Complete the chart to find the mean, variance, and standard deviation. Remember to use commas and round numbers to the nearest tenth.

The equation of the line represented by the graph is y = -x/3 + 5.

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

(0,5)(6,3)

Based on the information provided, we can logically deduce the following data points on the line:

At point (0, 5), a linear equation of this line can be calculated in slope-intercept form as follows:

y - 5 = (3 - 5)/(6 - 0)(x - 0)

y = -2/6(x - 0) + 5

y = -x/3 + 5

Read more on slope here: brainly.com/question/3493733

#SPJ1

The cardinal number of the set , n ( D ) = 1 .

The natural numbers that are used to determine the cardinality of sets are extended into cardinal numbers . The shortened term "cardinals" is frequently used to describe cardinals. The number of objects contained within a finite set , known as the cardinality , is equal to a natural number .

The cardinal number here would therefore be the number of unique values which is only 1 and that 1 is eight .

Find out more on cardinal numbers at https://brainly.com/question/28243625

#SPJ1

Answer:

AA postulate

Step-by-step explanation:

We can prove as:
We have vertically opposite angles, which are equal
Also, we have been given two corresponding equal angles, thus we can prove using AA similarity postulate.

a) The number of zeros of the function is given as follows: 3.

b) The x-intercepts of the function are given as follows: x = -2, x = 3 and x = 4.

c) The y-intercept of the graph is given as follows: y = 24.

d) The end behavior of the function is given as follows: As x -> -∞, f(x) -> -∞, and as x -> ∞, f(x) -> ∞.

The function is of the third degree, as it has a higher exponent of 3, hence the number of zeros is of 3.

The x-intercepts are the values of x for which the graph of the function crosses the y-axis, hence they are given as follows:

x = -2, x = 3 and x = 4.

The y-intercept is the graph of y when the graph of the function crosses the y-axis, hence it is given as follows:

y = 24.

The end behavior is given as follows:

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

The reflected and then translated coordinates of the triangle are R'( 3,2), S'(3,5), and T'( 8, 5).

A sort of symmetry known as reflective symmetry occurs when one half of an object mirrors the other half. It also goes by the name "mirror symmetry."

For instance, both the left and right sides of a human face are typically the same. Most butterflies have identical wings on their left and right sides.

The given points of the triangle are R(3,-4), S(3,-7), and T(8,-7).

The reflected points of the triangle will be:-

R(3,-4) = R'( 3, 4)

S(3,-7) = R'(3,7)

T(8,-7) = R(8, 7)

The translated points by 2 units down will be:-

R'( 3, 4) = R''( 3, 2)

R'(3,7) = S''( 3, 5)

R(8, 7) = T''(8,5)

Therefore, the reflected and then translated coordinates of the triangle are R'( 3,2), S'(3,5), and T'( 8, 5).

To know more about translation follow

https://brainly.com/question/1574635

#SPJ1

Answer:

so the other guy can get brainlyest

Step-by-step explanation:

pls like and rate

Answer:

the dividers of 25 are: 1, 5, and 25.

the dividers of 120 are:  1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120.

the dividers of 71 are: 1, 71.

The dividers of 24 are:  1, 2, 3, 4, 6, 8, 12, and 24.

Step-by-step explanation:

The solution is the length of the drain line is 20 ft.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

You pace off the length as being 24 strides long.

we know, 1 strides = 2.5 feet

i,e, we have, 60 ft.

now,

You know from prior experience that each of your strides is of a yard.

again, 1 yard = 3 ft.

so,  the length of the drain line = 60/3

                                                    = 20 ft.

Hence, The solution is the length of the drain line is 20 ft.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ1

The correct solution to the arithmetic expression (2 8)/2*9/3 using the order of operations as employed by Oracle 12c when solving equations is 4.

According to the Order of Operations, the first step is to evaluate expressions inside parentheses, then perform any multiplications or divisions, and finally perform any additions or subtractions. In this expression, the first step would be to evaluate the expression inside the parentheses: (28)/2. This evaluates to 14.

Next, the expression becomes 14 * 9/3. According to the Order of Operations, we need to perform the multiplication first, so 14 * 9 = 126. Finally, we perform the division: 126/3 = 42.

So, the correct solution to the expression (2 8)/2 * 9/3 is 42.

Order of operations is a set of rules used to determine the sequence in which arithmetic operations should be performed in a mathematical expression to obtain the correct result. The rules ensure that operations are performed in a consistent and predictable manner.

The order of operations is typically represented by the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Learn more about order of operations here:

https://brainly.com/question/27529825

#SPJ4

Answer:

Hi my dream princess

A regular polygon with an interior angle of 172° has the following characteristics:

Exterior angle: 360° / number of sides - interior angle.

Number of sides: 360° / exterior angle.

Using this information, we can find the exterior angle and the number of sides:

Exterior angle: 360° / number of sides - 172°.

Number of sides: 360° / (360° / number of sides - 172°).

Solving for the number of sides, we have:

Number of sides: 360° / (360° / number of sides - 172°)

= 360° / (360° / number of sides) - 172° / (360° / number of sides)

= number of sides - 172° / (360° / number of sides)

= number of sides (1 - 172° / 360°)

= number of sides * 188° / 360°.

Since we have a fraction involving a fraction, we can simplify:

Number of sides = number of sides * 188° / 360°

= number of sides * 47° / 90°

= number of sides * 47 / 90.

Since 47 and 90 are both divisible by 47, we can simplify further:

Number of sides = number of sides * 47 / 90

= number of sides * 1 / 2.

Therefore, the regular polygon has 2 sides and each exterior angle is 180°. The polygon is an isosceles triangle.

(a) A reasonable guideline for ensuring that the sample size is small enough to give credible findings is to confirm that the sample size is less than 10% of the population size.

(b) The confidence interval may not correctly reflect the genuine population proportion, resulting in incorrect inferences and actions based on the findings.

(a)

This condition must be checked since the sample size must be much less than the population size to ensure that the sample is representative of the population. A high sample size may not fully represent the population, resulting in biased results.

(b)

If the sample size exceeds 10% of the population size, the "10% criterion" is violated. When this requirement is broken, the capture rate may rise, but the accuracy of the confidence interval may fall. As a result, the confidence interval may grow broader and less reliable in capturing the genuine population percentage.

For more questions on Confidence Level

https://brainly.com/question/15712887

#SPJ4

The domain of the given function is x≤-2

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given here: The function f(x)=-√(√-4x)²

Simplifying the expression we get

f(x)=-√(√-4x)²

f(x)= -√-4x

   Case 1) If the domain of x is greater than 2 then we have

f(3)=-√-12 which is a complex number and thus is not possible.

Case2 id x≤-2

then we have

f(-2)=-√8 which is not complex

Thus the feasible domain of the function is given by x≤-2

Learn more about functions here:

https://brainly.com/question/28303908

#SPJ1

The required line representing the equation part of the constraint is go through (0, 4) and (7,0).

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

The line representing the equation 7x1 + 4x2 = 28 is a boundary line that separates the feasible solutions from the infeasible solutions in a linear programming problem.

The line passes through two points, which can be determined by substituting the x1 and x2 values into the equation. By substituting the values (4,0) and (7,0) into the equation, we can see that both points satisfy the constraint.

This means that any point on the line also satisfies the constraint, and any point above or to the right of the line would be infeasible as they would not meet the requirement of the constraint.

Understanding the position and shape of the constraint lines is important in solving linear programming problems and finding the optimal solution.

To know more about equation visit:

brainly.com/question/649785

#SPJ4

The true inequalities are:

B) 3/5 > 3/10

D) 5/6 > 2/5

E) 5/10 > 2/5

Here we want to see which ones of the given inequalities are true.

Remember that an inequality:

A > B

Is true if the value of A is larger than the one of B.

From the given inequalities, the true ones are:

B) 3/5 > 3/10

That is true because the denominator is smaller on the left side.

D) 5/6 > 2/5

We can rewrite these fractions at:

25/30 > 10/25

E) 5/10 > 2/5

   2.5/5 > 2/5

This is also true.

Laern more about inequalities at:

https://brainly.com/question/24372553

#SPJ1

Answer: $22.50

Step-by-step explanation

In this case, x is what the original number was in case you didn’t know.

x - (x * 20/100) = 18

x -0.2x=18

0.8x=18

18/0.8=x

X = 22.5

Answer: 200                                            

Becase 80% of 1000 is 800 and 1000- 800 =200

The cost when the two options are the same is equal to $60.

Based on the information provided above, Rhianna's Tees charges a $20 setup fee and then to buy the shirts for $8 each. The total cost, y, can be represented by this equation:

y = 8x + 20    ....equation 1.

where:

x represents the number of shirts.

For the second option, the total cost of the shirt can be represented by this equation:

y = 6x + 30        ....equation 2.

By equating equation 1 and equation 2, we have the following:

8x + 20 = 6x + 30

8x - 6x = 30 - 20

2x = 10

x = 5

Now, we can determine the cost as follows;

y = 8x + 20

y = 8(5) + 20

y = 40 + 20

y = $60.

Read more on equation here: brainly.com/question/18912929

#SPJ1

The standard deviation of a data set provides information about the spread or dispersion of the data around the mean.

It helps to determine the percentage of normal distribution in the data. If the standard deviation is small, it indicates that the data is tightly clustered around the mean and a high percentage of the data falls within a few standard deviations of the mean. On the other hand, if the standard deviation is large, it suggests that the data is more spread out and a smaller percentage of the data falls within a few standard deviations of the mean.

In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations. So, the standard deviation provides insight into the proportion of data points that are close to the mean, and therefore, the shape of the distribution.

Learn more about Standard Deviation here:

https://brainly.com/question/475676

#SPJ4

The conjecture that describes the pattern in each sequence is *10, the next item in the sequence. 1, 10, 100, 1000 is 10000.

Suppose the initial term of a geometric sequence is a

and the term by which we multiply the previous term to get the next term is r

Then the sequence would look like

[tex]a, ar, ar^2, ar^3, \cdots[/tex]

 (till the terms to which it is defined)

Thus, the nth term of such sequence would be  T_n = ar^{n-1} (you can easily predict this formula, as for nth term, the multiple r would've multiplied with initial terms n-1 times).

Given;

The following sequence that can be used in our computation:

1,10,100,1000

In the above sequence, we can see that 4 is added to the previous term to get the current term

Using the above as a guide,

Next term = 1000*10

Evaluate

Next term = 10000

Therefore, the next term of sequence will be 10000.

Read more about sequence at;

brainly.com/question/7882626

#SPJ1

The scale factor is 1.4

the value of x is 4.2

the value of y is 130

The scale factor is calculated by checking the proportions of the sides

Let the scale factor be k

10k = 14

k = 14/10

k = 1.4

solving for x

15 * k = 5x

15 * 1.4 = 5x

5x = 21

x = 21 / 5

x = 4.2

solving for y

y + 50 = 180

y = 180 - 50

y = 130

Learn more about quadrilateral at:

https://brainly.com/question/27991573

#SPJ1

Answer:

Below

Step-by-step explanation:

Rank in order of SHORTEST time to LONGEST time ....

  shorter times mean the runner was faster to the finish line.

Answer:

likely

Step-by-step explanation:

The value of 15% does not represent the probability of randomly selecting a terrier from the shelter. Probability is a measure of the likelihood that a certain event will occur, and 15% does not provide enough information to calculate a probability.

Answer:4

Step-by-step explanation: answer 4

The total surface area of the square pyramid  is; 336 ft²

To find the total surface area of the square pyramid, we will first of all calculate the areas of the individual shapes into which it is broken down and then add up to get the total surface area.

Area of a triangle is given by the formula;

A = ¹/₂ * base * height

Thus, area of 4 triangles here is;

A = 4(¹/₂ * 12 * 8)

A = 192 ft²

Area of square = 12 * 12

= 144 ft²

Thus;

Total surface area of square pyramid = 192 + 144

= 336 ft²

Read more about Square pyramid at; https://brainly.com/question/22744289

#SPJ1

Answer:

The penguins swan 2 2/5 miles in one hour

Step-by-step explanation:

The amount of tip will be $6.36. And the total amount of the restaurant bill with the tip will be $48.76.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

One way to compute a 15% tip for a bill is to multiply it by 0.15. A restaurant bill was $42.40.

Then the amount of tip is given as,

Tip amount = $42.40 x 0.15

Tip amount = $6.36

The total amount is given as,

Total amount = $42.40 + $6.36

Total amount = $48.76

The amount of tip will be $6.36. And the total amount of the restaurant bill with the tip will be $48.76.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ1

The area of triangle cde with altitude ef is 8 square units. This is calculated by finding the height from point "e" to "f", and the base from point "c" to "d", and then using the formula: Area = (base * height) / 2. The answer is 8 square units.

The area of a triangle can be calculated using the formula:

Area = (Base x Height) / 2

To find the height, we need to find the distance between the point where the altitude intersects the base (in this case, point "f" on the y-coordinate of point "e"), and the other two points of the triangle (in this case, "c" and "d").

The equation for a line in the form y = mx + b can be used to find the y-coordinate of point "f". Using the coordinates of points "c" and "e", the slope can be found by:

m = (3 - (-2)) / (2 - 3) = -1

The y-intercept can be found using the coordinates of point "c" and the slope:

b = -2 - (3 * -1) = 1

So the equation of the line that passes through points "c" and "e" is:

y = -x + 1

We can now use this equation to find the y-coordinate of point "f":

y = -x + 1

y = -0 + 1

y = 1

The height of the triangle is now the distance between points "e" and "f":

height = |3 - 1| = 2

The base of the triangle can be found by taking the distance between points "c" and "d":

base = |(-1) - (3)| = 4

So the area of the triangle is:

Area = (base * height) / 2

Area = (4 * 2) / 2

Area = 8

The area of the triangle is 8 square units.

To learn more about triangle CDE please click on below link.

https://brainly.com/question/28351296

#SPJ4

There are a total (4) 2⁸ = 256 possible methods to join 8 bits or 8 binary digits.

A binary code uses a two-symbol system to represent text, computer processor instructions, or any other data.

The binary number system's "0" and "1" are frequently employed as the two symbols in this system.

Each character, command, etc. is given a set of binary digits, often referred to as bits, by the binary code.

A binary string of eight bits (also known as a byte) can, for instance, represent any of 256 possible values and hence a vast range of distinct things.

8 bits, or 8 binary digits, can be combined in 2⁸=256 different ways.

Some of these combinations are shown in the following table.

(The number in parentheses is the equivalent in decimal form.)

Therefore, there are a total (4) 2⁸ = 256 possible methods to join 8 bits or 8 binary digits.

Know more about binary code here:

https://brainly.com/question/16612919

#SPJ4

The number of associates assigned to the case and the number of partners assigned to the case is 6 and 4.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

Given that,

The daily rate charged to the client for each associate is $600 and the daily rate for each partner is $1100.

The law firm assigned a total of 10 lawyers to the case and was able to charge the client $8000 per day for these lawyers' services.

Here we assume number of associate be x and no of partners be y.

Based on the above information, the calculation is as follows:

x +  y = 10

x = 10 - y

Now put the value of x in the below equation

600x + 1100y = 8,000

600 (10 - y) + 1100y = 8000

6000 - 600y  + 1100y = 8000

2000 = 500y

y = 4

So x = 10 - 4

= 6

Hence, The number of associates assigned to the case and the number of partners assigned to the case is 6 and 4.

Learn more:

brainly.com/question/17429689

#SPJ1

The length and the width of the rectangle are 8. 5 inches and 21 inches

It is important to note the the formula for the perimeter of a rectangle is expressed as;

P = 2(L + W)

Given that;

We have that;

P = 76 Inches

L = l

W = 2(l + 2)

Substitute the values

76 = 2( l + 2l + 4)

collect like terms

76 = 2(4l + 4)

expand the bracket

76 = 8l + 8

collect like terms

8l = 68

l = 8. 5 inches

Width, w = 21 inches

Hence, the values are 21 inches and 8. 5 inches

Learn about rectangles on:

https://brainly.com/question/25292087

#SPJ1

The length and width of the rectangle are 12inches and 26 inches

The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides.

Represent the length of the rectangle by x and width by y

y = 2(x+1)

P = 2(l+w)

Represent 2(x+1) for y

P= 2(x + 2( x+1) )

P= 2( x+ 2x +2)

P = 2(3x+2)

P =6x +4

76 = 6x +4

6x = 76 - 4

6x = 72

divide both sides by 6

x = 72/6

x = 12

y = 2( 12+1)

y = 2× 13

y = 26 inches

therefore the length of the rectangle is 12inches and the width is 26inches

learn more about perimeter of a rectangle from

https://brainly.com/question/19819849

#SPJ1

Answer:

1) Iteration is similar to using a recursive formula because you use the output from the previous calculation as the input to find the next answer.

Iteration is similar to using a recursive formula because you use the output from the previous calculation as the input to find the next answer. The correct option is A.

The process of defining a problem or the solution to a problem in terms of a simpler version of itself is known as recursion. There are two kinds of recursion. The first is direct recursion, and the second is indirect recursion.

As a result, recursion is a method of problem-solving in which the solution is dependent on solutions to smaller instances of the same problem.

Therefore, the correct option is A, which is Iteration is similar to using a recursive formula because you use the output from the previous calculation as the input to find the next answer.

Learn more about recursion here:

brainly.com/question/25741060

#SPJ1