the linear regression model divides variation in the dependent variable y into two categories. name these two categories and briefly explain what they are.

Brianna has 15 flowers and she wants to put them in her planters. She has 1 z planter and wants to know how many flowers can fill 1 planter.

To find out how many flowers can fill 1 planter, we need to know how many planters Brianna has. From the given information, we know that Brianna has 1 z planters. However, we don't know how many planters Brianna has in total.

We can solve the question using algebra.

Let's assume that Brianna has a total of x planters.

If 15 flowers fill 1 z planter, then we can say that x planters can be filled with (15/x) z planters.

Now, we want to know how many flowers fill 1 planter. We can set up a proportion using the information we have:

15 flowers / 1 z planter = x planters / (15/x) z planters

To solve for x, we can cross-multiply:

15 * (15/x) = x

225/x = x

x^2 = 225

x = √225

x = 15

Therefore, Brianna has 15 planters and each planter can be filled with 1 flower.

In conclusion, Brianna has 15 flowers and 15 planters, and each planter can be filled with 1 flower.

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Considering the plow removed snow at a constant volume per minute, The snow began to fall 3/5 of an hour, or 36 minutes, before noon.

Let's assume that the snow began to fall at time "t" in hours before noon.

From noon to 1 pm, the plow cleared snow for 1 hour, or 60 minutes, and covered a distance of 2 miles.

From 1 pm to 2 pm, the plow cleared snow for another hour, or 60 minutes, and covered a distance of 3 - 2 = 1 mile.

Since the plow removed snow at a constant volume per minute, the amount of snow cleared in the first hour is equal to the amount cleared in the second hour.

Therefore, the ratio of the distance traveled to the amount of snow cleared is constant, and we can write:

Solving for "t", we get:

So the snow began to fall 3/5 of an hour, or 36 minutes, before noon.

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[tex]\sin(N )=\cfrac{\stackrel{opposite}{8}}{\underset{hypotenuse}{10}}\implies \sin(N)=\cfrac{4}{5} \\\\\\ \cos(L )=\cfrac{\stackrel{adjacent}{8}}{\underset{hypotenuse}{10}}\implies \cos(L)=\cfrac{4}{5} \\\\\\ \tan(N )=\cfrac{\stackrel{opposite}{8}}{\underset{adjacent}{6}}\implies \tan(N)=\cfrac{4}{3}[/tex]

You sent 19 text messages. Let's start by using variables to represent the unknown quantities in the problem. Let t be the number of text messages sent, and let p be the number of pictures sent.

We know that it costs $0.07 to send a text message and $0.12 to send a picture, and we also know that the total amount spent was $3.38. So we can write two equations based on this information:

0.07t + 0.12p = 3.38 (equation 1)

t = 2p (equation 2)

We can use equation 2 to substitute for t in equation 1:

0.07(2p) + 0.12p = 3.38

Simplifying this equation gives:

0.26p = 3.38

p = 13

So you sent 13 pictures. Now we can use equation 2 to find the number of text messages sent:

t = 2p = 2(13) = 26

So you sent 26 text messages. However, we should check if this answer is consistent with the total amount spent:

0.07(26) + 0.12(13) = 1.82 + 1.56 = 3.38

This checks out, so the final answer is that you sent 26 text messages and 13 pictures.

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Answer:

26

Step-by-step explanation:

w = 5 so 7w is 7 x 5 = 35 and x = 9 so it’s 35 - 9 which is 26

Answer: 1. 48 2. Times 2

Step-by-step explanation: 3 times 2 to the power of 4 is 48. Furthermore you can see the y axis values keep increasing times 2.

Answer:

1. domain of a relation={-2,-1,0,1} and the range ={5,2,4,-9}

2. No, it is not a function.

An expression for cos(2θ) in terms of x is cos(2θ) = 1 - 2x²

To find an expression for cos(2θ) in terms of x, we can use the double angle identity for cosine:

cos(2θ) = 2cos²(θ) - 1

Since we know sin(θ) = x, we can use the Pythagorean identity for sine and cosine to find cos(θ):

cos²(θ) = 1 - sin²(θ) = 1 - x²

Now we can substitute this expression for cos²(θ) into the double angle identity:

cos(2θ) = 2(1 - x²) - 1 = 1 - 2x²

Therefore, an expression for cos(2θ) in terms of x is:

cos(2θ) = 1 - 2x²

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The value of s for the given value is 24.05.

Given is an equation v² = u²+2gs, we need to find the value of s if v = 25, u = 12 and g = 10,

So,

25² = 12² + 2(10)s

625 = 144 + 20s

20s = 481

s = 24.05

Hence the value of s for the given value is 24.05.

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To determine the percentage of times the machine will dispense more than 7.1 oz of coffee, we need to calculate the z-score and find the corresponding area under the normal distribution curve.

The z-score is calculated using the formula:

z = (x - μ) / σ

where x is the value we're interested in (7.1 oz), μ is the mean (7.6 oz), and σ is the standard deviation (0.5 oz).

Let's calculate the z-score:

z = (7.1 - 7.6) / 0.5

z = -0.5 / 0.5

z = -1

Now we need to find the area under the normal distribution curve for a z-score of -1. We can use a standard normal distribution table or a statistical calculator to find this area.

The area corresponds to the probability that the machine will dispense more than 7.1 oz.

Using a standard normal distribution table, we can find that the area to the left of z = -1 is approximately 0.1587. Since we're interested in the area to the right (more than 7.1 oz), we subtract this value from 1:

P(X > 7.1) = 1 - 0.1587

P(X > 7.1) ≈ 0.8413

Therefore, the vending machine will dispense more than 7.1 oz approximately 84.13% of the time.

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The correct symbol used on a diagram to represent a disjoint, or nonoverlapping, subtype is option C, which is an empty circle that is placed between the supertype and subtype.

This symbol is often used in entity-relationship diagrams (ERDs) to indicate that a subtype is exclusive to the supertype, meaning that an entity can only be a member of one subtype at a time. The empty circle symbol is used to distinguish disjoint subtypes from overlapping subtypes, which are represented by a circle with an 'o' in it that is placed between the supertype and subtype.

Another symbol that is sometimes used in ERDs to represent a disjoint subtype is a double horizontal line that is placed between the supertype and subtype, but this symbol is less common than the empty circle. Overall, it's important to use clear and consistent symbols in ERDs to accurately represent the relationships between entities and subtypes.

In a diagram, to represent a disjoint or nonoverlapping subtype, you should use option b: a circle with a 'd' in it that is placed between the supertype and subtype. This symbol indicates that the instances of the subtypes are mutually exclusive, meaning an instance of the supertype can belong to only one subtype at a time.

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The height we calculated is correct and that the area of the triangle is indeed 115.5 square miles.

We can use the formula for the area of a triangle to find the height of the triangle. The formula for the area of a triangle is:

Area = 1/2 x base x height

We are given the area of the triangle, which is 115.5 square miles, and the base of the triangle, which is 14 miles. We can substitute these values into the formula and solve for the height:

115.5 = 1/2 x 14 x height

To isolate the height on one side of the equation, we can divide both sides of the equation by 1/2 x 14:

115.5 / (1/2 x 14) = height

Simplifying the right side of the equation, we get:

115.5 / 7 = height

Therefore, the height of the triangle is approximately 16.5 miles.

We can also check our answer by substituting the values for the base and height into the formula for the area of a triangle:

Area = 1/2 x base x height

Area = 1/2 x 14 x 16.5

Area = 115.5

This confirms that the height we calculated is correct and that the area of the triangle is indeed 115.5 square miles.

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Answer:

11. D. 36

9 * 4 = 36

12. C. 7x-5y

13. B. 5

5(x-2)/(x-2)=5

14. C. 540 deg

For sum of interior angles use (n-2)*180 where n=number of sides

15. A. 70 deg

250-180 (250>180) = 70

16. D. 10

(15+13+11+9+7+5)/6 = 10

17. A. 1050

6050-5000

Step-by-step explanation:

total is 36 fish

16/36

4/9

The truck can carry 24 motorcycles.

We have,

A delivery truck can carry 6 tons of goods.

Each good weigh 1/4 tons.

So, Number of motorcycles can truck carry

= 6/ (1/4)

= 6 x 4/1

= 24 motorcycles

Thus, the truck can carry 24 motorcycles.

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The ball is approximately 435 feet from the hole.

To determine the distance from the ball to the hole in feet, we need to know the distance in yards and convert it to feet. Given that the distance from the tee to the hole is 145 yards, we can multiply this value by the conversion factor for yards to feet.

1 yard is equal to 3 feet. Therefore, to convert from yards to feet, we can multiply the distance in yards by 3:

Distance in feet = 145 yards * 3 feet/yard = 435 feet

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The radius of convergence of the power series $\sum_{n=0}^\infty c_n x^n$ is $r$. To find the radius of convergence of the power series $\sum_{n=0}^\infty c_n x^{9n}$, we can rewrite the series as $\sum_{n=0}^\infty c_n (x^9)^n$.

Letting $y = x^9$, we obtain the power series $\sum_{n=0}^\infty c_n y^n$, which has the same coefficients as the original series. By the ratio test, the series $\sum_{n=0}^\infty c_n y^n$ has radius of convergence $R' = r^9$. Therefore, the radius of convergence of the power series $\sum_{n=0}^\infty c_n x^{9n}$ is $r^9$.

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Answer:

c/sin(60°) = 14/sin(25°)

c = 14sin(60°)/sin(25°) = 28.7

We want to find the probability that the sample mean cholesterol value falls within certain ranges. Specifically, we want to find the probability that the sample mean cholesterol value is between 145 and 165 (part a) and between 140 and 170 (part b).

The probability that the sample mean cholesterol value is between 145 and 165 can be found using the central limit theorem (CLT). Since the sample size is large (n = 16), the sample mean cholesterol value will be approximately normally distributed, regardless of the underlying population distribution. We can assume that the sample mean cholesterol value follows a normal distribution with mean μ and standard deviation σ/sqrt(n), where μ is the population mean cholesterol value and σ is the population standard deviation.

Using this assumption, we can calculate the z-score for each end of the interval:

z1 = (145 - μ) / (σ / sqrt(n))

z2 = (165 - μ) / (σ / sqrt(n))

Then, we can use a standard normal distribution table or a calculator to find the probability that the sample mean cholesterol value falls between these z-scores:

P(145 < x^- < 165) = P(z1 < Z < z2)

where Z is a standard normal random variable.

Similarly, to find the probability that the sample mean cholesterol value is between 140 and 170 (part b), we can calculate the corresponding z-scores and use the same formula.

In both cases, the assumption of normality may not be appropriate if the population distribution is strongly skewed or has heavy tails. In such cases, non-parametric methods or bootstrapping may be more appropriate.

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The lengths of sides DE and EF are both 11 units.

Since triangle DEF is isosceles, it means that the lengths of sides DE and EF are equal. We can set these two expressions equal to each other and solve for the value of z.

5z - 4 = 3z + 2

Subtracting 3z from both sides, we get:

2z - 4 = 2

Adding 4 to both sides, we get:

2z = 6

Dividing both sides by 2, we get:

z = 3

Now that we know the value of z, we can substitute it into the expressions for DE and EF to find their values:

DE = 5z - 4 = 5(3) - 4 = 11

EF = 3z + 2 = 3(3) + 2 = 11

Therefore, the lengths of sides DE and EF are both 11 units.

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Here the concept Pythagoras theorem is used here to determine the length of hypotenuse which is the sum of square of the base and altitude. It is an important topic in Maths which explains the relation between the sides of a right-angled triangle.

Pythagoras theorem states that ''In a right angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides. The sides of this triangle have been named perpendicular base and hypotenuse.

Here Hypotenuse is the longest side as it is opposite to the angle 90°. The formula of Pythagoras theorem is:

Hypotenuse² = Perpendicular² + Base²

Here 'x' is taken as base = 9 and 'y' is taken as altitude = 10

Then,

Hypotenuse² = 9² + 10²

Hypotenuse² = 81 + 100 = 181

Hypotenuse = 13.4 cm

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If the firm is limited in the capital it has available (capital rationing) or if a project has more than one sign reversal, you may not accept a project that has a positive net present value. Capital rationing means that the firm does not have enough capital to invest in all positive net present value projects, so they have to choose which projects to fund. In this case, a project with a higher net present value may not be chosen if the firm does not have enough capital to fund it.

Additionally, if a project has more than one sign reversal, it means that the cash flows of the project change from positive to negative and back again. This makes it difficult to accurately predict future cash flows and profitability, and could make the project too risky to accept, even with a positive net present value.

You would NOT accept a project with a positive net present value under the condition that the firm is limited in the capital it has available (capital rationing). This is because capital rationing occurs when a company has limited resources to invest in projects, and it must prioritize projects based on their potential profitability and contribution to the company's goals. In this situation, even if a project has a positive net present value, it might not be the best option compared to other projects with higher profitability or strategic importance.

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According to the question we cannot conclude that f(x) is continuous at x = 3 without additional information about the function.

Unfortunately, we cannot conclude that f(x) is continuous at x = 3 based solely on the information given.
To determine if a function is continuous at a specific point, we need to check three conditions:
1. The function must be defined at the point x = 3. In this case, we know that f 0 (3) = 5, which means that the function is defined at x = 3.
2. The limit of the function as x approaches 3 must exist. Without any further information about the function, we cannot determine whether or not this condition is met.
3. The limit of the function as x approaches 3 must equal the value of the function at x = 3. Again, we cannot determine whether or not this condition is met based solely on the given information.
Therefore, we cannot conclude that f(x) is continuous at x = 3 without additional information about the function.

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The value of measure of angle Q is,

⇒ m ∠Q = 72.1 degree

We have to given that;

The triangle above has the following measures.

s = 23 in

r = 75 in

Hence, The value of measure of angle Q is,

⇒ cos ∠Q = s / r

⇒ cos Q = 23 / 75

⇒ cos Q = 0.3067

⇒ Q = 72.1 degree

Thus, The value of measure of angle Q is,

⇒ m ∠Q = 72.1 degree

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The given statement "The length of the curve x = f(t), y = g(t), a ≤ t ≤ b, is b [f '(t)]2 + [g'(t)]2 dt" is false because the actual formula for the length of a curve includes a square root and the integral is performed over the interval [a, b].

To determine whether the statement is true or false regarding the length of the curve x = f(t), y = g(t), a ≤ t ≤ b, given by the formula b [f '(t)]2 + [g'(t)]2 dt a, let's review the actual formula for the length of a curve.

The actual formula for the length of a curve defined by parametric equations x = f(t), y = g(t), for a ≤ t ≤ b is:

Length = ∫(a to b) √([f '(t)]² + [g'(t)]²) dt

Comparing the given formula in the question:

b [f '(t)]2 + [g'(t)]2 dt a

with the correct formula, we can conclude that the statement is false.

The correct formula should include a square root, and the integration should be performed over the interval [a, b].

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Answer:

the -1.03 slope means that for every one unit increase in age (the independent variable x), the percentage of people who voted for the particular candidate (the dependent variable y) decreases by 1.03

Answer:

the -1.03 slope means that for every one unit increase in age (the independent variable x), the percentage of people who voted for the particular candidate (the dependent variable y) decreases by 1.03

Step-by-step explanation:

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The base of a ladder should be set out a distance equal to one-fourth (1/4) the height to the point of support. This ensures stability and safety while using the ladder. It is important to pay attention to this detail when using a ladder to prevent accidents and injuries.

The base of a ladder should be set out a distance equal to 1/4 the height to the point of support.

Determine the height to the point of support (H).
Calculate the appropriate distance for the base of the ladder by using the formula: Distance = 1/4 * H.
Set the ladder's base at the calculated distance from the wall or support.

The base of a ladder should be set out a distance equal to one-fourth (1/4) the height to the point of support. This ensures stability and safety while using the ladder. It is important to pay attention to this detail when using a ladder to prevent accidents and injuries.
                                This guideline ensures that the ladder is placed at a safe angle to prevent it from slipping or falling.

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The distance from the Earth to the International Space Station is approximately 238.57 miles.

To find the distance from the Earth to the International Space Station, we can use the formula:

distance = (radius of the Earth + altitude of the ISS) * central angle in radians

We know that the radius of the Earth is approximately 3960 miles, and we can find the altitude of the ISS by multiplying the speed of the ISS by the time it takes to travel the central angle. Converting the central angle from degrees to radians, we have:

1.074 degrees = 0.01873 radians

The distance from the Earth to the ISS is then:

distance = (3960 + (4.76 * 3600)) * 0.01873

distance = 238.57 miles

Therefore, the distance from the Earth to the International Space Station is approximately 238.57 miles.

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The height of the flagpole is 20 feet.

Here given that the length of person = 6 feet.

The length of shadow of person = 4.5 feet

Now the ratio of shadow to the actual length of person = 4.5/6 = 3/4

Given also that the length of shadow of flagpole is 15 feet.

Let the height of the flagpole be x feet.

Since the ratio of shadow to actual length at same time for each object must be equal.

So, the ratio of shadow to the actual length of flagpole = 15/x

According to condition,

15/x = 3/4

x = 15*(4/3) = 5*4 = 20

Hence the height of flagpole is 20 feet.

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