the sum of 8 number is 80 then find their mean​

let's take a looksie at the polygon, hmmm it has 5 sides so it's Pentagon, ok, so

\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ S = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\[-0.5em] \hrulefill\\ n=5 \end{cases}\implies S=180(5-2)\implies S=540\)

\(\begin{cases} x=-5\implies &x+5=0\\ x=3\implies &x-3=0 \end{cases}\qquad \implies \underline{a(x+5)(x-3)~~ = ~~\stackrel{0}{y}} \\\\\\ \stackrel{\textit{we also know that}}{P(0)=-30}\implies \begin{cases} x=0\\ y=-30 \end{cases}\implies a(0+5)(0-3)~~ = ~~-30 \\\\\\ a(5)(-3)=-30\implies -15a=-30\implies a=\cfrac{-30}{-15}\implies \boxed{a=2} \\\\[-0.35em] ~\dotfill\\\\ 2(x+5)(x-3)=y\implies 2(\stackrel{F~O~I~L}{x^2+2x-15})=y\implies \underline{2x^2+4x-30=y}\)

Check the picture below.

Answer:hey h0éso

Step-by-step explanation:YOUR WELCOME lmk if it works

The height of the image can be found by multiplying the magnification by the height of the object.

We have,

To determine the height of the image produced by the concave mirror, we can use the mirror equation and the magnification formula.

The mirror equation is given by:

1/f = 1/do + 1/di,

where:

f is the focal length of the mirror,

do is the object distance (distance of the object from the mirror), and

di is the image distance (distance of the image from the mirror).

We are given:

f = 10.0 cm (focal length of the concave mirror),

do = 40.0 cm (distance of the object from the mirror), and

di = -16.0 cm (distance of the image from the mirror, negative because it's in front of the mirror).

Substituting these values into the mirror equation:

1/10.0 = 1/40.0 + 1/-16.0,

Simplifying the equation:

1/10.0 = (1/40.0) - (1/16.0),

1/10.0 = (16 - 40) / (40 * 16),

1/10.0 = -24 / 640,

1/10.0 = -0.0375.

The magnification formula is given by:

magnification = -di / do.

Substituting the values:

magnification = -(-16.0 cm) / 40.0 cm,

magnification = 0.4.

Thus,

The height of the image can be found by multiplying the magnification by the height of the object.

Since the height of the object is not given, we cannot determine the exact height of the image.

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Answer:

0.0636

Step-by-step explanation:

The probability the first die has twelve sides is 4/11.

The probability the second die has twelve sides is 3/10.

The probability the third die does not have twelve sides is 7/9.

The probability the fourth die does not have twelve sides is 6/8.

The probability of all four events is:

4/11 × 3/10 × 7/9 × 6/8 = 0.0636

Trevor and Kim will be situated 21 kilometers apart from each other at 1:30 PM. They will be separated by a distance of 21 km when the clock strikes 1:30 in the afternoon.

To determine at what time Trevor and Kim will be 21 km apart, we can set up a distance-time equation based on their relative speeds and distances.

Let's assume that t represents the time elapsed in hours since noon. At time t, Trevor would have traveled a distance of 8t km, while Kim would have traveled a distance of 6t km in the opposite direction.

Since they are running in opposite directions, the total distance between them is the sum of the distances they have traveled:

Total distance = 8t + 6t

We want to find the time when this total distance equals 21 km:

8t + 6t = 21

Combining like terms, we have:

14t = 21

To solve for t, we divide both sides of the equation by 14:

t = 21 / 14

Simplifying, we find:

t = 3 / 2

So, they will be 21 km apart after 3/2 hours, which is equivalent to 1 hour and 30 minutes.

Therefore, Trevor and Kim will be 21 km apart at 1:30 PM.

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Answer:

2:4 like in a basketball game 2/4 like a fraction 2:4 like a competitive thing

Step-by-step explanation:

Workout of the fastest person's total time is 2 minutes 34 seconds.

Time is a concept used to describe the sequence and duration of events or changes that occur in the universe. It is a measure of the interval between two events or occurrences, and it allows us to describe and understand the order and duration of events.

In physics, time is often described as a dimension, along with the three spatial dimensions, and is often measured in units such as seconds, minutes, or hours. Time is also relative, meaning that its perception and measurement can vary depending on factors such as motion and gravity.

Overall, time is a fundamental concept in many fields, including physics, philosophy, and everyday life, and its study and understanding are crucial to our understanding of the world around us.

According to the given information:

From the given table we can observe that Ben is the fastest

Total time =53.44 + 49.79+ 50.50

                = 153.73 seconds.

Hence, total time = 2 minutes 34 seconds

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Answer:

first one

Step-by-step explanation:

a number cant be repeated on the Y axis

Answer:

Table D

Step-by-step explanation:

The closest probability of getting less than 21% seniors in a random sample of size 100 is A. 0. 241.

The normal approximation to the binomial distribution can be used to find the probability.

First, find the mean :

= sample size x probability of success

= 100 x 0. 24

= 24

Then the standard deviation :

= √ ( 100 x 0. 24 x ( 1 - 0. 24 ))

= 4. 278

Using the standard normal distribution (Z) , we have:

Z = (X - μ) / σ

Z = ( 21 - 24 ) / 4.278

=  - 0. 702

From the Z - table, we have:

P ( Z < -0.702 ) = 0.2417

In conclusion, option A is correct.

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According to the information in the table, the histogram would be as shown in the attached image.

To graph the information in the table we must take into account the relationship of the data. On the one hand we have the frequency, which is the data that varies, and the different variations of time.

In accordance with the above, what we want to demonstrate with this table are the different frequencies of time that students take to do their math homework. Additionally, most students take between 10 and 25 minutes to do their math homework.

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Therefore, ∫2^0 x·f'(x) dx = 0.

Using the integration by parts formula ∫u dv = uv - ∫v du, we have

∫2^0 x·f'(x) dx = [-x·f(x)]_0^2 + ∫0^2 f(x) dx

Since f(0) = 1 and f(2) = 5, we can apply the mean value theorem for integrals to get a value c in (0,2) such that

∫0^2 f(x) dx = f(c)·(2-0) = 2f(c)

Also, we know that ∫2^0 f(x) dx = -∫0^2 f(x) dx = -2f(c).

Thus, we have

∫2^0 x·f'(x) dx = [-x·f(x)]_0^2 + ∫0^2 f(x) dx

= -2f(c) + 2f(c)

= 0

Therefore, ∫2^0 x·f'(x) dx = 0.

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When x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.

In the given question, we have to find what is remainder when x^3+2x^2+x+1 is divided by (x+1).

To find the remainder there are two ways. First we divide the x^3+2x^2+x+1 by (x+1). Second we find the value of from (x+1) by equating (x+1) equal to zero. The put the value of x in the expression x^3+2x^2+x+1.

In this we ca easily find the remainder.

Now we firstly find the value of x;

(x+1) = 0

Subtract 1 on both side we get;

x= −1

Now put x= -1 in the expression x^3+2x^2+x+1.

x^3+2x^2+x+1 = (−1)^3+2(−1)^2+(−1)+1

x^3+2x^2+x+1 = −1+2−1+1

x^3+2x^2+x+1 = 1

Hence, when x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.

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The right question is:

What is remainder when x^3+2x^2+x+1 is divided by (x+1)?

The type of square that has a movable head and can be used to lay out both 45° and 90° angles is called a combination square.

A combination square is a versatile measuring tool commonly used in woodworking, metalworking, and construction. It consists of a ruler or blade with a movable head that can be locked at different angles, typically 45° and 90°. The head of the square usually has a spirit level or bubble level attached to ensure accurate measurements and alignments.

The movable head allows the user to set and measure angles other than 45° and 90° as well, making it a versatile tool for various applications. The square is often used for marking and checking right angles, marking 45° angles, measuring and transferring distances, and checking the flatness or alignment of surfaces.

The combination square derives its name from the fact that it combines multiple functions in a single tool, making it convenient and efficient for tasks that require different angle measurements. It is a common and essential tool in many trades and professions where accurate and precise measurements are required.

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The value of a = -2 and b = 3.

What is a system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

Here, we have

Given: 3a - 5b = -26, a + 2b = 6

We have to solve this equation.

3a - 5b = -26...(1)

a + 2b = 6...(2)

Now we multiply equation (1) by 2 and equation (2) by 5 and we get

6a - 10b = -52....(3)

5a + 10b = 30....(4)

After solving equations (3) and (4), we get

11a = -22

a = -2

Now we put the value of 'a' in equation(3) and we get

6(-2) - 10b = -52

-10b = -52 + 12

-10b =  -30

b = 3

Hence, the value of a = -2 and b = 3.

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After making a $150 deposit in the bank in one year, two years, and three years, Homer will have a total of $689 in the bank in four years, considering the interest rate of 5.6%.

Let's break down the problem step by step. In one year, Homer makes a $150 deposit. After one year, his initial deposit will earn interest at a rate of 5.6%. Therefore, after one year, his account balance will be $150 + ($150 * 0.056) = $158.40.

After two years, Homer makes another $150 deposit. Now, his initial deposit and the first-year balance will both earn interest for the second year. So, after two years, his account balance will be $158.40 + ($158.40 * 0.056) + $150 = $322.46.

Similarly, after three years, Homer makes another $150 deposit. His account balance at the beginning of the third year will be $322.46 + ($322.46 * 0.056) + $150 = $494.62.

Finally, after four years, Homer's account balance will be $494.62 + ($494.62 * 0.056) = $689.35, which rounds down to $689. Therefore, Homer will have $689 in the b in four years, considering the interest rate of 5.6%.

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The answer is 360 miles

so you do

15 times 8 and that equals 120

so then you also o 120 times 3 and the answer is 360 :>

you are so welcome

First make the graph of the functions, then  if the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions.

Symmetric

A figure or shape that can be divided into two equal parts by a line is called symmetric figures.

Inverse Functions

The inverse function of a function f  is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective, and if it exists, is denoted by F^-1.

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(A) The distribution consists of two clusters and a gap, which best describes the distribution.

So, in the given situation the distribution consists of two clusters and a gap, which best describes the distribution.

Therefore, (A) the distribution consists of two clusters and a gap, which best describes the distribution.

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The complete question is given below:

The diameter, in centimeters (cm), of each tree in a random sample of trees in a forest was measured. The histogram shown summarizes the diameters.

Which of the following is the best description of the distribution?

A. The distribution consists of two clusters and a gap.

B. The distribution is approximately normal.

C. The distribution is symmetric with a skew to the right.

D. The distribution is skewed to the left.

E. The distribution is uniform.

\([Hello,BrainlyUser]\)

\(\left[Here\; your \;Answer\; below}\right]\)

Answer:

7

Step-by-step explanation:

Given;

Kyle has 13 notebooks (1 for each class) and he puts 5 stickers on each one

Solve;

If Kyle wants to put 5 stickers on each of his 13 classroom notebooks, then we simply multiply 5*13 to find out how many stickers he will use in total.

5 * 13 =65

Kyle used 65 stickers total.

Then, to find out how many sheets he used, we will simply divide the total amount of stickers (T) by the amount of stickers on a sheet (S).

T = 65

S = 10

65/10 = 6.5

Thus, He will need 7 sheets, but will only use 6 and a half sheets.

[CloudBreeze]

Answer:

24 = x + 6

Step-by-step explanation:

24 =  x + 6

we know that 76% of the specialty soaps are made with fresh herbs, and we also know that there are a total of 350 specialty soap bars, so how many are made with fresh herbs?  well, just 76% of those 350

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{76\% of 350}}{\left( \cfrac{76}{100} \right)350}\implies 266\)

The actual distance between the entrance and the historic building is 1.875 miles.

The proportion of a distance on a map to its actual distance on the ground is known as the map scale. It offers a means of converting measurements on a map to measures really present on the ground. One inch equals one mile, for example, or a graphical scale, which is a line or bar broken into segments that represent various distances on the map, are the two most common ways to communicate map sizes.

Given that, 1 cm = 0.25 miles.

Now, Distance on map = 7 1/2 = 7.5 cm

Actual distance = 7.5 cm * 0.25 miles/cm

Actual distance = 1.875 miles

Hence, the actual distance between the entrance and the historic building is 1.875 miles.

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Subsets 1 and 3 are subspaces, while subsets 2 and 4 are not.

To determine which subsets are subspaces, we need to check if they satisfy the three conditions of being a subspace:

closure under addition, closure under scalar multiplication, and containing the zero vector. Let's evaluate each subset:

  This subset is a subspace. It satisfies closure under addition, closure under scalar multiplication, and contains the zero vector (0, 0, 0). Therefore, it is a subspace of ℝ³.

  This subset is not a subspace. While it satisfies closure under addition, it fails to satisfy closure under scalar multiplication. If we multiply a polynomial with a non-zero term by zero, the result will not have a non-zero term. Therefore, it does not contain the zero vector, violating the subspace condition.

  This subset is a subspace. It satisfies closure under addition, closure under scalar multiplication, and contains the zero matrix [0, 0; 0, 0]. Hence, it is a subspace of the space of 2x2 matrices.

  This subset is not a subspace. It fails to satisfy closure under scalar multiplication.

If we scale a vector whose endpoint lies on the line y = 2x by a non-zero scalar, the endpoint will no longer lie on the line y = 2x.

Thus, it does not contain the zero vector, violating the subspace condition.

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Answer:

the answer is B.

Step-by-step explanation:

SOLUTION:

Case: Averages

Method:

Sample 1

Mean

Sample 2

Mean

Sample 3

Mean

b) Range of sample means:

R = 4.75 - 4.25

R = 0.5

c)

The following statements are valid:

i) The closer the range of the sample mean is to 0. The more confident they can be in their estimate

iii) The mean of the sample mean will tend to be a much better estimate than a single sample mean.

Final answers:

a)

SAMPLE 1. m = 4.25

SAMPLE 2. m = 4.75

SAMPLE 3. m = 4.75

b) Range = 0.5

c)

i) The closer the range of the sample mean is to 0. The more confident they can be in their estimate

iii) The mean of the sample mean will tend to be a much better estimate than a single sample mean.

We want to find the dimensions of the poster such that the area of the whole poster is minimized .These are: Length = 325.2cm and

Width = 17cm

We can assume that the poster is a rectangle, and we know that a rectangle of length L and width W has an area:

A = L*W

Here we do know that the top and bottom margins are 9 cm each.

The side margins are 6cm each.

Then the measures of the printed areas are:

W' = W - 2*6cm = W - 12cm

L' = L - 2*9cm = L - 18cm

And we know that the area of the printed part is 1536 cm^2, then we can write:

A'  = (W - 12cm)*( L - 18cm) = 864 cm^2

      W*L - 12cm*L - 18cm*W + 216cm^2 = 1536 cm^2

      W*L = 12cm*L + 18cm*W + 1320cm^2

And W*L is equal to the area, so what we need to minimize is:

A =  12cm*L + 18cm*W + 1320cm^2

Here we can see that the dependence of the area is larger on W than on L, so what we need to minimize is W.

We will take the smallest value of W such that the given margins are allowed.

That value would be such that:

W - 12cm > 0

W > 12cm

this could (and to be strict, should) be something like 16.0001cm, but let's use 17cm just to use whole numbers, we will get:

W = 17cm

Then to get the length we solve:

W*L = 12cm*L + 18cm*W + 1320cm^2

17cm*L = 12cm*L + 18cm*17cm + 1320cm^2

5cm*L = 1560cm^2

L = 325.2cm

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Answer:

Ans is y so find y by using formula for isoceles triangle that is 2 right triangles

Answer:

C. 244,596 gal

Step-by-step explanation:

To determine the number of gallons of water that a swimming pool holds, you can use the following formula:

gallons = cubic feet * 7.48

Plugging in the given volume of 32,700 cubic feet, you get:

gallons = 32,700 cubic feet * 7.48

= 244,596 gal

Therefore, the swimming pool holds approximately 244,596 gallons of water.