What is the midpoint between (0, -4)
and (-8, 14)

Answer: the equation is ‘a+17=35’ and the value of a is ‘a=18’

Answer:

a+17=35

a=18

Step-by-step explanation:

Statistical guidance should perform well in situations such as clinical trials and market research where rigorous data analysis and inference are necessary. Statistical methods provide a systematic approach to control biases, handle variability, and draw reliable conclusions, ensuring accurate decision-making and predictions based on the data.

Statistical methods are crucial in determining sample sizes, designing the study, and analyzing the data to draw valid conclusions about the effectiveness and safety of the treatment.

In this situation, statistical guidance should do well because it provides a systematic framework to control for biases, random variability, and confounding factors, ensuring robust and reliable results that can be generalized to a larger population.

One example where statistical guidance should perform well is in clinical trials for new drugs or treatments.

Another example is in market research and opinion polling. Statistical techniques can be used to collect and analyze data from a representative sample of the target population, allowing for accurate estimation and prediction of consumer preferences, market trends, or election outcomes.

Statistical guidance should do well in this situation because it provides methods for random sampling, hypothesis testing, and confidence interval estimation, which help minimize sampling errors and increase the reliability of the findings.

Additionally, statistical models can capture complex relationships and make accurate predictions based on the observed data.

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The annual rate of decay is r = 0.87

We know that if a quantity has a half-life of T, then the rate of decay must be such that:

r^T = 0.5

This means that when a time T passes, the original quantity becomes half of what it originally was.

In this case we know that the half-life is T = 5 years, then we have:

r^5 = 0.5

r = 0.5^(1/5) = 0.87

Then the annual rate of decay is r = 0.87, and if the initial quantity is 18 grams, we can write the exponential decay as:

f(t) = 18g*(0.87)^t

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Answer:

13%

Step-by-step explanation:

I took the test on edge and got it right

Answer:

\(y = -\frac{1}{3}x\)

Step-by-step explanation:

The scatter plot trends downward from left-> right, meaning that it is negative. Next, use two points to solve for the value for the slope.

In this case, I will use (-3 , 1) & (0 , 0)

Use the following equation. m = slope:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Let:

\((x_1 , y_1) = (0 , 0)\\(x_2 , y_2) = (-3 , 1)\)

Plug in the corresponding numbers to the corresponding variables:

\(m = \frac{1 - 0}{-3 - 0} = \frac{1}{-3} = -\frac{1}{3}\)

Your answer will be:

\(y = -\frac{1}{3}x\)

(a)image averaging is a very effective method of reducing noise in images. Image averaging reduces noise by adding multiple images of the same scene together and then dividing by the number of images added.The conditions that must be fulfilled for the image averaging method are as follows:-

(i) The background of the image must not move between each image capture.- The noise present in the image must be random.- The source of the noise must be consistent.

(ii)The mathematical expression that characterizes the noise in the resultant image when K images are averaged, as K becomes large is given by;sigma_n^2/K

Where;sigma_n^2 is the variance of the noise and K is the number of images that have been averaged.

Therefore, as K increases, the variance of the noise in the resultant image reduces, and thus, the noise reduces.When either method can be used for noise reduction, the temporal image averaging method would be the preferred method to select.

(iii)This is because it uses a sequence of images that are taken at different times, usually at high speeds, to produce a single image that is free of noise. This method is best when dealing with fast-moving objects, and it can be used in situations where the camera cannot be stabilized and is experiencing unwanted vibration or shaking.

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Hi! Based on the information provided, using homework 10 data with a significance level (α) of 0.05 and a p-value of 0.038, your conclusion is that you would reject the null hypothesis.

This is because the p-value (0.038) is less than the significance level (0.05), indicating that there is significant evidence to suggest that the alternative hypothesis is true. Therefore, the conclusion is made based on the evidence to suggest that there is a statistically significant difference between the groups being compared in the study analyzed in homework 10.

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Answer:

Step-by-step explanation:

\(\dfrac{ 1 }{ 2 } \times 12\times 15\times \sin ( 110 )\)

==> 84.57

Answer:

2000 kg.

Step-by-step explanation:

Density = mass / volume

-->  mass = density * volume

-->  mass =  40 * 50

-->  mass = 2000 kg.

Answer:  \(\sqrt{2}/2\) which is Choice B

This is the same as writing \(\frac{\sqrt{2}}{2}\)

The second "2" is not under or inside the square root.

==========================================================

Explanation:

Refer to the unit circle below. I've highlighted the angle 45 degrees and its corresponding sine value. It's the y coordinate of the point on the unit circle, for this particular angle.

Therefore, \(\sin(45^{\circ}) = \frac{\sqrt{2}}{2}\)

--------------

You could alternatively draw out a 45-45-90 triangle. Let x be the leg length and the hypotenuse is 1 unit long. Solve \(x^2+x^2 = 1\) for x and you should get \(x = \frac{\sqrt{2}}{2}\) as the length of each leg.

Then take the ratio of the opposite over hypotenuse to find the same answer mentioned above.

Answer:

35 feet

Step-by-step explanation:

It isn't very clear, but I believe it says 1.40 inches.

So what you have to do is multiply 1.4 times 25 which gives you 35.

The image is blurry

Step-by-step explanation:

Answer:

It might be 8 v?

Step-by-step explanation:

Answer:

-4 2/3 times (-1 1/2)

Step-by-step explanation:

The resulting image considering a dilation of the figure by a factor of 1/3 is given by the graph at the end of the answer.

For a dilation in a image, we multiply the coordinates of each vertex of the figure by the scale factors.

For the original figure graphed, the vertices are given as follows:

The dilation has a scale factor of 1/3, meaning that the coordinates are multiplied by 1/3, hence the coordinates of the resulting image are given as follows:

The dilated figure is given by the graph at the end of the answer, having the same format as the original figure, just with smaller side lengths due to the dilation with a scale factor less than 1.

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Solution

- The question would like us to solve the following inequality:

- The solution is given below:

- Thus, we need to put the solution in both Set-builder notation and Interval notation. This is done below:

Set-builder notation:

Interval notation:

Answer: it wll be thursday at 7:30PM

Answer:

99

Step-by-step explanation:

55/5 is 11

11*9

is 99

Answer:

99

Step-by-step explanation:

bidmas is used here

55/5=11

11*9=99

Hi! Let me help you! :)

Answer:

y-1=4/5(x+2)

Hope you find it helpful.

~Nature~

Enjoy your day! :)

Given:

The line perpendicular to the line y = 3x + 3 includes the point (3, 1).

Required:

We need to find the line equation.

Explanation:

The given line y =3x+3 is of the form.

The slope of the line is a negative reciprocal of the perpendicular to the line.

Consider the line equation.

Substitute m=-1/3 in the equation.

Substitute x =3 and y =1 in the equation to find the value of b.

Add 1 to both sides of the equation.

We know that b is the y-intercept.

Final answer:

The y-intercept of the line perpendicular to the line y = 3x + 3 includes the point (3, 1) is 2.

The character of the string "str1" = part1 will be printed.

The correct option is C.

We have,

str1 = "part1"

str2 = "part2" for x in str1: print (x, end=" " )

The program will print each character of the string "str1" on a separate line, followed by a space.

In this case, the string "str1" is "part1", so the program will print "p a r t 1" (with spaces in between each character).

The string "str2" is not involved in the loop, so it will not be printed.

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Given :-

To Find :-

Solution :-

As we know that the volume of the cylinder is ,

\(\longrightarrow\) Volume = πr²h

On substituting the respective values ,

\(\longrightarrow\) Volume = 3.14 * (7ft)²*12ft

\(\longrightarrow\) Volume = 3.14*49ft²*12ft

\(\longrightarrow\) Volume = 1846.32 ft.³

Hence the required answer is 1846.32 ft³.

Answer:

A: 37 degrees B: 49 degrees C: 57 degrees hope this helps

Answer:

Step-by-step explanation:

Use the property of angle bisector:

Using the above and the diagram we can see:

and

Also we have:

From the first equation we find:

And from the second equation we get:

Substitute b in the third equation:

Then, find b:

Answer:

C

Step-by-step explanation:

Domain is what x values are allowed in a function

Answer:

We get -2 < r < 3

Corresponding to the fourth choice

The fourth number line is the correct option

Step-by-step explanation:

-2 < 3r+4 < 13

We have to isolate r,

subtracting 4 from each term,

-2-4< 3r + 4 - 4 < 13 - 4

-6 < 3r < 9

divding each term by 3,

-6/3 < r < 9/3

-2 < r < 3

so, the interval is (-2,3)

or, -2 < r < 3

this corresponds to

The fourth choice (since there is no equality sign)

Answer:

Whichever one is only negatives.

Step-by-step explanation:

Whole numbers are integers that are only positive

Answer:

D) *the last one*

Step-by-step explanation:

-8 - (-6) = -2 and the last one is the only one that seems to show -2

For each value of t, we can substitute it back into the parametric equations x = 4t^3 and y = 4t - 8t^2 to obtain the corresponding points on the curve where the tangent line has a slope of 1.

To find the points on the curve defined by x = 4t^3 and y = 4t - 8t^2 where the tangent line has a slope of 1, we need to find the values of t that satisfy this condition.

The slope of the tangent line at a point on the curve is given by the derivative of y with respect to x, dy/dx. In this case, we have the parametric equations x = 4t^3 and y = 4t - 8t^2.

Differentiating y with respect to x, we can find dy/dx:

dy/dx = (dy/dt) / (dx/dt)

      = (4 - 16t) / (12t^2)

To find the points where the tangent line has a slope of 1, we set dy/dx = 1 and solve for t:

(4 - 16t) / (12t^2) = 1

Multiplying both sides by 12t^2, we get:

4 - 16t = 12t^2

12t^2 + 16t - 4 = 0

Simplifying the equation, we have:

3t^2 + 4t - 1 = 0

Now we can solve this quadratic equation for t. By factoring or using the quadratic formula, we find two values for t.

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Answer:

Step-by-step explanation:

5, 5, 5, 16, 16, 28, 29, 32, 35, 48

Mode: 5, 16

Median: 44/2 = 22

range: 48 - 5 = 43

mean: (5 + 5 + 5 + 16 + 16 + 28 + 29 +32 + 35 + 48)/10 = 219/10 = 21.9

a) Option A, A x2 statistic provides strong evidence in favor alternative hypothesis if its value is a large positive number.

b) Option B, The null hypothesis that sex and personal goals are not related vs. the alternative hypothesis that sex and personal goals are related.

c) Option B, The variables considered in a chi-squared test used to evaluate a contingency table B. are categorical.

(a) A x2 statistic provides strong evidence in favor of the alternative hypothesis if its value is a large positive number. The x2 statistic is used in hypothesis testing to determine whether there is a significant difference between observed and expected frequencies. A large positive value indicates that the observed frequencies are significantly different from the expected frequencies, which supports the alternative hypothesis.

(b) The hypotheses being tested in a chi-squared test on a contingency table are the null hypothesis that sex and personal goals are not related vs. the alternative hypothesis that sex and personal goals are related. This test determines whether there is a significant association between two categorical variables.

(c) The variables considered in a chi-squared test used to evaluate a contingency table are categorical. These variables cannot be averaged or assumed to be normally distributed. The chi-squared test is used to analyze the relationship between two or more categorical variables, where each variable has a discrete set of categories.

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Answer:

1. 1800000000

2. 1e+22

3. 3.42857142857