The manager of a home store is buying lawn
chairs to sell at his store. Each pack of chairs
contains 10 chairs. The manager will sell each
chair at a markup of 20% of the wholesale
cost, plus a $2.50 stocking fee.

The coordinates of point M are (-6, 6.5). Option (B) is the correct answer.

We are given that S(-4, 5) is the midpoint of MP and the coordinates of P are (-8, 8). We want to find the coordinates of point M.

Since point S is the midpoint of MP, we can use the midpoint formula to find the coordinates of point M:

Midpoint formula: (xm, ym) = ((xp + xs)/2, (yp + ys)/2)

Substituting the given values, we get:

(xm, ym) = ((-8 - 4)/2, (8 + 5)/2)

(xm, ym) = (-6, 6.5)

The other points listed in the answer choices are not relevant to this problem.(option-b)

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Using the midpoint formula to solve the equations gives us the coordinates of M as (0,2).

In mathematics, we can find the coordinates of the point M using the formula properties of a line division. Since S is the midpoint, that means it equally divides the line segment MP into two. The midpoint formula is M = [(x1+x2)/2 , (y1+y2)/2]. You have the coordinates of S(-4,5) and P(-8,8), so we can set up the following equations using the midpoint formula:
(-4+X)/2 = -8 and (5+Y)/2 = 8
Solving these equations for X and Y, we get X = 0 and Y = 2. Therefore, the coordinates of M would be (0,2), which is option O (0,2) in your given choices.

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The Domain (x-values and independent variable) would be the time of day

The Range (y-values and dependent variable) would be the amount of people in a movie theater

The correct answer is c. 49%.

To calculate the shared variance, we need to square the correlation coefficient.
0.70 squared = 0.49
This means that 49% of the variance is shared variance between the two variables. Therefore, option c is the correct answer.

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If the correlation between variables is 0.70, what percent of the variance is shared varianceis c. 49%.

When the correlation between two variables is 0.70, it means that 49% of the variance is shared variance. This is because the correlation coefficient represents the strength and direction of the linear relationship between two variables, and the coefficient of edterminationd (r-squared) is the proportion of the variance in one variable that can be explained by the variance in the other variable. In this case, the r-squared is 0.70^2, which equals 0.49 or 49%.

Therefore, the answer to the question is that 49% of the variance is shared variance when the correlation between variables is 0.70.


The correct option is c. 49%.

To find the shared variance (also known as the coefficient of determination) between two variables, you need to square the correlation coefficient. In this case, the correlation coefficient is 0.70. When you square 0.70 (0.70 * 0.70), you get 0.49, which represents 49% shared variance.

If the correlation between variables is 0.70, the percent of the variance that is shared variance is 49%.

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Answer:

A. 18x - 3y = 6

Step-by-step explanation:

By taking 3 common from the terms 18x and 3y we get,

3 (6x-3y) = 6

or, 6x - y = 6/3

or, 6x - y = 2

And,

The equation becomes,

y = 6x - 2

The equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

By taking 3 commons from the terms 18x and 3y we get,

3 (6x-3y) = 6

6x - y = 6/3

6x - y = 2

The equation becomes,

y = 6x - 2

Therefore, the equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.

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The perm pattern that includes a central rectangle and two sections at each side is the contour pattern.

The contour pattern in a perm involves dividing the hair into three sections, with a rectangular section in the center and two additional sections on each side. The hair is then wrapped around perm rods in a pattern that follows the contour of the head. This pattern is often used to create natural-looking waves or curls.

The other patterns listed - rectangle pattern, spiral bricklay pattern, and alternating oblong pattern - are not typically used in perming hair.

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Step-by-step explanation:

12930 miles add 4310 3 times

Answer:

Step-by-step explanation:

The value at intercept C(1) is 95.68 pounds

The estimated per capita consumption in the year 2010 will be 115.6 pounds

Part a:

Per capita consumption of all the poultry in a country is given by the function C(x) = 2.49x + 93.19

Finding intercept C(1):

For C(1) the value of x will be 1

C(1) = 2.49(1) + 93.19

C(1)  = 95.68

Hence, the value at intercept C(1) is 95.68 pounds

Part b:

Finding the per capita consumption in the year 2010:

where x will be 9, as the time period from 2001 to 2010 is 9 years

C(2010) = 2.49(9) +93.19

= 22.41 + 93.19

= 115.6

Hence, the estimated per capita consumption of all the poultry in the country will be 115.6 pounds in the year 2010

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The probability that a random sample of 30 healthy koalas has a mean body temperature of more than 36.2°C is 0.006.

To find the probability, we can use the Central Limit Theorem since the sample size is large (n = 30). According to the Central Limit Theorem, the sampling distribution of the sample mean approaches a normal distribution with a mean equal to the population mean (35.6°C) and a standard deviation equal to the population standard deviation divided by the square root of the sample size (1.3°C/sqrt(30)).

Now, we can standardize the sample mean using the formula z = (x - μ) / (σ / sqrt(n)), where x is the desired value (36.2°C), μ is the population mean (35.6°C), σ is the population standard deviation (1.3°C), and n is the sample size (30).

Calculating the z-score, we get z = (36.2 - 35.6) / (1.3 / sqrt(30)) ≈ 1.516.

To find the probability that the sample mean is more than 36.2°C, we need to find the area to the right of the z-score on the standard normal distribution. Consulting a standard normal distribution table or using a calculator, we find that the probability is approximately 0.006, rounded to three decimal places.

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The improper integral ∫ 1/x dx from 0 to ∞ is divergent. The improper integral ∫ 1/x dx from 0 to ∞ represents the integral of the function 1/x with respect to x over the interval from 0 to positive infinity.

To determine whether this integral is convergent or divergent, we need to evaluate it.

Let's split the integral into two parts: from 0 to 1 and from 1 to ∞.

∫(0 to 1) 1/x dx

This part of the integral is a finite integral, and it can be evaluated as:

∫(0 to 1) 1/x dx = [ln|x|] (0 to 1) = ln(1) - ln(0)

However, ln(0) is undefined, so this part of the integral does not converge.

Now let's evaluate the second part of the integral:

∫(1 to ∞) 1/x dx

This integral represents the area under the curve of the function 1/x from 1 to ∞. This is a well-known integral and is known to diverge. As x approaches infinity, the value of 1/x approaches 0, but it never reaches 0. Therefore, the area under the curve keeps increasing indefinitely, and the integral diverges.

Since either part of the integral diverges, the overall integral ∫ 1/x dx from 0 to ∞ is divergent.

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To find the interval of convergence of the series Σ27^n(x – 8)^(3n+2) with n starting from 0, we can use the ratio test. The ratio test states that a series converges if the absolute value of the ratio of consecutive terms approaches a finite limit as n approaches infinity. By applying the ratio test, we can determine the values of x for which the series converges.

Using the ratio test, we evaluate the limit as n approaches infinity of the absolute value of the ratio of consecutive terms: lim(n→∞) |(27^(n+1)(x – 8)^(3n+5)) / (27^n(x – 8)^(3n+2))|.

Simplifying this expression, we can rewrite it as lim(n→∞) |27(x – 8)^3|. By analyzing this limit, we can determine the values of x for which the series converges.

If the limit is less than 1, the series converges, and if the limit is greater than 1, the series diverges.

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The given expression, ∇m × ∘, represents the cross product between the gradient operator (∇) and the unit vector (∘). This cross product results in a vector quantity with a magnitude and direction.

The magnitude of the cross product vector can be calculated using the formula |∇m × ∘| = |∇m| × |∘| × sin(θ), where |∇m| represents the magnitude of the gradient and |∘| is the magnitude of the unit vector ∘.

The direction of the cross product vector is perpendicular to both ∇m and ∘, and its orientation is determined by the right-hand rule. In this case, the counterclockwise direction from the +x-axis is determined by the specific orientation of the vectors ∇m and ∘ in the given expression.

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Answer:

the area of this triangle is 7(5) which equals 35 sq cm

Step-by-step explanation:

no parallelogram shown?

Answer:

place them diagonally ik that

(i) The relationship between the OLS estimators of α₂ and ᵝ₂ can be determined by considering the relationship between the consumption function and the savings function. Since X = Y + Z, we can substitute this into the consumption function equation to obtain Y = α₁ + α₂(Y + Z) + e. Simplifying the equation, we get Y = (α₁/(1 - α₂)) + (α₂/(1 - α₂))Z + (e/(1 - α₂)). Comparing this equation with the savings function Z₁ = ᵝ₁ + ᵝ₂X + u₁, we can see that the OLS estimator of ᵝ₂ is related to the OLS estimator of α₂ as follows: ᵝ₂ = α₂/(1 - α₂).

(ii) The residual sum of squares (RSS) will not be the same for the two models of Y₁ = α₁ + α₂X₁ + e and Z₁ = ᵝ₁ + ᵝ₂X₁ + u₁. This is because the error terms e and u₁ are different for the two models. The RSS is calculated as the sum of squared differences between the observed values and the predicted values. Since the error terms e and u₁ are different, the predicted values and the residuals will also be different, resulting in different RSS values for the two models.

(iii) The R² terms of the two models cannot be directly compared. R² is a measure of the proportion of the total variation in the dependent variable that is explained by the independent variables. Since the consumption function and the savings function have different dependent variables (Y and Z, respectively), the R² values calculated for each model represent the goodness of fit for their respective dependent variables. Therefore, the R² terms of the two models cannot be compared directly.

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Answer:

The negative sign in the function will make it a downward-opening parabola, and its vertex will be its highest point.

Answer:

It reflects the graph across x-axis

Step-by-step explanation:

It's a vertical reflection.

Answer:

If r=0, there is absolutely no relationship between the two variables.

Step-by-step explanation:

The exact value of sin (A-B) in simplest form for positive acute angle A and B is found to be 221/1445.

We can use the trigonometric identity sin(A - B) = sinAcosB - cosAsinB to find the exact value of sin(A - B) for positive acute angles.

From the given information, we know that cosA = 4/5 and sinB = 8/17. Using identities, sin²A + cos²A = 1 and sin²B + cos²B = 1:

sinA = √(1 - cos²A)

= √(1 - (4/5)²)

= 3/5

cosB = √(1 - sin²B)

= √(1 - (8/17)²)

= 15/17

Now, we can substitute these values into the identity:

sin(A - B) = sinAcosB - cosAsinB

sin(A - B) = (3/5)(15/17) - (4/5)(8/17)

sin(A - B) = 9/17 - 32/85

sin(A - B) = (765 - 544)/1445

sin(A - B) = 221/1445

Therefore, the exact value of sin(A - B) in simplest form is 221/1445.

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Answer:

The equation that represents a proportional relationship, or a line, is y = k x, where is the constant of proportionality.

Step-by-step explanation:

math.

skillz.

Answer:

x plus 3y minus 63

Step-by-step explanation:

Answer:

(6) the letter n : intersection which means the number you will find at the first bracket and has the same number at the other bracket

The slope intercept form of equation of required line is

\(y = -\frac{17}{2}x -16\)

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c

Where m is the slope of the line and c is the y intercept of the line.

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If  \(\theta\) is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m = \(tan \theta\)

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

Slope of the required line = \(-\frac{17}{2}\)

The line passes through (0, -16)

Equation of the required line =

\(y - (-16) = -\frac{17}{2}(x - 0)\)

\(y + 16 = -\frac{17}{2}x\)

\(y = -\frac{17}{2}x - 16\)

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Answer: B

Step-by-step explanation:

The line is curved which makes it a non-linear function.

The probability of rain tomorrow is the same regardless of whether it has rained in the past two days or not. Therefore, we cannot use the given information to make a prediction about the weather tomorrow.

In example 4.4, we are given a situation where it has not rained in the past two days. The question asks for the probability of rain tomorrow. This type of question falls under the category of conditional probability. In conditional probability, we find the probability of an event given that another event has already occurred.
To solve this problem, we can use Bayes' theorem. Bayes' theorem states that the probability of an event A given that event B has occurred is equal to the probability of event B given that event A has occurred multiplied by the probability of event A divided by the probability of event B.
Let us define the events in this problem as follows:
A = It will rain tomorrow
B = It has not rained in the past two days
Using the given information, we know that P(B) = 0.75 (since there are four possible outcomes: rain yesterday, rain day before yesterday, rain both days, no rain both days, and we are given that the latter has occurred). We need to find P(A|B).
To find P(A|B), we need to find P(B|A), which is the probability that it has not rained in the past two days given that it will rain tomorrow. Since we do not have any information about the relationship between these two events, we can assume that they are independent.
Therefore, P(B|A) = P(B) = 0.75
Now, we can use Bayes' theorem to find P(A|B):
P(A|B) = P(B|A) * P(A) / P(B)
P(A|B) = 0.75 * P(A) / 0.75
P(A|B) = P(A)
This means that the probability of rain tomorrow is the same regardless of whether it has rained in the past two days or not. Therefore, we cannot use the given information to make a prediction about the weather tomorrow.

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The chances that the coin is unbiased are 0.08 or 8%.

Probability is the measure of the likelihood of an event occurring.

Probability is calculated by dividing the number of successful events by the total number of possible events.

The probability of an event ranges between 0 and 1.

An event with a probability of 0 has no chance of occurring, whereas an event with a probability of 1 is certain to occur.

In the given question, a coin was tossed 500 times.

The result was heads 230 times and tails 270 times.

Let us calculate the probability of getting heads when the coin is tossed.

P(h) = Probability of getting heads = Number of heads/Total number of tosses = 230/500 = 0.46

Similarly, let us calculate the probability of getting tails when the coin is tossed.

P(t) = Probability of getting tails = Number of tails/Total number of tosses = 270/500 = 0.54

The coin is unbiased if the probability of getting heads is equal to the probability of getting tails when the coin is tossed.

P(h) = P(t)0.46

= 0.54 0.54 - 0.46

= 0.08

Thus, the chances that the coin is unbiased are 0.08 or 8%.

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Answer:

d

Step-by-step explanation:

Answer:

it is D

Step-by-step explanation:

Answer:the answer is 9

Step-by-step explanation:

The difference in the proportion of males and the proportion of females that smoke is 0.08

In a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.

The given parameters are:

                             Male           Female

Sample                  61                  48

Smokers               15                   8

The proportion is calculated using:

p = Smoker/Sample

So, we have:

Male = 15/61 = 0.25

Female = 8/48 = 0.17

The difference is then calculated as:

Difference = 0.25 - 0.17

Evaluate

Difference = 0.08

Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08

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Answer:

1. The value of the variable, y is 11

2. (B) QRS is congruent to segment (E) ΔWXY by the hypotenuse leg congruency criteria

Step-by-step explanation:

1. The lengths of the sides of the given triangles ABC are  AB = 14, BC = 27, AC = 19, and ∡A = 32°

The lengths of the sides of the given triangle FGH, FG = 14, GH = 19, FH = 2y + 5, ∡G = 32°

From the given parameters, we have;

Segment AB (AB = 14) is congruent to segment FG (FG = 14)

Segment AC (AC = 19) is congruent to segment GH (GH = 19)

Angle ∡A (∡A = 32°) is congruent to angle ∡G (∡G = 32°)

∴ ΔBAC is congruent to ΔFGH by the Side-Angle-Side rule of congruency

Therefore, segment BC is congruent to segment FH by Congruent Parts of Congruent Triangle are Congruent, CPCTC

Segment BC = Segment FH by definition of congruency

∴ 27 = 2·y + 5

2·y + 5 = 27

2·y = 27 - 5 = 22

y = 22/2 = 11

y = 11

The value of the variable, y = 11

2. For option A. the vertices of triangle ABC are A(-7, 4), B(-4, 1), C(-2, 5)

The length of the sides are;

The length of side AB = √((-4 - (-7))² + (1 - 4)²) = 3·√2

The length of side BC = √((-4 - (-2))² + (1 - 5)²) = √20

The length of side AC = √((-2 - (-7))² + (5 - 4)²) = √26

For option B. the vertices of triangle QRS are Q(3, -4), R(3, -1), S(7, -1)

The length of the sides are;

The length of side QR = √((3 - 3)² + ((-4) - (-1))²) = 3

The length of side RS = √((7 - 3)² + (-1 - (-1))²) = 4

The length of side QS = √((3 - 7)² + ((-4) - (-1))²) = 5

For option C. the vertices of triangle DEF are D(-2, 6), E(1, 3), F(3, 7)

The length of the sides are;

The length of side DE = √(((-2) - 1)² + (6 - 3)²) = 3·√2

The length of side EF = √((3 - 1)² + (7 - 3)²) = √20

The length of side DF = √((3 - (-2))² + (7 - 6)²) = √26

For option D. the vertices of triangle TUV are T(-6, -5), U(-6, 1), V(4, 1)

The length of the sides are;

The length of side TU = √(((-6) - (-6))² + ((-5) - 1)²) = 6

The length of side UV = √(((-6) - 4)² + (1 - 1)²) = 10

The length of side TV = √(((-6) - 4)² + ((-5) - 1)²) = 2·√34

For option E. the vertices of triangle WXY are W(-6, 4), X(-6, 1), Y(-2, 1)

The length of the sides are;

The length of side WX = √(((-6) - (-6))² + (4 - 1)²) = 3

The length of side XY = √(((-6) - (-2))² + (1 - 1)²) = 4

The length of side WY = √(((-6) - (-2))² + (4 - 1)²) = 5

Therefore;

Segment QR of ΔQRS is congruent to segment WX of ΔWXY

Segment RS of ΔQRS is congruent to segment XY of ΔWXY

Segment QS of ΔQRS is congruent to segment WY of ΔWXY

Whereby QS and WY are the hypotenuse side of ΔQRS and ΔWXY respectively, because QS = WY = 5 = √(\(\overline {QR} ^2\) + \(\overline {RS} ^2\)) = (√(3² + 4²)

and also RS = XY, by the definition of congruency, we have;

QRS is congruent to segment ΔWXY by the hypotenuse leg congruency criteria