What will happen to the measures of central tendency if the outlier is removed

The answer would be 5

20/4=5

Answer:

A. First

B.second

C.First

D.Third

E.second

Answer:

6825

Step-by-step explanation:

area=largo X ancho

area= 105 x  65=  6825

Answer:3/4 * 1/5 = 3/20 = 0.15

Step-by-step explanation:Multiple: 3/

4 * 1/5 = 3 · 1/4 · 5 = 3/20

Multiply both numerators and denominators. The result fraction keep to the lowest possible denominator GCD(3, 20) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - three quarters multiplied by one-fifth is three twentieths.

Answer:

Step-by-step explanation:

A ≤ B ≤ C

C = 90°

B = A+42°

A+B = 90°

A+(A+42) = 90°

A = 24°

B = A+42° = 66°

24, 66, 90 are the measure of all three angles of the right angle triangle

A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.

Given, The measure of one angle of a right triangle is 42∘ more than the measure of the smallest angle.

Let "x" be the smallest angle in a right angle triangle.

So, biggest angle in the triangle will be x +42

Since, sum of the all the angles in a triangle = 180

x + x+ 42 +90 = 180

2x + 42 = 90

2x = 48

x = 24

Measure of the smallest triangle =x = 24

Measure of the biggest angle = 24 + 42

Measure of the biggest angle = 66

therefore, The measure of all three angles of the right angle triangle are 24, 66, 90.

Learn more about right-angle triangle here:

https://brainly.com/question/3770177

#SPJ2

\(\mathfrak{ x ^ { 2 } + b x - 4 = 0} \)

\(\mathfrak{bx-4=-x^{2} } \)

\(\mathfrak{bx=-x^{2}+4 } \)

\(\mathfrak{xb=4-x^{2} } \)

\(\mathfrak{\frac{xb}{x}=\frac{4-x^{2}}{x} } \)

\(\mathfrak{ b=\frac{4-x^{2}}{x} } \)

\(\mathfrak{b=-x+\frac{4}{x} } \)

AnSwEr

\(\boxed{\mathfrak{b=-x+\frac{4}{x},x\neq 0 } }\)

 ღ ꪑ꠸᥅ꫀꪊ

a. $456 would be the amount a customer could save during the first year by switching from Cable Zone to Super Vision.

b. Super Vision raises the rates 23% after a new customer's first year,  a customer who switched from Super Vision save $180 in the second year.

c. Super Vision raises the rates 18% for the third year compared to the second year, for the third year, Cable Zone would be cheaper.

a. To calculate how much a customer could save during the first year by switching from Cable Zone to Super Vision, we need to compare the costs of the two providers.

Cable Zone charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for monthly cable television. Therefore, the total cost per month with Cable Zone is:

$46 (home phone) + $36 (Internet) + $56 (cable television) = $138

Super Vision, on the other hand, offers all three services for a flat $100 monthly fee. So, the customer would save:

$138 (Cable Zone cost) - $100 (Super Vision cost) = $38 per month

Therefore, during the first year, the customer could save:

$38 (monthly savings) * 12 (number of months) = $456

b. After the first year, Super Vision raises the rates by 23%. The new monthly fee would be:

$100 (original fee) + 23% (rate increase) * $100 (original fee) = $123

To calculate the savings in the second year, we need to compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $123 (Super Vision cost) = $15 per month

Therefore, in the second year, the customer would save:

$15 (monthly savings) * 12 (number of months) = $180

c. If Super Vision raises the rates by 18% for the third year compared to the second year, we need to calculate the new monthly fee. The new Super Vision fee would be:

$123 (second-year fee) + 18% (rate increase) * $123 (second-year fee) = $145.14

To determine which company is cheaper for the third year, we compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $145.14 (Super Vision cost) = -$7.14

In this case, the Super Vision cost is higher than the Cable Zone cost by $7.14 per month. Therefore, for the third year, Cable Zone would be cheaper.

Overall, during the three-year period, the customer would save a total of $456 (first year) + $180 (second year) = $636 by switching to Super Vision.

For more such information on: rates

https://brainly.com/question/25720319

#SPJ8

The function f ( x ) = 2 x² + 5 will have the value 23 for f (- 3).

We are given the function:

f ( x ) = 2 x² + 5

We need to find the value of f ( -3 ).

We will do this by substituting the value of x = - 3 in the function and then evaluating the expression.

Putting x = -3 in the function, we get that:

f ( x = - 3 ) = 2 (- 3)² + 5

Solving the square, we get that:

f (- 3) = 2 ( 9 ) + 5

Simplifying the expression, we get that:

f (- 3) = 18 + 5

f (- 3) = 23

Therefore, we get that, the function f ( x ) = 2 x² + 5 will have the value 23 for f (- 3).

Learn more about function here:

https://brainly.com/question/4025726

#SPJ9

If Given f(x) = 1/2 (3 - x) ^ 2 , the value of f(15) is 72.

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range. In simpler terms, a function is a set of rules that takes an input value and produces a corresponding output value.

The given function is:

f(x) = 1/2 (3 - x)²

To find the value of f(15), we need to substitute 15 for x in the function:

f(15) = 1/2 (3 - 15)²

Here, we subtract 15 from 3 to get -12 in the parentheses, and then we square it to get 144. We can simplify the expression further by multiplying 144 by 1/2, which gives us 72:

f(15) = 1/2 (144)

f(15) = 72

Therefore, the value of f(15) is 72.

To learn more about functions from the given link:

https://brainly.com/question/12431044

#SPJ1

Answer:

25?

Step-by-step explanation:

Answer:

5 x 5= 25

Step-by-step explanation:

The inverse function of f (x) = 1/3x - 2 is f⁻¹(x) = 3(x + 2), the value of a is 3, and the value of x-intercept is x = -2.

To find the inverse of the given function as it is not a one to one function (has the same value f(x) for more that one value of x) you restrict the domain to get a function one to one.

What is a function?

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.

Given:

f (x) = 1/3x - 2

Find its inverse as shown below,

Add 2 to x and then divide by 1/3 as shown below,

f⁻¹(x) = (x + 2) / 1/3

f⁻¹(x) = 3(x + 2)

compare with f⁻¹(x) = a (x + 2)

a = 3

Calculate the x-intercept by putting f(x) = 0

0 = x + 2

x = -2

In a quadratic function as given use the vertex to restrict the domain; restrict the domain using coordinate x of the vertex.

learn more about of function here

https://brainly.com/question/29181297

#SPJ4

Answer:

x=31°

Step-by-step explanation:

2x-7+x+4 = 3x-3

90+3 = 3x

93 = 3x

x = 93/3

x = 31°

The percentage population increase from 2001 to 2011 is 50%.

To calculate the percentage population increase from 2001 to 2011, you need the population figures for both years. Let's assume the population in 2001 was 100,000 and in 2011 it was 150,000.

The formula to calculate the percentage increase is:

Percentage Increase = ((New Value - Old Value) / Old Value) * 100

Plugging in the values:

Percentage Increase = ((150,000 - 100,000) / 100,000) * 100 = (50,000 / 100,000) * 100 = 0.5 * 100 = 50%

Therefore, the percentage population increase from 2001 to 2011 is 50%.

Please note that the actual population figures for the respective years need to be used in the calculation to obtain an accurate result. The example above is for illustrative purposes.

For more such questions on percentage.

https://brainly.com/question/24877689

#SPJ8

Option A. The only graph that could represent the function with the zeros of -2 and 4 is the graph is : A parabola declines from (negative 3 point 1, 10) through (negative 3, 8), (negative 2, 0), (negative 1, negative 4), (1, negative) and rises through (2, negative 8), (3, negative 4), (4, 0), (5, negative 6), and (5 point 5, 10).

The zeros of a quadratic function are the x-values where the function equals zero (where it crosses the x-axis). In this case, you mentioned that the zeros of the function are -2 and 4.

Looking at the provided options:

A. This graph crosses the x-axis at (-2, 0) and (4, 0), which are indeed the zeros of the function. Therefore, this could be a possible representation of the function.

B. This graph crosses the x-axis at (-4, 0) and (2, 0). These are not the zeros given for the function (-2 and 4), so this graph is not a possible representation of the function.

C. This graph crosses the x-axis at (-4, 0), but it never crosses at x=4. Instead, it crosses at x=2. Therefore, this is not a possible representation of the function.

D. This graph crosses the x-axis at (2, 0), but does not cross the x-axis at x=-2. Therefore, this is not a possible representation of the function.

So, the only graph that could represent the function with the zeros of -2 and 4 is the graph provided in Option A.

Read mroe on quadratic graph here:https://brainly.com/question/1523847

#SPJ1

Answer:

3 x 9 = 3 x (5 + 4)

= 15 + 12

= 27

Step-by-step explanation:  First you split 9 into 2 parts and ask what plus what equals 9?  5 + 4 = 9 so you got the first equation 3 x (5 + 4).

Then 3 x 5 = 15 and 3 x 4 = 12 so you got the equation 15 + 12 = 27

Answer:

60 miles

Step-by-step explanation:

Since 1 inch on the map equals 20 miles, you just have to multiply 3 by 20.

3x20=60

Answer:

Step-by-step explanation:

what is 12/21 + 18/21 + 14/21

(12 + 18 + 14)/21 =

44/21

The third angles in the given cases are:a) 68°b) 79°c) 106°d) 120°e) 64°.

To calculate the third angle of a triangle in which two of the angles are given, we need to use the fact that the sum of all the angles of a triangle is always 180°. Let's use this fact to solve each case given:a) Two angles are given as 47° and 65°. To find the third angle, we subtract the sum of the given angles from 180°.

That is, third angle = 180° - (47° + 65°) = 68°.b) Two angles are given as 24° and 77°. Similar to the previous case, the third angle = 180° - (24° + 77°) = 79°.c) Two angles are given as 56° and 18°. The third angle = 180° - (56° + 18°) = 106°.

d) Two angles are given as 39° and 21°. The third angle = 180° - (39° + 21°) = 120°.e) Each of the two angles is given as 58°. To find the third angle, we subtract twice the value of one of the given angles from 180°. That is, third angle = 180° - (2 × 58°) = 64°.

for more question angles

https://brainly.com/question/25770607

#SPJ8

The value after divide will be;

⇒ 8x⁻²z⁻²c - 4x²z - 5x²z³

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The expression is,

⇒ (32x³z² - 16x⁷z⁵ - 20x⁷z⁷) ÷ (4x⁵z⁴)

Now,

Divide the polynomial as;

⇒ (32x³z² - 16x⁷z⁵ - 20x⁷z⁷) ÷ (4x⁵z⁴)

⇒ (32x³z² - 16x⁷z⁵ - 20x⁷z⁷) / (4x⁵z⁴)

⇒ 32x³z²/4x⁵z⁴ - 16x⁷z⁵/4x⁵z⁴ - 20x⁷z⁷/4x⁵z⁴

⇒ 8x⁻²z⁻²c - 4x²z - 5x²z³

Thus, The value after divide will be;

⇒ 8x⁻²z⁻²c - 4x²z - 5x²z³

Learn more about the divide visit:

https://brainly.com/question/315081

#SPJ1

well, since all interior angles in a triangle add up to 180°, by definition A = 44°, since B and A are complementary anyway.

\(\cos(46^o )=\cfrac{\stackrel{adjacent}{9}}{\underset{hypotenuse}{c}}\implies c=\cfrac{9}{\cos(46^o)}\implies c\approx 13.0 \\\\[-0.35em] ~\dotfill\\\\ \tan(46^o )=\cfrac{\stackrel{opposite}{b}}{\underset{adjacent}{9}}\implies 9\tan(46^o )=b\implies 9.3\approx b\)

Make sure your calculator is in Degree mode.

Answer:

$52.50

Step-by-step explanation:

210 divided by 4 equals 52.50

The p-value for this null hypothesis is 0.000.

In order to calculate this p-value, we need to first define the null hypothesis and the alternative hypothesis. The null hypothesis is that IU students drink an average of 5.5 drinks per night out, while the alternative hypothesis is that IU students drink an average of more than 5.5 drinks per night out. We then need to calculate the test statistic, which will be the z-score. To calculate the z-score, we need to calculate the population mean, the sample mean, the population standard deviation, and the sample size.

Once we have all of this information, we can then calculate the z-score using the formula z-score = (X-μ)/(σ/√n). With the z-score, we can then use the z-table to find the p-value, which will be 0.000. This p-value is less than 0.05, which means that we can reject the null hypothesis and accept the alternative hypothesis, which is that IU students drink an average of more than 5.5 drinks per night out.

Learn more about null hypothesis here:

https://brainly.com/question/28920252

#SPJ4

When solving a linear system of equations, you are looking for the points of intersection between the equations

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

Solving a system of linear equations

Also, we have the following from the options

The general rile is that

Slope = rate of change

x and y intercepts = when y and x equals 0

points of intersection = solution to the system

Hence, you are looking for the points of intersection between the equations

Read more about equations at

https://brainly.com/question/148035

#SPJ1

Question

When solving a linear system of equations, you are looking for which of the following?

Slope

y-intercept

x-intercept

Points of intersection

The number of ways to put 11 different postcards into three identical envelopes, using the combination technique, is 165.

Combination is a mathematical technique showing the number of arrangements that are possible for a collection of items without any order.

This description implies that in combination the order of the arrangement is not important.

Combinations are different from permutations.  Permutations involve the arrangement of ordered data sets.

The combination formula is expressed as n!/[r!*( n-r)!], where:

n = 11

r = 3

The combination of 11 in 3 identical envelopes is given as:

11!/[3!*( 11-3)!]

= 11!/(3!* 8!)

= 39,916,800/(6 × 40320)

= 39,916,800/241,920

= 165

Thus, 11 different postcards can be arranged in three identical envelopes in 165 ways.

Learn more about combinations at https://brainly.com/question/29089154.

#SPJ1

Answer:

-2x^2+5y^3+

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the percent change, we can use the formula:

percent change = (final value - initial value) / initial value * 100

In this case, the initial value is 8 and the final value is 120. Plugging in the values, we get:

percent change = (120 - 8) / 8 * 100 = 1,400%

So, the percent change in the number of Crayola crayon colors is 1,400%. This represents a significant increase from the initial 8 colors in 1903.

The scale factor that was used to convert triangle ABC into the image in A ' B ' C ' is 1 / 2.

To find the scale factor, you need to find the length of a side of triangle ABC and then the length of the corresponding side in A ' B ' C '.

The side length we will pick is AB which is:

= 6 - 2

= 4 units

The side length of the other triangle is A' B' :

= 3 - 1

= 2 units

The scale factor is:

= 2 / 4

= 1 / 2

Find out more on scale factors at https://brainly.com/question/2826496

#SPJ1

The solutions to the questions are

The area of a shape is the amount of space on the shape

For most regular quadrilaterals, you multiply the side lengths to determine the area

The area expression is given as

Area = ▢ × 102 + ▢ × 101 + 6

From the question, we can use any number

However, this number must be positive

Assume the number is 5

So, we have

Area = 5 × 102 + 5 × 101 + 6

In (a), we have:

Area = 5 × 102 + 5 × 101 + 6

Evaluate

Area = 1021

The perfect square number closest to this is

Closest = 1024

In (b), we have

Closest = 1024

Rewrite as

Area = 1024

Take the square roots

Length = 32

Read more about areas at

https://brainly.com/question/16184187

#SPJ1