solve for x please and thank you

C. When there is no outlier, the mean is the appropriate measure of center.

When there are no outliers in a dataset, the mean is a good measure of center because it takes into account the values of all the data points. The median is also a good measure of center, but it may not be the best choice if there are extreme values or outliers in the dataset, as it can be influenced by those values. However, when there are no outliers, both the mean and the median are appropriate measures of center.

Option A is not true because the mean is not skewed in one direction when there is no outlier. Skewness refers to the shape of the distribution, and it can be affected by outliers, but not by the absence of outliers.

Option B is not true because the median is not skewed in one direction when there is no outlier. Skewness refers to the shape of the distribution, and the median is not affected by the shape of the distribution, but by the position of the values.

Option D is not true because the median can be used as the measure of center even when there is no outlier. It is a robust measure of center that is not influenced by extreme values.

Answer: isosceles, because each side is accurate

Answer:

Scalene, right.

Step-by-step explanation:

Its scalene because all the sides are not equal.

It is a right angled triangle.

Hope this helps!

pls like and mark as brainliest :)

Answer:

[tex]\textsf{B.} \quad \dfrac{2 +\sqrt{12}}{2}[/tex]

[tex]\textsf{C.} \quad 1[/tex]

[tex]\textsf{E.} \quad \dfrac{2-\sqrt{12}}{2}[/tex]

Step-by-step explanation:

If f(x) is a polynomial, and f(a) = 0, then (x – a) is a factor of f(x).

If the coefficients in a polynomial add up to 0, then (x - 1) is a factor.

Given polynomial function:

[tex]f(x)=x^3-3x^2+2[/tex]

Sum the coefficients:

[tex]\implies 1-3+2=0[/tex]

As the sum of the coefficients equals one, (x - 1) is a factor the polynomial.

Find the other factor by dividing the polynomial by (x - 1):

[tex]\large \begin{array}{r}x^2-2x-2\phantom{)}\\x-1{\overline{\smash{\big)}\,x^3-3x^2+2\phantom{)}}}\\{-~\phantom{(}\underline{(x^3-x^2)\phantom{-)..)}}\\-2x^2+2\phantom{)}\\-~\phantom{()}\underline{(-2x^2+2x)\phantom{}}\\-2x+2\phantom{)}\\\phantom{)}-~\phantom{()}(-2x+2)\\\end{array}[/tex]

Therefore, the factored form of the polynomial is:

[tex]f(x)=(x-1)(x^2-2x-2)[/tex]

To find the roots, set the function to zero and solve for x.

Set the first factor to zero and solve for x:

[tex]\implies (x-1)=0 \implies x=1[/tex]

Set the second factor to zero and solve for x using the quadratic formula:

[tex]\implies x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]\implies x=\dfrac{-(-2) \pm \sqrt{(-2)^2-4(1)(-2)}}{2(1)}[/tex]

[tex]\implies x=\dfrac{2 \pm \sqrt{12}}{2}[/tex]

Answer:

15/16

Step-by-step explanation:

The formula to calculate the measure of each individual exterior angle in any polygon is: Exterior angle measure = 360°/n.

To find the measure of each individual exterior angle in any polygon, first, you must understand the Polygon Exterior Angle-Sum Theorem, which states that the exterior angles of any polygon add up to 360 degrees.

With this information, the formula for the measure of an individual exterior angle is simple: Exterior angle measure = 360°/n, where n is the number of sides in the polygon.

By dividing the total sum of the exterior angles (360°) by the number of sides (n) in the polygon, you can determine the measure of each individual exterior angle.

For more questions like Polygon click the link below:

https://brainly.com/question/26570476

#SPJ4

The value of the function W(x) for x=6 is 17,799,730.56 cubic inches.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Given that, the function V(x)=4/3 πx³ represents the volume (in cubic inches) of the sphere.

The function W(x) = V(27x) represents the volume (in cubic inches) of the sphere when x is measured in feet.

W(x) = 4/3 π(27x)³

W(x) = 4/3 π(27x)³

= 4/3 π×19683×x³

= 4π×6561×x³

W(x)= 26244πx³

W(6)= 26244×3.14×(6)³

= 17,799,730.56 cubic inches

Therefore, the value of the function W(x) for x=6 is 17,799,730.56 cubic inches.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ1

Answer:

3.) 3:7

Step-by-step explanation:

We know

Of the 300 television sets sold at an electronics store last month, 90 were flat-screen TVs.

300 - 90 = 210

So, we know the store sold 90 flat-screen TVs and 210 other TVs

What was the ratio of flat-screen TVs to other TVs sold last month?

The ratio is

90:210

3:7

So, the answer is 3.) 3:7

Answer:

3.) 3:7

Step-by-step explanation:

The unsimplified ratio would be 90:210 since flat-screen TVs are excluded, but if you simplify this you get 3:7.

90:210

9:21

3:7

The expected value of the sum of the two dice is 72

It is calculated by finding the weighted average of all possible sums, where each possible sum is weighted by its probability of occurring.

Let's call the 8-sided die "A" and the 9-sided die "B". Then, the possible sums are:

2 (A: 1, B: 1), 3 (A: 1, B: 2), 4 (A: 1, B: 3), ..., 16 (A: 8, B: 8)

The probability of each sum is the product of the probabilities of the individual dice outcomes:

P(2) = (1/8) * (1/9)

P(3) = (1/8) * (2/9)

...P(16) = (8/8) * (8/9)

The formula gives the expected value of the sum:

E = ∑P(x) * x

where x is each possible sum and P(x) is its probability.

Plugging in the values, we get:

E = (1/8) * (1/9) * 2 + (1/8) * (2/9) * 3 + ... + (8/8) * (8/9) * 16

E = (1/72) * (2 + 3 + ... + 16) + ... + (8/72) * (16)

E = (1/72) * [2 + 3 + ... + 16] * 8 + ... + (8/72) * 8 * 8

E = (1/9) * [2 + 3 + ... + 16]

We can now use the formula for the sum of an arithmetic series:

S = n/2 * (a + b)

where n is the number of terms, a is the first term, and b is the last term.

Applying this formula to the series [2, 3, ..., 16], we get:

S = 8/2 * (2 + 16) = 8 * (9) = 72

Learn more about tossing a dice at:https://brainly.com/question/29517279

#SPJ4

Finally, to find the number of hours Geoff worked, we can divide both sides of the equation by 17.50:

h = 25

So Geoff worked 25 hours in his first week.

Let's call the number of hours Geoff worked in his first week "h". We can write an equation to find the value of h by using the information given.

Geoff's pay per hour is $17.50, so his pay for h hours would be 17.50h.

Including the $200 one-time hiring bonus, Geoff's total pay for the first week was $637.50, so we can write the equation:

17.50h + 200 = 637.50

To find the number of hours Geoff worked, we need to isolate the h term. To do this, we can subtract 200 from both sides:

17.50h = 437.50

Finally, to find the number of hours Geoff worked, we can divide both sides of the equation by 17.50:

h = 25

So Geoff worked 25 hours in his first week.

To learn more about equation:

https://brainly.com/question/20420746

#SPJ4

The volume of the cylinder is  538.9 m³.

A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a specific height from the center.

Examples of cylinders are toilet paper rolls and cold beverage cans.

The volume of a cylinder is πr²h.

Curved surface area = 2πrh.

Total surface area = 2πr(h + r).

The T.S.A. is equal to 231m² and C.S.A. is equal to 154m².

We know that,

T.S.A - C.S.A = 2πr².

231 - 154 = 2πr².

77 = 2πr².

πr² = 77/2.

πr² = 38.5.

r² = 12.26.

r = 3.5.

2πrh = C.S.A

2πrh = 154.

h = 154/(πr).

h = 14.01

Therefore, The volume is equal to,

π×(3.5)²×14.01.

= 538.9 m³.

learn more about cylinders here :

https://brainly.com/question/27853279

#SPJ1

The transformation rule (x, y) → (-y, x) describes a 270* rotation about the origin for a triangle on the coordinate grid.

A transformation in mathematics is a process of mapping or changing one figure into another while preserving its shape, size and orientation. The coordinate grid is a tool used to plot points and study transformations in a two-dimensional plane.

The transformation rule that describes this rotation is (x, y) → (-y, x). This rule means that for every point (x, y) in the triangle STU, the new point (x', y') in the triangle S'T'U' is obtained by swapping the x and y coordinates and negating the y-coordinate. In other words, the x-coordinate remains unchanged, while the y-coordinate is negated.

For example, if the point (3, 4) is in the triangle STU, the new point (x', y') in the triangle S'T'U' would be (4, -3).

This rule applies to all points in the triangle, and the result is a rotation of the original triangle by 270* in a counterclockwise direction about the origin.

To know more about triangle here.

https://brainly.com/question/8587906

#SPJ4

The  number of self-propelled mowers and riding mowers who paid total fee of $900 with $20 and $40 each are equal to 5 and 20 respectively.

Let 'x' be the number of self-propelled mowers and 'y' be the number of riding mowers.

Total number of self-propelled and riding mowers = 25

⇒ x + y = 25

⇒ x = 25 - y __(1)

Total fees paid = $900

Rental cost for each  self-propelled mower = $20

Rental cost for each riding mower = $40

20x + 40y = 900

⇒ x + 2y = 45___(2)

Substitute the value x in from (1) in  (2) we get,

⇒ 25 - y + 2y = 45

⇒ y = 20

⇒ x = 5

Therefore, the number of self-propelled mowers and riding mowers as per given total fee are 5 and 20 respectively.

Learn more about total fee here

brainly.com/question/13841733

#SPJ4

Kimi's weekly total savings would be $17.

Kimi's total earnings from her job in a week would be $9 × 1 = $9.

Her total allowance and earnings from her job would be $9 + $8 = $17.

Kimi earns $9 an hour at her job, and her allowance is $8 per week, so her total weekly income is $9 + $8 = $17.

Jordan earns $7 an hour, and his allowance is $16 per week, so his total weekly income is $7 + $16 = $23.

So, Kimi's weekly total savings would be $17.

Hence, the answer to the given problem is $17.

To know more about allowance, here

https://brainly.com/question/29043310

#SPJ4

--The given question is incomplete; the complete question is

"Komi and Jordan are each working during the summer to earn money in addition to their weekly allowance, and they are saving all their money. Kimi earns $9 an hour at her job, and her allowance is $8 per week; Jordan earns $7 an hour, and his allowance is $16 per week. If the number of hours worked in a week is one, what are Kimi’s weekly total savings?"--

The ratio of cleaning product to water for the condition is 1/5

Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorize ratios. Part to whole ratio is one, and part to part ratio is the other.

Given it is recommended that 4 ounces of the product are diluted using 20 ounces of water.

to find the ratio of cleaning products to water

ratio = cleaning product/water

cleaning product = 4 ounce

water = 20 ounces

ratio = 4/20

4/20 is equivalent to 1/5

ratio = 1/5

Hence option A is correct.

Learn more about ratios;

https://brainly.com/question/13419413

#SPJ1

The image vertices of K′L′M′N′ if the preimage is rotated 90° clockwise are K′(0, 0), L′(2, −5), M′(−5, −5), N′(−3, 0). Therefore, option B is the correct answer.

Here are the rotation rules: 90° clockwise rotation: (x, y) becomes (y, -x) 90° counterclockwise rotation: (x, y) becomes (-y, x) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y).

Given that, polygon KLMN is drawn with vertices at K(0, 0), L(5, 2), M(5, −5), N(0, −3).

After rotated 90° clockwise, we get

K(0, 0)→K'(0, 0)

L(5, 2)→L'(2, -5)

M(5, −5)→M'(-5, -5)

N(0, −3)→N'(-3, 0)

Therefore, option B is the correct answer.

Learn more about the rotation of 90° counterclockwise here:

brainly.com/question/1571997.

#SPJ2

Step-by-step explanation:

To find the possible rational roots of a polynomial function, you can use the Rational Root Theorem. According to this theorem, if a rational number "p/q" is a root of a polynomial function, where p and q are integers, and q ≠ 0, then p must div ide the constant term of the polynomial and q must divide the leading coefficient of the polynomial.

To test if one of the possible rational roots is indeed a root (zero) of the polynomial, you can use the Synthetic Division method. In this method, you divide the polynomial by the linear factor (x - p/q) corresponding to the test root, and check if the remainder is zero. If the remainder is zero, then the test root is a zero (root) of the polynomial.

Answer:

Last option:

x ≤ 217

Step-by-step explanation:

Mean time = Total Time/Number of observations

Mean time = (192 + 206 + 194 + 191 + x)/5 = (783 + x)/5

We want this mean time to be no greater than 200 seconds.

In other words we want mean time ≤ 200 s

We therefore get the inequality:
(783 + x)/5 ≤ 200

Multiplying both sides by 5
=> (783 + x) · 5  ≤ 200 · 5

=> 783 + x ≤ 1000

=> x ≤ 1000 - 783

=> x ≤ 217

Answer:

2n+2

Step-by-step explanation:

With Mo and Beth splitting £48 in the ratio 3.5 , Beth would get £10.67 with the total ratio of 4.5.

When two people split a sum of money in a certain ratio, it means that they divide the total amount into parts that are proportional to the ratio. In this case, Mo and Beth are splitting £48 in the ratio 3.5. This means that Mo gets 3.5 parts of the total amount, while Beth gets 1 part of the total amount.

To calculate the total ratio, you add up the individual parts of the ratio. In this case, the total ratio is 3.5 + 1 = 4.5. This means that the £48 has to be divided into 4.5 equal parts.

Next, to find the amount that Beth gets, you need to find what portion of the 4.5 parts of the total amount corresponds to her 1 part of the ratio. You do this by dividing £48 by the total ratio, which gives you £48 / 4.5 = £10.67.

Finally, you multiply this amount by 1, which represents Beth's share of the ratio. So, £10.67 * 1 = £10.67. Therefore, Beth would get £10.67.

To learn more about ratio click on,

https://brainly.com/question/27590495

#SPJ4

So Lisa and Linda planted 9/6 of the garden altogether. In simplest form, this fraction can be reduced to 3/2, which means that they planted 3/2 of the total garden area.

To find out the total area of the garden that Lisa and Linda planted, we need to add the fraction of the garden that Lisa planted to the fraction of the garden that Linda planted.

Lisa planted 4/7 of the garden, so we can write this as 4/7 of the total area.

Linda planted 1/6 of the garden, so we can write this as 1/6 of the total area.

To add these two fractions, we need to find a common denominator, which is the smallest number that both 7 and 6 can divide into evenly. The smallest common denominator is 6, so we can convert both fractions to have a denominator of 6:

Lisa planted 4/7 of the garden, which can be converted to 8/14 (by multiplying both the numerator and denominator by 2).

Linda planted 1/6 of the garden, which stays the same, since 6 is already the denominator.

Now that both fractions have a denominator of 6, we can add the numerators together to find the total amount of the garden that they planted:

8/14 + 1/6 = (8 + 1)/6 = 9/6

So Lisa and Linda planted 9/6 of the garden altogether.

In simplest form, this fraction can be reduced to 3/2, which means that they planted 3/2 of the total garden area.

To know more about Linda planted click here:

brainly.com/question/1119291

#SPJ4

Answer:

21

Step-by-step explanation:

The median is the value separating the higher half of the data from the lower half.

10,11,13,18,19,  21   ,22,25,27,30,32

We see the middle number in this set is 21, so the median is 21

Based on the given pictures:

Angle ∠1 has a more than 90° angle, means that it is classified as obtuse angle.

Angle ∠2 has a less than 90° angle, means that it is classified as an acute angle.

∠ABC is a straight angle because it creates a straight line with 180°.

Angle ∠2 can be named as ∠EBD because it was created by lines EB and ED.

∠WXY = 88°

∠WXZ = 4x - 3

∠ZXY = 2x + 1

∠WXY = ∠WXZ + ∠ZXY

88 = (4x - 3) + (2x + 1)

88 = 6x - 2

6x = 90

x = 15

∠HIJ = 108°

IK bisects ∠HIJ

∠HIK = 4x + 2

∠HIJ = 2∠HIK

108 = 2(4x + 2)

108 = 8x + 4

8x = 104

x = 13

Learn more about Angles here: brainly.com/question/28451077

#SPJ1

Therefore , the solution of the given problem of expression comes out to be x - 77.

Arithmetic, algebra, and subdivision are required in math. When united, they produce the following: A mathematical function, some data, and an equation A statement of fact contains values, parameters, and mathematical operations like additions, addition and subtraction, matrix multiplication, and divisions. It is possible to analyse and assess various phrases and terms.

Here,

If we let "a number" be represented by the variable x, then the expression "the difference of a number and 7 times 11" can be written as:

x - 7 * 11

Simplifying this expression gives:

x - 77

Therefore , the solution of the given problem of expression comes out to be x - 77.

To know more about expressions visit :-

brainly.com/question/14083225

#SPJ1

Answer:

30

Step-by-step explanation:

this is the explanation

6÷20% = 30

Any real value of x which is greater than 9 inches will make the perimeter of rectangle more than 50 inches

Let us assume that the length of the rectangle is represented by l and the width is represented by w.

Assuing l = 16 inches and width = x inches

Let P represents the perimeter of the rectangle.

We know that the formula for the perimeter of the rectangle is:

P = 2(l + w)

The perimeter should be more than 50.

So, we get an inequality,

P > 50

2(l + w) > 50

l + w > 25

16 + x > 25

16 + x - 16 > 25 - 16

x > 9

Thi means, that for any  x > 9 will make the perimeter greater than 50 in.

Learn more about the perimeter of rectangle here:

https://brainly.com/question/29595517

#SPJ4

The lateral surface area of the rectangular prism is 72 square inches.

All of the sides of the object are the lateral surface of an object, except its base and top (when they exist). The lateral surface area is the lateral surface zone. This is to be distinguished from the overall surface area, which, along with the base and top areas, is the lateral surface area.

Given that, length =7 inches, breadth =5 inches and height =3 inches.

We know that, the lateral surface area of the rectangular prism is 2(l+b)h

Now, the lateral surface area = 2(7+5)×3

= 2×12×3

= 72 square inches

Therefore, the lateral surface area of the rectangular prism is 72 square inches.

Learn more about the lateral surface area here:

https://brainly.com/question/14001755.

#SPJ1

The solution to the given algebraic expression is 162.

The process of solving algebraic expressions can sometimes be the process whereby numbers are used as a substitute or to replace a variable(s) in order to get a desired solution.

In the given question,  we have 2x² + 3xy, where x = 6 and y = 5. It means that we are going to replace the value of x with 6 where ever we see x in the expression and y with 5.

Thus, 2x² + 3xy becomes:

= 2(6)² + 3(6)(5)

= 2(36) + 3(30)

= 72 + 90

= 162

Learn more about solving algebraic expressions here:

https://brainly.com/question/4541471

#SPJ1

the value of  1 mile divided by 2 laps is 0.5 mi/lap.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given, 1 mile divided by 2 lap

Simplifying the equation in numerical form

=> 1 mile divided by 2 lap

=> 1/ 2  mil/ laps

=> 0.5 mil/lap

Therefore, the value of  1 mile divided by 2 laps is 0.5 mi/lap.

Learn more about Mathematical operations here:

https://brainly.com/question/20628271

#SPJ1