What is the median for the following set of data?

5, 7, 9, 11, 13, 13

Answer:

13) x=n-11

15) x=3*10

Step-by-step explanation:

I used x as the variable. The questions are pretty straightforward. They are asking you to put the terms in the description on the right side of the equation. The questions = x. That was probably confusing, but it is correct. I hope this helped!

Product of 3 and 10 and12

Answer:

24 and 56

Step-by-step explanation:

8*3=24

7*8=56

Answer:

Measurement 3=38

Measurement 1=38

Measurement 2=142

Step-by-step explanation:

Answer:

The negative sign in the function will make it a downward-opening parabola, and its vertex will be its highest point.

Answer:

It reflects the graph across x-axis

Step-by-step explanation:

It's a vertical reflection.

No, the segments connecting points A, B, and C does not to form a right-angled triangle.

Mathematically, Pythagorean's theorem is given by this mathematical expression:

a² + b² = c²

Where:

a, b, and c represents the length of sides of a right-angled triangle.

In order for the segments connecting points A, B, and C to form a right-angled triangle, its side lengths must satisfy the Pythagorean's theorem:

AB² = (xB - xA)² + (yB - yA)²

AB² = (6 - (-2))² + (2 - 2)²

AB² = 8² + 0²

AB² = 8²

AB = 8

AC² = (xC - xA)² + (yC - A)²

AC² = (0 - (-2))² + (6 - 2)²

AC² = 2² + 4²

AC² = 4 + 16

AC = √20

BC² = (0 - 6)² + (6 - 2)²

BC² = (-6)² + 4²

BC² = 36 + 16

BC = √52

From Pythagorean's theorem, we have:

a² + b² = c²

√20² + √52² = 8²

20 + 52 = 64

72 ≠ 64 (False, not a right-angled triangle).

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Answer:

Im not sure

Step-by-step explanation:

GOOD LOOK ON YOUR TEST HE DISCONN-ECTED

The two most commonly used measures of variability are variance and standard deviation.

1. Variance: Variance measures how spread out a set of data points is from the mean. It calculates the average of the squared differences between each data point and the mean. The formula for variance is sum of squared differences divided by the number of data points.

Example: Let's say we have a set of data points: 2, 4, 6, 8, and 10. The mean of these data points is 6. The differences between each data point and the mean are: -4, -2, 0, 2, and 4. Squaring these differences gives us: 16, 4, 0, 4, and 16. The sum of these squared differences is 40. Dividing this sum by the number of data points (5) gives us a variance of 8.

2. Standard Deviation: Standard deviation is the square root of variance. It measures the average distance between each data point and the mean. Standard deviation is often preferred over variance because it is in the same unit as the data points, making it easier to interpret.

Example: Using the same set of data points as above, the variance is 8. Taking the square root of 8 gives us a standard deviation of approximately 2.83.

In summary, variance measures how spread out the data points are from the mean, while standard deviation gives us a more intuitive understanding of the variability by providing a measure in the same unit as the data points. These measures help us understand how the data is distributed and how much it deviates from the average.

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a) The number of grades in the array G is 20. b) The grades greater than 70 in the array G: 83, 75, 82, 76, 85, 71, 96, 78, 76, 72, 75, 83, 93. c) Mean is 73.6, median is 75.5, there is no mode and the standard deviation is 17.84. d) Mean better represents the "most typical grade."

10 To determine the number of grades in the array, we can use the length function in most programming languages. In this case, since the array G is given, the number of grades is the length of the array. Therefore, the number of grades in the array G is 20.

2) To find all the grades greater than 70 in the array G, we can iterate through each element of the array and check if it is greater than 70. Here are the grades greater than 70 in the array G: [83, 75, 82, 76, 85, 71, 96, 78, 76, 72, 75, 83, 93].

3) To compute the mean, median, mode, and standard deviation of the grades in array G, we can use various statistical formulas and functions. Here are the calculations:

Mean: The mean is the average of the grades in the array. To calculate it, we sum up all the grades and divide by the total number of grades.

Mean = (68 + 83 + 61 + 70 + 75 + 82 + 57 + 5 + 76 + 85 + 62 + 71 + 96 + 78 + 76 + 68 + 72 + 75 + 83 + 93) / 20 = 73.6

Median: The median is the middle value of the sorted array. First, we need to sort the grades in ascending order: [5, 57, 61, 62, 68, 68, 70, 71, 72, 75, 75, 76, 76, 78, 82, 83, 83, 85, 93, 96]. Since the number of grades is even, we take the average of the two middle values, which are 75 and 76.

Median = (75 + 76) / 2 = 75.5

Mode: The mode is the value(s) that appear most frequently in the array. In the array G, there is no mode because no grade appears more than once.

Standard Deviation: The standard deviation measures the dispersion or spread of the grades. We can use the formula for population standard deviation to calculate it.

Standard Deviation = \(\sqrt{\)((\((68 - 73.6)^2\) + \((83 - 73.6)^2\) + ... + \((93 - 73.6)^2\)) / 20) ≈ 17.84

4) The measure that better represents the "most typical grade" depends on the distribution of the grades. In this case, since there is no mode (no grade appears more than once), we cannot determine a single grade that represents the most typical. However, we can say that the mean and median give us different insights. The mean takes into account all the grades and provides an average value, while the median represents the middle value and is not affected by extreme values. Therefore, if the distribution is symmetric and does not have outliers, the median may be a better representation of the most typical grade. However, if the distribution is skewed or has outliers, the median may be less representative, and the mean could be influenced by those extreme values.

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Tze Tong has $3,000 in his saving account that earns 3% interest. The interest earned on this amount is $90 (3% of $3,000). This represents the potential earnings Tze Tong is forgoing by investing his savings in the theater.

In the second scenario, Tze Tong borrows $4,000 from the bank at 5% interest. The interest expense on this loan is $200 (5% of $4,000). This represents the actual cost Tze Tong incurs by borrowing capital from the bank to finance his theater.

Therefore, the annual opportunity cost is calculated by subtracting the interest earned on savings ($90) from the interest expense on the loan ($200), resulting in a net opportunity cost of $110.

This cost is incurred annually, representing the foregone earnings and actual expenses associated with Tze Tong's financial decisions regarding the theater business.

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Respuesta:

5 paquetes x 12 lapices= 24€

60 lapices=24€

1 lapiz= 0.4€

¿Cuál es el precio de cada lápiz?

El precio de cada lápiz es 0.4€

Si quiere tener 100 lápices, ¿Cuánto le costará?

0.4 X 100=40€

Le costará 40€

if n decreases then the value of level of significance of each samples \(\alpha\) decreases

1. Critical Value: The value of the statistic for which the test just rejects the null hypothesis at the given significance level.

2. Power of the Test: The probability that the test correctly rejects the null hypothesis when the alternative is true.

3. Significance Level: The prescribed rejection probability of a statistical hypothesis test when the null hypothesis is true.

4. Size of the test: The probability that the test incorrectly rejects the null hypothesis when it is true.

if n decreases then the value of level of significance of each samples \(\alpha\) decreases and hence 1- \(\alpha\) increases which are called the rejection of test sample increases

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If we take a sample of 50 students from your school and measure their height , then (c) The mean of the sample data. will be a Random Variable .

A Random Variable is a defined as a variable whose value depends on the outcome of a random event.

Option (c) : the random event is the selection of 50 students from the school to measure their height. The mean height of this sample of 50 students is a random variable because it can vary depending on the specific students who are selected.

Option (a) : The true mean height of all students from your school is a population parameter and is a fixed value, so it cannot be called as a random variable.

Option (b) : The mean of the sampling distribution of mean heights for samples of size 50 is a population parameter as well, and it represents the average of all possible sample means of size 50 taken from the population. So,  it is a fixed value and not a random variable.

Therefore , The mean of the sample data will be a random variable .

The given question is incomplete , the complete question is

Suppose you take a sample of 50 students from your school and measure their height.  Which one of the following is a random variable?

(a) The true mean height of all students from your school.

(b) The mean of the sampling distribution of mean heights for samples of size 50.

(c) The mean of the sample data.

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Answer:

Step-by-step explanation:

Time/mph

The equivalent expression to 3218y = 8√3y is 4√(15) / 15y when y is not equal to zero. Option C is the correct answer.

To find an equivalent expression to 3218y = 8√3y when y is not equal to zero, we can start by dividing both sides of the equation by 8y, giving us:

3218y / 8y = 8√3y / 8y

Simplifying the right-hand side, we get:

3218 / 8 = √3

Squaring both sides, we get:

(3218 / 8)² = 3

Simplifying the left-hand side, we get:

130071.25 = 3

Dividing both sides by 3, we get:

y = 4√(15) / 15

Therefore, the expression that is equivalent to 3218y = 8√3y when y is not equal to zero is an option (C) 4√(15) / 15y. Option (D) 46y is not equivalent to the original expression because it does not involve the square root of 3. Option (A) 12V / 2y² and option (B) 46 are also not equivalent to the original expression because they involve different values and operations than those in the original expression.

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The equation of the function, g(x) from the task content is; g(x) = -x/25 + 203/25.

From observation of the function, f(x), it follows that the slope of f(x) is 25. Hence, it follows that the slope of g(x) is; -1/25 since both functions are perpendicular to each other.

Therefore, the equation for g(x) is;

-1/25 = (y-8)/(x-3)

25y -200 = -x +3

Hence, y = -x/25 + 203/25.

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Answer:

$60.00=Y× X

Step-by-step explanation:

You know she makes $60 but you need to figure out how many hours she works and how much an hour she makes working.

Answer:

Step-by-step explanation:

diameter of circle = 6 in

radius r = 3 inm

area of circle = πr² = 9π in²

area of rectangle = 25×6 = 150 in²

total area = (9π + 150) in² ≅ 178.3 in²

Answer:

20

Step-by-step explanation:

2x - 5 = x + 15

2x - x = 5 + 15

x = 20

None of the available options match the parabola's equation.

To determine the equation of a parabola, we can utilize the vertex form. Assuming we can read the coordinates (h,k) from the graph, the aim is to utilize the coordinates of its vertex (maximum point, or minimum point), to formulate its equation in the form y=a(xh)2+k, and then to determine the value of the coefficient a.

A parabola's vertex form is given by:

\(y = a(x-h)^2 + k\)

where (h,k) is the parabola's vertex.

\(y = a(x-5)^2 - 3\)

These values are substituted into the equation to produce:

\(-15 = a(2-5)^2 - 3\)

\(-15 = 9a - 3\)

\(-12 = 9a\)

\(a = -4/3\)

\(y = (-4/3)(x-5)^2 - 3\)

This equation is expanded and simplified to produce:

\(y = (-4/3)x^2 + (32/3)x - 53\)

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Answer:

if 2 length + 2 width is the perimeter, then 2(L+W)=P. if w is 1/3 of L, then W=1/3L, and from there we work back. half of 48 for just one length and one width, we have 24. we want one-third of length+length, so 4 parts. we are left with L=18 and W=6. 18+6=24, x 2= 48. I'm sorry if this was confusing, but I hope this helps!

Here books can be arranged in: a) 39,916,800 ways b) 17,280 ways c) 86,400 ways d) 86,400 ways e) 30,240 ways

a) When the books can be arranged in any order, the total number of ways is given by 11!, which is the factorial of the number of books that is 39,916,800 ways. b) We have 2! ways to arrange the group and within the group, the math books can be arranged in 6! ways and the biology books can be arranged in 5! ways which is 17,280 ways.

c) The math books can be arranged in 6! ways, and the remaining books can be arranged in 5! ways that is 86,400 ways. d) If the math and biology books must alternate, we consider them as one group. Within this group, the math and biology books can be arranged in 6! ways that is 86,400 ways.

e) When none of the biology books can be next to each other, we consider the arrangements of the math books and the spaces between them. There are 7 spaces available for the biology books to be placed, and we use the permutation formula 7P5 to calculate the number of arrangements which can be 30,240 ways.

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Answer:

150 in^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Givens

L = 9

W = 4

H = 3

Formula

SA = 2*L*w + 2*L*H + 2 * H * W

Solution

SA = 2 * 9*4 + 2*9*3 + 2*3 * 4

SA = 72 + 54 + 24

SA = 150 in^2

Answer:

h

Step-by-step explanation:

x can not repeat itself

Answer: 400 wing beats

Step-by-step explanation:

Find out the number of 30 second periods in 4 minutes.

If there are two 30 second periods in 1 minute, 4 minutes will have:

= 2 * 4

= 8

The swallow flaps its wings at 50 wing beats per 30 seconds. There are eight 30 seconds periods in 4 minutes .

= 50 * 8

= 400 wing beats

Answer:

17.5 meters

Step-by-step explanation

I included an illustration of what they are asking for.

Answer:  $736.000

Step-by-step explanation:

if u take out the 4 0s in 320.000 u will get 32 if u take out the percent of 23% u get 23 now mutiply 32 and 23 now u get 736 now add 3 0s then you have your answer

The owner thinks the deli will generate a total amount of 393,600 dollars next year.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We have been given that the deli made $320,000 in revenue last year.

Due to the increased popularity of the deli; the owner predicts that revenue will increase by 23% next year.

Therefore, 23% of the amount in revenue last year.

23% x 320,000

= 23/100 x 320,000

= 73600

Thus, Total amount = 320,000 + 73600 = 393,600

Hence,  the owner thinks the deli will generate a total amount of 393,600 dollars next year.

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Answer:

$1920

Step-by-step explanation:

to find a percent of a number, divide the percent by 100 then multiply by the value:

Step-by-step explanation:

I hope this answer is helpful ):

Answer:

y=1 x=9

Step-by-step explanation:

-4(9y) + y = -35

-36y+y=-35

-35y= -35

y=1

To check-

-4(9) + 1 = -35

-36 + 1 =-35