What is the slope of the line that passes through the points ( 10 , − 6 ) (10,−6) and ( 8 , − 16 ) ? (8,−16)?

The general form of such a model that predicts the volume of sales (Y) as a function of advertising (X) in which sales increase as advertising increases, but at a decreasing rate is given by  Y^ = b0 + b1X + b2X². Option C.

The general form of the model that fits the description of the sales model that is given in the problem is C. Y^ = b0 + b1X + b2X². Where Y^ represents the predicted or estimated value of Y. b0, b1, and b2 are the coefficients of the model, and they represent the intercept, the slope, and the curvature of the relationship between X and Y, respectively.

In this model, the variable X has a quadratic relationship with the variable Y because of the presence of the squared term X². This indicates that the effect of X on Y is not linear but curvilinear, which means that the effect of X on Y changes as X increases. Specifically, the effect of X on Y increases initially but then levels off or diminishes as X becomes larger. Answer option C.

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Answer:

For a polynomial of the form ax2+bx+cax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=3⋅2=6a⋅c=3⋅2=6 and whose sum is b=5b=5.

Answer: The length of the hypotenuse is  25

Step-by-step explanation:

Hi, to answer this question we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (the longest side) and a and b are the other legs of the triangle (vertical and horizontal leg)

Replacing with the values given:  

c^2 = 7^2 + 24^2  

c^2 = 49+576

c^2 = 625

c = √625

c = 25  

Feel free to ask for more if needed or if you did not understand something.  

Answer:

thats easy

Step-by-step explanation:

The maximum number of floors that this building can have is 6

The given parameters are:

Elevators = 4

Stops = 3

At least one elevator stops on 2 floors

The maximum number of floors is calculated as:

Maximum = Elevators * Stops/2

This gives

Maximum = 4 * 3/2

Evaluate

Maximum = 6

Hence, the maximum number of floors that this building can have is 6

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No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

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Based on the given percentages, the number of adult American men who think the federal government should fund stem cell research is 67,860,000.

The percentage is the ratio of a value in relation to another.

The percentage is determined as the quotient of the numerator divided by the denominator, multiplied by 100.

The percentage of men who approve of stem cell research = 58%

The percentage of men who do not approve of the research = 39%

The percentage of men who have no opinion on the research = 3%

The estimated number of adult American men = 117,000,000

Thus, based on the percentage of men who approve of stem cell research, the number is 67,860,000. (117,000,000 x 58%).

Federal Government Funding of Stem Cell Research

                          Total      Men     Women

Should fund       55%       58%        52%

Should not fund 41%       39%         44%

No opinion          4%          3%           4%

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The most important cell in your body is the red blood cell.

Cells are the fundamental components of life. Every item you observe contains cells. Organelles are structures found inside cells that allow the cell to function.

Red blood cells are the most frequent form of blood cell and the vertebrate's primary mechanism of distributing oxygen to bodily tissues via blood flow through the circulatory system.

Blood cell activity is essential to life, from delivering oxygen throughout the body to battling infection. Bone marrow is responsible for the production of blood cells. Red blood cells, white blood cells, and platelets are the three major types of blood cells.

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Answer:

9.9375

Step-by-step explanation:

3/8[-8+16-(-2.5)]

=3/8(-8+16+2.5)

=3/8(26.5)

=9.9375

The difference 120.45-116.9 is 3.55.

Subtraction is a mathematic operation. Which is used to remove terms or objects in an expression.

Given:

The two decimal numbers,

120.45 and 116.9.

Applying subtraction operation,

the difference 120.45-116.9.

By adding on strategy,

116.9 is 3.55 left to the number 120.45 on the number line.

That means,

116.9 + 3.55 = 120.45.

Therefore, the difference is 3.55.

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A normal distribution is a type of continuous probability distribution for a real-valued random variable in statistics.

Yes, the large-sample confidence interval will be valid.

A normal distribution is a type of continuous probability distribution for a real-valued random variable in statistics.

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data far from the mean.

The confidence interval will be valid regardless of the shape of the population distribution as long as the sample is large enough to satisfy the central limit theorem.

A sample is considered large when n ≥ 30.

By 'valid', it means that the confidence interval procedure has a 95% chance of producing an interval that contains the population parameter.

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Answer:

10x² + 12x + 16

Step-by-step explanation:

Perimeter = 2(length + width)

Solve: Plug in given information:

-Chetan K

Answer:

$20

Step-by-step explanation:

49 is the outlier

Event A and B = 4

Event A or B = 2, 3, 4, 5, 6, 8

Complement of Event B = 1, 2, 7, 8

Event A: The marble selected has an even number.

The even numbers from 1 to 8 are 2, 4, 6, and 8. Therefore, the outcomes for Event A are: 2, 4, 6, 8.

Event B: The marble selected has a number from 3 to 6.

The numbers from 3 to 6 are 3, 4, 5, and 6. Therefore, the outcomes for Event B are: 3, 4, 5, 6.

Event A and B:

The outcomes that satisfy both Event A and Event B are the numbers that are both even and from 3 to 6. In this case, the only number that satisfies both conditions is 4.

Therefore, the outcome for Event A and B is: 4.

Event A or B:

The outcomes for Event A or Event B are the numbers that satisfy either Event A or Event B or both.

Combining the outcomes from Event A and Event B, we have: 2, 3, 4, 5, 6, 8.

Complement of Event B:

The complement of an event includes all the outcomes that are not part of the event.

In this case, the complement of Event B includes the numbers that are not from 3 to 6.

Therefore, the outcomes for the complement of Event B are: 1, 2, 7, 8.

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Complete question

A marble is selected from a bag containing eight marbles numbered 1 to 8.

The number on the marble selected will be recorded as the outcome.

Consider the following events.

Event A: The marble selected has an even number.

Event B: The marble selected has a number from 3 to 6.

Give the outcomes for each of the following events.

If there is more than one element in the set, separate them with commas.

Event A and B =

Event A or B =

Complement of the event B=

Answer:

Step-by-step explanation

Left at 6:15 am

How many hours until 2:15pm? 8 hours

How many minutes from 2:15 until 2:30? 15

So it took 8 hours and 15 minutes

Answer:

16/2×4−20 = 12

Step-by-step explanation:

NOTE : Make sure to review the order of operations

16/2×4−20 = (16÷2)×4-20

                  = 8×4-20

                  = 32-20

                  = 12

Selecting all students with last names beginning with the letter M would not produce a random sample of a school population of 1000 students. Hence the answer is no.

A random sample is obtained by selecting individuals from a population in a way that ensures every member of the population has an equal chance of being included in the sample.

By choosing only students with last names beginning with the letter M, you are introducing a bias and not providing an equal chance for all students to be selected.

To obtain a random sample of 1000 students from a school population, you would need to use a random selection method that ensures each student has an equal probability of being chosen.

This could be achieved through techniques such as random number generators, random sampling software, or random sampling techniques like stratified or cluster sampling.

Selecting all students with last names beginning with the letter M would not meet the requirements of a random sample, as it would not provide an equal chance for all students in the population to be included.

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Answer:

3

Step-by-step explanation:

3÷3=1

cant be divided by 9 and get a whole number

3÷9=.33333

The function θ : p(z) → p(z) defined as θ(x) = x is injective and surjective, therefore bijective.

The function θ(x) = x takes an element x from the set p(z) and returns the same element x. This means that for any input x in p(z), the function simply returns x as the output.

To determine whether θ is injective, we need to check if distinct inputs produce distinct outputs. In this case, since the function θ simply returns the input element x, it is evident that if two different elements are provided as input, they will always produce different outputs. Thus, θ is injective.

To assess the surjectivity of θ, we need to determine if every element in the codomain p(z) has a corresponding preimage in the domain p(z). In this scenario, since the function θ returns the same element x that is provided as input, it covers all elements in p(z). Therefore, for any given element in the codomain, there exists a preimage in the domain. Hence, θ is surjective.

Since the function θ is both injective and surjective, it is bijective. This means that for every input element x, there is a unique output element x, and every element in the codomain p(z) has a corresponding preimage in the domain p(z).

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Answer:

a=2

b=93

I hope this helps you

Step-by-step explanation:

Answer:

1. 2  

2. 93

Step-by-step explanation:

First we have to put the values of x and y into the equation

4(3)-2(5)

(4×3)-(2×5)

12-10=2

Now the second one

2(3)²+3(5)²

18+75=93

Answer:

Step-by-step explanation:

(X+4) (x^2 +1)

Answer: yes

Step-by-step explanation:

An integer And a whole number can be both, If there is no decimal

Answer:

area of the rectangle =length *breadth

=14*5=70sq.ft

diameter =6ft

radius =3ft

area of the semi circle =1/2πr^2

=1/2*22/7*3*3=14.142sq.ft

area of the figure =area of the rectangle +area of the semi circle =70+14.142=84.142sq.ft

Answer:

≈ 84.14 ft²

Step-by-step explanation:

The figure is composed of a rectangle and a semicircle, so

A = area of rectangle + area of semicircle

   = lb + \(\frac{1}{2}\)πr²

diameter of circle = 14 - (4 + 4) = 14 - 8 = 6 , then radius r = 3

A = (14 × 5) + (0.5 × π × 3² )

   = 70 + 4.5π

   ≈ 84.14 ft² ( to the nearest hundredth )

Answer:

v = 686 km/h

Step-by-step explanation:

speed = distance/time

v=d/t

v = 2470km/3.6h

v = 686.111... km/h

v = 686 km/h

Hope that helps

Answer:

Step-by-step explanation:

The first 5 terms of the expression (x + 2y)^17 are 131,072y^17, 1,111,552xy^16, 4,450,048x^2 * y^15, 11,110,720x^3 * y^14, and 19,507,456x^4 * y^13.

For the expression (2x - 3y):

a. To write out the first 5 terms, we substitute values for x and y:

Term 1: (2x - 3y) when x = 1 and y = 1:

(2(1) - 3(1)) = 2 - 3 = -1.

Term 2: (2x - 3y) when x = 2 and y = 2:

(2(2) - 3(2)) = 4 - 6 = -2.

Term 3: (2x - 3y) when x = 3 and y = 3:

(2(3) - 3(3)) = 6 - 9 = -3.

Term 4: (2x - 3y) when x = 4 and y = 4:

(2(4) - 3(4)) = 8 - 12 = -4.

Term 5: (2x - 3y) when x = 5 and y = 5:

(2(5) - 3(5)) = 10 - 15 = -5.

Therefore, the first 5 terms of the expression (2x - 3y) are -1, -2, -3, -4, and -5.

b. For the expression (x + 2y)^17, we can expand it using the binomial theorem. However, since we only need the first 5 terms, let's simplify them using the binomial coefficients:

Term 1: (x + 2y)^17 when x^0 and y^17:

1 * x^0 * (2y)^17 = 1 * (2y)^17 = 2^17 * y^17 = 131,072y^17.

Term 2: (x + 2y)^17 when x^1 and y^16:

17 * x^1 * (2y)^16 = 17 * 2^16 * x * y^16 = 17 * 65,536xy^16 = 1,111,552xy^16.

Term 3: (x + 2y)^17 when x^2 and y^15:

136 * x^2 * (2y)^15 = 136 * 2^15 * x^2 * y^15 = 136 * 32,768x^2 * y^15 = 4,450,048x^2 * y^15.

Term 4: (x + 2y)^17 when x^3 and y^14:

680 * x^3 * (2y)^14 = 680 * 2^14 * x^3 * y^14 = 680 * 16,384x^3 * y^14 = 11,110,720x^3 * y^14.

Term 5: (x + 2y)^17 when x^4 and y^13:

2,380 * x^4 * (2y)^13 = 2,380 * 2^13 * x^4 * y^13 = 2,380 * 8,192x^4 * y^13 = 19,507,456x^4 * y^13.

Therefore, the first 5 terms of the expression (x + 2y)^17 are 131,072y^17, 1,111,552xy^16, 4,450,048x^2 * y^15, 11,110,720x^3 * y^14, and 19,507,456x^4 * y^13.

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1. Divide

2. calculate your steps

3. if its not division its multiplication

Thats all you need!!!

The winners of the prizes are distributed throughout the classes as per the percentage of students in the respective group.

The total number of surveyed students is 36.

We calculate the expected number of students for each class is:

Class

Expected Frequency

Freshman

30% of 36 = 10.8

Sophomore

25% of 36 = 9

Junior

25% of 36 = 9

Senior

20% of 36 = 7.2

(b)

We set up:

H0: The number of observed winners is indifferent to the number of expected winners.

H1: The number of observed winners is not indifferent to the number of expected winners.

The Test Statistic Calculation Table:

Class Observed Frequency (fi) Expected Frequency (ei) (fi -ei )² /ei

Freshman 6                                   10.8                                 2.1333

Sophomore 14                                    9                                         2.7778

Junior         9                                    9                                           0

Senior         7                                    7.2                                0.0056

Total =        36                                    36                                    4.9167

The calculated

\(x^{2}\) = 4.9167

The p-value for 4 - 1=3 degree of freedom for the above test score is 0.177999.

(c)

Since p-value (=0.177999) >  α0..05 (standard level of significance),

H0 is failed to be rejected.

The number of observed winners is concluded to be indifferent to the number of expected winners, i.e., the winners of the prizes are distributed throughout the classes as per the percentage of students in the respective group.

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Answer: A

Step-by-step explanation:

It's A because our function of f is multiplied by 3.

Since our y intercept is 1, and we are multiplying the function f by 3,

our new y intercept is 3, meaning it is A.

Another way to check this is by using the other two points on your graph.

Please give brainliest + have a good afternoon.

Answer:

Step-by-step explanation:

Your original function has points at

0, 1

1, 2

2,4  

if you stretched it by 3, multiply your y by 3

new function:

0, 3

1, 6

2, 12

The relationship between the variance and standard deviation is: option a)The standard deviation is the square root of the variance.

The variance of a random variable from its true population or sample mean is expected in probability theory and statistics. The term "variance" refers to a measurement of how widely apart a group of numbers are from one another.

Here,

Variance and standard deviation are both measures of spread. They calculate the deviation of each data point from the mean. The range of data increases with increasing variation. Using the original unit of measurement, the standard deviation measures the same thing as the variance (whereas variance is the original unit squared).

Therefore ,The relationship between the variance and standard deviation is: option a)The standard deviation is the square root of the variance.

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