The mean of four numbers is 2.6
One of the four numbers is 5
Find the mean of the other three numbers.

Answer:

If y and x have a proportional relationship, then we can write an equation of the form y = kx, where k is a constant of proportionality.

To find the value of k, we can use the given values of y and x:

y = kx

24 = k(12)

k = 2

Now that we know k, we can use the equation to find the value of y when x=16:

y = kx

y = 2(16)

y = 32

Therefore, when x=16, y=32.

Answer:

6x³

Step-by-step explanation:

X x X = x² + 4x + 2x = 6x³

Answer:

796871

Step-by-step explanation:

Based on the given conditions, formulate:

5000 x (1 - (1 + 10%) 10)

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

           1 - (1 + 10%)                                                                          

Evaluate the equation/expression:

796871.23005

Find the closest integer to

798871.23005

=  796871

The X variables have an overall correlation of 0. VIF, or Variance Inflationary Factor, measures the

Regression analysis's level of multicollinearity is gauged by a variance inflation factor, or VIF. When several independent variables in some kind of a model with multiple regression correlate with one another, this is known as multicollinearity. The regression findings may be significantly impacted by this.

Greater correlation between the variable and other variables is indicated by a higher value. With values of Ten or more being considered very high, values greater than 4 or 5 are occasionally considered to be moderate to high.

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For the linear function built from the scatter plot, it is found that:

The slope-intercept representation of a linear function is the rule presented as follows:

y = mx + b

The coefficients of the function and their meaning are listed as follows:

From the graph, we have that when x = 0, y = 500, hence the intercept of the line is:

b = 500.

When the input increases by 200, the output increases by 1000, hence the slope is:

m = 1000/2 = 5.

Thus the equation is:

y = 5x + 500.

The graph is given by the image at the end of the answer.

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Answer:

Given, altitude, h = 6 inches, base, b = 16 inches

Now,

Area = 1/2 × b × h

= 1/2 x 16 × 6

= 48 Square inches.

Answer:

Kk

Step-by-step explanation:

Depends on you bro

Have a nice day!?

Answer:

......free marks? .......

Answer:

6.2

Step-by-step explanation:

3.7 + 2.5 = 6.2 Therefore w = 6.2

the fraction form of the number will be 5 / 18.

We are given the decimal number as:

0.83(bar on 3) = F ...(1)

Now, we need to convert this into fraction.

For this, we will first multiply both the sides by 10

Do, we get that:

8.33 ( bar on 3) = 10 F ...(2)

Now, we will Subract (1) from (2), we get that:

9 F = 8.33 (bar on 3) - 0.83 (bar on 3)

9 F = 7.5

F = 7.5 / 9

F = 2.5 / 9

F = 25 / 90

Reducing the fraction into simplest form:

F = 5 / 18.

Therefore, we get that the fraction form of the number will be 5 / 18.

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The number of unique codes is 18.

What is permutation?

The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply said, a permutation is a term that refers to a variety of possible arrangements or orders. The arrangement's order is important when using permutations.

Here, we have

Given: the second character is forming

the first character can be 2 to 7

the second character can be A to C

We have to find how many ways unique codes are possibly formed from two characters.

The first character can be 2 to 7:

1st character can be 2 or 3 or 4 or 5 or 6 or 7.

Number of ways to select 1st character = 6

The second character can be A to C:

2nd  character can be A or B or c.

Number of ways to select 2nd character = 3

we required 2 character word

Number of ways to select both characters = 6×3 = 18

Hence, the number of unique codes is 18.

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The computation of the future value is $92,691.08

As we know that

Future value = Present value × (1 + interest rate)^number of years

where, the Present value is $24275

The Interest rate is 4.05%

And, the number of the year is 10 years

Now placing these values to the above formula;

So, the future value is;

Future value = Present value × (1 + interest rate)^number of years

= $24275× (1 + 0.0405)^10

= $24275× 1.448298166

= $92,691.08

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The number of pounds of strawberries sold and the number of pounds of grapes sold is 32 and 20 respectively.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given that the selling price of strawberries each pound = $2.50,

The selling price of grapes each pound = $2

The total earning = $160

Let x is the no of a pound of strawberries and y is the no of a pound of grapes sold, then equation will be,

x = y + 12 and 2.50x + 2y= 160

Solve the equation by substitution method;

x = 32 and  y = 20

Therefore, the number of pounds of strawberries sold is 32

the number of pounds of grapes sold is 20.

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The dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ration.

To determine the amounts of the 70% protein supplement and the 20% protein ratio needed to make a 1900-pound high-grade 55% protein ration, we can set up a system of equations.

Let's assume x represents the pounds of the 70% protein supplement and y represents the pounds of the 20% protein ratio.

The total weight equation is given by:

x + y = 1900

The protein content equation is given by:

(0.70x + 0.20y) / 1900 = 0.55

Simplifying the second equation, we get:

0.70x + 0.20y = 0.55 × 1900

0.70x + 0.20y = 1045

Now, we can solve this system of equations to find the values of x and y.

Rearrange the first equation to solve for x:

x = 1900 - y

Substitute this expression for x in the second equation:

0.70(1900 - y) + 0.20y = 1045

1330 - 0.70y + 0.20y = 1045

1330 - 0.50y = 1045

-0.50y = 1045 - 1330

-0.50y = -285

y = -285 / -0.50

y = 570

Now substitute this value of y back into the first equation to find x:

x + 570 = 1900

x = 1900 - 570

x = 1330

Therefore, the dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ratio.

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The given expression in the form of (a + ib) can be written as -

-2/3 + i(4/3).

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted [i], called the imaginary unit and satisfying the equation -

\({\displaystyle i^{2}=-1}\)

Every complex number can be expressed in the form a + bi, where [a] and [b] are real numbers

We have the following expression -

(4 - 2i)/3i

We have -

(4 - 2i)/3i

4/3i - 2i/3i

- 2/3 + i(4/3)

Therefore, the given expression in the form of (a + ib) can be written as -

-2/3 + i(4/3).

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Answer:

13.25

Step-by-step explanation:

1. you have to subract the cost of the drink:

94.25-1.50=92.75

2.you have to divide to get the individual cost of pizzas by doing

92.75÷7=13.25

so therefore your answer is 13.25 per pizza

The distance to second base is approximately 127.28 feet. Round to the nearest hundredth

Since the angle is 45 degrees, the other side of the right triangle are equal, hence we have two sides of 90 ft to be used to find the hypotenuse

Using Pythagoras theorem given by the  the formula

hypotenuse² = opposite² + adjacent²

plugging the values as in the problem

let x be the required distance

x² = 90² + 90²

x² = 16200

x = √16200

x = 90√2

x = 127.28 ft (to the nearest hundredth)

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Answer:

810.66 ft²

Step-by-step explanation:

Short answer:

Shaded region:

Answer: 810.66 ft²

I agree.

The calculated price per video game for store A is $1.79 per game

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

The price per video game for store A is calculated as

Price per video game = Total price/Number of games

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

Price per video game = 8.95/5

Evaluate the quotient

So, we have

Price per video game = 1.79

Hence, the price per video game for store A is $1.79 per game

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Answer:

if some does this than this would happen

Step-by-step explanation:

The correct answer is (C) \(\angle B \cong \angle C.\) when In the diagram below of circle O, chords AD and BC intersect at E.

What is a circle ?

A circle is a two-dimensional geometric shape that consists of all the points in a plane that are at a fixed distance from a given point, called the center.

In the given diagram, we have a circle O with chords AB, CD, AD, and BC. The chords AD and BC intersect at point E.

Based on the diagram, we can see that the opposite angles in the quadrilateral AEDC are supplementary (i.e., they add up to 180 degrees). Therefore, we have:

\(\angle A + \angle C = 180^\circ\)

Similarly, the opposite angles in the quadrilateral BEFC are supplementary. Thus,

\(\angle B + \angle C = 180^\circ\)

We can rewrite the second equation as:

\(\angle C = 180^\circ - \angle B\)

Substituting this value of \angle C into the first equation, we get:

\(\angle A + 180^\circ - \angle B = 180^\circ\)

Simplifying, we get:

\(\angle A = \angle B\)

Therefore, the correct answer is (C) \(\angle B \cong \angle C.\)

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Answer:

x =-16

Step-by-step explanation:

\(-2(2x + 5) - 3 = -3(x -1)\)

Expand

\(\mathrm{Expand\:}-2\left(2x+5\right)-3:\quad -4x-13\\\\\mathrm{Expand\:}-3\left(x-1\right):\quad -3x+3\\\\-4x-13=-3x+3\)

Collect like terms and simplify

\(-4x+3x =3+13\\-x =16\\\)

Divide both side by -1

\(\frac{-x}{-1}=\frac{16}{-1}\\\\x =-16\)

Answer: Two numbers have a sum of 1, 212 and a difference of 518. What are the two numbers? Let x represent one number and y represent the other number. The solution is (865,347).

Step-by-step explanation:

Answer:

https://www.omnicalculator.com/finance/compound-interest

Step-by-step explanation:

this is a link to a compound interest calculator and it helped me with similar problems hope it helps you

Answer:

The circumference of a circle is equal to the diameter multiplied by pi, which is approximately equal to 3.14. Therefore, the circumference of a circle with a diameter of 30 cm would be:

30 cm * 3.14 = 94.2 cm

So the circumference of the circle is approximately 94.2 cm.

Step-by-step explanation:

Answer:

= 94.2 cm

Step-by-step explanation:

Circumference = 3.14 * diameter

Circumference = 3.14 *30

Circumference = 94.2 cm

The required cost of a turkey sandwich and a chef salad is $2 and $2 respectively.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let the cost of a turkey sandwich and a chef salad be x and y respectively.
According to the question,
28x + 58y = 172  - - - - - - (1)
33x + 74y = 214 - - - - - (2)

Solving equations 1 and 2 by elimination method we get
x = $2 and y = $2.

Thus, the required cost of a turkey sandwich and a chef salad is $2 and $2 respectively.

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The result of the unknown variable x is equivalent to 7

Linear equations are equation that has a leading degree of 1. Given the expression below:

5(3x − 15) + 16 = 5x + 11

Expand the expression

5(3x) - 5(15) + 16 = 5x + 11

15x - 75 + 16 = 5x + 11

15x - 5x - 59 - 11 = 0

10x - 70 = 0

10x = 70

Divide both sides by 10

10x/10 = 70/10

x = 7

Hence the value of x makes the equation true is 7

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The theoretical probability of spinning red is given as follows:

1/3.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For the spinner in this problem, 2 out of 6 regions are red, hence the theoretical probability is given as follows:

2/6 = 1/3.

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Answer:

8 hours and 26 minutes

Step-by-step explanation:

To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.

First, we can divide 506 by 60 to find the number of hours:

506 ÷ 60 = 8 with a remainder of 26

This means that 506 minutes is equal to 8 hours and 26 minutes.

Therefore, the conversion of 506 minutes to hours and minutes is:

8 hours and 26 minutes

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Type of Fund___No of fund(a) __total return%(b)

Domestic Equity____9191________4.65

International Equity__2621_______18.15

Specialty Stock______1419______11.36

Hybrid____________2900______6.75

A) weighted average :

Σa.b /Σa = (9191 * 4.65) + (2621 * 18.15) + (1419 * 11.36) + (2900 * 6.75) / (9191 + 2612 + 1419 + 2900)

= 126004.14 / 16122

= 7.8156643

B) Using the number of funds as weight poses a difficulty as it considers the cost of funds rater than it's value. Hence, the higher the cost, the higher the return. Value of funds would have been a better weight parameter.

C) c. Suppose you had invested $10,000 in mutual funds at the beginning of 2007 and

diversified the investment by placing $2000 in Domestic Equity funds, $4000 in International Equity funds, $3000 in Specialty Stock funds, and $1000 in Hybrid

funds. What is the expected return on the portfolio?

Expected return = Σ (p)*(x)

= (2000*4.65) + (4000*18.15) + (3000*11.36) + (1000*6.75) = $122,730