can someone help me i dont know what to do here please Explain and answer

The effect on the correlation coefficient if the additional data point was added would be a decrease.

The correlation coefficient is a measure of the linear relationship between two variables. A value of 0.93 indicates a strong positive linear relationship. The additional data point (7,30) is an outlier, meaning that it is far away from the rest of the data points.

Outliers can have a significant impact on the correlation coefficient, especially if there are few data points. In this case, the outlier would pull the correlation coefficient down. The new correlation coefficient is approximately 0.85.

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Reject the null hypothesis

How to find comparison distribution?

The comparison distribution is a t-distribution with four degrees of freedom (df = n-1 = 5-1 = 4). Our significance level is .05, and we will be conducting a two-tailed test.

Using a t-table with four degrees of freedom and a significance level of .05, the critical values for a two-tailed test are ±2.776.

t = (Mdiff - 0) / (SDdiff / sqrt(n))

Where Mdiff is the mean difference in speeds before and after the workshop, SDdiff is the standard deviation of the differences, and n is the number of pairs of scores.

Mdiff = 65 - 582 + 60 - 564 + 70 - 665 + 68 - 60 + 62 = -199

SDdiff = sqrt([(-65+582)^2 + (-60+564)^2 + (-70+665)^2 + (-68+60)^2 + (-62+65)^2] / (n-1)) = 29.17

n = 5

t = (-199 - 0) / (29.17 / sqrt(5)) = -4.02

The calculated t-statistic (-4.02) is less than the critical value (-2.776) at a significance level of .05, and it falls in the rejection region of the t-distribution. Therefore, we can reject the null hypothesis and conclude that the workshop has a significant effect on the speeds of the five convicted speeders.

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The vertical stretch of f(x) will be -2f(x), 5.5f(x) - 1, 7f(x)

As is well known, the vertical stretch of f(x) occurs when the value of the parameter is changed in the following general form:

When a constant c with a value larger than one is scaled across the board of a function, it results in a vertical stretch. It is written as the vertical stretch from the original function f(x) to the new, stretched function g(x)=cf(x) where c>1 g ( x ) = c f ( x ) where c > 1.

f(k(x-d)) = y = a+ c

when |a| exceeds 1 since The function is stretched vertically by a dilation factor of |a| when |a| > 1 (when a > 1).

Thus, we select F, D, and A.

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The full question:

Consider the function f(x). Select all of the following that includes a vertical stretch of f(x)

A. -2f(x)

B. 0.25f(x)

C. -f(x) + 6

D. 5.5f(x) - 1

E. f(x) + 9

F. 7f(x)

The expression that will help to calculate the area of the figure is A = (n-6)² and the area will be 25 units² when n = 11.

A term may be a number, a variable, the product of two or more variables, a number and a variable, or any combination of these.

A single term or a collection of phrases can be used to create an algebraic expression.

For instance, 4x and y are the two terms in the formula 4x + y.

So, we have a square as a figure.

The side of the figure is (n - 6).

Now, the expression to find the area of the square will be:

A = (n-6)²

Now, evaluate when n = 11 as follows:

A = (n-6)²

A = (11-6)²

A = (5)²

A = 25 units²

Therefore, the expression that will help to calculate the area of the figure is A = (n-6)² and the area will be 25 units² when n = 11.

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Answer:

117

Step-by-step explanation:

38 + x + y = 180

x + y = 142

180 - 101 = 79

x + 79 = 142

x = 63

180 - 63 = 117

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The volume V of a cube is given by

where L is the lenght of one side. Hence, the side L measures

In the first case, the dog kennel has 27 ft^3 of volume, hence

that is, L is 3 feets of lenght.

In the same way, for the second case we have that,

that is, in the second case, L is 4 feet of lenght. This means that, 1 foot was added to each edge of the dog kennel.

Answer:false 5-(-3)<8

Step-by-step explanation:

8 is not less than 8

Answer:

there is no expression

Step-by-step explanation:

there is no expression

Answer:

The opportunity cost is $85.

Step-by-step explanation:

The scheduled for work = 10 hours.

Money that Amber makes by earning =  $8.50 per hour.

Total money earned by Amber = 10 ×8.50 = $85

The fee of the filed trip = $30

Now we have to find the filed trip’s opportunity cost. Since we know that the opportunity cost is the amount that is left in order to get the best alternative. Therefore, if Amber goes on a field trip then he has to forgive the earning. So, the total earning $85 is the opportunity cost.

A)an = 2*2^(n-1)`. B) `The sum of the first n fractions is `2*(2^n - 1)`.

a. The sequence is a geometric sequence with the first term `a1 = 2` and common ratio `r = 2`.Therefore, the nth term `an` is given by:`an = a1*r^(n-1)`

Substituting `a1 = 2` and `r = 2`, we have:`an = 2*2^(n-1)`

b. To find the sum of the first n terms, we use the formula for the sum of a geometric series:`S_n = a1*(1 - r^n)/(1 - r)

`Substituting `a1 = 2` and `r = 2`, we have:`S_n = 2*(1 - 2^n)/(1 - 2)

`Simplifying:`S_n = 2*(2^n - 1)

`The sum of the first n fractions is `2*(2^n - 1)`.As `n` gets larger and larger, the sum approaches `infinity`.

Thus, the sum is getting closer and closer to infinity.

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The rate at which lemons are being used in cups of lemonade per lemon is 0.83 cups of lemonade per lemon

To find the rate at which lemons are being used in cups of lemonade per lemon, we need to divide the number of cups of lemonade produced by the number of lemons used.

In this case, 5 cups of lemonade are produced from 6 lemons, so the rate at which lemons are being used in cups of lemonade per lemon is:

5 cups of lemonade ÷ 6 lemons = 0.83 cups of lemonade per lemon (rounded to two decimal places)

the rate at which lemons are being used in cups of lemonade per lemon is 0.83 cups of lemonade per lemon

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The measure of angle x is given as follows:

x = 48º.

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the formulas presented as follows:

For angle x, we have that:

Hence we apply the sine ratio to obtain the measure of x as follows:

sin(x) = 7/9.4

x = arcsin(7/9.4)

x = 48º.

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For breakfast, you have had 1/2 a serving of cereal and 1/4 cup of raisins, which count as one serving of fruit.

For breakfast, you have had one serving of cereal and one serving of fruit. In general, one serving of cereal is considered to be one cup, while one serving of fruit is considered to be one half cup. Therefore, in your bowl of oatmeal, you would have had two servings of cereal, and in your quarter cup of raisins, you would have had one serving of fruit. For lunch, you have had one serving of fruit in your glass of orange juice.

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Answer:

b

Step-by-step explanation:

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Answer:

3

Step-by-step explanation:

I like the number 3.

The total area of the shaded sections is approximately 30.5 cm².

To find the total area of the shaded sections in the rectangle inscribed in a circle, we need to subtract the area of the rectangle from the area of the circle.

First, let's find the area of the rectangle. The length of the rectangle is 8 cm and the width is 6 cm. The area of a rectangle is given by the formula: Area = length * width. Therefore, the area of the rectangle is 8 cm * 6 cm = 48 cm².

Next, let's find the area of the circle. The diameter of the circle is given as 10 cm, so the radius (r) of the circle is half the diameter, which is 10 cm / 2 = 5 cm. The area of a circle is given by the formula: Area = π * r², where π is a mathematical constant approximately equal to 3.14159. Therefore, the area of the circle is 3.14159 * (5 cm)² = 3.14159 * 25 cm² ≈ 78.54 cm².

Finally, to find the total area of the shaded sections, we subtract the area of the rectangle from the area of the circle: Total area = Area of circle - Area of rectangle = 78.54 cm² - 48 cm² ≈ 30.54 cm².

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Based on the price of the cell phone in November and December, the price of the cell phone in March was $39

To find the price of the cell phone in March, you need to first find the price of the cell phone in November.

The price of the cell phone in November was $25 more than the price in December:

= 25 + 53

= $78

The price in November was double the price in March so the price in March was:

= 78 / 2

= $39

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Answer:

It is a gain.

Step-by-step explanation:

CLEAR STATEMENT:

Given that the fruit seller buys 10 apples for 45Rs each from wholesale market.

This implies her buys them for 10 × 45Rs = 450Rs.

UNCLEAR STATEMENT:

He packs them in a fruit basket for 40 and sells them each for 20 baskets Rs. 600.

ASSUMING:

What you are trying to say is that he bought baskets for 40Rs, and sold the apples for 600Rs.

Subtracting his expenses from this value, we have

600Rs - 450Rs - 40Rs = 110Rs

Since this amount is positive, we conclude that it is a gain of 110Rs.

In δcab, point e is the midpoint of segment ac and point d is the midpoint of segment bc. If the measure of segment ab is 8 units, the measure of segment segment ed is equal to 2 units.

We know that point e is the midpoint of segment ac and point d is the midpoint of segment bc. Given that the measure of segment ab is 8 units.We know that the midpoint divides a line segment into two equal parts. Therefore, the measure of segment ae is equal to the measure of segment ec and the measure of segment bd is equal to the measure of segment dc. We can represent this

as:ab = ae + eb (1)

ab = bd + dc (2)

Given that ae = ec and

bd = dc Therefore, substituting the above values in equations (1) and (2), we get From equations (3) and (4), we have: 2ae + eb = 2bd + dc Given that point e is the midpoint of segment ac and point d is the midpoint of segment bc, we can say that becomes:

2ae + eb = 2bd + dc

2ae = 2bd Since

ae = bd

= ec = dc, it implies that

ae + ed = ab8

= 2ae + ed

On substituting the value of 2ae in the above equation, we have:8 = 2bd + ed

Therefore,ed = 8 - 2bd

ed = 8 - 2(4)ed = 0

Thus, the measure of segment segment ed is equal to 2 units.

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Ruchi is incorrect because 2.81×10⁴ is around 30,000. so the units must be smaller than feet.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

As it is given that the measurement that Ruchi wrote is 2.81×10⁴ ft². And, the area of 2.81×10⁴ ft² is 28,100 ft² which is nearly 30,000 ft², while the size of an average house is 2,300 ft². Therefore, the area that is written by Ruchi is too big compared to an average kitchen.

Hence, Ruchi is incorrect because 2.81×10⁴ is around 30,000 so the units must be smaller than feet.

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The token has eight possible moves: four cardinal directions (up, down, left, right) and four diagonal directions (left-up, right-up, left-down, right-down).

If we consider a token positioned on an arbitrary square of a grid, and we are allowed to move the token diagonally to the adjacent right-up square, we can determine the number of possible moves.

Let's assume the token is on a square in a grid, and let's label the directions as follows:

```

1  2  3

4  T  5

6  7  8

```

where T represents the token, and the numbers 1-8 represent the possible directions the token can move.

In this scenario, the token can move in the following ways:

1. Move left (direction 4)

2. Move right (direction 5)

3. Move up (direction 2)

4. Move down (direction 7)

5. Move diagonally left-up (direction 1)

6. Move diagonally right-up (direction 3)

7. Move diagonally left-down (direction 6)

8. Move diagonally right-down (direction 8)

Therefore, the token has eight possible moves: four cardinal directions (up, down, left, right) and four diagonal directions (left-up, right-up, left-down, right-down).

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Using Gaussian elimination, the complete solution to the system of equations is (w, x, y, z) = (-8/19, 54/95, 39/19, 0).

To solve the system of equations using Gaussian elimination, we first write the augmented matrix:

\(\begin{bmatrix}1 & -4 & -1 & | & -5 \\0 & 5 & -2 & | & 5 \\0 & 9 & 1 & | & 6 \\0 & 1 & -2 & | & 1 \\\end{bmatrix}$$\)

Next, we perform row operations to reduce the matrix to row echelon form:

R2 = R2 - R1:

\(\begin{bmatrix} 1 & -4 & -1 & -5 & \big| & -21 \\ 0 & 5 & -2 & 5 & \big| & 6 \\ 1 & 5 & 0 & 1 & \big| & 23 \\ 0 & 1 & -2 & 1 & \big| & 6 \end{bmatrix}\)

R3 = R3 - R1:

\(\begin{bmatrix}1 & -4 & -1 & -5 & | & -21 \\0 & 5 & -2 & 5 & | & 6 \\0 & 9 & 1 & 6 & | & 44 \\0 & 1 & -2 & 1 & | & 6 \\\end{bmatrix}\)

R3 = R3 - 9R2:

\(\begin{bmatrix}1 & -4 & -1 & -5 & | & -21 \\0 & 5 & -2 & 5 & | & 6 \\0 & 0 & 19 & -39 & | & -14 \\0 & 1 & -2 & 1 & | & 6\end{bmatrix}\)

R4 = R4 - R2:

\(\begin{bmatrix}1 & -4 & -1 & -5 \\0 & 5 & -2 & 5 \\0 & 0 & 19 & -39 \\0 & 0 & 0 & -4\end{bmatrix}\)

Now we have the row echelon form of the augmented matrix, and we can solve for the variables using back substitution. From the last row, we have -4z = 0, so z = 0.

Substituting this into the third row, we get 19y = 39, or y = 39/19. Substituting these values into the second row, we get 5x - 10(39/19) = 6, or x = 54/95. Finally, substituting all three values into the first row, we get w = -8/19.

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Answer:

The mean would decrease.

Step-by-step explanation:

If the mean score of 24 students is 77.

The total score of 24 students = 24 x 77 = 1848

If the outlier is removed, the mean would become

New total score / number of students = (1848 - 89) / (24 - 1)

1759/23 = 76.5

It can be seen that the mean decreased.

Answer:

The mean would decrease.

Step-by-step explanation:

i took the test

Class width is 10.

Lower class limit is 100.

Upper class limit is 110 of the first class.

A histogram is a visual depiction of data points arranged into ranges that the user has chosen. The histogram, which resembles a bar graph in appearance, groups numerous data points into comprehensible ranges or bins in order to compress a data series into an easily understood visual. In statistics, histograms are frequently used to show the frequency of a particular type of variable within a given range. Analysts can customize histograms in a number of different ways. They are able to alter the space between buckets. The sample given above has eight buckets with a ten-bucket spacing. Four buckets with a 20-second interval could be used instead.

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Answer:

D. 12

Step-by-step explanation:

You need to subtract the largest number and the smallest, so it would be 12-0, getting an answer of 12.

The units of your measurements will determine the square units of your final result

Calculating the area of a shape is reliant on determining how many square units can be accommodated within the perimeter, without gaps or overlaps.

Here are instructions to help determine this for various shapes:

Rectangle or Square:

Start by gauging both the length (l) as well as width (w) measurements of the rectangle/square.

Compute the dimensions by multiplying the pre-existing values which in turn will give you the overall area; Area = l × w.

The concluding value shall be measured in square units such as e.g., square centimeters, and square inches.

Triangle:

Begin by gauging two factors -- base (b), and height (h) of the triangle. The height refers to the perpendicular measurement from one end of a baseline to its opposite vertex.

Next, obtain the magnitude of the intended dimension by computing the product of base and height measurements before dividing by 2 which leads to arriving at the final area figure: Area = (b × h) / 2

This resultant figure also measures in square units.

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The question in English is:

Deepa uses square units to find the area of ​​the figure

This is an incomplete question, so a general overview was provided above.

Answer:

(-4,-9)

Step-by-step explanation:

vertex form: y=a(x-h)^2+k

hk=vertex of x and y

inside parentheses=horizontal (opposite signs)

that’s why it’s -4 instead of 4 for h (x) while -9 stays the same since it’s not inside the parentheses

The NPV is positive, it is worth taking the Investment.

Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.

This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:

NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.

The given problem can be solved by using the following steps:

Calculate the present value (PV) of the expected cash inflows:

Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82

Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39

Since the NPV is positive, it is worth taking the investment.

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Answer:

D. 25% decrease

Step-by-step explanation:

Since it's clear that they read less books to find how much it decreased we multiply 100 with 15 then divide it by 20

100 × 15 ÷ 20 = 75 this result shows a 25% decrease.

For the number of colored border tiles needed for any NxN square centre, the expression is 4N+4.

To find an expression for the number of coloured border tiles needed for any NxN square centre, Break down the problem step by step.

Consider a square with side length N, The border will have a width of one tile.

Calculate the dimensions of the larger square:

Add a border of width one tile around the original square, the dimensions of the larger square (including the border) will be (N+2) x (N+2).

Calculate the area of the larger square: The area of the larger square is given by the product of its dimensions:

Area of the larger square = (N+2)*(N+2)

Calculate the area of the border: The area of the border is the difference between the area of the larger square and the area of the original square:

Area of border = Area of larger square−Area of the original square

Calculate the number of coloured tiles needed for the border:

Since each tile corresponds to a unit of area, the number of coloured border tiles needed is equal to the area of the border:

Number of coloured border tiles = Area of border

Putting it all together:

Number of coloured border tiles = (N+2)*(N+2)- (N*N)

= 4N+4

The border tile required is 4N+4.

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