Please help i don't understand

A majority of the consumers in the sample prefer pepsi over coke.

Based on the given information, a random sample of 100 soft drink consumers tasted an unmarked cup of pepsi and an unmarked cup of coke. Fifty-nine out of the 100 consumers stated that they prefer pepsi over coke.

This means that the majority of the consumers in the sample, or 59%, preferred pepsi over coke. It is important to note that this is only a sample of consumers and may not necessarily reflect the preferences of the entire population of soft drink consumers. However, it does provide some insight into the preferences of a portion of the population.

In conclusion, the results of the taste test indicate that a majority of the consumers in the sample prefer pepsi over coke.

Learn more about soft drink

brainly.com/question/13315399

#SPj11

a)

i)  The function is not harmonic.

ii). The function is harmonic.

b) v is also harmonic in D

a) A function is harmonic if it satisfies the Laplace equation:

∂²u/∂x² + ∂²u/∂y² = 0

i) For the function u = x² + 2x - 4², we can take the partial derivatives with respect to x and y:

∂u/∂x = 2x + 2

∂u/∂y = 0

∂²u/∂x² = 2

∂²u/∂y² = 0

Plugging these into the Laplace equation, we get:

2 + 0 = 0

This is not true, so the function is not harmonic.

ii) For the function u = 2e* cos(y), we can take the partial derivatives with respect to x and y:

∂u/∂x = 0

∂u/∂y = -2e* sin(y)

∂²u/∂x² = 0

∂²u/∂y² = -2e* cos(y)

Plugging these into the Laplace equation, we get:

0 + (-2e* cos(y)) = 0

-2e* cos(y) = 0

This is true for all values of y, so the function is harmonic.

The harmonic conjugate of a function u(x,y) is a function v(x,y) such that f(z) = u(x,y) + i*v(x,y) is analytic. To find the harmonic conjugate of u = 2e* cos(y), we can use the Cauchy-Riemann equations:

∂u/∂x = ∂v/∂y

∂u/∂y = -∂v/∂x

Plugging in the partial derivatives of u, we get:

0 = ∂v/∂y

-2e* sin(y) = -∂v/∂x

Integrating both equations with respect to x and y, we get:

v = C₁

v = 2e* cos(y) + C₂

Setting these equal to each other and solving for v, we get:

v = 2e* cos(y) + C

So the harmonic conjugate of u = 2e* cos(y) is v = 2e* cos(y) + C, where C is a constant.

b) If u is the harmonic conjugate of v in a domain D, then f(z) = u(x,y) + i*v(x,y) is analytic in D. This means that f(z) satisfies the Cauchy-Riemann equations:

∂u/∂x = ∂v/∂y

∂u/∂y = -∂v/∂x

If we take the partial derivatives of these equations with respect to x and y, we get:

∂²u/∂x² = ∂²v/∂x∂y

∂²u/∂x∂y = -∂²v/∂x²

∂²u/∂y∂x = -∂²v/∂y²

∂²u/∂y² = ∂²v/∂y∂x

Adding the first and last equations, we get:

∂²u/∂x² + ∂²u/∂y² = ∂²v/∂x∂y + ∂²v/∂y∂x

Since the mixed partial derivatives are equal, this simplifies to:

∂²u/∂x² + ∂²u/∂y² = 0

So u is harmonic in D. Similarly, we can add the second and third equations to get:

∂²v/∂x² + ∂²v/∂y² = 0

So v is also harmonic in D. Therefore, if u is the harmonic conjugate of v in a domain D, then both u and v are harmonic in D.

Learn more about harmonic

brainly.com/question/9253932

#SPJ11

The coordinates of the two points that intersect with the y-axis are (2, 3) and (-2, 4)

Represent the points with P and Q

A vertical line is a line whose endpoints have the same x-coordinate

i.e. (x, y1) and (x, y2)

Using the above as a guide, we have the following:

We can make use of the coordinates (x1, y1) and (x2, y2), where the values of x's and y's are not the same

An instance of these points is (2, 3) and (-2, 4)

Read more about coordinates at

https://brainly.com/question/28462165

#SPJ1

Answer:

Step-by-step explanation:

31 degreese

add 59 with 90 you get 149 then you subtract 149 with 180 a

nd then get 31

The ratio 3.5cm:1.4cm can be written as the fraction 5/2 in simplest form, with whole numbers in the numerator and denominator.

To write the ratio as a fraction in simplest form, we will follow the steps below:

Step 1: Write the ratio as a fraction. In this case, we have 3.5cm:1.4cm, which can be written as 3.5cm/1.4cm.

Step 2: Simplify the fraction by dividing both the numerator and denominator by the greatest common factor (GCF). In this case, the GCF of 3.5 and 1.4 is 0.7. So we will divide both the numerator and denominator by 0.7 to get:

(3.5cm/0.7) / (1.4cm/0.7) = 5/2

Step 3: Convert the fraction to simplest form with whole numbers in the numerator and denominator. In this case, we can multiply both the numerator and denominator by 10 to get:

(5*10)/(2*10) = 50/20

Step 4: Simplify the fraction by dividing both the numerator and denominator by the GCF. In this case, the GCF of 50 and 20 is 10. So we will divide both the numerator and denominator by 10 to get:

(50/10)/(20/10) = 5/2

Therefore, the ratio 3.5cm:1.4cm can be written as the fraction 5/2 in simplest form, with whole numbers in the numerator and denominator.

To know more about fractions, refer here:

https://brainly.com/question/10354322#

#SPJ11

Question Number 5.

The first and second numbers in the exponential sequence are 10 and 5, respectively.

In the exponential sequence given by a, b, c, d, ..., where a and b are the first two numbers. We know that the third number is given by b * c/a, and the fourth number is given by c * d/b.

the third number = 100

the fourth number = 500,

So b * c/a = 100

c * d/b = 500

rearranging the first equation :

c = 100a/b

Substituting this into the second equation, we then have

d = 500b/a

The sequence is then written as a, b, 100a/b, 500b/a, ...

We then proceed to  find a and b,

a, b, 100a/b, 500b/a, ...

a, b, 100a/b, 500b/a, ... = a, b, 100a/b, 500b/a, ...

100a/b = 100

500b/a = 500

Solving for a and b, we have:

a = 10

b = 5

In conclusion, the first and second numbers in the exponential sequence  are 10 and 5.

Learn more about exponential sequence  at: https://brainly.com/question/30241798

#SPJ1

I'm not 100%

sure

:))))))))))))))))))))))))

Answer:

15, 3, -1, -12

Step-by-step explanation:

15, 3, -1, -12

Answer:

First answer (15, 3, -1, -12)

Step-by-step explanation:

ez

The value of the line segment AB of the trapezoid ABCD will be 25.9 units.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezoid, one pair of opposite sides are parallel.

The sum of the parallel sides of the trapezoid is equal to twice the line segment that divides the other two sides in the ratio of 1: 1.

Then the equation is given as,

MN = (AB + CD) / 2

18.7 = (AB + 11.5) / 2

37.4 = AB + 11.5

AB = 25.9 units

The value of the line segment AB of the trapezoid ABCD will be 25.9 units.

More about the trapezoid link is given below.

https://brainly.com/question/22607187

#SPJ1

The probability that X is greater than 1 is less than or equal to 0.5, making the correct answer (C) 0.5.

Markov's inequality states that for a non-negative random variable X and a positive number a, the probability that X is greater than a is less than or equal to the expected value of X divided by a. In mathematical terms, this can be written as:

P(X > a) ≤ E(X) / a

In this case, X follows an exponential distribution with a mean of 1/2.0, or 0.5. Therefore, the expected value of X is 0.5. If we plug in the values for X and an into Markov's inequality, we get:

P(X > 1) ≤ 0.5 / 1

P(X > 1) ≤ 0.5

To learn more about Probability :

https://brainly.com/question/24756209

#SPJ11

Answer:

Finding the total accrued amount is necessary before we can determine the interest rate.

Simply multiplying the monthly payment by the number of months in a 12-year period will give us the accrued amount.

144 months in 12 years.

$680 x Monthly Payment

A = 680 * 144

A = $97920

We can use the following formula now that we know the total accrued sum:

A= 97920

P = 72000

t= 12

Let's replace them with our values now.

The percentage value is then obtained by multiplying the r value by 100.

0.03 x 100 = 3%

The interest rate for Alexia is 3%.

The number of copies sold in total is 586,301

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.

Given that, a book sold 42800 copies in its first month of release, this represents 7.3 of the number of copies sold to date, we need to find the number of the copies have been sold to date,

Let the number of copies sold in total be x,

Using the concept of percentage,

7.3 % of x = 42800

7.3 / 100 of x = 42800

x = 100/7.3 (42800)

x = 586,301

Hence, the number of copies sold in total is 586,301

Learn more about percentage, click;

https://brainly.com/question/29306119

#SPJ9

Answer:

x-coordinate is 3

Step-by-step explanation:

Q has y-coordinate of -4 => the distance from origin to y-coordinate is 4 units, which is one leg of the right triangle

Pythagorean theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

c^2 = a^2 + b^2

with c = 5, a = 4

5^2 = 4^2 + b^2

b^2 = 25 - 16 = 9

b = √9 = 3

so Q has coordinates (3,-4)

Step-by-step explanation:

First of all sorry for the bad hand writing

so rn I'm using elimination method which I try to eliminate y by multiple number 2 equation with 2

in order to find x

I know my explanation is quite confusing but any way goodluck n hope u understand

We can conclude that Kadoka, Rapid City, Sioux Falls, and Alexandria are all connected by Interstate 90, as shown in the diagram.

What are the attributes of a good conclusion?

The key argument raised throughout the argument's discussion must be summarized in the good conclusion.

a. In below diagram, each city is represented by a point, and the distances between the cities are shown as line segments with the distance in miles labeled above the segment. The distances are labeled in the order in which they appear in the diagram, so for example, the distance between Kadoka and Rapid City is labeled as 96 because that is the distance between the two cities as you move from Kadoka to Rapid City.

b. To support the conclusion that Kadoka, Rapid City, Sioux Falls, and Alexandria are all connected by Interstate 90, we can use the distances given in the problem to show that it is possible to travel from any one city to any other city using only Interstate 90.

First, we note that Kadoka is connected to Rapid City by Interstate 90, because the distance between them is given as 96 miles and no other route is mentioned. Similarly, Rapid City is connected to Alexandria by Interstate 90, because the distance between them is given as 292 miles and no other route is mentioned.

Finally, to show that Alexandria is connected to all the other cities by Interstate 90, we note that the distance between Alexandria and Rapid City is given as 292 miles, and the only way to travel between the two cities is on Interstate 90. Also, since Kadoka is connected to Rapid City by Interstate 90 and Rapid City is connected to Alexandria by Interstate 90, it follows that Kadoka is connected to Alexandria by Interstate 90.

Therefore, we can conclude that Kadoka, Rapid City, Sioux Falls, and Alexandria are all connected by Interstate 90, as shown in the diagram.

To know more about good conclusion visit,

https://brainly.com/question/24542637

#SPJ1

Pippin has 37.5% of her sports drink left.

What is Percentage?

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. Percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

Pippin has 32 - 20 = 12 ounces of sports drink left.

To find the percentage of ounces Pippin has left, you need to divide the number of ounces left by the original amount of sports drink (32) and then multiply by 100 to get the percentage:

(12/32) x 100 = 37.5%

Therefore, Pippin has 37.5% of her sports drink left.

To know more about Percentage visit,

https://brainly.com/question/24877689

#SPJ1

2.75; a kitten who is just born is predicted to weigh 2.75 ounces.

What is Statistics?

Statistics is a branch of mathematics that involves collecting, analyzing, interpreting, presenting, and organizing data. It enables the identification of trends, patterns, and relationships within the data. The goal of statistics is to make meaningful inferences and predictions based on the data.

It is used in a wide range of fields, including business, economics, social sciences, healthcare, and engineering. The main tools of statistics include probability theory, statistical inference, and statistical modeling.

2.75; a kitten who is just born is predicted to weigh 2.75 ounces.

The w-intercept of the line of fit represents the weight of a kitten at birth, which is the value of w when d equals zero. In this case, the intercept is 2.75, which means that a kitten who is just born is predicted to weigh 2.75 ounces.

To learn more about Statistics from the given link

https://brainly.com/question/15525560

#SPJ1

The length of CE is 16 units.

Since ΔCDE ~ ΔCBA, we know that their corresponding sides are proportional. This means that CD/CA = DE/BA = CE/AB. We are given that CD = 10, DA = 8, and CE = 6. We can use the Pythagorean theorem to find CA:

CA^2 = CD^2 + DA^2
CA^2 = 10^2 + 8^2
CA^2 = 100 + 64
CA^2 = 164
CA = √164

Now we can use the proportion CD/CA = DE/BA to find EB:

10/√164 = DE/(8 + EB)
10(8 + EB) = DE√164
80 + 10EB = DE√164
10EB = DE√164 - 80
EB = (DE√164 - 80)/10

We can use the Pythagorean theorem to find DE:

DE^2 = CE^2 + CD^2
DE^2 = 6^2 + 10^2
DE^2 = 36 + 100
DE^2 = 136
DE = √136

Now we can plug DE back into the equation for EB:

EB = (√136√164 - 80)/10
EB = (12√164 - 80)/10
EB = 1.2√164 - 8
EB ≈ 4.26

So the length of EB is approximately 4.26 units.

30. Since ΔCDE ~ ΔCBA, we know that their corresponding sides are proportional. This means that CD/CA = DE/BA = CE/AB. We are given that CD = 10, CA = 16, and EB = 12. We can use the proportion CD/CA = DE/BA to find DE:

10/16 = DE/(8 + 12)
10/16 = DE/20
DE = 20(10/16)
DE = 12.5

Now we can use the Pythagorean theorem to find CE:

CE^2 = CD^2 + DE^2
CE^2 = 10^2 + 12.5^2
CE^2 = 100 + 156.25
CE^2 = 256.25
CE = √256.25
CE = 16

So the length of CE is 16 units.

Learn more about Length

brainly.com/question/30100801

#SPJ11

A 10gm sample of Titanium-44 will have 6.06 grams of mass left after 50 years.

The formula for exponential growth is [tex]y = y_0e^{(kt)}.[/tex]

The formula for exponential decay is [tex]y = y_0e^{(-kt)}.[/tex]

From the information, Titanium-44 has a half-life of 63 years we can model,

[tex]5 = 10.e^{63k}.[/tex]

[tex]0.5 = e^{63k}.[/tex]

[tex]63k = ln0.5.[/tex]

63k = - 0.69.

k = - 0.01.

Therefore, The amount of mass left after 50 years is,

[tex]y_{50} = 10.e^{-0.01\times50}.[/tex]

[tex]y_{50} = 6.06[/tex] grams.

learn more about half-life problems here :

https://brainly.com/question/4456959

#SPJ9

The requried, possible solution sets of the inequality ax + b < cx + d is x < (d - b)/(a-c).

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
To describe the possible solution sets of the inequality ax + b < cx + d, we need to isolate the variable x on one side of the inequality and simplify.

ax + b < cx + d

ax - cx < d - b

x(a-c) < d - b

x < (d - b)/(a-c)

So the solution set for the inequality is all values of x that are less than the quotient of (d - b) divided by (a-c).

Therefore, the possible solution sets of the inequality ax + b < cx + d is x < (d - b)/(a-c).

Learn more about inequality here:

brainly.com/question/14098842

#SPJ9

Answer: Okay, so it's $8 per day to feed all of them. So one way you could answer it could be to say; "It costs $8 per day to feed all of the meerkats,..." then pick a number of days to multiply $8 by.

I hope this helps some!

The secx equivalent of the two expressions are

tan²x = sec²x - 1

tan x =sec x * sin x

Generally, Equalities that utilize trigonometry functions and are true no matter what the values of the variables that are specified in the equation are what are referred to as trigonometric identities. There are many different trigonometric identities that may be found using the length of a triangle's side as well as the angle of the triangle.

a) Using the identity:

tan²x + 1 = sec²x

We can rearrange it to get:

tan²x = sec²x - 1

Therefore, in terms of secx:

tan²x = sec²x - 1

b) Using the identity:

tan x = sin x / cos x

We can rewrite it in terms of sec x as follows:

tan x = sin x / cos x

= (1/cos x) * sin x

= sec x * sin x

Read more about trigonometric identity

https://brainly.com/question/24377281

#SPJ1

Look at the picture.

<, > - dotted line

≤, ≥ - solid line

x > a, x ≥ a - to the right of a

x < a, x ≤ a - to the left of a

y > a, y ≥ a - up from a

y < a, y ≤ a - down from a

Answer:

1. 2430 feet

2. 1.8 m/s^2

Step-by-step explanation:

See the attached worksheet.

A time versus speed graph contains a small treasure of mathematical rewards. The area under the graph is equal to the distance travelled. The slope of the line segments represents acceleration.

For total distance: If we break the graph into three sections (2 triangles and a rectangle) we can calculate the areas for each. Each area is the distance travelled for that segment. As shown on the workseet, the total area is 2430 miles, the distance travelled by the train for this question.

The slope of the line in the first 10 seconds is 1.8 meters/sec^2, the acceleration of the train over that period.

The numbers in the intersection of sets P and Q are 0, 1, 2, 3, and 4.

The integers in Set P are {-7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4}.

The absolute values of these integers are {7, 6, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4}, which make up Set Q. The intersection of Set P and Set Q are the integers that are in both sets, which are {0, 1, 2, 3, 4}.

Therefore, the numbers in the intersection of sets P and Q are 0, 1, 2, 3, and 4.

Learn more about intersections

brainly.com/question/14217061

#SPJ11

The value of k is 13.

Using the remainder theorem, we can find the value of k by substituting the value of x in the given polynomial equation with the value that makes the divisor equal to zero. In this case, the divisor is x-2, so the value of x that makes it equal to zero is x=2.

Substituting x=2 into the polynomial equation, we get:

2(2)^3 + 3(2)^2 - k(2) + 5 = 7

Simplifying the equation, we get:

16 + 12 - 2k + 5 = 7

33 - 2k = 7

-2k = -26

k = 13

Therefore, the value of k is 13.

Learn more about polynomial

brainly.com/question/20121808

#SPJ11

The perimeter of this rectangle is equal to 14 units.

Mathematically, the perimeter of a rectangle can be calculated by using this mathematical expression;

P = 2(L + W)

Where:

For the width, we would determine the distance between the vertices (5, 6) and (5, 1)

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance = √[(5 - 5)² + (1 - 6)²]

Distance = √[(0² + (-5)²]

Distance = √25

Distance = 5 units.

For the length, we have:

Distance = √[(7 - 5)² + (6 - 6)²]

Distance = √[(2² + 0²]

Distance = √4

Length = 2 units.

Perimeter of this rectangle, P = 2(5 + 2)

Perimeter of this rectangle, P = 14 units.

Read more on perimeter of a rectangle here: brainly.com/question/17360327

#SPJ1

Complete Question:

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(5,1). B(7,1), C(7,6), and D(5,6). What is the perimeter of rectangle ABCD?

Answer: 30 millimeters

Step-by-step explanation:

Diameter = Circumference / π

Plug in values:

d = 94.2 / 3.14

d = 30

The diameter is 30 millimeters.

use the slope formula

5 - 9/4-2 = -4/2 = -2

slope = -2