through: (0, −5)
slope = −9/4 in standard form

Answer:

n = 4

Step-by-step explanation:

2:8 ==> 2/8

1:n ==> 1/n

2/8 = 1/n

n * 2/8 = n * 1/n

2n/8 = 1

8 * 2n/8 = 8 * 1

2n = 8

n = 8/2

n = 4

The correct option regarding the correlation coefficient of the data-set is given as follows:

C. As budgets increased, the gross revenue increased; r = 0.62.

The correlation coefficient is an index between -1 and 1 that measures the relationship between two variables, as follows:

The coefficient is obtained with a correlation coefficient calculator, inserting the points of the data-set into the calculator.

From the table given by the image, the points are given as follows:

(0.3, 2.05), (0.25, 0.39), (0.2, 1.35), (0.2, 1.24), (0.2, 0.63), (0.18, 0.79), (0.18, 0.53), (0.18, 0.35).

Inserting these points into a calculator, the value of the coefficient is given as follows:

r = 0.62.

Meaning that there is a positive relation amount the variables, and option C is correct.

Option D would be correct if 0.62 was the slope of the line of best fit, hence this is not the case.

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Answer:

answer is attached.

Step-by-step explanation:

Answer:

yes your right

Step-by-step explanation:

The values of of the functions f(x)=3x+2 and g(x)=x²-x are: (14) 14, (15) 26, (16) -4, (17) 2, (18)12, (19) 42 (20)7, (21)2, (22)2, (23)5 (24) 3x+5 (25) 9b²-3b

We should know that in each of the functions, we have to substitute the given values

The given functions are

f(x)=3x+2

g(x)=x²-x

(14) f(x)=3x+2

Substitute for x

f(4)=3*4+2

f(x)=12+2=14

(15) f(8)=3x+2

f(8)=3*8+2

Substitute for x

f(x)=24+2 = 26

(16) f(-2)=3*-2+2

Substitute for x

f(-2)=-6+2

f(x)=-4

(17) g(2)=2²-2

Substitute for x

g(x)=4-2

g(x)=2

(18) g(-3)=3²-(-3)

Substitute for x

g(x)=9+3 = 12

(19)g(-6)=-6²-(-6)

g(x)=36+6 = 42

(20) f(2)+1

Substitute for x

=2*3+1

=6+1

=7

(21)  f(1)-1

3*1-1 = 2

(22) g(2) -2

2²-2

4-2=2

23 = g(-1)+4

-1²+4

1+5=5

(24) f(x+1)

Substitute for x

= 3(x+1)+2

=3x+3+2

=3x+5

(25) g(3b)

Substitute for x

=(3b)²-3b

9b²-3b

In conclusion, the values of the values of of the functions f(x)=3x+2 and g(x)=x²-x are: (14) 14, (15) 26, (16) -4, (17) 2, (18)12, (19) 42 (20)7, (21)2, (22)2, (23)5 (24) 3x+5 (25) 9b²-3b

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Domain: x > –6; range: all real numbers are the domain and range of f (x).

What is domain and range ?

The range of values that can be plugged into a function is known as its domain. The x values for a function like f make up this set (x).

                              The collection of numbers that the function assumes is known as its range. After we enter an x value, the function outputs this sequence of values.

we need to remove all the values of x such that

x + 6 ≤ 0

Solving for x, we get

x ≤ -6

So the only values of x allowed are the ones that make the next inequality true:

x > -6.

Thus we can write the domain as:

D {x | x ∈ R | x > -6}

Where the second part, x ∈ R, is usually ignored, as we assume that x is a real number .

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Answer:

2 or B

Step-by-step explanation:

The answer above is correct.

Answer: 1.5 hours

Step-by-step explanation:

I assume you’re trying to find how much time she is doing other activity.

2 1/4 - 3/4 is equal to:

2.25-0.75

That equals 1.5.

Answer:

D

Step-by-step explanation:

multiply by 8 and add 5.

so,

we need to do this for every unit value and see, if the result is the same as the listed output value.

5 -> 5×8 + 5 = 45

6 -> 6×8 + 5 = 53

7 -> 7×8 + 5 = 61

8 - > 8×8 + 5 = 69

9 -> 9×8 + 5 = 77

10 -> 10×8 + 5 = 85

so, D is the correct answer.

When she uses 5 bags of coffee every day at her café, half of a bag of coffee lasts for 10 days.

Multiplication is the inverse of division. If 3 groups of 4 add up to 12, 12 split into 3 equal groups adds up to 4 in each group in division. The basic purpose of splitting is to determine how many equal groups develop or how many people are in each group when distributing equally. Division is a basic operation that divides an integer. It's best to imagine of it as a group of things being distributed among a group of individuals, as in the preceding example.

Here,

number of bags needed in a day=5

number of days 1/2 bag last,

=5÷1/2

=10 days

Half of bag of coffee last for 10 days when she uses 5 bags of coffee every day in her café.

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Answer:

The answer is 2

Step-by-step explanation:

y2-y1/x2-x1

Answer:

ty

Step-by-step explanation:

Santiago creates a playlist of Latin dance music. The playlist contains bachata, salsa, and mambo tracks, as shown in the table. Santiago puts the playlist on shuffle mode. What is the probability that the first track he hears is a salsa track?

Answer:8/20

Step-by-step explanation:i did the quiz and it is correct

The probability of men whose height falls between 70 and 73 inches is  0.273. Therefore, the percent of men whose height falls between 70 and 73 inches is 27.3%. Therefore, the solution is 27.3%.

The standard deviation is a quantity that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability.

We are informed that the heights of men in the U.S are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. We need to determine the percent of men whose height falls between 70 and 73 inches. We would first evaluate the probability that the height of a randomly selected individual would fall between 70 and 73 inches;

This can be done in stat-crunch;

Click Stat, highlight on Calculators then click Normal

In the pop-up window that appears click Between

Enter the given values of mean and standard deviation; 70 and 3 respectively

Enter the values 70 and 73 in the next set of boxes in that order

Finally, click on compute;

Stat-Crunch returns a probability of 0.273. Therefore, the percent of men whose height falls between 70 and 73 inches is 27.3%. Therefore, the solution is 27.3%.

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The area expression as products is 7 * (8 + 6)

From the question, we have the following parameters that can be used in our computation:

Area = 54 + 42

Express 54 as a product of 7 and 8

So, we have the following representation

Area = 7 * 8 + 42

Express 42 as a product of 7 and 6

So, we have the following representation

Area = 7 * 8 + 7 * 6

Factor out 7

This gives

Area = 7 * (8 + 6)

Hence, the expression using GCF is 7  * (8 + 6)

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You should have started the building on the opposite ray; you started it on the incorrect ray. It divides R into two parts

Draw an arc across both of the angle's rays beginning at the vertex.Draw a new set of intersecting arcs from each pair of existing arcs.The angle bisector is created by drawing a line from the vertex to the intersection.

A line that bisects or splits an angle into two equal halves is called an angle bisector. If the angle's measurement is known, all we would need to construct an angle bisector geometrically is a ruler, pencil, compass, and protractor. An angle bisector can cut any angle in half.Make an arc that touches both sides. Place the cursor where the arc meets the horizontal side. On the inside of the angle, make a second arc mark.

The correct answer is option d)You started the construction the wrong ray, you should have started on the other.

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For 10 days that bag will last when Mr. Eder's buys 6 pound bag of dog food, using kg to pound conversion and simple basic arithmetic operation.

How to convert kg to pound ?

We know that 1 Kg = 2.20 pound.

The dog is to eat 1/4 * 2.20 = 0.55 pound food

Weight of bag brought by him = 6 pound

The basic operations are :

Addition : (+) To get sum of two or more values

e.g. a = 3, b = 5

Addition = 3+5

              = 8

Subtraction : (-) The result of subtraction is the “difference”

e.g. Subtraction of a and b = a-b

                                             = 3-5

                                            = -2.

Multiplication : (*) The result of multiplication is the “product”

e.g. Multiplication of a and b = 3*4

                                                = 12

Division : (/) The result of division is the “quotient”

e.g. Division of 4 and 2 is = 4/2

                                           = 2.

so, the number of days bag can be used = 6/0.55

                                                                     = 10.90

So, the bag can be used for complete 10 days.

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Answer:

The first answer on the bottom goes with the picture on top.

The second answer on the bottom goes with the table on the bottom.

Step-by-step explanation:

It is just asking you to list the x values and the y value.  The x values are the domains and the y values are the ranges.  That's it.

The possible slope of the line is (c) 3

From the question, we have the following parameters that can be used in our computation:

This means that the line is ascending from left to right in which case, the slope of the line is positive.

So, the possible values of the slope include the set of numbers greater than 0.

From the options, we have (c) 3

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The true statements are 1 < 3 and -3 < 1. Options 3 and 4 are correct.

A number line is a pictorial representation of numbers on a straight line. It's a reference for comparing and ordering numbers. It can be used to represent any real number that includes every whole number and natural number.

-3 > 1 is false because a positive is always greater than a negative

-3=3 is false because a positive is not equal to a negative

1 < 3 is correct because 1 is less than 3

-3 < 1 is correct because a negative is always less than a positive.

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Answer:

------------------------------

Given:

Find y if x = a:

Correct choice is B.

The length of the line segment with endpoints P(2, 1, -4) and Q(-1, 5, 3) is 8.60 units

To find the length of a line segment with endpoints P(x1, y1, z1) and Q(x2, y2, z2) in three-dimensional space, we can use the distance formula:

length = √((x2 - x1)² + (y2 - y1)² + (z2 - z1)²)

Substituting the coordinates of P and Q into the formula, we get:

length = √((-1 - 2))²  + (5 - 1))²  + (3 - (-4)))² )

          = √((-3))²  + (4))²  + (7))² )

         = √(9 + 16 + 49)

         = √(74)

        = 8.60 units

Therefore, the length of the line segment is 8.60 units

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As per the sign system of the Cartesian plane coordinates of A' will be (x,-y).

The cartesian plane is defined in mathematics as a two-dimensional coordinate plane formed by the intersection of the x- and y-axes. The origin is the point where the x- and y-axes intersect perpendicularly.

Quadrant one (QI) is the top right fourth of the coordinate plane, where all coordinates are positive. Quadrant two (QII) is the coordinate plane's top left fourth. Quadrant three (QIII) is the fourth from the bottom left. Quadrant four (QIV) is the fourth from the bottom right.

Given:

The direction of rotation = clockwise, (from the first quadrant to forth quadrant then third quadrant, and so on)

Angle of rotation = 90° about the origin

According to the question, let's take our start point as A(x, y)

So, A( x, y) will lie in the first quadrant.

After 90° rotation about the origin A' will lies in fourth quadrant.

As per the sign system of the Cartesian plane coordinates of A' will be (x,-y).

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The proof of the diagonals of the rectangle are congruent, is given.

When two figures or objects in geometry have the same forms, sizes, or are mirror images of one another, they are said to be congruent.

We have the parallelogram SPQR.

And SQ is the diagonal.

d(S,P) = √(0-0)² + √(b-0)²

d(S,P) = √b²

d(S,P) = b

So, distance SP = b

d(P, Q) = √(a-0)²+ √(b-b)²

d(P, Q) = √a²

d(P, Q) = a

So, distance of  PQ = a

SQ = c²= a² + b²

SQ = √(a² + b²)

Similarly, for the other vertices.

Therefore, The diagonals are congruent.

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The asymptotes for the given function are y = 1 and x = 4 respectively.

An asymptote to any function can be defined as a line that touches the graph of the function as the coordinates of the graph approaches infinity.

[tex]\lim_{x \to \infty}[/tex]The given function is R(x) = (x² - 25)/(x² - 8x + 16)

Since, the given function is not defined at  x² - 8x + 16 = 0.

The values of x can be found as below,

x² - 8x + 16 = 0

⇒ (x - 4)² = 0

⇒ x = 4

Now, [tex]\lim_{x \to \ 4}} R(x)[/tex] = [tex]\lim_{x \to \ 4}[/tex] (x² - 25)/(x² - 8x + 16)

                              = -9/0

                              = -∞

Hence, at x = 4 the function has a y asymptote.

Again, in order to find x asymptotes compute the following limit,

[tex]\lim_{x \to \infty} R(x)[/tex] = [tex]\lim_{x \to \infty}[/tex] (x² - 25)/(x² - 8x + 16)

Apply L' Hospital rule to get,

[tex]\lim_{x \to \infty}[/tex] (x² - 25)/(x² - 8x + 16) =  [tex]\lim_{x \to \infty}[/tex] 2x/ (2x - 8)

⇒ [tex]\lim_{x \to \infty}[/tex] 2/2 = 1

Thus, the x asymptote of the function is at y = 1.

Hence, the horizontal and vertical asymptotes of the given function are  y = 1 and x = 4 respectively.

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0.117 Or 11.7% chance of n should the player choose in order to maximize the probability of winning a prize.

The probability of precisely x successes on n further trials in an experiment with two potential outcomes is referred to as the binomial probability (commonly called a binomial experiment).

When a procedure is performed a certain number of times (for example, in a group of patients), the result for each patient can either be a success or a failure, the binomial distribution model enables us to calculate the probability of witnessing a defined number of "successes."

The probability of winning a prize remains the same for. n = 10 or n=20 or n = 100; the probabilities are the same.

Given that,

p = 0.5, So, q = 1 - 0.5 = 0.5.

If 70% of 'n' games are won then 30% of n games must be lost.

Let n = 10.

Therefore, P ( x = 3) = [tex]^{10}C_3p^7q^3[/tex]

or, P ( x = 3) = [tex]^{10}C_3(0.5)^7(0.5)^3[/tex]

or, P (x = 3) = 120×0.0078×0.125.

or, P (x = 3) = 0.117 Or 11.7% chance.

Now, Changing the value won't have any effect as all the 'n's are multiple of 10 and we'll have same probability.

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the value of y is 3 when the value of x is 8.

what is proportional relationship?

When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant.

Given x and y will have a proportional relationship if the ratio of x to y will be equal for all given values.

Given y is inversely proportional to x

When x=3, y=1/x = 8

So when x = 8 the value of y =3

Hence the value of y is 3 when the value of x is 8.

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Solving this equation gives us a half-life of approximately 1.36 years. Rounded to two decimal places, the half-life of this substance is 1.36 years.

The half-life of a substance is the amount of time it takes for half of the atoms in a sample of the substance to decay.

To find the half-life, you can use the following formula:

half-life = (time) * ln(2) / ln(initial mass / final mass)

half-life = (1 year) * ln(2) / ln(32 mg / 25.5 mg)

Solving this equation gives us a half-life of approximately 1.36 years.

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Shahina can make apple crumble for 6 people with 550g of apple

From the question, we have the following parameters that can be used in our computation:

For 8 people it is:

700g of apple, 40g butter, 240g sugar and 180g flour

This means that the grams of apple for 1 person is

Apple unit rate = 700g of apple/Number of people

Substitute the known values in the above equation, so, we have the following representation

Apple unit rate = 700g of apple/8

For 6 people, we have the following equation

Amount = Apple unit rate * Number of people

Substitute the known values in the above equation, so, we have the following representation

Amount = 6 * 700g of apple/8

Evaluate

Amount = 525g of apple

525g of apple is less than 550g of apple

Hence, she can make apple crumble for 6 people

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Answer: 3.74 inches.

Step-by-step explanation: We can use the following to help us solve this proportion:

1.4 / 1.54 = 3.4 / x (where x is the unknown value that we are trying to solve)

1.54 / 1.4 = 1.1

x / 3.4 = 1.1

The only number that can make the following above true is 3.74, so that is your answer.

Let me know if this is right! :)

Answer:

The length of the sides of the second pentagon would be half of 5 inches, or 2.5 inches. This is because when you halve the length of a line, the new line is half as long as the original.