Can someone help me with this question? Look at the image!

Variance and standard deviation are both measures of the dispersion or spread of a dataset, but they differ in terms of the unit of measurement.

Variance is the average of the squared differences between each data point and the mean of the dataset. It measures how far each data point is from the mean, squared, and then averages these squared differences. Variance is expressed in squared units, making it difficult to interpret in the original unit of measurement. For example, if we are measuring the heights of individuals in centimeters, the variance would be expressed in square centimeters.

Standard deviation, on the other hand, is the square root of the variance. It is a more commonly used measure because it is expressed in the same unit as the original data. Standard deviation represents the average distance of each data point from the mean. It provides a more intuitive understanding of the spread of the dataset. For example, if the standard deviation of a dataset of heights is 5 cm, it means that most heights in the dataset are within 5 cm of the mean height.

To illustrate the application of these measures, consider a dataset of test scores for two students: Student A and Student B.

If Student A has test scores of 80, 85, 90, and 95, and Student B has test scores of 70, 80, 90, and 100, we can calculate the variance and standard deviation for each student's scores.

The variance for Student A's scores might be 62.5, and the standard deviation would be approximately 7.91. For Student B, the variance might be 125 and the standard deviation would be approximately 11.18.

These measures help us understand how much the scores deviate from the mean, and how spread out the scores are within each dataset.

Learn more about standard deviation here:-

https://brainly.com/question/23986929

#SPJ11

Answer:

Sure, where is the activity

Answer:

where is it?

Step-by-step explanation:

Answer:

7 because 7x = 49 is 7 because 7 goes to itself 1 and to 49 7

The correct statement is: The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.

The rate of change in a linear function represents how the dependent variable (in this case, height) changes with respect to the independent variable (time). To find the rate of change in this scenario, we can calculate the slope of the line that goes through the given points (2, 3) and (4, 6).

The slope of a line is determined by the change in the y-values divided by the change in the x-values. In this case, the change in y is 6 - 3 = 3 inches, and the change in x is 4 - 2 = 2 years.

Therefore, the rate of change is 3 inches / 2 years = 1.5 inches per year. This means that for every additional year of growth, the plant's height increases by an average of 1.5 inches.

Now, let's analyze the given statements:

1. The rate of change of a linear function is always the same.

  This statement is true. In a linear function, the rate of change (slope) remains constant throughout the entire graph.

2. The rate of change of a linear function always increases as the input increases.

  This statement is not necessarily true. The rate of change can be positive or negative, depending on whether the line slopes upward or downward.

3. The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.

  This statement is true. We calculated the rate of change to be 1.5 inches per year.

4. The rate of change from 0 years to 6 years on the graph is 1.5 inches per year.

  This statement is not necessarily true. The rate of change may vary depending on the specific section of the graph being considered. However, we only calculated the rate of change between 2 and 4 years, so we cannot determine the rate of change over a larger time frame based on this information.

For more such questions on graph

https://brainly.com/question/31611385

#SPJ8

Answer:

31.

Step-by-step explanation:

-21 + 31 = 10

x + y = 10

y = 31

The graph representing the given function g(x) = 45 + 9x is as drawn in the attachment.

We are given the equation of line as;

g(x) = 45 + 9x

Where;

x represents the number of hours studied.

g(x) represents the test score

Thus, to plot this graph, we need to input some x values and find their corresponding g(x) values

At x = -10;

g(x) = 45 + 9(-10)

g(x) = -45

At x = -1;

g(x) = 45 + 9(-1)

g(x) = 35

At x = 0;

g(x) = 45 + 9(0)

g(x) = 45

At x = 1;

g(x) = 45 + 9(1)

g(x) = 54

At x = 2;

g(x) = 45 + 9(2)

g(x) = 63

At x = 3;

g(x) = 45 + 9(3)

g(x) = 72

Read more about Linear Equation Graph at; https://brainly.com/question/26148595

#SPJ1

The null hypothesis (H₀) is that the proportion of customers who try out the samples is equal to 0.15, and the alternative hypothesis (H₁) is that the proportion of customers who try out the samples is more than 0.15

In order to determine whether the proportion of customers who try out the samples being offered is more than 0.15, we'll need to set up null and alternative hypothesis for this test.

The null hypothesis (H₀) is the statement that there is no difference or effect, and in this case, it would state that the proportion of customers who try out the samples is equal to 0.15. Mathematically, we can represent this as:
H₀: p = 0.15

The alternative hypothesis (H₁) is the statement that contradicts the null hypothesis, asserting that there is a difference or effect. In this case, it would state that the proportion of customers who try out the samples is more than 0.15. Mathematically, we can represent this as:
H₁: p > 0.15

In summary, for this test, the null hypothesis (H₀) is that the proportion of customers who try out the samples is equal to 0.15, and the alternative hypothesis (H₁) is that the proportion of customers who try out the samples is more than 0.15.

To know more about "Null hypothesis" refer here:

https://brainly.com/question/30535681#

#SPJ11

Answer:

n;

Convection; Radiation; Insulation.

PLTS/Gatsby:

Effective participants;

Independent Enquirers.

Compare group 1, 7 and 8 elements.

The BIG question

is… What is the trend in reactivity in the alkali metals, halogens and noble gases

REVISE for the cycle one assessment.

How are the elements in the periodic table different from one another?

How and why have different species evolved over time?

How is heat transferred?

Construct

WSHUTUP

Step-by-step explanation:

The length and width of the rectangle is 17 cm and 13 cm .

Let's assume the width of the rectangle to be x cm.

According to the question, the length of the rectangle is 4cm longer than its width.

Therefore, the length will be (x + 4) cm.

Now, Perimeter of the rectangle will be:

Perimeter = 2(length + width)

Substituting the values of length and width in the given formula, we get:

P = 2(x + 4 + x)

i.e., P = 2(2x + 4)

i.e., P = 4x + 8                                         ...(1)

According to the question, the perimeter of the rectangle is 60cm. Substituting this value in the equation (1), we get:

4x + 8 = 60

Now, subtracting 8 from both sides, we get:

i.e., 4x = 52

And, dividing both sides by 4, we get:

i.e., x = 13

Therefore, the width of the rectangle is 13 cm.

Now, substituting the value of width in the formula, we get:

L = x + 4

i.e., L = 13 + 4

i.e., L = 17

Therefore, the length of the rectangle is 17 cm.

Hence, the dimensions of the rectangle are 13 cm x 17 cm.

To learn more about the rectangle, click here,

https://brainly.com/question/29123947

https://brainly.com/question/28993977

Answer:

9875 dollars I believe is your answer

Answer:

9,875

Step-by-step explanation:

u just multiply the number of boxes by 395

Answer:

56

Step-by-step explanation:

48 ounces would feed 6 people and if 16 oz is for two people than 8 oz is for one person. So, 48 plus 8 is 56.

Modulus function has no solution.

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.

Nothing can ever be 0 in an expression of an absolute value. That is a phrase for an absolute value that has been entirely lowered and must be larger than or equal to zero.

There are no solutions to an absolute value expression if, after simplifying it, the value on the opposite side is a negative number or has a negative sign.

Hence, the Modulus function has no solution.

Learn more about function, by the following link.

https://brainly.com/question/25638609

#SPJ4

The game of matching pennies has a mixed strategy Nash equilibriumIn the game of matching pennies, there are two players, Player 1 and Player 2.

Each player can choose to either show heads (H) or tails (T) by flipping a penny. The payoff matrix for the game is as follows:

       Player 2

        H    T

Player 1

H       1   -1

T      -1    1

A Nash equilibrium is a strategy profile where no player can unilaterally change their strategy to obtain a higher payoff.

In the game of matching pennies, if Player 1 chooses heads, Player 2 would want to choose tails to maximize their payoff. Similarly, if Player 1 chooses tails, Player 2 would want to choose heads. This implies that Player 2 can't have a pure strategy Nash equilibrium since they would have an incentive to switch their strategy based on Player 1's choice.

However, in the game of matching pennies, there exists a mixed strategy Nash equilibrium. Both players can choose their strategies randomly with equal probabilities. For example, Player 1 can choose heads with a probability of 0.5 and tails with a probability of 0.5, while Player 2 can choose heads with a probability of 0.5 and tails with a probability of 0.5.

In this case, neither player has an incentive to change their strategy since the expected payoffs are the same regardless of the opponent's strategy. Thus, the mixed strategy Nash equilibrium is achieved when both players randomize their choices equally.

Therefore, the game of matching pennies has a mixed strategy Nash equilibrium.

To learn more about equilibrium click here:

brainly.com/question/32538118

#SPJ11

Answer:

3d

Step-by-step explanation:

3 miles per day

if he runs for two days he runs 6 miles 3(2)

etc etc

The maximum possible profit is achieved when the shop sells a certain number of watches, determined by finding the maximum point of the profit function P(x) = 432 + 1.2x - 0.02x^2.

To find the maximum possible profit, we need to determine the number of watches the shop should sell. The profit function is given as P(x) = 432 + 1.2x - 0.02x^2, where x represents the number of watches sold.

To find the maximum point, we look for the critical point where the derivative of the profit function is zero. We differentiate P(x) with respect to x, obtaining dP(x)/dx = 1.2 - 0.04x.

Setting dP(x)/dx = 0, we solve for x: 1.2 - 0.04x = 0, which gives x = 30.

Thus, the maximum possible profit is achieved when the shop sells 30 watches. By substituting x = 30 into the profit function P(x), we can determine the value of the maximum profit attained.

learn more about Differentiation here: brainly.com/question/24062595

#SPJ11

Answer:

-16

Step-by-step explanation:

Answer:

89

Step-by-step explanation:

Answer:

Step-by-step explanation:

The distance between B and C is ... 10. M(7, 1), N(4, –1). eSolutions Manual - Powered by Cognero. Page 2 ... Find the coordinates of G if F(1, 3.5) is the midpoint of ... Find the distance between each pair of points. ... approximated by a straight line, estimate the length of ... relationship between AB and each segment if you.

Answer:

£21

Step-by-step explanation:

We know

Three women earned a total of £36. They shared the £36 in a ratio of 7:3:2. Meaning for every £12, one receives £7, one receives £3, and one receives £2.

Donna receives the largest amount working out the amount Donna receives.​ Meaning Donna receives £7.

To get from 12 to 36, we time 3.

We take

7 x 3 =  £21

So, Donna receives £21

Answer: 16%

Step-by-step explanation:

1. 60% not working = 40% working

2. 40% ^ 2, or 40% x 40% = 16%

The smallest number of eggs that could have been in the box is 1134

The problem is to find the smallest number of eggs that could have been in the box, given the remainder when taking them out by different numbers. Here are the moves toward tackling it:

Allow n to be the quantity of eggs in the container. Then we have the accompanying arrangement of congruences:

n ≡ 1 (mod 2)

n ≡ 1 (mod 3)

n ≡ 1 (mod 4)

n ≡ 1 (mod 5)

n ≡ 1 (mod 6)

n ≡ 0 (mod 7)

For this problem, we have k = 6 k = 6, a i = {1,1,1,1,1,0} a_i = {1,1,1,1,1,0}, M i = {1260,840,630,504,420,720} M_i = {1260,840,630,504,420,720}, and y i = {−1,−2,−3,-4,-5,-6} y_i = {-1,-2,-3,-4,-5,-6}.

Plugging these values into the formula and simplifying modulo 5040, we get:

n = (−1260 + −1680 + −1890 + −2016 + −2100 + 0) mod 5040

n = (−8946) mod 5040

n = (−3906) mod 5040

n = 1134 mod 5040

Therefore, the smallest number of eggs that could have been in the box is 1134

to know more about congruences click here:

https://brainly.com/question/30818154

#SPJ4

If the dog has a z-score of -1.09, his weight is 48.46kg but if the dog has a z-score of 1.09, his weight is 61.54kg according to given standard deviation.

What is standard deviation?

Standard Deviation is a measure that shows what quantity variation (such as unfold, dispersion, spread,) from the mean exists. the quality deviation indicates a “typical” deviation from the mean. it's a well-liked live of variability as a result of it returns to the first units of live of the info set.

Main body:

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = x- υ/σ

Given that μ = 55, σ = 6;

For x = 49:

z = 49 - 55/6

z = -1

If the dog has a z-score of -1.09, his weight is:

-1.09 = x -55/6

x - 55 = -6.54

x = 48.46

If the dog has a z-score of 1.09, his weight is:

1.09 = x - 55/6

x -55 = 6.54

x = 61.54

Hence ,If the dog has a z-score of -1.09, his weight is 48.46kg but if the dog has a z-score of 1.09, his weight is 61.54kg

To know more about standard deviation , visit:

brainly.com/question/475676

#SPJ4

To achieve an average cost per text message of $0.05 on the monthly cell phone plan, a certain number of additional text messages beyond the first 300 need to be used.

The monthly cell phone plan charges a fixed amount of $5.00 for the first 300 text messages and an additional $0.15 for each extra message. To find the number of text messages needed to achieve an average cost of $0.05 per message, we can set up an equation.

Let's denote the total number of text messages used as "x" (including the first 300 messages). The cost for the first 300 messages is $5.00, and the cost for the additional messages is (x - 300) * $0.15. The total cost is the sum of these two amounts.

To find the average cost per message, we divide the total cost by the number of messages: (5 + 0.15 * (x - 300)) / x = 0.05. By solving this equation, we can determine the value of x, which represents the number of text messages needed to achieve an average cost per message of $0.05.

Learn more about average cost: brainly.com/question/29509552

#SPJ11

To achieve an average cost per text message of $0.05 on the monthly cell phone plan, a certain number of additional text messages beyond the first 300 need to be used.

The monthly cell phone plan charges a fixed amount of $5.00 for the first 300 text messages and an additional $0.15 for each extra message. To find the number of text messages needed to achieve an average cost of $0.05 per message, we can set up an equation.

Let's denote the total number of text messages used as "x" (including the first 300 messages). The cost for the first 300 messages is $5.00, and the cost for the additional messages is (x - 300) * $0.15. The total cost is the sum of these two amounts.

To find the average cost per message, we divide the total cost by the number of messages: (5 + 0.15 * (x - 300)) / x = 0.05. By solving this equation, we can determine the value of x, which represents the number of text messages needed to achieve an average cost per message of $0.05.

Learn more about average cost: brainly.com/question/29509552

#SPJ11

If Merchant A operates on a rate of markup on cost of 45% and later marks the price of items down to their cost, the percentage decrease is 31.0%.

To calculate percentages to the nearest 0.1%, we round the values to one decimal place.

a. If Merchant A operates on a rate of markup on cost of 45%, we can calculate the marked price by adding the markup to the cost. To find the selling price, we divide the marked price by (1 + markup rate).

For example, if the cost of an item is Rs. 100, the marked price would be Rs. 100 + (45% of 100) = Rs. 100 + Rs. 45 = Rs. 145.

Now, if the marked price is later reduced to the cost, we can calculate the percentage decrease by finding the difference between the marked price and the cost, dividing it by the marked price, and multiplying by 100.

For the given scenario, the percentage decrease would be ((Rs. 145 - Rs. 100) / Rs. 145) * 100 = 31.0%. Therefore, the percentage decrease to the nearest 0.1% is 31.0%.

Learn more about percentage here:

https://brainly.com/question/28463297

#SPJ11

Answer:  the future value of $7,000, given that it will be invested for five years at an annual interest rate of 6 percent, would be approximately:

a. $8,677.10 when compounded annually.
b. $8,774.04 when compounded semiannually.
c. $8,802.77 when compounded bimonthly.

To calculate the future value of $7,000, we need to use the formula for compound interest:

Future Value = Principal * (1 + Rate/Compounding Period)^(Compounding Period * Time)

a. For the first part of the question, we need to calculate the future value of $7,000 when invested for five years at an annual interest rate of 6 percent. Since the interest is compounded annually, the compounding period is 1 year.

Using the formula, we have:

Future Value = $7,000 * (1 + 0.06/1)^(1 * 5)

Simplifying this calculation:

Future Value = $7,000 * (1 + 0.06)^5

Future Value = $7,000 * (1.06)^5

Future Value ≈ $8,677.10

b. For the second part, we need to recalculate the future value using different compounding periods:

1) Semiannually:
In this case, the compounding period is 0.5 years. Using the formula:

Future Value = $7,000 * (1 + 0.06/0.5)^(0.5 * 5)

Simplifying this calculation:

Future Value = $7,000 * (1 + 0.12)^2.5

Future Value ≈ $8,774.04

2) Bimonthly:
In this case, the compounding period is 1/6 years (since there are 12 months in a year and 2 months in each compounding period). Using the formula:

Future Value = $7,000 * (1 + 0.06/1/6)^(1/6 * 5)

Simplifying this calculation:

Future Value = $7,000 * (1 + 0.36)^5/6

Future Value ≈ $8,802.77

So, the future value of $7,000, given that it will be invested for five years at an annual interest rate of 6 percent, would be approximately:

a. $8,677.10 when compounded annually.
b. $8,774.04 when compounded semiannually.
c. $8,802.77 when compounded bimonthly.

Learn more about Future Value calculations:

https://brainly.com/question/24703884

#SPJ11

The solution of the system of equations using Cramer's rule is x = 37/39 and y = 9/39.

The solution of the system of equations using Cramer's rule is calculated as follows;

The given equations are as follows;

9x - 2y = -9

-3x - 8y = 1

The determinant of the coefficient matrix is calculated as;

D = [9      -2]

      [-3     -8]

D = -8(9) - (-3 x - 2)

D = -72 - 6 = -78

The x coefficient is calculated as;

Dx = [-2      -9]

       [ -8       1]

Dx = -2(1) - (-8 x -9)

Dx = -2 - 72 = -74

The y coefficient is calculated as;

Dy = [9      -9]

       [ -3       1]

Dy = 9(1) - (-3 x -9)

Dy = 9 - 27 = -18

The x and y values is calculated as;

x = Dx/D  = -74/-78 = 74/78 = 37/39

y = Dy/D = -18/-78 = 18/78 = 9/39

Learn more about Cramer's rule here: https://brainly.com/question/10445102

#SPJ1

Answer:

156 as per the question

Answer:

156xq

Step-by-step explanation:

12⋅13  

156

Answer:

(a+4)(a-4)=a²-4²   ITS LIKE THIS BECAUSE ITS AN IDENTITY,

               ⇒a²-16

Even when we solve it by the regular method of solving polynomials we get a²-16 as answer as there and thats the proof for the identity.

(a+b)(a-b)=a(a-4)+4(a-4)

⇒a²-4a+4a-16

⇒a²-16[NOTE:-4a+4a=0]

Thus we can see that a²-16 is the answer we get when we try to solve it by regular polynomial solution tooo.

And a²-16 is the polynomial from which we get (a+4)(a-4)

Answer:

-a^2-a+12

Step-by-step explanation:

(-a+3)(a+4)

-a^2-4a+3a+12

-a^2-a+12