Please help me im new to the site. A soda company had sales of $35,119 million in 2010 and $45,962 million in 2014. Use the Midpoint Formula to estimate the sales in 2012. Assume that the sales followed a linear pattern.

Answer:

$83.60

Step-by-step explanation:

22 x $3.80 = $83.60

Answer:

False.

Step-by-step explanation:

The statement is false. The median is not related to the category in a frequency distribution that contains the largest number of cases. The median is a measure of central tendency that represents the middle value in a set of data when arranged in ascending or descending order. It divides the data into two equal halves, with 50% of the data points falling below and 50% above the median. The category in a frequency distribution that contains the largest number of cases is referred to as the mode, which represents the most frequently occurring value or category.

False. The median is not the category in a frequency distribution that contains largest number of cases.

The centre value of a data set, whether it is ordered in ascending or descending order, is represented by the median, a statistical metric. The data is split into two equally sized parts. The median in the context of a frequency distribution is not the category with the highest frequency, but rather the midway of the distribution.

You must establish the cumulative frequency in order to find the median in a frequency distribution. The running total of frequencies as you travel through the categories in either ascending or descending order is known as cumulative frequency. Finding the category where the cumulative frequency exceeds 50% of the total frequency can help you find the median once you know the cumulative frequency.

Learn more about median here:

https://brainly.com/question/300591

#SPJ11

The reduced ratio for sin(D) is \(\sqrt{33}/ 17.\) and ratio for cos(D) is 16 / 17.

What is Pythagorean theorem ?

The Pythagorean theorem is a fundamental concept in mathematics that describes the relationship between the sides of a right triangle. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In mathematical notation, this can be expressed as:

\(a^2 + b^2 = c^2\)

where a and b are the lengths of the legs (the two sides that form the right angle), and c is the length of the hypotenuse.

According to the question:
Using the same labeling of the triangle, we can apply the Pythagorean theorem to find the length of the opposite side O:

\(O^2 = H^2 - A^2\)

\(O^2 = 34^2 - 32^2\)

\(O^2 = 1156 - 1024\)

\(O^2 = 132\)

\(O = \sqrt{132}\)

\(O = 2 * \sqrt{33}\)

Now we can find sin(D) and cos(D) using the definitions:

sin(D) = O/H

cos(D) = A/H

Substituting in the given values, we get:

\(sin(D) = 2 * \sqrt{33} / 34\)

To reduce this ratio, we can simplify the numerator by dividing by 2:

\(sin(D) = \sqrt{33} / 17\)

So the reduced ratio for sin(D) is \(\sqrt{33}/ 17.\)

Now let's find cos(D):

cos(D) = 32 / 34

cos(D) = 16 / 17

So the reduced ratio for cos(D) is 16 / 17.


To know more about Pythagorean theorem visit:
https://brainly.com/question/14930619
#SPJ1

Answer:

279 miles

Step-by-step explanation:

First, subtract the base fee from his total charge:

248.52 - 16.95

= 231.57

Divide this by 0.83 to find how many miles he drove:

231.57/0.83

= 279

So, he drove 279 miles

Answer:

WHAT NEEDS TO BE ANSWERED?????

Step-by-step explanation:

I CAN MAYBE HELP!!!

Answer:

Which DId you forgot to link it?

Step-by-step explanation:

In this case the answer is very simple. .

We must calculate the difference of the two temperatures.

Step 01:

Data

T1 = -22

T2 = -5

Step 02:

The difference would be

T2 - T1 = -5 - (-22)

= -5 + 22

= 18

That is the solution.

Let's consider a right triangle with an angle θ such that sin θ = x. By definition,  To prove the identity cos(sin^⁻¹x) = √(1 - x^2), we can use the properties of trigonometric functions and inverse trigonometric functions.

Let's consider a right triangle with an angle θ such that sin θ = x. By definition, sin^⁻¹x represents the angle whose sine is x. In the triangle, the side opposite to θ has length x, and the hypotenuse has length 1.

Using the Pythagorean theorem, we can find the length of the adjacent side, which is √(1 - x^2). This represents the cosine of the angle θ.

Therefore, we have cos(sin^⁻¹x) = √(1 - x^2), which proves the given identity.

To elaborate further, we can use the definition of sine and cosine in terms of the sides of a right triangle. The sine of an angle θ is defined as the ratio of the length of the side opposite to θ to the length of the hypotenuse. In this case, sin θ = x.

Using the Pythagorean theorem, we find that the length of the adjacent side is √(1 - x^2). This length represents the cosine of the angle θ.

Thus, we have cos(sin^⁻¹x) = √(1 - x^2), demonstrating the validity of the given identity.

Learn more about Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ11

Answer:

$20

Step-by-step explanation:

0.50 per song

Y will equal the cost and X will be the number of songs

Y=5+(0.50)x or Y=5+0.50(30)

Answer:

5x-5

This equal : 120

2x+10

the second is 60

Answer: 10 I think

Step-by-step explanation: Jill sold half and you dont know how much it is you know that now she has 36, but before she bought 16 so 36 - 16 = 20 but she sold half

Answer:10 magazines

Step-by-step explanation:

36-16/2=m

20/2=m

10=m. m=magazine

Answer:

4

Step-by-step explanation:

R + the 4 spaces to T

Answer:

The angles are 110, 110 and 140

Step-by-step explanation:

Let the equal angles be x.

So we have angles x, x and another third one

Now, the other third angle is 30 degrees larger than x, this means that the other third angle is 30 + x

Since they are angles at a point, adding the three together will make or give 360.

Thus,

x + x + x + 30 = 360

3x + 30 = 360

3x = 360-30

3x = 330

x = 330/3

x = 110

So the other third angle is 110 + 30 = 140

So the angles are 110, 110 and 140

The solution to the system of equations is x = 11.5 and y = -27.5.

The solution to the system of equations is x = 2 and y = 1

The solution to the system of equations is x = -12 and y = 7.

The solution to the system of equations is x = 0.5 and y = -6.

A system of linear equations can be solved graphically, by substitution, by elimination, and by the use of matrices.

To solve the system of equations:

3x + y = 7

5x + 3y = -25

We can use the method of substitution or elimination to find the values of x and y.

Let's solve it using the method of substitution:

From the first equation, we can express y in terms of x:

y = 7 - 3x

Substitute this expression for y into the second equation:

5x + 3(7 - 3x) = -25

Simplify and solve for x:

5x + 21 - 9x = -25

-4x + 21 = -25

-4x = -25 - 21

-4x = -46

x = -46 / -4

x = 11.5

Substitute the value of x back into the first equation to find y:

3(11.5) + y = 7

34.5 + y = 7

y = 7 - 34.5

y = -27.5

Therefore, the solution to the system of equations is x = 11.5 and y = -27.5.

To solve the system of equations:

2x + y = 5

3x - 3y = 3

Again, we can use the method of substitution or elimination.

Let's solve it using the method of elimination:

Multiply the first equation by 3 and the second equation by 2 to eliminate the y term:

6x + 3y = 15

6x - 6y = 6

Subtract the second equation from the first equation:

(6x + 3y) - (6x - 6y) = 15 - 6

6x + 3y - 6x + 6y = 9

9y = 9

y = 1

Substitute the value of y back into the first equation to find x:

2x + 1 = 5

2x = 5 - 1

2x = 4

x = 2

Therefore, the solution to the system of equations is x = 2 and y = 1.

To solve the system of equations:

2x + 3y = -3

x + 2y = 2

We can again use the method of substitution or elimination.

Let's solve it using the method of substitution:

From the second equation, we can express x in terms of y:

x = 2 - 2y

Substitute this expression for x into the first equation:

2(2 - 2y) + 3y = -3

Simplify and solve for y:

4 - 4y + 3y = -3

-y = -3 - 4

-y = -7

y = 7

Substitute the value of y back into the second equation to find x:

x + 2(7) = 2

x + 14 = 2

x = 2 - 14

x = -12

Therefore, the solution to the system of equations is x = -12 and y = 7.

To solve the system of equations:

2x - y = 7

6x - 3y = 14

Again, we can use the method of substitution or elimination.

Let's solve it using the method of elimination:

Multiply the first equation by 3 to eliminate the y term:

6x - 3y = 21

Subtract the second equation from the first equation:

(6x - 3y) - (6x - 3y) = 21 - 14

0 = 7

The resulting equation is 0 = 7, which is not possible.

Therefore, there is no solution to the system of equations. The two equations are inconsistent and do not intersect.

To solve the system of equations:

4x - y = 6

2x - y/2 = 4

We can use the method of substitution or elimination.

Let's solve it using the method of substitution:

From the second equation, we can express y in terms of x:

y = 8x - 8

Substitute this expression for y into the first equation:

4x - (8x - 8) = 6

Simplify and solve for x:

4x - 8x + 8 = 6

-4x + 8 = 6

-4x = 6 - 8

-4x = -2

x = -2 / -4

x = 0.5

Substitute the value of x back into the second equation to find y:

2(0.5) - y/2 = 4

1 - y/2 = 4

-y/2 = 4 - 1

-y/2 = 3

-y = 6

y = -6

Therefore, the solution to the system of equations is x = 0.5 and y = -6.

To learn more about Equation from the given link

https://brainly.com/question/13729904

#SPJ4

Answer:

Step-by-step explanation:

Angle UTV is a central angle. The rule is that the measure of a central angle is the same as the measure of the arc its rays intercept. Angle UTV intercepts arc UV which measure 68 degrees. Therefore, angle UTV also measures 68 degrees.

As far as the next angle goes, angle VUW, the rule is that the measure of the angle is half the measure of the arc it intercepts. So angle VUW = 34 degrees

Answer:

Step-by-step explanation:

-5y+6x=40

15y/15=40/15-6x/15

y=8/3-2/5x

Answer:

161.568

Step-by-step explanation:

use a calculator just multiply

Answer:

Step-by-step explanation:

the standard form is

1.496 × 10^8=149,600,000 km

Answer:

100000000

Solution:

9^4=6561

3^0=1

3^1=3

3^2=9

3^3=27

3^4=81

3^5=243

3^6=729

3^7=2187

3^8=6561

6561=(1×3^8)+(0+3^7)+(0×3^6)+(0^3^5)+(0×3^4)+(0×3^3)+(0×3^2)+(0×3^1)+(0×3^0)

100000000 with the base of 3

Answer:

x = -2

Step-by-step explanation:

20(x+9)=140

divide both sides by 20

x + 9 = 7

move the 9

x = 7 - 9

x = -2

Answer:

x = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

20(x + 9) = 140

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 140 does indeed equal 140.

∴ x = -2 is the solution to the equation.

using the fifth partial sum of the exponential series, the approximation for e^(-2.5) is approximately 1.649 (rounded to three decimal places).

To approximate the value of e^(-2.5) using the fifth partial sum of the exponential series, we can use the formula:

e^x = 1 + x + (x^2 / 2!) + (x^3 / 3!) + (x^4 / 4!) + ... + (x^n / n!)

In this case, we have x = -2.5. Let's calculate the fifth partial sum:

e^(-2.5) ≈ 1 + (-2.5) + (-2.5^2 / 2!) + (-2.5^3 / 3!) + (-2.5^4 / 4!)

Using a calculator or performing the calculations step by step:

e^(-2.5) ≈ 1 + (-2.5) + (6.25 / 2) + (-15.625 / 6) + (39.0625 / 24)

e^(-2.5) ≈ 1 - 2.5 + 3.125 - 2.60417 + 1.6276

e^(-2.5) ≈ 1.64893

Therefore, using the fifth partial sum of the exponential series, the approximation for e^(-2.5) is approximately 1.649 (rounded to three decimal places).

To learn more about  exponent click here:

brainly.com/question/32761785

#SPJ11

Answer:

24 boys & 20 girls

Step-by-step explanation:

Last year:

Number of boys = x

Total number = 45

Number of girls = 45 - x

An increase of 20% is the same as multiplying by 1.2

A decrease of 10% is the same as multiplying by 0.8

This year:

New number of boys: 1.2x

New number of girls: 0.8(45 - x)

New total number = 45 - 1 = 44

1.2x + 0.8(45 - x) = 44

1.2x + 36 - 0.8x = 44

0.4x + 36 = 44

0.4x = 8

x = 20

Last year there were 20 boys and 25 girls.

This year there are 20 * 1.2 = 24 boys

and 44 - 24 = 20 girls

Answer: 24 boys & 20 girls

Answer: A. mode

Step-by-step explanation: Mode is not a measure of the degree of spread or dispersion of scores.

Amount of iced-tea consumed during party was 92 cups, which is equivalent to 23 quarts. It's important to note difference between volume units such as cups and quarts, and the conversion factor between them.

To determine the number of cups of iced-tea that were consumed during the party, we need to subtract the amount that remained from the total amount that was in the drink dispenser at the start of the party.

One cup of iced tea is equal to 1/16 of a quart, so 7 cups is equal to

7 * (1/16) = 7/16 quarts.

Thus, the total amount of iced tea that was consumed during the party is 912 quarts -

7/16 quarts = 912 - 7/16

= 912 - 7 * (1/16)

= (912 * 16 - 7 * 1) / 16

= 1476 / 16

= 92.25 cups, rounded down to the nearest whole number, which is 92 cups.

It is important to note that the answer is given in cups and not quarts. Quarts is a unit of volume and cups is a unit of volume as well, but they are not equivalent. 1 quart is equal to 4 cups. If we wanted to express the amount of iced tea consumed in quarts, we would multiply the answer by 1/4.

In conclusion, the number of cups of iced tea consumed during the party is 92 cups, and if we express this in quarts it is equivalent to

92 * (1/4) = 23 quarts.

Learn more about volume here:

https://brainly.com/question/13807002

#SPJ4

If  R²₁ + A₁ = R for all i and A; + Ai = R for all i ≠ j, then there is a monomorphism of rings OR/(A₁, Dots, NA₂) ⟶ R/A₁ X R/A₂ X ⋯ X R/An.

Given ideals A₁, ..., An in a ring R, if R²₁ + A₁ = R for all i and A; + Ai = R for all i ≠ j, then there exists a monomorphism of rings OR/(A₁, Dots, NA₂) ⟶ R/A₁ X R/A₂ X ⋯ X R/An .

Let A₁, ..., An be ideals in R. If R²₁ + A₁ = R for all i and A; + Ai = R for all i ≠ j,

then it means that R/Ai ⊕ Aj isomorphic to R/ (Ai + Aj) by the Second Isomorphism Theorem.

Let Φ: R → R/A₁ X R/A₂ X ⋯ X R/An be defined as

Φ(r) = (r + A₁, r + A₂, ..., r + An).

Then the kernel of Φ is the intersection of the ideals A₁, ..., An, i.e., ker(Φ) = A₁ ∩ A₂ ∩ ⋯ ∩ An = (A₁, Dots, NA₂).

By the First Isomorphism Theorem, Φ induces a monomorphism of rings

OR/(A₁, Dots, NA₂) → Im(Φ) ≅ R/A₁ X R/A₂ X ⋯ X R/An.

Hence, if R²₁ + A₁ = R for all i and A; + Ai = R for all i ≠ j, then there is a monomorphism of rings OR/(A₁, Dots, NA₂) ⟶ R/A₁ X R/A₂ X ⋯ X R/An.

To know more about monomorphism , visit:

https://brainly.com/question/32504207

#SPJ11

Answer:

7, 8, 9

Step-by-step explanation:

1/5 = 6/30

1/3 = 10/30

The average length encoding of a letter for a Huffman code of the letters and their given frequencies will be 245.

We have,

Frequencies:

a = 0.15 = 15,

b = 0.25 = 25,

c = 0.20 = 20,

d = 0.35 = 35,

e = 0.05 = 5,

So,

Now,

According to the question,

We will make Huffman tree,

i.e.

a = 0.15 = 15,

b + c = 25 + 20 = 45

d + e = 35 + 5 = 40,

Now,

a + b + c + d + e = 100

So,

a = 11 = 2 digits

b = 101 = 3 digits

c= 100 = 3 digits

d= 01 = 2 digits

e= 00 = 2 digits

And,

We know that,

Total bits required to represent Huffman code = 12.

So,

Now,

The average code length = a * 2 digits + b * 3 digits + c * 3 digits + d * 2 digits + e * 2 digits

i.e.

The average code length = 15 × 2 + 25 × 3 + 20 × 3 + 35 × 2 + 5 × 2

On solving we get,

The average code length = 245

Hence we can say that the average length encoding of a letter for a Huffman code of the letters and their given frequencies will be 245.

Learn more about Huffman code here

https://brainly.com/question/18916556

#SPJ4

Answer:

it is 19

Step-by-step explanation:

follow the order of operations

P

E

M

D

A

S

The height of the trapezoidal glass window is \(3\frac{1}{2}\) inches.

What is a trapezoid?

A trapezoid is a four-sided flat shape with straight sides that has two parallel sides.

We can use the formula for the area of a trapezoid to solve for the height of the window:

Area = (base1 + base2) / 2 * height

Substituting the given values, we get:

\(12\frac{1}{4} = (4 \frac{1}{2} + 2 \frac{1}{2} )\) * height

First, let's simplify the bases:

\(12\frac{1}{4}\) = 7 / 2 * height

Now we can solve for the height by dividing both sides by 7/2:

height = 2 * \(12\frac{1}{4}\) / 7

height = 2 * 49 / 28

height = 98 / 28

height = \(3\frac{1}{2}\) inches

Therefore, the height of the trapezoidal glass window is \(3\frac{1}{2}\) inches.

To know more about trapezoids visit:

brainly.com/question/12221769

#SPJ9