Which of the following expressions is a polynomial?

For a set of data, the average squared deviation from the mean, with a denominator of n-1 is called the: Sample Variance.

Answer: Sample Variance

For a set of data, the average squared deviation from the mean, with a denominator of n-1 is called the sample variance.

Sample variance can be defined as the expectation of the squared difference of data points from the mean of the data set. It is an absolute measure of dispersion and is used to check the deviation of data points with respect to the data's average.

Suppose a data set is given as 3, 21, 98, 17, and 9. The mean (29.6) of the data set is determined. The mean is subtracted from each data point and the summation of the square of the resulting values is taken. This gives 6043.2. To get the sample variance, this number is divided by one less than the total number of observations. Thus, the sample variance is 1510.8.

Sample variance is used to measure the spread of the data points in a given data set around the mean. All observations of a group are known as the population. When the number of observations start increasing it becomes difficult to calculate the variance of the population. In such a situation, a certain number of observations are picked out that can be used to describe the entire group. This specific set of observations form a sample and the variance so calculated is the sample variance.

[tex]S^{2}= \frac{\sum_{i=1}^{n}(x_{i}-\mu )^{2} }{n-1}[/tex]

Hence, For a set of data, the average squared deviation from the mean, with a denominator of n-1 is called the sample variance.

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Answer:

[tex]\large\boxed{x+6}[/tex]

Step-by-step explanation:

[tex]x = 12\to y=12+6=18\\x=13\to y=13+6=19\\x=14\to y=14+6=20\\x=15\to y=15+6=21\\\vdots\\x\to y=x+6[/tex]

The linear function represented in the table is given by:

[tex]y = x + 6[/tex]

A linear function has the following format:

[tex]y = mx + b[/tex]

In which:

From the table, two of the points (x,y) are (12,18) and (13,19).

The slope is given by change in y divided by change in x, thus:

[tex]m = \frac{19 - 18}{13 - 12} = 1[/tex]

Then

[tex]y = x + b[/tex]

Point (12,18) means that when [tex]x = 12, y = 18[/tex], and this is used to find b.

[tex]y = x + b[/tex]

[tex]18 = 12 + b[/tex]

[tex]b = 6[/tex]

Thus, the equation is:

[tex]y = x + 6[/tex]

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Answer:

B

Step-by-step explanation:

The formula for volume of cylinder is given below:

volume of cylinder = [tex]\pi r^2 h[/tex]

Where r is the radius (here, it is given as 3)

h is the height, the perpendicular distance from base to top (here, it is 4 NOT 5 since 5 is the 'slant height')

Plugging in the available info , we get our answer:

[tex]\pi r^2 h\\=\pi (3)^2 (4)\\=36\pi[/tex]

B is the correct answer

Answer:

B) Volume of cylinder is  [tex]36 \pi[/tex] units³.

Step-by-step explanation:

Given : Cylinder.

To find : what is the volume of the cylinder below.

Solution : We have given cylinder with radius = 3 units.

Height = 4 units .

Volume of cylinder = [tex]\pi * radius^{2} * height.[/tex]

Plug the values

Volume of cylinder = [tex]\pi * (3)^{2} * 4[/tex].

Volume of cylinder = [tex]\pi* 9 * 4[/tex].

Volume of cylinder = [tex]\pi 36[/tex] units³.

Volume of cylinder is  [tex]36 \pi[/tex] units³.

Therefore, B) Volume of cylinder is  [tex]36 \pi[/tex] units³.

Answer:

[tex]64.98\°[/tex]

Step-by-step explanation:

we know that

In the right triangle of the figure

[tex]tan(A)=\frac{BC}{AB}[/tex] ---> opposite side to angle A divided by the adjacent side to angle A

substitute the values

[tex]tan(A)=\frac{15}{7}[/tex]

[tex]A=arctan(\frac{15}{7})=64.98\°[/tex]

Both Laura and Rob are correct in finding the decimal equivalent of a fraction.

A fraction is a mathematical expression representing a part of a whole. It consists of a numerator (top number) indicating the part being considered and a denominator (bottom number) representing the total number of equal parts. Fractions are used for division, ratios, and comparisons in mathematics.

To find the decimal equivalent of a fraction, you can use either method mentioned by Laura or Rob. Laura's method involves writing an equivalent fraction with 100 as the denominator and then dividing the numerator by the denominator. For example, 39/50 can be written as 78/100, which is equal to 0.78 as a decimal. Rob's method involves dividing the numerator (39) by the denominator (50) directly, which also gives you the decimal value of 0.78.

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Answer:

10 sides, 114, for each interior angle, and 36 for each exterior angle.

Step-by-step explanation:

Since the sum of all exterior angle is 360 multiply by 4 which gets you 1140. Then we know that there are 8 sides to an octagon to find the sum of all the interior angles we can multiply the number of sides minus 2 by 180. Now knowing this we can do this for an octagon which gives us 1080. Since that is close to 1140 we can play around with the numbers and we will eventually go with the number 10 we minus this by 2 and multiply by 180 to get 1140. To find the measurement of 1 interior angle we would divide that number by the sides, so 1140 by 10 to get 114 for our 1 interior measurement. to get the 1 exterior measurement we would divide 360 by the number of sides which gives us 36 since the sum of all exterior measurements equals 360. I hope this helps.  

The polygon in question is an octagon, with eight sides. Each exterior angle measures 45° and each interior angle measures 135°. The calculation is based on the relationship between the sum of the interior and exterior angles of a polygon.

The question involves finding the number of sides of a polygon where the sum of all the interior angles is four times the sum of its exterior angles, and then calculating the measures of each exterior and interior angle. First, it is essential to note two key facts: the sum of exterior angles of any polygon is always 360°, and the formula for the sum of interior angles of a polygon is (n-2) × 180°, where 'n' is the number of sides of the polygon.

Given that the sum of the interior angles is four times the sum of the exterior angles, we can write the equation (n-2) × 180 = 4 × 360. Simplifying this equation will give us n = 8, indicating the polygon is an octagon. Each exterior angle of an octagon is equal to 360/n, which results in each exterior angle measuring 45°. Since interior and exterior angles are supplementary, each interior angle measures 135° (180° - 45°).

Answer:

6monedas de 4y26 m onedas de10

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use FOIL: (a + b)(c + d) = ac + ad + bc + bd

(4 - 8i)(2 - 7i)

= (4)(2) + (4)(-7i) + (-8i)(2) + (-8i)(-7i)

= 8 - 28i - 16i + 56i²

combine like terms

= 8 + (-28i - 16i) + 56i²

= 8 - 44i + 56i²

Answer:

B.  7√10.

Step-by-step explanation:

√40 = √4√10 = 2√10

√90 = √9√10 = 3√10

So √40 + 2√10 + √90

=  2√10 + 2√10 + 3√10

= 7 √10.

ANSWER

B. 7√10

EXPLANATION

The given radical expression is:

[tex] \sqrt{40} + 2 \sqrt{10} + \sqrt{90} [/tex]

We need to remove the perfect square from the first and third term.

[tex]\sqrt{4 \times 10} + 2 \sqrt{10} + \sqrt{9 \times 10} [/tex]

We now share the radical sign to get;

[tex] \sqrt{4} \times \sqrt{10} + 2 \sqrt{10} + \sqrt{9} \times \sqrt{10} [/tex]

Simplify to get;

[tex]2\sqrt{10} + 2 \sqrt{10} + 3 \sqrt{10} [/tex]

This simplifies to

[tex]7 \sqrt{10} [/tex]

Answer:B

Step-by-step explanation: i think it is the only one observing something tell me if i am wrong though

APR = 21.6% = 0.216

The APR is the annual periodic rate

The monthly periodic rate is the annual periodic rate divided by 12, because there are 12 months in a year

Monthly periodic rate = APR / Number if months in a year

= 21.6% / 12

= 1.8%

The APR on Leslie's credit card is currently 21.6%. The monthly periodic rate will be 1.8%.

The full name of APR is the annual percentage rate. It is defined as the percentage rate applied on borrowing money in the form of interest but APR is applied annually.

It is given that, the APR on Leslie's credit card is currently 21.6%.

APR = 21.6% = 0.216

Since there are 12 months in a year, the annual periodic rate is divided by 12 to determine the monthly periodic rate.

Monthly periodic rate = APR / Number of months in a year

= 21.6% / 12

= 1.8%

Thus, the APR on Leslie's credit card is currently 21.6%. The monthly periodic rate will be 1.8%.

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Final answer:

The degree of the term [tex]4xy^2z[/tex] is 4, calculated by summing up the exponents of all variables in the term.

Explanation:

The degree of a monomial like [tex]4xy^2z[/tex] is found by adding up the exponents of all the variables in the term. In this case, the exponent of x is 1, the exponent of y is 2, and the exponent of z is 1. Therefore, the degree of [tex]4xy^2z[/tex] is 1+2+1 = 4.

The degree of a polynomial is an important concept in algebra that tells you the highest degree of any term in the polynomial. For this reason, understanding how to calculate the degree of individual terms like 4xy^2z is crucial for working with polynomials. Remember, coefficients, like the number 4 in this expression, do not affect the degree of the term.

The degree of the term [tex]\(4xy^2z\)[/tex] is 4.

To find the degree of the term [tex]\(4xy^2z\)[/tex], we add up the exponents of all the variables present in the term.

In the term [tex]\(4xy^2z\)[/tex], we have:

- (x) with an exponent of 1,

- (y) with an exponent of 2,

- (z) with an exponent of 1.

Adding up the exponents:

[tex]\[1 + 2 + 1 = 4\][/tex]

So, the degree of the term [tex]\(4xy^2z\)[/tex] is 4.

For this case we have that the volume of the rectangular prism is given by:

[tex]V = A_ {b} * h[/tex]

Where:

[tex]A_ {b}:[/tex] It is the area of the base

h: It's the height

We have that the base is a triangle, so, the area of the base is the area of the triangle:

[tex]A_ {b} = \frac {9 * 4} {2} = 18 \ units ^ 2[/tex]

The height of the prism is 18 units.

So, the volume is:

[tex]V = 18 * 18 = 324 \ units ^ 3[/tex]

ANswer:

[tex]324 \ units ^ 3[/tex]

Option C

The volume of the triangular prism is 324 cubic feet (option c).

To calculate the volume of a triangular prism, you can use the formula:

Volume = (1/2) * base * height * length

In your case:

Base (b) = 9 ft

Height (h) = 4 ft

Length (H) = 18 ft

Now, plug these values into the formula:

Volume = (1/2) * 9 ft * 4 ft * 18 ft

First, multiply the numbers:

Volume = (1/2) * 9 * 4 * 18

Now, perform the multiplications step by step:

Volume = (1/2) * 36 * 18

Volume = 18 * 18

Volume = 324 cubic feet

So, the volume of the triangular prism is 324 cubic feet.

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Answer:

The answer is C. m<1=60 degrees  m<2=30 degrees and m<3 equals 60 degrees

Step-by-step explanation: So, if 1 was 60 degrees then half of it is 30 degrees which is the angle for two. Them 3 is the same degree as 1.

Answer:

The banner is 10 2/3 ft long

Step-by-step explanation:

1 1/3 = 4/3 times the width of the banner:

4/3 * 8 feet wide = 4/3 * 8 = 32/3 = 10 2/3 feet long

The banner is 10 2/3 feet long. :)

The question is asking for the length of a banner, given that the length is 1 1/3 times the width, which is 8 feet. By multiplying 8 feet by 1 1/3, we find that the length of the banner is 10.67 feet.

The question is asking for the length of a banner where the length is 1 1/3 times the width, and the width is given as 8 feet. To find the length of the banner, we need to multiply the width of the banner (8 feet) by 1 1/3, which yields 10.67 feet. Therefore, the length of the banner is 10.67 feet.

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Answer:

$1.68

Step-by-step explanation:

2.40 x .70 =1.68

Answer:

Iready Answer:  d=0.7 x $2.40

Step-by-step explanation:

Answer:

x=12

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4−x=−8

4+−x=−8

−x+4=−8

Step 2: Subtract 4 from both sides.

−x+4−4=−8−4

−x=−12

Step 3: Divide both sides by -1.

−x /−1 = −12 /−1

x=12

Well, we should first make it so that 4 and 8 are on one side of the equal sign and x is on the other.

  4-x=-8

+x    +x

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

  4= -8+x

Then, we do the same thing for the 8

 4= -8 +x

+8    +8

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

12=x

Therefore, x=12

Answer:

D

Step-by-step explanation:

Use the distance formula to find all of the sides.

Then add them together

Answer: [tex]D.\ 4\sqrt{a^2+b^2}[/tex]

Step-by-step explanation:

From the given picture, it can be seen that the given polygon is dividede into four right triangles of same measurement.

Consider triangle in the first quadrant, then the base of triangle = |a-0|=a

Height of triangle = |b-0|=b

Let p be the side of the polygon which is also the hypotenuse of the given triangle.

Apply Pythagoras theorem in right triangle, we get

[tex]p=\sqrt{a^2+b^2}[/tex]

Since all the triangles are congruent, then the perimeter of the polygon is given by :-

[tex]4p=4\sqrt{a^2+b^2}[/tex]

Answer: the answers are A. D. E. and F.

Step-by-step explanation:In mathematics, a binary operation is commutative if changing the order of the operands does not change the result. It is a fundamental property of many binary operations, and many mathematical proofs depend on it.

Hope this helps. Please name me brainliest.

Answer:

It's actually A, D, E...I just got the answer wrong on algebra nation

Answer:

Mean: 5.6428571428571

Median: 5

Step-by-step explanation:

The mean is 5.64 and the median is 5 for the given data. This can be obtained by using formula for mean and median.

For finding mean and median the data should be in ascending order,

Mean = sum of observations / total number of observations

When 'n' is odd, Median = [tex](\frac{n+1}{2})^{th}term[/tex]

When 'n' is even, Median =  [tex]\frac{(\frac{n}{2})^{th} term +(\frac{n}{2}+1)^{th} term }{2}[/tex]  , where n is the number of observations.

First write the data in ascending order,

2,2,3,4,4,5,5,5,6,6,7,9,10,11

Mean = [tex]\frac{2+2+3+4+4+5+5+5+6+6+7+9+10+11}{14}[/tex] =79/14 = 5.64

Median=(5 + 5 )/2 = 5

Hence the mean is 5.64 and the median is 5 for the given data.

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Answer:

b. 10

Step-by-step explanation:

The triangles are all similar, so you have ...

hypotenuse/short side = x/4 = 25/x

Cross multiplying gives ...

x^2 = 100

x = 10 . . . . . . . take the square root

Answer:

The answer is b) 10

Step-by-step explanation:

We have to use the theorem of the cathetus or  leg rule,  that says "Each leg of the right triangle is the mean proportional between the hypotenuse and the part (projection) of the hypotenuse directly below the leg"

hypotenuse/leg =leg/part or b²= m*a

In this case,  

hypotenuse= m

leg=x

part= 4

So,  

x= √((21+4)*4)

x= √((25)*4)

x= √100

x= 10

Answer:

[tex]12+2g[/tex]

Step-by-step explanation:

Let the variable g represents Gail's savings.

Then twice Gail's savings will be 2g.

The sum of 12 and twice Gail's savings is

[tex]12+2g.[/tex]

Hence, the algebraic expression that translate the phrase "The sum of 12 and twice Gail's savings" is [tex]12+2g.[/tex]

Answer:

5 ÷ 4 = 1.25

So each person would get 1.25 kilograms of coffee.

Hope it helps!

Step-by-step explanation:

the answer is b

Answer:

5÷4= 1.25

So I'm assuming that it's "Between 1 and 5"...

Answer:

The domain for f(x) is all real numbers greater than or equal to 3.

Step-by-step explanation:

[tex]f(x)= \frac{3}{x+2} - \sqrt{x-3}[/tex]

To solve the above equation, the value of x should be greater than or equal to 3, as we have the term [tex]\sqrt{x-3}[/tex] and if value is less than 3, the term inside the square root will be negative and we cannot find the square root of negative numbers.

So, The domain for f(x) is all real numbers greater than or equal to 3.

Answer:

"greater"

Step-by-step explanation:

The domain is the set of x values for which a function is defined.

When we have a square root is a function, we need to remember that square root can't be negative. Thus, anything under the root would need to be GREATER THAN or EQUAL to 0.

Thus

x - 3 ≥ 0

x ≥ 3

This is the constraint.

Thus

the _____ would be "greater"

0 divided by 8 is the answer

The expression which is undefined is:

                               8÷0

Undefined expression--

It is a expression which is meaningless.

In real numbers if we divide a non-zero number by 0 then the expressions becomes meaningless.

1)

-8÷(-8)

On dividing the non-zero number by the number itself we get the resultant as 1.

i.e.

-8÷(-8)=1

2)

-8÷8

On dividing a number by the negative of same number we get the resultant as: -1

3)

0÷8

On dividing zero by any non-zero number we get the resulting value as 0.

i.e.

0÷8=0

4)

8÷0

Here in the denominator we have the number as zero.

Hence, the expression is undefined.

Answer: I don't what your're asking but I guess it's 37 and 39.

Step-by-step explanation:

37- 38-39

Answer:

Each property with the appropriate example is given below.

1. c.Transitive property

If 3 + 4 = 7 and 6 + 1 = 7, then 3 + 4 = 6 + 1

2. a.Distributive property

2x + 6 = 2(x + 3)

3. d.Commutative property

7 * 3 = 3 * 7

4. e.Multiplicative inverse property

½ * 2 = 1

5. b.Associative property

(x + y) + z = x + (y + z)

Answer:

Option C is correct.

Step-by-step explanation:

We need to find the values of a and b.

We are given:

[tex]8y^2-12y + 4 \,\,by\,\, 4y\\8y^2-12y +4/4y\\8y^2/4y -12y/4y +4/4y = a+b+1/y\\2y -3+1/y = a+b+1/y[/tex]

From the equation [tex]2y -3+1/y = a+b+1/y[/tex] we can find value of a and b

a = 2y and b= -3

So, Option C is correct.

Answer:

  {-1, 0, 1}

Step-by-step explanation:

If your function is f(x) = 1/2x -2, then the range is found by executing the function on each of the domain values:

  f(2) = 2/2 -2 = -1

  f(4) = 4/2 -2 = 0

  f(6) = 6/2 -2 = 1

The range is {-1, 0, 1}.

Answer:

Amanda = 22

Alisa = 26

Step-by-step explanation:

Amanda : Alisa = 11 : 13

Amanda : Alisa = 11x : 13x

Alisa gives 10 dresses to Amanda.

Amanda = 11x + 10

Alisa = 13x - 10

Amanda will have twice as many dresses as Alisa has.

11x + 10 = 2(13x - 10)

11x + 10 = 2(13x - 10)

11x + 10 = 26x - 20

15x = 30

x = 2

Amanda

= 11 x 2

= 22

Alisa

= 13 x 2

= 26

Amanda has 22 dresses, and Alisa has 26 dresses. This is calculated by solving the equations given in the problem according to the ratio and conditions provided. The number of dresses each girl has fits the criteria set by the original problem.

Solving the Ratio Problem

To find the number of dresses Amanda and Alisa have, we start by setting up the ratio and the conditions given:

Let the number of dresses Amanda has be 11x and the number Alisa has be 13x. The ratio of their dresses is 11:13.

If Alisa gives 10 dresses to Amanda, Amanda's dresses become 11x + 10 and Alisa's dresses become 13x - 10. According to the problem, Amanda will then have twice as many dresses as Alisa:

Expanding and simplifying the equation:

So, the number of dresses: