.7%

increase = 1 + 2.7/100

               = 102.7

time = 12 - 5 = 7

The count of alien bacteria at midnight = 26,300 ×( 1.207 \()^{7}\)

                                                                 =  31692

Therefore the alien bacteria at midnight is 31692.

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Answer:

x = -3

Step-by-step explanation:

I hope you mean "no solution" as in 'equal to zero' because that's what I'm doing and what makes sense.

Start by setting the equation equal to zero.

3x + 9 = 0

Subtract the 9 from both sides to move it to the right side.

3x = -9

Divide the 3 from both sides to isolate the x.

x = -3

We can check that x = -3 is the correct answer by plugging it in and seeing if it equals zero.

3(-3) + 9

-9 + 9

0

Check the picture below.

so we know it has a vertex at (2 ,3 ) and it also passes through (-2 , -1), then

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=2\\ k=3\\ \end{cases}\implies y=a(~~x-2~~)^2 + 3\hspace{4em}\textit{we also know that} \begin{cases} x=-2\\ y=-1 \end{cases}\)

\(-1=a(-2-2)^2 + 3\implies -4=a(-4)^2\implies -4=16a \\\\\\ \cfrac{-4}{16}=a\implies -\cfrac{1}{4}=a\hspace{10em}\boxed{y=-\cfrac{1}{4}(x-2)^2 + 3}\)

Answer:

8) x = 3

9) x = 10

Step-by-step explanation:

8) 45° ≅ 15x, therefore, the equation would look like: \(45 = 15x\)

☆Let's solve it!

\( \frac{45}{15} = \frac{15x}{15} \\ 3 = x\)

9) 12x - 10 is supplementary to 8x - 10. So the equation would be: \(12 x- 10 + 8x - 10 = 180\)

☆Let's solve it!

\(12x - 10 + 8x - 10 = 180 \\ 20x - 20 = 180 \\ \frac{ \: \: \: \: \: \: \: \: \: \: + 20 = + 20}{ \frac{20x}{20} = \frac{200}{20} } \\ x = 10\)

The alternative hypothesis will be 200β₂> -0.03.

The null hypothesis of the given statement will state that decreasing the total size by 200 square feet will not decrease the price by more than three percent. On the other hand, the alternative hypothesis lines up with the research prediction, which states that decreasing the total size by 200 square feet, will decrease the price by more than three percent. Here, the negative sign indicates a decrease in price.

Therefore, the correct answer is 200β₂> -0.03.

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The fundamental difference between a sample survey with nonresponse and a volunteer sample is the way participants are selected and the biases that may result from each approach. While nonresponse in a sample survey can lead to nonresponse bias, volunteer samples are more susceptible to selection bias.

The fundamental difference between a sample survey of human beings that may suffer from nonresponse and data using a volunteer sample is the way participants are selected and the potential biases that may arise.
In a sample survey, a random selection of individuals is chosen from the target population. However, nonresponse can occur when some of these selected individuals fail to participate or provide incomplete information. This can lead to nonresponse bias, which affects the representativeness of the sample and the accuracy of the results. To minimize nonresponse bias, researchers should ensure that their survey design and data collection methods encourage participation and provide clear instructions for respondents.
On the other hand, a volunteer sample consists of participants who willingly choose to participate in the study, usually in response to an open invitation. This approach is more prone to selection bias, as the individuals who volunteer may not be representative of the target population. They may have certain characteristics or attitudes that motivated them to participate, leading to biased results that may not generalize to the broader population. To address selection bias, researchers should carefully consider the recruitment method and the potential impact of volunteerism on their findings.
In summary, the fundamental difference between a sample survey with nonresponse and a volunteer sample is the way participants are selected and the biases that may result from each approach. While nonresponse in a sample survey can lead to nonresponse bias, volunteer samples are more susceptible to selection bias. Researchers must be mindful of these biases when designing and conducting their studies.

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There is a total of 2520 ways to create an injective function.

What is an injective function?

A function f called an injective function (sometimes called an injection, or one-to-one function) translates different elements of its domain into different elements.

Now, we can create an injective function from a set of 5 elements to a set of 7 elements

Based on the definition of an injective function,

For 1st element, we have a total of 7 choices

For 2nd element, we have a total of 6 choices and so on.

So, total ways = 7*6*5*4*3 = 2520

Hence, 2520 ways are there to create an injective function.

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Answer:

first 2/21 2nd 4/43

Step-by-step explanation:

Answer for 3:

$4467.25

Answer for 4:

None of them. Are there any other solutions?

Answer:

(1) N or n = 20

(2)  = 43.4

(3) σ = 9.78 and s = 10.04.

Step-by-step explanation:

When you hover the pointer over the cell border in Excel, it reveals the move icon, which indicates that you can move or drag the contents of the cell to a different location within the worksheet.

The move icon is represented by a four-sided arrow, usually in a gray color. It appears when you position the pointer over the border of the selected cell or range of cells. This feature is useful when you want to rearrange or reorganize the data within your worksheet.

To move the contents of a cell using the move icon, follow these steps:

Select the cell or range of cells that you want to move.

Hover the pointer over the border of the selected cell(s) until the move icon appears.

Click and hold the left mouse button on the move icon.

While holding the mouse button, drag the selected cell(s) to the desired location within the worksheet.

Release the mouse button to drop the contents of the cell(s) in the new location.

By using the move icon, you can easily rearrange data, change the order of columns or rows, or reposition cells within a worksheet. This feature allows you to quickly and efficiently organize your data to meet your specific needs or preferences.

It's important to note that when you move cells, any formulas or references that depend on the moved cells will automatically adjust to reflect the new cell location. This ensures that your formulas and calculations remain accurate even after moving the cells.

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Answer:

B (x^2 +4x -2) + (x^2 -2x +4)= 2x^2 +2x +2

Step-by-step explanation:

The blue are positive and the red are negative

The top line is x^2 +4x -2

The second line is x^2 -2x +4

Adding together  

 x^2 +4x -2 + x^2 -2x +4= 2x^2 +2x +2

The Test statistic: z = 1.77 and the P-value = 0.0381.

To test the hypothesis H0: μ1 â μ2 = 0 versus Ha: μ1 â μ2 > 0 at a significance level of 0.01, we use a two-sample z-test. We first calculate the sample mean and standard deviation for both groups. Then we calculate the pooled standard deviation and the test statistic. The test statistic is z = (x - y - 0) / SE, where SE = √(Ï1²/m + Ï2²/n). We compare the test statistic to the critical value from the standard normal distribution at a significance level of 0.01.

Since the test statistic is greater than the critical value, we reject the null hypothesis. The P-value is calculated as the probability of observing a test statistic as extreme or more extreme than the calculated test statistic under the null hypothesis. Since the P-value is less than the significance level, we reject the null hypothesis. Therefore, we conclude that the tension bond strength of the modified mortar is significantly greater than that of the unmodified mortar.

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Answer:

87*0.5 = 43.5

43.5

Step-by-step explanation:

Option-B is correct that is exponential growth. The new Malthusians fear that a lack of food will result from the population's exponential growth.

Given that,

The new Malthusians worry that ______ of the population will lead to a scarcity of food.

We have to fill the blank.

We know that,

A pattern of data that exhibits larger increases over time, forming the curve of an exponential function, is said to exhibit exponential growth.

The formula for the exponential growth is

V=S×(1+R\()^{T}\)

The starting value, S, of an initial starting point subject to exponential growth can be multiplied by the sum of one plus the interest rate, R, raised to the power of T, or the number of periods that have passed, to get the current value, V.

Therefore, Option-B is correct that is exponential growth. The new Malthusians fear that a lack of food will result from the population's exponential growth.

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0 .2 x + 1.2 = 0 .5 x​

collecting like terms, we have :

0. 5 x - 0 . 2 x = 1 . 2

0. 3 x = 1. 2

Divide both sides , we have:

x = 1 . 2 / 0. 3

x = 4