Three times a week tina walks 3/10 mile from school to library studies for 1 hour and then walks home 4/10 mile home. how much more will she need to walk to win a prize

Alright! Let's go step by step. We want to understand how the house size relates to the number of residents. In other words, as the number of residents changes, how does the size of the house change? This relationship can be represented by a linear regression equation. The general form of a linear regression equation is:

y = m*x + b

Here:

- y is the dependent variable (in our case, the house size).

- x is the independent variable (in our case, the number of residents).

- m is the slope of the line (how much y changes for a unit change in x).

- b is the y-intercept (the value of y when x is 0).

We'll use the data you provided to calculate 'm' and 'b'. There are different ways to calculate these values, but I'll use a method that is relatively simple to understand:

m = (N * Σ(xy) - Σx * Σy) / (N * Σ(x^2) - (Σx)^2)

b = (Σy - m * Σx) / N

Where:

- N is the number of data points (in our case, 15).

- Σ stands for summation (sum of all values).

Now, let's calculate 'm' and 'b' using the data you provided:

Number of Residents(x) | House size (Sq. ft)(y) | xy | x^2

------------------------|------------------------|----|-----

3                      | 1992                   |5976|9

3                      | 1754                   |5262|9

3                      | 1766                   |5298|9

5                      | 2060                   |10300|25

6                      | 2293                   |13758|36

6                      | 2139                   |12834|36

3                      | 1836                   |5508|9

4                      | 1924                   |7696|16

6                      | 2321                   |13926|36

4                      | 2060                   |8240|16

3                      | 1769                   |5307|9

4                      | 1955                   |7820|16

5                      | 2309                   |11545|25

4                      | 1857                   |7428|16

4                      | 1972                   |7888|16

Σx = 66

Σy = 30999

Σxy = 120978

Σ(x^2) = 282

Plug these values into our formulas:

m = (15 * 120978 - 66 * 30999) / (15 * 282 - 66^2)

  ≈ 305.91

b = (30999 - 305.91 * 66) / 15

  ≈ 905.27

So our linear regression equation is:

House size = 305.91 * (Number of Residents) + 905.27

Now, let's predict the house size for a family of 5 residents:

House size = 305.91 * 5 + 905.27

           ≈ 2444.82 Sq. ft

This means that, according to our linear regression model, a family of 5 residents would need a house size of approximately 2445 square feet.

Answer:

the directrix and focus the axis of symmetry (goes through the focus, at right angles to the directrix) the vertex (where the parabola makes its sharpest turn) is halfway between the focus and directrix.

Step-by-step explanation:

The surface area of right triangular prism of height 3 in, base 8 in, slop 5 in and  width 4 in is 76  in².

Surface area is a measure of the total area occupied by the surfaces of a three-dimensional object. 

It is the sum of the areas of all the faces, including the base(s), of the object.

The units for measuring surface area are squared units, such as square meters or square inches.

To find the surface area of a right triangular prism, we need to add the areas of all of its faces.The prism has two congruent triangular faces and three rectangular faces.

The area of ​​every single triangle face is (1/2)bh, where b is the base of the triangle and h is its height.

In this case, the base is 8 in and the height is 5 in, so the area of each triangular face is (1/2)(8)(5) = 20  inches². Since there are two triangular faces, their combined area is 2(20) = 40 inches².

The area of ​​each rectangular face is lw.

In this case, the width is 4 in and the height is 3 in, so the area of each rectangular face is (4)(3) = 12 inches². Since there are three rectangular faces, their combined area is 3(12) = 36 inches²

Therefore, the total surface area of the right triangular prism is the sum of the areas of all its faces:

Surface area = 2(triangular face area) + 3(rectangular face area)

Surface area = 2(20) + 3(12)

Surface area = 40 + 36

Surface area = 76 inches²

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£36

20+25=45          Take away 13 and it's 32.   32+4 (the shipping charge) is 36. So Ruth pays 36 pounds.

The polynomial is not a perfect square trinomial. This is false..

It should be noted that a perfect squares trinomial is the algebraic expression which has the form of ax² + bx + c.

The equation given is 9x² - 30x + 25. This will be expanded as:

9x² - 30x + 25.

9x² - 15x - 15x + 25

3x(3x - 5) - 5(3x - 5)

= (3x - 5)(3x - 5)

In this case, 9x² - 30x + 25 is a perfect square binomial of 3x - 5 and not a trinomial.

Therefore, the correct option is false.

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The value of x is 13.85.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

From the figure,

(7x + 1)° and (6x - 1)° makes a straight angle.

This means,

(7x + 1) + (6x - 1) = 180

7x + 1 + 6x - 1 = 180

13x = 180

x = 180/13

x = 13.85

Thus,

x is 13.85°

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Answer:

x=-3

Step-by-step explanation:

5x+3=2x-6

-2x (both sides)

3x+3=-6

-3 (both sides)

3x=-9

divided by 3 (both sides)

answer is x=-3

Answer:

x= -3

Step-by-step explanation:

Answer:

Angle RST is a translation of Angle UVW

Step-by-step explanation:

Answer:

aw man I wanted brainly

Step-by-step explanation:

Answer:

To convert a base-10 pure fraction to a base-n pure fraction (where n is a decimal integer greater than or equal to 2), we use the multiplication method. Here are the conversions for 0.610595703125D to base-2, base-8, and base-16:
1. Conversion to Base-2:
To convert 0.610595703125D to base-2, we need to repeatedly multiply the fractional part by 2, taking the integer part at each step. We stop when the fractional part becomes 0 or when we have obtained the required number of digits after the decimal point.
0.610595703125D * 2 = 1.22119140625D → 1
0.22119140625D * 2 = 0.4423828125D → 0
0.4423828125D * 2 = 0.884765625D → 0
0.884765625D * 2 = 1.76953125D → 1
0.76953125D * 2 = 1.5390625D → 1
0.5390625D * 2 = 1.078125D → 1
0.078125D * 2 = 0.15625D → 0
0.15625D * 2 = 0.3125D → 0
0.3125D * 2 = 0.625D → 0
0.625D * 2 = 1.25D → 1
0.25D * 2 = 0.5D → 0
0.5D * 2 = 1D → 1
Therefore, 0.610595703125D in base-2 is 0.100111000101B.
2. Conversion to Base-8:
To convert 0.610595703125D to base-8, we need to repeatedly multiply the fractional part by 8, taking the integer part at each step. We stop when the fractional part becomes 0 or when we have obtained the required number of digits after the decimal point.
0.610595703125D * 8 = 4.884765625D → 4
0.884765625D * 8 = 7.078125D → 7
0.078125D * 8 = 0.625D → 0
0.625D * 8 = 5D → 5
0D * 8 = 0D → 0
0D * 8 = 0D → 0
0D * 8 = 0D → 0
0D * 8 = 0D → 0
Therefore, 0.610595703125D in base-8 is 0.4715162O.
3. Conversion to Base-16:
To convert 0.610595703125D to base-16, we need to repeatedly multiply the fractional part by 16, taking the integer part at each step. We stop when the fractional part becomes 0 or when we have obtained the required number of digits after the decimal point.
0.610595703125D * 16 = 9.76953125D → 9
0.76953125D * 16 = 12.3125D → C
0.3125D * 16 = 5D → 5
0D * 16 = 0D → 0
0D * 16 = 0D → 0
0D * 16 = 0D → 0
0D * 16 = 0D → 0
0D * 16 = 0D → 0
Therefore, 0.610595703125D in base-16 is 0.9C5.

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In order to have negative correlation between two variables the covariance must be negative.

What is correlation?

The degree to which two variables are linearly related is expressed by the statistical concept of correlation (meaning they change together at a constant rate). It is a typical technique for outlining straightforward connections without stating cause and effect.

The correlation between two variables x and y is,

\(r = \frac{Cov(x, y)}{S_x*S_y}\)

where,

Cov(x, y) is the covariance between x and y.

\(S_x\) and \(S_y\) respectively denotes the standard deviation of x and y.

If the correlation is negative then  r < 0.

Now r < 0

\(\frac{Cov(x, y)}{S_x*S_y} < 0\\Cov(x, y) < 0\\Sx > 0, S_y > 0\)

If r < 0 the Cov(x, y) < 0.

In order to have negative correlation between two variables the covariance must be negative.

Hence, in order to have negative correlation between two variables the covariance must be negative.

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Step-by-step explanation:

-5x+2y= 4         <==== Multiply entire equation by -3 to get:

15x-6y = -12  

2x+3y= 6          <====  Multiply entire equation by 2 to get :

4x+6y = 12    Add the two underlined equations to eliminate 'y'

19x = 0     so x = 0

sub in x = 0 into any of the equations to find:  y = 2

(0,2)

Answer:

164 cm^2

Step-by-step explanation:

lets find square of triangle first

corner ABD is 90 degrees coz corner ABC is 180 degrees and EBC is 90

(sum of all angles of a quadrilateral is 360,

B = 360 - C - F - E

360 - 90 - 90 - 90 = 90)

BD = CF - DE

BD = 16 - 8 = 8 cm

S ABD = AB * BD / 2 (coz corner B is 90 degrees)

S ABD = 13 * 8 / 2 = 13 * 4 = 52 cm^2

lets find square of BEFC next

S BEFC = CF * EF ( B = C = F = E = 90 so thats a rectangle)

S BEFC = 16 * 7 = 70 + 42 = 112 cm^2

finally lets find total area

S = S ABD + S BEFC = 52 + 112 = 164 cm^2

The probability it will have a sample mean life of greater than 48 days is  96%.

The probability that it will have a sample mean life of greater than 48 days is calculated as follows;

The mean stadard error is calculated as follows

M.S.E = σ / √n

where;

M.S.E = 6.2 / √30

M.S.E = 1.13

The z-score of the data set is calculated as follows;

z = (x - μ) / M.S.E

where;

z = (48 - 46) / 1.13

z = 1.77

From normal distribution table, z-score of 1.77 corresponding to probability of 0.96 = 96%

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Hence,  when \(n=10\) the given inequality is true.

What is the inequality?

An inequality is said to be sharp if it cannot be relaxed and still be valid in general.

Here given that,

Which integer will make the inequality \(2(n + 2) < 5(n -1)\) true.

So,

\(2(n + 2) < 5(n-1)\)

When

\(n=10\\\\\\2(10+2) < 5(10-1)\\\\2(12) < 5(9)\\\\24 < 45\)

Hence,  when \(n=10\) the given inequality is true.

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The 95% confidence interval that the true mean income for parking meters in the resort community falls between $3.14 and $5.28 per day.

To find the 95% confidence interval for the true mean income of parking meters in the resort community, we can use a t-distribution since our sample size is small (n=10).
First, we need to find the sample mean and standard deviation. The sample mean is simply the average of the incomes:
x = 4.21
The sample standard deviation can be found using the formula:
s = √[ Σ(xi - x)² / (n-1) ]
Now that we have the sample mean and standard deviation, we can use a t-distribution to find the 95% confidence interval. We need to find the t-value with 9 degrees of freedom (n-1), since our sample size is 10.
Using a t-table or calculator, we can find that the t-value with 9 degrees of freedom and a 95% confidence level is approximately 2.262.
The formula for the confidence interval is:
CI = x ± (t-value x s / √n)
Plugging in the values:
CI =($3.14, $5.28)
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The specification as an absolute value inequality is l w - 18 l ≤ 0.1.

Given:

A furniture maker uses the specification 17.9≤w≤18.1 for the width w in inches of a desk drawer.

m = 17.9 + 18.1 / 2

= 36/2

= 18

t = 18.1 - 17.9

= 0.2/2

= 0.1

l w - 18 l ≤ 0.1

Therefore The specification as an absolute value inequality is l w - 18 l ≤ 0.1.

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Answer:

the annswer is 4155 because its in formal information

Step-by-step explanation:

the annswer is 4155 because its in formal information

Answer:

The independent variable would be

trees used per case of paper

Step-by-step explanation:

Answer:

Number of trees used

Step-by-step explanation:

The number of trees used is the independent variable because it doesn't depend on anything, meaning it isn't changed by other variables. The number of cases of paper would be the dependent variable because it depends on the number of trees used.

Answer:

Step-by-step explanation:

(-+) × (-8) + (-3)³=32

To evaluate the vectors 2v - u given u = (1, -3) and v = (-4, 2), you have to first determine the values of 2v and then subtract u from the resulting vector.

To get 2v, you can multiply v by 2 as shown below:2v = 2(-4, 2)

= (-8, 4)

To subtract u from 2v, you can subtract the x-component of u from the x-component of 2v and also subtract the y-component of u from the y-component of 2v.

That is:(-8, 4) - (1, -3) = (-8 - 1, 4 - (-3)) = (-9, 7)

Therefore, the vector 2v - u is (-9, 7).

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Answer:

Expanded Form:

3500

Step-by-step explanation:

Hope this helps!

Answer:

AB = 10 m

Step-by-step explanation:

Given that <ACB = <ECD, then triangles ABC and EDC are similar.

Let the height of the solar panel (AB) be represented by x. Thus by comparing the triangles, we have;

\(\frac{x}{6}\) = \(\frac{45}{75}\)

45x = 6 x 75

45x = 450

x = \(\frac{450}{45}\)

x = 10

The height of the solar panel is determined to be 10 m.

The main difference between finitely repeated and infinitely repeated games is the number of times the game is played.

Players in a game that is finitely repeated have a limited amount of opportunities to observe and react to each other's actions. Depending on the number of rounds and their perceptions of the other player's actions, players can employ a range of strategies.

Players can see and react to each other's activities an endless number of times in an infinitely repeated game. Now that long-term collaboration and punishment are options, this alters the methods that players can employ.

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Answer:

A.

two rays that share a common endpoint called the vertex

Step-by-step explanation:

In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

The best statement which defines an angle is "Two rays that shares a common endpoints called vertex".

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

From the definition of an angle, a figure which is formed by two rays or lines that shares a common endpoints is called an angle.

Hence, the best statement which defines an angle is "Two rays that shares a common endpoints called vertex".

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Answer:

Step-by-step explanation:

The probability P(Z>1.28) represents the area under the standard normal distribution curve to the right of the z-score 1.28.

Using a standard normal distribution table or a calculator, we find that the area to the right of 1.28 is approximately 0.1003.

Therefore, the answer is closest to option (b) 0.10. there is a 10% chance of obtaining a value above 1.28 in a standard normal distribution.

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To derive the demand function from the given utility function and endowment, we need to determine the optimal allocation of goods that maximizes utility. The utility function is U(x, y) = -e^(-x) - e^(-y), and the initial endowment is (1, 0).

To derive the demand function, we need to find the optimal allocation of goods x and y that maximizes the given utility function while satisfying the endowment constraint. We can start by setting up the consumer's problem as a utility maximization subject to the budget constraint. In this case, since there is no price information provided, we assume the goods are not priced and the consumer can freely allocate them.

The consumer's problem can be stated as follows:

Maximize U(x, y) = -e^(-x) - e^(-y) subject to x + y = 1.

To solve this problem, we can use the Lagrangian method. We construct the Lagrangian function L(x, y, λ) = -e^(-x) - e^(-y) + λ(1 - x - y), where λ is the Lagrange multiplier.

Taking partial derivatives of L with respect to x, y, and λ, and setting them equal to zero, we can find the values of x, y, and λ that satisfy the optimality conditions. Solving the equations, we find that x = 1/2, y = 1/2, and λ = 1. These values represent the optimal allocation of goods that maximizes utility given the endowment.

Therefore, the demand function derived from the utility function and endowment is x = 1/2 and y = 1/2. This indicates that the consumer will allocate half of the endowment to each good, resulting in an equal distribution.

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Answer:

4 5/8

Step-by-step explanation: