Pharmex is a chain of drugstores that operate around the country. To see how effective its advertising and other promotional activities are, the company has collected data from 50 randomly selected metropolitan regions. In each region, it has compared its own promotional expenditures and sales to those of the leading competitor in the region over the past year. There are two variables: "Promote" reflects Pharmex’s promotional expenditures as a percentage of those of the leading competitor, and "Sales" reflects Pharmex’s sales as a percentage of those of the leading competitor. A portion of the data appears below. Show all work.
Region Promote Sales Region Promote Sales Region Promot Sales
1 77 85 21 103 112 41 100 94
2 110 103 22 95 96 42 96 81
3 110 102 23 103 93 43 88 92
4 93 109 24 89 97 44 109 108
5 90 85 25 97 92 45 109 103
a. Using Excel, create a scatterplot of the data. What do you observe? What type of relationship, if any, is apparent from the scatterplot?
b. Insert a trendline (click on the scatterplot, then click the Layout tab, and choose Trendline). What type of trendline seems to fit best?
c. Under "More Trendline Options," select "Display Equation on chart" and "Display R-squared value on chart." What do you see? What do these numbers mean?

All tables that represent proportional relationship between x and y are:

B. table B.

E. table E.

In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = (20 - 15)/(10 - 5) = (5 - 4)/(1 - 0)

Constant of proportionality, k = 1.

Therefore, the required linear equation is given by;

y = kx

y = x

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

 778.5

Step-by-step explanation:

Given:

The figure KLMN on graph.

Required:

what is the midpoint of the segment that would be created between points L and N .

Explanation:

We know the mid point formula

We have L(-2, 3) and N(6, 3)

and

Answer:

Midpoint is (2,3).

Answer:

x = 65

Step-by-step explanation:

the sum of the interior angles of a quadrilateral = 360°

sum the angles and equate to 360

x + 95 + 118 + 82 = 360

x + 295 = 360 ( subtract 295 from both sides )

x = 65

Answer:

consecutive angles are supplementary

Step-by-step explanation:

all angles in a rectangle are right angles

all right angles = 90 degrees

therefore all consecutive angles in a rectangle = 180 degrees

SUPPLEMENTARY ANGLES EQUAL 180 EGREES

Consider that the given figure depicts two intersecting lines, thereby forming 4 angles.

These angles can be referred to as the upper angle (U), lower angle (L), left side angle (LS), and right side angle (RS).

According to the given information,

Theorem: The vertically opposite angles formed by the intersection of two lines are always equal.

It follows that,

Theorem: The sum of angles constituting a straight line is always 180 degrees.

It follows that,

Now that we know the values of the variables 'x' and 'y', the values of the angles can be obtained as follows,

The value of q is 0.35.

The value of p is 0.16.

The value of r is 0.27.

The value of P(A given NOT B) is approximately 0.4211.

To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.

Given:

P(A) = 0.43

P(B) = 0.62

P(A∩B) = 0.27

Calculating the value of p:

The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.

We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:

p = P(A) - P(A∩B)

= 0.43 - 0.27

= 0.16

Therefore, the value of p is 0.16.

Calculating the value of q:

The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.

We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:

q = P(B) - P(A∩B)

= 0.62 - 0.27

= 0.35

Therefore, the value of q is 0.35.

Calculating the value of r:

The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.

We are given that P(A∩B) = 0.27, so the value of r is 0.27.

Therefore, the value of r is 0.27.

Finding the value of P(A given NOT B):

P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.

To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.

P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)

We can calculate the value of P(A given NOT B) using the provided probabilities:

P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))

= 0.43 - 0.27 / (1 - 0.62)

= 0.16 / 0.38

≈ 0.4211

Therefore, the value of P(A given NOT B) is approximately 0.4211.

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Answer: 12x-3 and 2x+4

Step-by-step explanation: i don’t know if i wanted to add them together. you j distribute that’s how i got my answer.

Answer:

Step-by-step explanation:

These are the two expressions in their simplest forms.

For number 1, use the distributive property to simplify. The 2nd problem remains the same because you can't simplify it any further.

Hope it helps!

13.) The simplified polynomials that can represent the area and perimeter of the large rectangle =40x + 5x² and

12X + 16 respectively.

14.)The simplified polynomials that can represent the area and perimeter of the large rectangle =21+10x + x² and 20+4x respectively.

To determine the simplified polynomials, the formula for the area and perimeter of the rectangule should be used. That is:

Area of rectangle = length×width

where;

length = 5x

width = 8+X

Area = 5x * 8+X

= 40x + 5x²

Perimeter of rectangle = 2(length+width)

= 2(5x + 8+X)

= 10x + 16 + 2x

= 12X + 16

For question 14.)

Area of rectangle = length× width

where;

length = 7+X

width = 3+X

Area = 7+X × 3+X

= 21+7x+3x +x²

= 21+10x + x²

Perimeter = 2(length+width)

= 2(7+X+3 + X)

= 2(10+2x)

= 20+4x

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Let's draw the circle and the lines to see more clear:

The AB and CD are diameters of the circle, so the intersection point K is the center of the circle.

We know the angle BKD=100°, but the angle AKC=BKD because they are opposite angles.

So the measure of arc AC is:

You should note the angle AKC in the above equation must be in radians. To convert degrees to radians use the following equation:

So,

9514 1404 393

Answer:

  (f-g)(x) = 4x^3 +7x^2 -6x +1

Step-by-step explanation:

(f -g)(x) = f(x) -g(x)

  = (4x^3 +7x^2 -2x -1) -(4x -2)

  = 4x^3 +7x^2 +(-2-4)x +(-1+2)

(f -g)(x) = 4x^3 +7x^2 -6x +1

In your fourth year on the job, you can expect to earn $41,327.

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.

Simple Interest = (Principal × Rate × Time) / 100

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

Compound Interest =P(1+r/n)^rt

We are given that;

In this case, P = 34,000, r = 0.05, and n = 4.

Plugging these values into the formula, we get:

A = 34,000(1 + 0.05)^4

A = 34,000(1.05)^4

A = 34,000(1.2155)

A = 41,327

Therefore, by the simple interest the answer will be $41,327.

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Answer:

D

Step-by-step explanation:

total=184 tickets

listeners= x tickets

employees=y tickets

184=x+y

x=3y

plug x into the first equation.

184=3y+y

184=4y

184/4=46

y=46

now plug y into the second equation

x=3(46)

x=138

the listeners got 138 tickets, and the employees got 46 tickets.

Answer:

omg so many Q's

Step-by-step explanation:

Answer:b

Step-by-step explanation: first find the constant of proportionality (y=Kx) and substitute k for 10 because 30/3=10 and then your equation should look like y=10x now see the hours because the person travels 10 mph

It took Ringani 2.8 years  to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate Compounded annually.The correct answer choice is C. 2.8 years.

To determine how long it took Ringani to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into an account with a 7.04% interest rate compounded annually, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the final amount

P is the principal amount (initial deposit)

r is the interest rate (in decimal form)

n is the number of times the interest is compounded per year

t is the time in years

In this case, we have:

P = R8,500.00

A = R30,000.00

r = 7.04% = 0.0704 (in decimal form)

n = 1 (compounded annually)

We want to find the value of t.

Using the formula, we can rearrange it to solve for t:

t = (log(A/P)) / (n * log(1 + r/n))

Substituting the given values, we have:

t = (log(30,000/8,500)) / (1 * log(1 + 0.0704/1))

Calculating this using a calculator, we find that t is approximately 2.8 years.

Therefore, it took Ringani approximately 2.8 years (rounded to one decimal place) to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate compounded annually.

The correct answer choice is C. 2.8 years.

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Daniella: Were you thinking of perpendicular lines?

Ori: It seems like you've got the basic idea, but your definition could be more precise.

Kaori: Yes! Well done. Here, have a cookie. You've earned it.

Answer:

Amount of interest in 30 year = $2,250

Account balance after 30 year = $7,250

Step-by-step explanation:

Given:

Amount deposit P = $5,000

Simple interest rate = 1.5% = 0.015

Find:

Amount of interest in 30 year

Account balance after 30 year

Computation:

Interest = PRT

Amount of interest in 30 year = (5,000)(0.015)(30)

Amount of interest in 30 year = $2,250

Account balance after 30 year = P + I

Account balance after 30 year = $5,000 + $2,250

Account balance after 30 year = $7,250

Answer:

the correct answer is 193

Step-by-step explanation:

25×1-0=25

25×2-1=49

49×2-1=97

97×2-1=193

The discriminant of a quadratic equation is a value derived from the coefficients of the quadratic equation that can be used to determine the nature of the roots of the equation. The discriminant of the equation\(5x^2 - 5x -1 = 0\) is 45. The equation has two real and distinct roots, which are \(x = (1 + \sqrt{5} )/2\) and \(x = (1 - \sqrt{5} )/2.\)

The discriminant of a quadratic equation of the form\(ax^2 + bx + c = 0\) is given by the expression \(b^2 - 4ac\).

To compute the discriminant of the equation\(5x^2 - 5x -1 = 0\), we can use the formula,\(b^2 - 4ac = (-5)^2 - 4(5)(-1) = 25 + 20 = 45.\)

Since the discriminant is positive and greater than zero, the equation has two real and distinct roots.

We can use the quadratic formula to find the solutions of the equation.

The quadratic formula is given by \(x = (-b \pm\sqrt{(b^2 - 4ac)} )/2a.\)

Substituting the values of a, b, and c into the formula, we have:

\(x = (-(-5) \pm \sqrt{( (-5)^2 - 4(5)(-1) ))} /2(5) x = (5 \pm\sqrt{45} )/10\)

Therefore, the solutions of the equation are \(x = (5 + \sqrt{45} )/10 and x = (5 - \sqrt{45} )/10.\)

These solutions can be simplified to \(x = (1 + \sqrt{5} )/2\) and\(x = (1 - \sqrt{5} )/2,\)respectively.

In summary, the discriminant of the equation \(5x^2 - 5x -1 = 0 is 45.\)

The equation has two real and distinct roots, which are \(x = (1 + \sqrt{5} )/2\)and \(x = (1 - \sqrt{5} )/2.\)

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Answer:

y=-3

Step-by-step explanation:

the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The given function is:

f(x) = -(x + 3) - 1

To find the interval over which the function is decreasing, we need to find the values of x where the function's derivative is negative.

The derivative of the function is:

f'(x) = -1

The derivative is a constant, which means the function has a constant slope of -1. Since the slope is negative, the function is decreasing over its entire domain.

Therefore, the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).

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Answer:

14

Step-by-step explanation:

divide the numerator by the denominator

Answer:

5/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-(-4))/(2-(-2))

m=(6+4)/(2+2)

m=10/4

simplify

m=5/2

Answer: 621 cm

A = bh

A = 27 x 23

A = 621

The probability of forming this committee with equal representation is approximately 0.570 or 57.0%.

The total number of individuals in the ATU COVID-19 team of Marshalls is 50 (13+15+10+12). To form an executive committee of 16 with equal representation, we need to choose 4 individuals from each group (4 lecturers, 4 students, 4 administrative staff, and 4 medical personnel).
Using the combination formula, we can calculate the number of ways to choose 4 individuals from each group:
C(13,4) × C(15,4) × C(10,4) × C(12,4) = 715 × 1,455 × 2,385 × 4,095 = 7,976,476,875
Therefore, there are 7,976,476,875 possible ways to form the executive committee with equal representation.
To calculate the probability of forming this committee, we need to divide the number of possible ways by the total number of ways to choose any 16 individuals from the ATU COVID-19 team of Marshalls:
C(50,16) = 13,983,816
The probability of forming the executive committee with equal representation is:
7,976,476,875 / 13,983,816 = 0.570

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Step-by-step explanation:

Let's look at what we know. We know that...

P=2000

r=0.04 (Change 4% to a decimal)

t=7 (25 years minus 18 years equals 7)

n=1

Since we are compounding each year, we need to use this equation: \(P(1+\frac{r}{n} )^{nt}\)

Now just plug the numbers in: (Answer to #1:) \(2000(1+\frac{0.04}{1} )^{(1*7)}\)

This equals 2631.86

When we round, this equals to $2,632. (Answer to #2).

love shot

Step-by-step explanation:

1x24 minus 1 and that is good

hope it helps