What is the equation of this line?

The slope of ef and gd can be found by using the formula: slope = (y2 - y1) / (x2 - x1) where ef = (x1, y1) and gd = (x2, y2) are the coordinates of the points e and g.

       - The two bases (the parallel sides) are congruent.

       - The two legs (the non-parallel sides) are congruent.

       - The diagonals of the trapezoid bisect each other.

       - The midpoints of the legs are congruent, since the legs are congruent.

       - The midpoints of the bases are congruent, since the bases are congruent.

       - The segments joining the midpoints of the legs and the bases are congruent, since they are both the same distance from the midpoint of the bisected diagonal.

        The slope of ef and gd can be found by using the formula: slope = (y2 - y1) / (x2 - x1) where ef = (x1, y1) and gd = (x2, y2) are the coordinates of the points e and g.

the slope of ef = -1/slope of gd.

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Estimated standard error in the bottom of the independent-measures t statistic is a measure of the variability of the sample means.

When the same experiment were repeated many times then estimated standard error help us to find the amount of variability.

Specifically, it measures the standard deviation of the sampling distribution of the mean differences between two independent groups.

When we conduct a t-test to compare the means of two independent groups.

Use the estimated standard error to determine the amount of variability.

Expect to see in the means of those groups if we repeated the experiment many times.

The larger the estimated standard error, the more variability  would expect to see in the means.

And the less confidence can have in our conclusion about whether the means of the two groups are significantly different from each other.

On the other hand, a smaller estimated standard error indicates that there is less variability in the means.

And can be more confident in our conclusion about the difference between the two groups.

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The equivalent expression is: \(-x^5 y^3 + 6x^3 y^5\).

Let's simplify the given expression step by step using the given terms:
Expression:

\(3x^3 y^5 + 3x^5 y^3 - (4x^5 y^3 − 3x^3 y^5)\)
Distribute the negative sign outside the parentheses to the terms inside:
\(3x^3 y^5 + 3x^5 y^3 - 4x^5 y^3 + 3x^3 y^5\)
Combine like terms, which are terms that have the same variables raised to the same power:
\((3x^3 y^5 + 3x^3 y^5) + (3x^5 y^3 - 4x^5 y^3)\)
Add or subtract the coefficients of the like terms:
\(6x^3 y^5 - x^5 y^3\)
So, the simplified expression is:
\(6x^3 y^5 - x^5 y^3\)

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Answer:

Hey so its 1 second in between. I hoped this helped and if its not that then its increasing! :)

Step-by-step explanation:

Frequency distribution  is a way to organize qualitative data into categories and record the number of observations in each category.

Differentiate between frequency distribution and relative frequency ?

A frequency distribution lists how frequently each category of data occurs, but a relative frequency analysis lists how frequently each types of information occurs.

One approach to organise data is to use a "frequency distribution," which can be done by listing the data, placing it in a table, or displaying it in a graph. Then, the list's entries (distinct values) are counted in terms of how frequently they have occurred.

Define relative frequency distribution

A "relative frequency distribution," on the other hand, refers to the percentage of the total number of observations that fall into a certain group. Divide each frequency by the total amount of data in the sample to obtain this.

what is qualitative data ?

Quantitative data are counts or measures, whereas qualitative data describe categories. Examples of qualitative data include eye colours and shoe brand names in a consumer survey. Examples of quantitative data are student heights and test results.

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The best unbiased estimator for μ is the sample mean, which is calculated by summing all values in the sample and dividing by the number of values.

The best unbiased estimator for μ is the sample mean. To calculate the sample mean, first add up all the values in the sample. Then divide the sum by the number of values in the sample. This will give the sample mean.

For example, if we have a sample of 5 values (2, 4, 6, 8, 10), the sum of the values is 30. To calculate the sample mean, we divide 30 by 5, which gives us 6. Therefore, the sample mean is 6.

The sample mean is an unbiased estimator for μ because it does not consistently overestimate or underestimate the mean. It is also the best unbiased estimator because it has the lowest mean squared error among all unbiased estimators.

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Answer:

22.5

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

(a) The number of ways a student can check off one answer to each question in a multiple-choice test is equal to 2 raised to the power of the number of questions.

(b) The number of ways a student can check off one answer to each question and get all the answers wrong is equal to 1.

(a) In a multiple-choice test where each question has only one correct answer, a student has two choices: either to select the correct answer or to select an incorrect answer. Since there are no restrictions on choosing the same answer for different questions, the total number of ways a student can check off one answer to each question is determined by multiplying the number of choices (2) for each question together for all the questions. Therefore, the number of ways is equal to 2 raised to the power of the number of questions.

(b) To get all the answers wrong, the student must select an incorrect answer for each question. Since there is only one incorrect answer for each question, there is only one way to select all the incorrect answers. Consequently, the number of ways a student can check off one answer to each question and get all the answers wrong is equal to 1.

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A. False. When the population standard deviation, sigma, is given, we use the z-distribution, not the t-distribution.

b. True. Symmetric confidence intervals can be used to draw conclusions about two-tailed hypothesis tests.

What is Probability?

Probability is a branch of mathematics concerned with numerical descriptions of how likely an event is to occur or how likely a statement is to be true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates a certainty

It would depend on the context and the specific academic institution. In some cases, it may be unusual for all 10 students to pass all classes if the classes are known to be difficult or if there are usually a significant number of struggling students.

In other cases, such as at an academically achieving school or program, it may not be so unusual for a group of students to go through all the classes.

We can use the binomial distribution to calculate the probability of 5 or more defective items in a sample of 6 from a machine with a 1/4 probability of producing a defective item.

The probability weight function of the binomial distribution is given by the relation P(X=k) = C(n,k) * p^k * (1-p)^(n-k), where n is the number of trials (sample size), k is the number of successful of attempts (defects), p is the probability of success (probability of a defective item) and C(n,k) is the binomial coefficient.

In this case, n = 6, k = 5, and p = 1/4. We need to calculate P(X=5) + P(X=6). Using the formula above, we can calculate:

P(X=5) = C(6,5) * (1/4)^5 * (3/4)^(6-5)

P(X=6) = C(6,6) * (1/4)^6 * (3/4)^(6-6)

C(6,5) = 6! / (5! * (6-5)!) = 6

C(6,6) = 6! / (6! * (6-6)!) = 1

By substituting the values ​​we get:

P(X=5) = 6 * (1/4)^5 * (3/4)^(6-5)

P(X=6) = 1 * (1/4)^6 * (3/4)^(6-6)

Calculating these probabilities gives us:

P(X=5) = 0.0141

P(X=6) = 0.000244

Finally, we add these probabilities to get the total probability that there will be 5 or more defects in the sample:

P(X >= 5) = P(X=5) + P(X=6) = 0.0141 + 0.000244 = 0.014344

Thus, the probability of 5 or more defects in a sample is approximately 0.014344 or 1.4344%.

A. False. When the population standard deviation, sigma, is given, we use the z-distribution, not the t-distribution. The t-distribution is used when the population standard deviation is unknown and we estimate it using the sample standard deviation.

b. True. Symmetric confidence intervals can be used to draw conclusions about two-tailed hypothesis tests. In a two-tailed hypothesis test, we test whether the population parameter differs from the predicted value in both directions. By constructing a symmetric confidence interval, we can determine whether the predicted value falls within a confidence interval that shows no statistically significant difference or outside that interval, indicating a statistically significant difference.

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Answer:

$4.15

Step-by-step explanation:

Let the cost of a cheeseburger be x

Let the cost of a soft pretzels be y

If Mr. Smith goes to the concession stand and buys 2 soft pretzels and 1 cheeseburger for $8.25, this is expressed as;

x + 2y = 8.25 .... 1

Also, if Mr. Martin goes to the same concession stand and buys 1 soft pretzel and 3 cheeseburgers for $13.50, this is expressed as;

3x + y = 13. 50..... 2

The required equations are:

x + 2y = 8.25

3x + y = 13. 50

Find x and y by solving simultaneously:

From 1: x + 2y = 8.25

x = 8.25 - 2y ..... 3

Substitute 3 into 2

3(8.25-2y)+y = 13.50

24.75 - 6y+y = 13.50

24.75 - 5y = 13.50

-5y = 14.50 - 24.75

-5 y = 10.25

y = -10.25/-5

y = 2.05

Since x = 8.25 - 2y

x = 8.25 - 2(2.05)

x = 8.25 - 4.1

x = 4.15

Hence the cost of a cheesburger is $4.15

Sylvia and Patrick gathered information on the weight of cars and the mileage they get, and then proceeded to plot the data on a graph.

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The probability that the person selected drives a truck exercises four or more times per week is 0.633.

The probability of an event occurring is known as probability. This might range from an occurrence being impossible to have a chance to happen to be certain for sure. Probability is measured mathematically on a scale from 0 to 1.

Given,

The person selected who drives a truck exercises four or more times per week.

P(The person selected drives a truck and exercises four or more times per week)

= 36/120 + 52/120 - 12/120

= 76/120

Simplifying,

= 19/30

= 0.633(approximately)

The probability that the person selected drives a truck exercises four or more times per week is 0.633.

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Answer:

Step-by-step explanation:

We have to convert m to km and we have to add to find the total distance walked.

1000m = 1 km

350 m = 350 ÷ 1000 = 0.35 km

Total distance = 3.15 + 0.35

                        = 3.50 km

It will last Tess 14 days because 28/2=14

Answer:

A

Step-by-step explanation:

We have a table listing the number of minutes Trayvon practiced the Backstroke and Butterfly on Monday, Wednesday, and Friday.

We want to find event that Trayvon spent more time practicing.

To do so, we add up all the minutes of one event and compare this to the total minutes of the other event.

Therefore, we can eliminate options C and D. These two options evaluate the time on Wednesday compared to other days, but we want to do is to find which event did Trayvon spend the longest on.

So, let's add up all the minutes spent doing the Backstroke. Trayvon over the course of the three days spent 12.5 mins, 15.67 mins, and 9.32 mins.

Therefore, the total minutes Trayvon spend practicing the Backstroke is:

\(12.5+15.67+9.32=37.49\text{ mins}\)

Now, let's add up all the minutes spent doing the Butterfly. Trayvon spent 14.333 mins, 12.1 mins, and 10.78 mins over the course of three days. So, the total time spent doing the Butterfly is:

\(14.333+12.1+10.78=37.213\text{ mins}\)

Trayvon spent a total of 37.49 minutes doing the Backstroke and 37.213 minutes doing the Butterfly.

37.49 is greater than 37.213. So, Trayvon spent more time practicing the Backstroke.

So, our correct answer is A.

There are some number and calculation errors in B.

And we're done!

Answer:

C

Step-by-step explanation:

On Monday he spent 12.5 min on backstroke and 14.33 min on butterfly.

He spent 26.83 min practicing at the Monday event.

On Wednesday: 15.67 min on backstroke and 12.1 min on butterfly.

He spent 27.77 min on practicing at the Wednesday event.

On Friday: 2.32 min on backstroke and 10.78 min on butterfly.

He spent 13.1 on practicing at the Friday event.

So, he spent more time at the Wednesday event.

Answer:

48

Step-by-step explanation:

63-15=48

Answer:

48

Step-by-step explanation:

You are going to subtract 63 from 15 becasue intergers are whole numbers so just subtract to find what is in between.

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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Answer:

Step-by-step explanation:

gg

Using relations in a right triangle, it is found that the approximate angle made by the stairway with the ground is given by:

D. 43.76.

The relations in a right triangle are given as follows:

This situation can be modeled by a right triangle described as follows:

Hence the angle is found as follows:

\(\cos{\theta} = \frac{13}{18}\)

\(\theta = \arccos{\left(\frac{13}{18}\right)}\)

\(\theta = 43.76^\circ\)

Hence option D is correct.

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Answer:

46.24

Step-by-step explanation:

:)

The missing step of the given inequality is option C. -2x + 6 ≥ -4.

Inequality:

Inequality is used  when a non-equal comparison is made between two mathematical expressions or two numbers.

Given,

Here we have the the inequality: 2x + 6 ≥ 4x – 4.

And it has been solved but one of the step is missing n the calculation. here we need to find that missing step.

To find the missing step, we try to solve the inequality,

The first step is to write the equation in order wise, then we get,

2x + 6 ≥ 4x – 4.

Next we have to subtract 4x on both sides in order to simplify it,

Then we get,

2x + 6 - 4x ≥ 4x - 4 - 4x

When we simplify it then we get,

-2x + 6 ≥ -4

So, this is the missing step of the inequality.

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Answer:

f^3-3

Step-by-step explanation:

Hope this helps u

Crown me as brainliest:)

Answer:

6

Step-by-step explanation:

The verticle line in the box is the median

a. The mean and standard deviation of the sampling distribution of the difference in sample means xF - xM are 1.5 and 1.65 minutes.

b. The probability of getting a difference in sample means xF - xM that is less than 0 is approximately 0.20

What is Probability?

Probability is a field of mathematics that calculates the likelihood of an experiment occurring. We can know everything from the chance of getting heads or tails in a coin to the possibility of inaccuracy in study by using probability.

a. The mean of the sampling distribution of the difference in sample means, xF - xM, is equal to the difference of the population means, μF - μM = 8.8 - 7.3 = 1.5 minutes.

where σF and σM are the standard deviations of the populations of female and male students, respectively, and nF and nM are the sample sizes of female and male students, respectively.

\(Standard\ Deviation = \sqrt{3.3^2/8 + 2.9^2/8} \\\\Standard\ Deviation = \sqrt{{2.75} }\\\\Standard\ Deviation = 1.65\ minutes\)

So, the mean and standard deviation of the sampling distribution of the difference in sample means xF - xM are 1.5 and 1.65 minutes, respectively.

b. The probability of getting a difference in sample means xF - xM that is less than 0 can be found using a standard normal distribution table. First, we need to standardize the difference in sample means xF - xM by subtracting the mean and dividing by the standard deviation:

z = (xF - xM - (μF - μM)) / standard deviation

z = (0 - 1.5) / 1.65 = -0.91

Looking up -0.91 in a standard normal distribution table, we find that the probability of getting a difference in sample means xF - xM that is less than 0 is approximately 0.20.

So, there is a 20% probability of getting a difference in sample means xF - xM that is less than 0.

Hence, The mean and standard deviation of the sampling distribution of the difference in sample means xF - xM are 1.5 and 1.65 minutes and probability of getting a difference in sample means xF - xM that is less than 0 is approximately 0.20.

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The total area of the shaded region is 352 square feet (352ft²).The area of the shaded region is calculated by adding the area of the individual shapes within the region.

A right triangle is a triangle with one right angle, which is an angle that measures 90 degrees. The other two angles in a right triangle must measure less than 90 degrees and together must add up to 90 degrees.

The first shape is a right triangle with sides of 25ft, 8ft, and 8ft. The area of this triangle is calculated using the formula A = (1/2)bh, where b is the base and h is the height. In this case, the base is 25ft and the height is 8ft, so the area of the triangle is 80 square feet (80ft²).

The second shape is a rectangle with sides of 8ft and 8ft. The area of this rectangle is 64 square feet (64ft²).

The third shape is a square with sides of 8ft. The area of this square is 64 square feet (64ft²).

The fourth shape is a rectangle with sides of 8ft and 18ft. The area of this rectangle is 144 square feet (144ft²).

The total area of the shaded region is 352 square feet (352ft²). This is calculated by adding the area of each individual shape: 80ft² + 64ft² + 64ft² + 144ft² = 352ft².

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The area of the shaded region is 322 ft² which is the calculated by subtracting the area of squares from area of rectangle.

Area is a measure of the size of a two-dimensional surface. It is calculated by multiplying the length of a surface by its width.

We can calculate the area of the shaded region by subtracting the area of the two squares from the area of the rectangle.

The area of the rectangle is given by the formula A = l x w, where l and w are the length and width of the rectangle respectively.

The area of the rectangle=

A= 25 x 18

A= 450 ft²

The area of each square is given by the formula A = s², where s is the length of one side.

The area of each square:

A= 8²

A= 64 ft²

Now, the area of the shaded region=

Area of rectangle - (Area of square 1 + Area of square 2).

A= 450 - (64 + 64)

A= 450 - 128

A= 322 ft²

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The complete question is as follows:

Answer:

11/3

Step-by-step explanation:

Multiply the 3 by the 3 and then add 2.

\(3 \frac{2}{3} \)

\((3 \times 3) + 2\)

\(9 + 2 = 11\)

\( \frac{11}{3} \)

Answer:

44,5%

Step-by-step explanation:

20x100= 2000

45 x X= 45x

2000÷45= 44,444...

Rounded 44,5

Answer:

associative property

Step-by-step explanation:

because the variables match