may I get some help? I don’t really know if the answer is -155 or -2475

This question is incomplete, the complete question is;

Suppose John is a high school statistics teacher who believes that watching many hours of TV leads to lower test scores. Immediately after giving the most recent test, he surveyed each of the 24 students in his class and asked them how many hours of TV they watched that week. He then matched each student's test grade with his or her survey response. After compiling the data, he used hours of TV watched to predict each student's test score. He found the least-squares regression line to be y"  = -1.5x + 85.

He also calculated that the value of r, the correlation, was -0.61.

what is the correct value of the coefficient of determination R² and give a correct interpretation of its meaning

Answer:

Interpretation of coefficient of determination R² = 0.3721

R² = 0.3721, meaning 37.21% of the total variation in test scores can be explained by the least square regression line

Step-by-step explanation:  

Given the data in the question;

the least square regression line is;

y"  = -1.5x + 85

the correlation coefficient r = -0.61

Now, the coefficient of determination R² is square of correlation coefficient r

R² = -61²

R² = 0.3721

The simplified ratio of total marbles to red marbles is 27 to 8

In this question, we have the following parameters

Blue marbles = 24

Red marbles = 16

White marbles = 14

The above parameters mean that

Total marbles = sum of the individual marbles

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

Total marbles = 24 + 16 + 14

Evaluate

Total marbles = 54

The ratio is then represented as

Ratio = Total : Red

This gives

Ratio = 54 : 16

Simplify ratio

Ratio = 27 : 8

Hence, the simplified ratio is 27 : 8

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The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.

The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.

The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.

The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).

Based on this information, we can draw the following conclusions:

The graph will be a U-shaped curve with the vertex at (1, -9).

The vertex represents the minimum point of the parabola since it opens upward.

The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.

The graph will extend indefinitely in both directions.

To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.

Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.

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The preparation of Shirish's Capital Account to be presented to his executor is as follows:

Shirish

Date           Transaction              Debit          Credit

31st March Beginning balance                    100,000

30th June  Share of profits for Shirish         35,000

                  Share of Goodwill                       70,000

30th June  Ending balance     205,000

Profit sharing ratio of  Shirish, Harit and Asha = 5:4:1

i) Profit for the year 2016-17 was 60,000

Profit for 2017-18 = 80,000

Average profit = 70,000 (140,000/2)

Share of profits for Shirish = 35,000 (70,000 x 5/10)

(ii) Goodwill at 2 years' purchase of average of last two years' profits = 140,000 (70,000 x 2)

Share of Goodwill = 70,000 (140,000 x 5/10)

Thus, the capital account shows that the executor of Shirish will be getting 205,000 from the former partnership.

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The mean, mean deviation mode, median standard deviation, and coefficients of variation, CV, are as follows;

1. The mean deviation about the mean, median mode are;

2.653, 3.709, and 3.709, respectively

The coefficients of variation are;

0.364, 0.337, 0.337, respectively

The variance is about 9.462

The standard deviation is about 3.076

2. Section A has a higher relative dispersion than section B

3. City 2

4. a. Mean ≈ 43.85

b. Mode 40 - 54 inches

c. Median ≈ 45.16

The variance ≈ 125.8056

Standard deviation ≈ 11.216

Coefficient of variation ≈ 0.268

The coefficient of variation of a data quantifies or is a measure of the variability of the values in the set of data.

The mean for the data can be calculated as follows;

Mean  = (3×10 + 6×15 + 11×25 + 2×6 + 4×4 + 10×3 + 5×2 + 7×8 + 8×9 + 9×4)/(10+15+25+6+4+3+2+8+9+4) ≈ 7.29

The median is the 86/2 value = 43rd value

10 + 15 + 25 = 50

Therefore, the median is in the class with a frequency of 25, which is 11

The mode of the data, which is the value with the highest frequency in the data set is 11

The mean deviation from the mean is therefore;

(|3 - 7.29|×10 + |6 - 7.29|×15 + |11 - 7.29| ×25 + |2 - 7.29| ×6 + |4 - 7.29| ×4 + |10 - 7.29| ×3 + |5 - 7.29| ×2 + |7 - 7.29|×8 + |8 - 7.29| ×9 + |9 - 7.29| ×4)/(10+15+25+6+4+3+2+8+9+4) ≈ 2.653

The coefficient for the mean deviation about the mean is therefore; 2.653/7.29 ≈ 0.364

The mean deviation about the median is therefore;

(|3 - 11|×10 + |6 - 11|×15 + |11 - 11| ×25 + |2 - 11| ×6 + |4 - 11| ×4 + |10 - 11| ×3 + |5 - 11| ×2 + |7 - 11|×8 + |8 - 11| ×9 + |9 - 11| ×4)/(10+15+25+6+4+3+2+8+9+4)

The mean deviation about the median = 319/86 ≈ 3.709

The coefficient ≈ 3.709/11 ≈ 0.337

The median = The mean deviation about the mode ≈ 3.709

The coefficient is about 0.337

The variance = (10×(3 - 7.29)² + 15×(6 - 7.29)² + 25×(11 - 7.29)² + 6×(2 - 7.29)² + 4×(4 - 7.29)² + 3×(10 - 7.29)² + 2×(5 - 7.29)² + 8×(7 - 7.29)² + 9×(8 - 7.29)² + 4×(9 - 7.29)²)/(10+15+25+6+4+3+2+8+9+4) ≈ 9.462

The standard deviation, s ≈ √(9.462) ≈ 3.076

2. The coefficient of variation, CV, can be used to compare the variability of the datasets comprising of different scales as follows;

CV = Standard deviation/( The mean of the data)

Therefore; CV for section A = 23/79 ≈ 0.2911

CV for section B = 11/64 ≈ 0.172

The higher CV value for section A indicates that the scores of section A have a higher relative dispersion than the scores for the section B

3. The consistency values can be obtained by finding the standard deviation for the values in the data for each city, using a web based tool as follows;

City 1; Mean = 23

Variance = 50/4

Standard deviation, City 1 = (√(50))/2 = 5·√2/2

City 2; Mean = 21.8

Sample variance = 2.2

Standard deviation, City 2 = √(2.2) ≈ 1.483

City 3; Mean = 29.2

Sample variance = 18.7

Standard deviation, City 3 = √(18.7) ≈ 4.324

The standard deviation of city 2, which is the smallest compared tom the other cities, indicates that the City 2, has the most consistent temperature

4. The mean of the data obtained from the data using the midpoint of the data, is; Mean = ∑fx/∑f

Therefore; The mean obtained using an online tool is; 43.85

The mode is the data that occurs most frequently, which is the data with the value; 40 - 54 inches

The median is the value at the middle of the data set, which is the value with a frequency of 53, and in the interval 40 - 54 inches

The median is; 39.5 + (54.5 - 39.5) × (50 - 30)/53 ≈ 45.16

The standard deviation found for the grouped data, using an online tool is as follows;

Variance, σ² ≈125.8056

The standard deviation, σ ≈ √(125.8056) ≈ 11.216

The coefficient of variation is; 11.216/41.83 ≈ 0.268

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Answer:

1%

Step-by-step explanation:

Answer:

1% pf the population scored above you

Step-by-step explanation:

make brainliest

Completing the table using the rounded values showing the relative frequencies is as follows:

Column Relative Frequency Table

                            Men         Women        Total

January - June    25%            25%             25%

July - December 75%             75%             75%

Total                   100%           100%           100%

Relative frequency shows the quotient between the number of events and the total number of possible events occurring.

The quotient of relative frequency is expressed over 100 to show the result in percentage terms.

Frequency Table

                            Men   Women    Total

January - June      21           19         40

July - December  62          58        120

Total                     83          77         160

Column Relative Frequency Table

                            Men                Women           Total

January - June    25% (21/83)     25% (19/77)        25% (40/160 x 100)

July - December 75% (62/83)     75% (58/77)       75% (120/160 x 100)

Total                   100%                100%                  100% (160/160 x 100)

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Answer:

X= -1

Y= -4

That's the answer I believe

5x - 3y = 7

First, Add 3y to both sides

5x - 3y + 3y = 7 + 3y

5x = 3y + 7

Then, Divide both sides by 5

\(\frac{5x}{5}\) = \(\frac{3y + 7}{5}\)

\(x = \frac{3}{5} y\) + \(\frac{7}{5}\) (Answer to #1)

-3x - 3x - 5 = 23

First, we will simplify both sides of the equation

-3x + -3x + -5 = 23

Next, We will combine like terms

(-3x + -3x) + (-5) = 23

-6x + -5 = 23

-6x - 5 =23

Then, we will Add 5 to both sides

\(\frac{-6x}{-6}\) = \(\frac{28}{-6}\)

x = \(\frac{-14}{3}\) (Answer to #2)

Answer:

A

Step-by-step explanation:

This can be rearranged as 4^3 * 1/(4^6)

or (4^3)/(4^6)

This can be changed to:

(4^3)/((4^3)*(4^3)

Which is equal to 1/(4^3)

or

4^(-3)

Answer: C

Step-by-step explanation: it has to go like this a m

Using exponential function, The total number of foxes that will remain after 4 years is 1534.

A mathematical function with the formula f (x) = an x is an exponential function. where an is a constant known as the function's base and x is a variable. The transcendental number e, or roughly 2.71828, is the exponential-function base that is most frequently encountered.

We employ the exponential function because...

In the biological sciences, exponential functions are frequently employed to simulate the evolution of a certain quantity over time, such as population number. Experimental data graphs are often created with the quantity on the y-axis and the time on the x-axis.

Using exponential function,

P(t) = A . b^t

Formulate: 3746 based on the provided conditions. (1 - 20%) ⁴

Analyze the following formula or expression: 1534.3616

he total number of foxes that will remain after 4 years is 1534

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to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below

\((\stackrel{x_1}{0}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{4}-\stackrel{y1}{2}}}{\underset{\textit{\large run}} {\underset{x_2}{6}-\underset{x_1}{0}}} \implies \cfrac{ 2 }{ 6 } \implies \cfrac{ 1 }{ 3 }\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{ \cfrac{ 1 }{ 3 }}(x-\stackrel{x_1}{0})\implies {\Large \begin{array}{llll} y=\cfrac{ 1 }{ 3 }x+2 \end{array}}\)

Step-by-step explanation:

100g (jam) = 57g(stb) + 17g (blb)+ Xg (sugar)

Xg (sugar) = 100g (jam) - 57 g(stb) - 17 g (blb)

Xg (sugar) = 26g(sugar)

Ratio of blb to sugar is 17/26. As the prime factor for 26 are 2 and 13 , 17/26 is the simplest form of the ratio of blackberries to sugar .

Here's how I will do it:

1. Recite the Pythagorean theorem, which is \(a^{2} +b^{2} =c^{2}\)

2. Substitute the variables of a and b, so the equation will look like this \(3^{2} +6^{2} =c^{2}\) now.  

3. Simplify the equation which gives you, \(9+36=c^{2}\). Simplifying more would give you \(45=c^{2}\).

4. Solve for the c value :

\(c=\sqrt{45}\)
Plug this into a calculator and it will give you 6.70820....
Rounding to the nearest tenth will give you, about 6.7.

The length of the hypotenuse of a right triangle can be calculated using the Pythagorean theorem: c^2 = a^2 + b^2.

Given that a = 3 meters and b = 6 meters, we can substitute those values into the equation:

c^2 = 3^2 + 6^2

c^2 = 9 + 36

c^2 = 45

c = sqrt(45)

c = 6.7 meters

Rounding to the nearest tenth, c = 6.7 meters becomes c = 6.7 meters.

Answer:

I think the answer is 1/9

Step-by-step explanation:

I did the equations by using a tree diagram to explain it but

The number of hours spent by Mabel to edit the 15 minute long video according to the task content is; 20 hours.

According to the task content, it can be inferred that for a 3 minute video, Mabel spends 4 hours.

On this note, it follows from proportion that the time taken by Mabel to edit the 15 minute video would be; 4hours × 5 = 20 hours.

Hence, the time taken to edit the 15minute long video is; 20 hours.

hi

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The GCD of 5! and 7! is 2^3 * 3^1 * 5^1 = 120.

the greatest common divisor of 5! and 7! is 120.

To find the greatest common divisor (GCD) of 5! and 7!, we need to factorize both numbers and identify the common factors.

First, let's calculate the values of 5! and 7!:

5! = 5 * 4 * 3 * 2 * 1 = 120

7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5,040

Now, let's factorize both numbers:

Factorizing 120:

120 = 2^3 * 3 * 5

Factorizing 5,040:

5,040 = 2^4 * 3^2 * 5 * 7

To find the GCD, we need to consider the common factors raised to the lowest power. In this case, the common factors are 2, 3, and 5. The lowest power for 2 is 3 (from 120), the lowest power for 3 is 1 (from 120), and the lowest power for 5 is 1 (from both numbers).

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Answer: The function would have a minimum value because the least you will ever have is 0$. It cannot go below 0, so that is the minimum. However, depending on how much time has passed, the maximum amount of money you have can change. It can always go up more, so there is no set maximum.

Step-by-step explanation:

The solution to the given inequality is x<2. Therefore, option C is the correct answer.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is |x|+1<3.

Here, subtract 1 on both the sides of an inequality, we get

x<2

Therefore, option C is the correct answer.

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Answer:

  (b)  a1 = 6, a(n) = a(n -1) +5

Step-by-step explanation:

It helps to recognize the form of a recursive definition for an arithmetic sequence. It looks like ...

  \(a_1=\text{(first term)},\ a_n=a_{n-1}+d\qquad\text{for common difference $d$}\)

Only one of the offered answer choices has this form. That is the correct choice.

Answer:

80+30h

Step-by-step explanation:

Answer:

Rene made = 90 on her math test

If she answer =20problems correctly

we know,

how many problem were there = ?

there where = 90-20

= 70

There where 70 problems

The equation when solved for the variable b is  b = 2v/ah. Option C

The subject of formula in an equation is described as the variables that is made to stand alone on one end of the equality sign.

The variables is being worked out in the equation.

From the information given, we have that;

V= 1/2 abh

Such that;

Then,

cross multiply

2V = abh

Divide both sides by ah

b = 2V/ah

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It should be noted that the number of sample size based on the information will be 300.

In order to calculate the sample size, we can use the following formula:

n = z² * p * (1-p) / E²

n = 1.96² * 0.5 * (1-0.5) / 0.05²

= 300

A questionnaire is a method of gathering data that makes use of written questions to be answered by the respondents. It is a popular method of data collection because it is relatively easy to administer and can be used to collect a wide variety of information.

In the first column, the population is the entire National Capital Region (NCR). The sample is the city of Manila. In the second column, the population is all STEM students. The sample is all academic track students. In the third column, the population is all the tablespoons of sugar in the jar. The sample is one tablespoon of sugar. In the fourth column, the population is all the vowels in the word "juice". The sample is the vowel "i".

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the original price was really "x", which oddly enough is the 100%, but today the collar is on sale at 15% off, that means the sale price is 100% - 15% = 85% of the original price, and we happen to know that's $3.91, so

\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} x & 100\\ 3.91& 85 \end{array} \implies \cfrac{x}{3.91}~~=~~\cfrac{100}{85} \\\\\\ \cfrac{x}{3.91} ~~=~~ \cfrac{20}{17}\implies 17x=78.2\implies x=\cfrac{78.2}{17}\implies x=4.6\)

Answer:

-2 + 3x

Step-by-step explanation:

-0.2(10) = -2

-0.2(-15x) = 3x

Answer:

10x³ - 7x² - 7x + 4

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

(10x³ - 3x - 5) - (7x² + 4x - 9)

Step 2: Simplify