What is the population variance of the following set of numbers: 3, 5, 8, 9, 10? 29 6.8 7 8.5?

Answer:

Ice rental at the local skating rink is $150 for 2h. Skate rental is $3 per person. The Grade 8 class went skating. All students rented skates. The total cost was $231. How many students went skating?

y = 1/2 x -3

Explanation: the y-intercept is where it crosses the y axis so the y-intercept is -3

When all the values in a data set are written in order from least to greatest, the value that is in the middle, with an equal number of values below it and equal number of values above it is called the median.

Also, the median is at the 50th percentile, hence why there are an equal number of values above and below it.

Hope this helps!

Answer:

29=b

30=a

Step-by-step explanation:

Answer:

Greater than or >

Step-by-step explanation:

Since it is negative the -1/2 is greater than the -3.75

Hope this helps! Pls give brainliest!

Convert -3.75 to fractions

\(\\ \rm\rightarrowtail \dfrac{-375}{100}\)

\(\\ \rm\rightarrowtail \dfrac{-75}{20}\)

\(\\ \rm\rightarrowtail \dfrac{-15}{4}\)

\(\\ \rm\rightarrowtail -3\dfrac{3}{4}\)

The multiplication rule of probability is used to calculate the joint probability of two events.

This rule states that the probability of two events occurring together is equal to the probability of one event occurring, multiplied by the probability of the other event occurring, given that the first event has already occurred.

In mathematical terms, this can be written as P(A and B) = P(A) * P(B|A), where P(A) is the probability of event A occurring, P(B|A) is the probability of event B occurring given that event A has already occurred, and P(A and B) is the joint probability of events A and B occurring together.

The multiplication rule is used to calculate the probability of two events occurring together when the events are dependent on each other.

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Answer:

Step-by-step explanation:

The multiplication rule of probability is used to calculate the joint probability of two events. This rule states that the probability of two events occurring together is equal to the probability of one event occurring, multiplied by the probability of the other event occurring, given that the first event has already occurred.In mathematical terms, this can be written as P(A and B) = P(A) * P(B|A), where P(A) is the probability of event A occurring, P(B|A) is the probability of event B occurring given that event A has already occurred, and P(A and B) is the joint probability of events A and B occurring together. The multiplication rule is used to calculate the probability of two events occurring together when the events are dependent on each other.To know more about multiplication rule click here:brainly.com/question/29524604#SPJ11

(a) To find the percentage of college presidents receiving an annual housing provision exceeding $45,000 per year, we need to calculate the probability of a value greater than $45,000 based on the given normal distribution with a mean of $50,000 and a standard deviation of $5,000.

(b) To find the percentage of college presidents receiving an annual housing provision between $39,500 and $47,200 per year, we calculate the probability of a value falling within this range based on the normal distribution.

(c) To determine the housing provision such that 17.36% of college presidents receive an amount exceeding this figure, we find the corresponding value of the housing provision using the cumulative distribution function (CDF) of the normal distribution.

(a) Using the normal distribution, we can calculate the probability of a value exceeding $45,000 by finding the area under the curve to the right of $45,000. This can be done by standardizing the value using the formula z = (x - μ) / σ, where x is the value ($45,000), μ is the mean ($50,000), and σ is the standard deviation ($5,000). Then, we can look up the corresponding z-score in the standard normal distribution table to find the probability.

(b) To calculate the percentage of college presidents receiving an annual housing provision between $39,500 and $47,200 per year, we need to find the probabilities of values falling below $47,200 and $39,500 separately and then subtract the two probabilities. Similar to (a), we standardize the values and use the standard normal distribution table to find the probabilities.

(c) To find the housing provision such that 17.36% of college presidents receive an amount exceeding this figure, we need to find the value that corresponds to the 17.36th percentile of the normal distribution. This can be done by finding the z-score that corresponds to the desired percentile using the standard normal distribution table, and then converting it back to the original scale using the formula x = μ + zσ, where x is the desired value, μ is the mean, z is the z-score, and σ is the standard deviation.

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The measure of angle 4 is 45.6( nearest degree)

Two angles are complementary when the sum of the two angles is 90°. For example if x and y are complementary, then x+y = 90°.

Example of complementary angles are 50 and 40 , 30 and 60 , 25 and 65 e.t.c

Since angle 3 and angle 4 are complementary, therefore, 5x -15 + 3x+10 = 90

5x -15 + 3x+10 = 90

collect like terms

5x+3x -15 +10 = 90

8x -5 = 90

8x = 95

x = 95/8

x = 11.875

Therefore the measure of angle 4 is

3( 11.875) + 10

= 35.625 + 10

= 45.6 (nearest degree)

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Answer:

No, since they fail the Triangle Inequality Theorem as 16 + 21 is less than 39.

Step-by-step explanation:

Thus, the three side lengths fail the Triangle Inequality Theorem so they can't form a triangle.

Answer:

Will does.

Step-by-step explanation:

Will earns $260 for working 13 hrs. multiply that by 2.  260 x 2 is 520. 13 x 2 is 26. Will earns $520 for working 26 hours. Joey earns $450 for working 36 hours. Will has a better rate of pay because he earns more than joey does, and he earns more while working less hours than joey. joey earns less money than will and he also works more hours.

The scale of the map is 1 dm : 25 km

From the question, we have the following parameters that can be used in our computation:

Mathematical statement

The mathematical statement is given as

50 km in real distance is 2dm on a map

The scale is then calculated as

Scale = Map distance :  Actual distance

Substitute the known values in the above equation, so, we have the following representation

Scale = 2 dm : 50 km

Divide by 2

Scale = 1 dm : 25 km

Hence, the scale is 1 dm : 25 km

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Answer: True.

A frequency histogram is a graph that uses vertical columns to represent the frequency or count of a data point or range of data points in a set of data. The x-axis typically represents the range of data values, divided into intervals or bins, and the y-axis represents the frequency or count of data values falling within each bin. The height of each column represents the frequency of data values in that bin.

Histograms are commonly used in statistics to display the distribution of a dataset, especially for large datasets or continuous data. They are useful for showing the shape, center, and spread of a distribution, as well as identifying outliers or unusual features.

Step-by-step explanation:

Maria must cut an additional $70 from her expenses each month in order to save enough money to buy a new TV that costs $420 in 6 months. By allocating this additional amount towards her savings goal, she will be able to reach her target within the desired timeframe. It's important for Maria to review her budget and identify areas where she can reduce expenses in order to make room for the additional savings. This could involve cutting back on discretionary spending, finding ways to save on daily expenses, or exploring opportunities to increase her income.

Maria must cut an additional $70 from her expenses each month.

To determine how much additional money Maria must cut from her expenses each month to afford a new TV that costs $420 in 6 months, we divide the total cost by the number of months.

Additional money per month = Total cost / Number of months

Additional money per month = $420 / 6

Additional money per month = $70

With careful planning and commitment to her budget, Maria can achieve her goal of purchasing a new TV without compromising her financial stability.

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Answer:

The mode is the number that occurs the most in a set of data. You can use a stem-and-leaf plot to find the mean, median and mode of a set of data.

Mode is less useful in a stem and leaf diagram since it doesn't directly highlight the most frequent value, it's more suited for showing data distribution and patterns.

In a stem and leaf diagram, the mode is not as useful as in other types of data representations like histograms or bar charts.

The primary purpose of the mode is to identify the most frequently occurring value in a dataset,

which can be easily seen in histograms or bar charts.

In a stem and leaf diagram, the data is organized in a way that directly displays the individual data points while preserving the original data values.

The mode is not explicitly highlighted in this representation, making it less efficient to identify the most frequent value(s) compared to other methods.

The stem and leaf diagram is more useful for showing the distribution of data, identifying patterns,

and giving an overall sense of the spread of data, but it doesn't provide a clear visual representation of the mode.

For mode identification, other graphical representations or simply listing the data with frequencies would be more appropriate.

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In the point (r, θ), r signifies the distance from O to P, while θ represents the angle counterclockwise from the polar axis to the line segment ¯¯¯¯¯¯¯¯OP.

For the point (r, θ), r is the distance from O to P, and θ is the angle counterclockwise from the polar axis to the line segment ¯¯¯¯¯¯¯¯OP.

In polar coordinates, a point is represented by its distance (r) from the origin (O) and the angle (θ) it forms with the positive x-axis. The distance (r) denotes the length of the line segment connecting the origin to the point P. It indicates how far the point is from the origin. The angle (θ) represents the rotation or angular position of the line segment ¯¯¯¯¯¯¯¯OP from the polar axis (positive x-axis) in a counterclockwise direction. It determines the direction in which the point is located relative to the polar axis.

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Answer:

It is a number 10 thank u very much ok ok

4x^8+5x^2+9x-7

The degree is the largest exponenet of the variable x:

x^8 = }

Number = 8

Name = octic

Answer:

Step-by-step explanation:

To solve for the measure of Angle N with the given side lengths, you need to find the inverse tangent (tan^-1). You use the tangent because you have the opposite and adjacent side lengths of the angle.

The step by step solution:

tan(<N)=1.7/6.7

<N=tan(^-1)1.7/6.7

<N=14 degrees

The tension developed in the cable AB required to support the traffic light is 607.29 N.

The answer would involve using the equation for tension.

Tension is defined as the force that is transmitted through a rope, string, or wire when it is pulled tight by forces acting on its ends. Tension is a pulling force that acts in the opposite direction of gravity.

It can be calculated using the equation T=mg+ma, where T is the tension, m is the mass of the object being pulled, g is the acceleration due to gravity, and a is the acceleration of the object.

The tension developed in the cable AB required to support the traffic light, which has a mass of 15.5 kg can be determined using the equation:

T = mg + ma

Here, the mass of the traffic light is given as 15.5 kg. The acceleration due to gravity is 9.81 m/s².

The acceleration of the object is 0 since it is not moving.

Therefore, the tension in the cable AB is given by:

T = 15.5 x 9.81 x 4T = 607.29 N

Thus, the tension developed in the cable AB required to support the traffic light is 607.29 N.

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Answer:

p=-5

Step-by-step explanation:

have a lovely day!!

The total surface area of the figure that will enable Lisa to find the total cost per square is: 42 ft²

To find the total surface area of the figure that will enable Lisa to find the total cost per square area, we need to find both areas of rectangle and parallelogram and add up. Thus:

Area of rectangle = Length * Width

Area = 5 * 6

Area = 30 ft²

The formula for the area of the parallelogram is:

Area = Base * perpendicular height

Area = 3 * √(5² - 3²)

Area = 3 * 4

Area = 12 ft²

Total surface area = 30 + 12

Total surface area = 42 ft²

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A sample of size n = 8 from a Normal(p, o) population results in a sample standard deviation of s=5.4. A 95% lower bound for the true population standard deviation is \(\sigma >3.809\)

The Chi-Square distribution and the provided information:

sample size (n = 8), sample standard deviation (s = 5.4), and a 95% confidence level.

Our goal is to find the lower bound for the true population standard deviation (\(\sigma\)).
Identify the degrees of freedom (df)
\(df = n - 1 = 8 - 1 = 7\)
Find the Chi-Square value corresponding to the given confidence level and degrees of freedom.
For a 95% confidence level and 7 degrees of freedom, the Chi-Square value \((X^2)\)is 14.067.
Calculate the lower bound for the population standard deviation (σ)
Using the formula for the lower bound of the standard deviation:
\(\sigma > \sqrt {[(n - 1) \times s^2 / X^2]}\)
Plug in the given values:
\(\sigma > \sqrt {[(7) \times (5.4)^2 / 14.067]}\)
\(\sigma > \sqrt {[(7) \times (29.16) / 14.067]}\)
\(sigma > \sqrt {[(203.12) / 14.067]}\)
\(\sigma > \sqrt (14.431)\)
\(\sigma > 3.80\)
Based on the calculations, the correct answer is:
E: \(\sigma > 3.80\)

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Answer:

IT'S A BELIEVE PLZZZZZZZz

Step-by-step explanation:

Answer:

The cost at Store A is $2.00 greater than at Store B.

Step-by-step explanation:

i had the same quiz this was correct

The frequency distribution table of the data is illustrated below.

The data we have been given represents the percentage of people who have completed 4 or more years of college education in different states. To create a frequency distribution, we need to first decide on the number of classes we want to use. In this case, we will use 7 classes.

Next, we need to determine the range of values for each class. To do this, we first find the minimum and maximum values in the data set, which are 18.9 and 37.9, respectively.

The range of values for each class will be (max value - min value) / number of classes, which in this case is (37.9 - 18.9) / 7 = 2.86.

We will start with the first class, which will include all values from 18.9 to 21.76 (the lower limit of the first class plus the range of values for each class). The next class will include values from 21.76 to 24.62, and so on, until we reach the final class which will include all values from 33.18 to 36.04 (the upper limit of the final class plus the range of values for each class).

To create the frequency distribution, we count the number of values in the data set that fall into each class. For example, the first class includes values between 18.9 and 21.76, and there are 2 values in the data set that fall into this range (21.4 and 20.0). We continue this process for each class until we have a table that shows the frequency of values in each class.

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Complete Question:

Percentage of People Who Completed 4 or More Years of College Listed by state are the percentages of the population who have completed 4 or more years of a college education. Construct a frequency distribution with 7 classes.

21.4,26.0,25.3,19.3,29.5,35.0,34.7,26.1,25.8,23.4,27.1,29.2,24.5,29.5,22.1,24,3,28.8,20,0,20.4,26.7,35.2,37.9,24.7,31.0,18.9,24.5,27.0

Answer:

Tom weighs 5 times as much as Nicholas

Step-by-step explanation:

To find how many times as much as Nicholas Tom weighs, we will divide Tom's weight by Nicholas' weight. This is done as follows:

Tom's weight = 168.5 pounds

Nicholas' weight = 33.7 pounds

Dividing both weights = 168.5 ÷ 33.7 = 5

∴ Tom weighs 5 times as much as Nicholas

Answer:

$252.5625

Step-by-step explanation:

9.75×53/4+10.50×47/4

129.1875+123.375

=252.5625

hope it helpsss

can you mark me as the brainliest?

a) The center of G and determining the distinct conjugacy classes, we can calculate the class equation of the finite group G.

b) We have shown both implications: if a Sylow p-subgroup is normal, then it is unique, and if it is unique, then it is normal.

(a) Deriving the class equation of a finite group G involves partitioning the group into conjugacy classes. Conjugacy classes are sets of elements in the group that are related by conjugation, where two elements a and b are conjugate if there exists an element g in G such that b = gag^(-1).

To derive the class equation, we start by considering the group G and its conjugacy classes. Let [a] denote the conjugacy class containing the element a. The class equation is given by:

|G| = |Z(G)| + ∑ |[a]|

where |G| is the order of the group G, |Z(G)| is the order of the center of G (the set of elements that commute with all other elements in G), and the summation is taken over all distinct conjugacy classes [a].

The center of a group, Z(G), is the set of elements that commute with all other elements in G. It can be written as:

Z(G) = {z in G | gz = zg for all g in G}

The order of Z(G), denoted |Z(G)|, is the number of elements in the center of G.

The conjugacy classes [a] can be determined by finding representatives from each class. A representative of a conjugacy class is an element that cannot be written as a conjugate of any other element in the class. The number of distinct conjugacy classes is equal to the number of distinct representatives.

By finding the center of G and determining the distinct conjugacy classes, we can calculate the class equation of the finite group G.

(b) To prove that a Sylow p-subgroup of a finite group G is normal if and only if it is unique, we need to show two implications: if it is normal, then it is unique, and if it is unique, then it is normal.

If a Sylow p-subgroup is normal, then it is unique:

Assume that P is a normal Sylow p-subgroup of G. Let Q be another Sylow p-subgroup of G. Since P is normal, P is a subgroup of the normalizer of P in G, denoted N_G(P). Since Q is also a Sylow p-subgroup, Q is a subgroup of the normalizer of Q in G, denoted N_G(Q). Since the normalizer is a subgroup of G, we have P ⊆ N_G(P) ⊆ G and Q ⊆ N_G(Q) ⊆ G. Since P and Q are both Sylow p-subgroups, they have the same order, which implies |P| = |Q|. However, since P and Q are subgroups of G with the same order and P is normal, P = N_G(P) = Q. Hence, if a Sylow p-subgroup is normal, it is unique.

If a Sylow p-subgroup is unique, then it is normal:

Assume that P is a unique Sylow p-subgroup of G. Let Q be any Sylow p-subgroup of G. Since P is unique, P = Q. Therefore, P is equal to any Sylow p-subgroup of G, including Q. Hence, P is normal.

Therefore, we have shown both implications: if a Sylow p-subgroup is normal, then it is unique, and if it is unique, then it is normal.

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Part A. A system of equations that represents the situation is as follows:

Part B. Solving the system of equations shows that x = $3 and y = $5.

A system of equations or simultaneous equations are two or more equations solved concurrently.

                      Fuzzy Socks   Nail Polish    Total Cost

Ceynailla              2                    4                 $26

Juanita                 5                    2                 $25

Let the unit cost of each pair of fuzzy socks = x

Let the unit cost of each jar of nail polish = y

2x + 4y = 26 ... Equation 1

5x + 2y = 25 ... Equation 2

Multiply Equation 2 by 2:

10x + 4y = 50 ... Equation 3

Subtract Equation 1 from Equation 3:

10x + 4y = 50

-

2x + 4y = 26

8x = 24

x = 3

= $3

Substitute x = 3 in either equation 1 or 2:

2x + 4y = 26

2(3) + 4y = 26

6 + 4y = 26

4y = 20

y = 5

y = $5

Thus, using a system of equations, the unit cost of each pair of fuzzy socks, x, is $3 while the unit cost of each jar of nail polish, y, is $5.

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