Use the polygon below to find the value of x.

We know that

• There are 2,850 people that pay taxes.

• 1/6 pay between $10,000 and $20,000.

Note that the problem is asking for the number of taxpayers that pay either more than $20,000 or less than $10,000. In other words, they are asking for the complement fraction of 1/6. Remember that the complement fraction can be found by subtracting the fraction from 1.

This means 5/6 of the taxpayers pay more than $20,000 or less than $10,000. Now let's multiply this fraction by the number of people.

let the numbers be = x, x+1,x+2,x+3

on adding all these numbers we get -2

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

4x + 6 = -2

4x = -2-6

4x = -8

x = -8/4

x = -2

x+1 = -2+1 = -1

x+2 = -2+2 = 0

x+3 = -2+3 = 1

therefore -2 is the smallest in the 4 consecutive numbers

hope it helps...!!!

The probability of not getting an even number when spinning the spinner once is \(\frac{5}{11}\).

You want to know the probability of not getting an even number when spinning a spinner divided into 11 equal sections numbered from 0 to 10.

Step 1: Identify the even numbers in the given range (0 to 10). The even numbers are 0, 2, 4, 6, 8, and 10.

Step 2: Count the number of even numbers. There are 6 even numbers in the given range.

Step 3: Calculate the total number of possible outcomes when spinning the spinner. There are 11 possible outcomes (0 to 10).

Step 4: To find the probability of not getting an even number (P(not even)), subtract the number of even numbers from the total number of outcomes. This will give you the number of odd numbers: 11 - 6 = 5.

Step 5: Now, divide the number of odd numbers by the total number of outcomes to find the probability: P(not even) = 5/11.

So, the probability of not getting an even number when spinning the spinner once is \(\frac{5}{11}\).

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In the Histogram the horizontal line (dimension) represents the value of the selected collection plan element. The vertical line (dimension) represents the count or sum of occurrences of the primary collection element on the horizontal line.

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Answer:

B. 178

Step-by-step explanation:

1203∨(5) = 178

Answer:

B) 178

Hope this help ^v^

Answer:

(1, -4)

Step-by-step explanation:

The nominal rate, periodic rate (round to 8 decimal places), and APY are 6.67047%, 0.53552453%, and 6.69589054%,

Given that the rate of 6.5% is compounded monthly. We need to determine (a) nominal rate, (b) periodic rate (round to 8 decimal places), and (c) APY.(a) Nominal rateNominal rate is the annual rate which is not compounded at any frequency. It is the rate which is stated on the contract or any other agreement. To determine the nominal rate, we use the following formula;Nominal rate = (1 + periodic rate/m)^m - 1

Where m is the number of times the rate is compounded in a year.Periodic rate = r = 6.5%/12 = 0.0054166667Nominal rate = (1 + 0.0054166667/12)^12 - 1Nominal rate = (1.0054166667)^12 - 1Nominal rate = 0.0667047365 or 6.67047%(b) Periodic ratePeriodic rate is the rate which is applied per period. It is also called as the effective rate per period.To determine the periodic rate, we use the following formula;Periodic rate = (1 + nominal rate)^(1/m) - 1Periodic rate = (1 + 0.0667047365)^(1/12) - 1Periodic rate = 0.0053552453 or 0.53552453%(c) APYAPY (Annual Percentage Yield) is the effective annual rate of return. It is also called as effective annual rate.

To determine the APY, we use the following formula;APY = (1 + periodic rate)^n - 1APY = (1 + 0.0053552453)^12 - 1APY = 0.0669589054 or 6.69589054%

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The number of players the team can bring to the tournament would be = 24 players

The softball game is the type of game that involves two teams which is made up of 9. - 10 players.

The total amount of money raised by a softball team=

$2089.50

The amount of money spent on rented bus = $1087.50

The amount left after rent deductions= 2,089.50 - 1,087.50 = 1,002

The amount budgeted for meals for each player= $41.75

The number of players that would be brought for tournament= 1,002/41.75

= 24 players.

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Based on the provided equation, the solution is 5. The appropriate description of the equation is eleven less than four times a number is 9. (Option B)

In mathematics, an equation expresses the equality of two expressions, by connecting them with the equals sign =. In order to determine the solution of the equation 4x - 11 = 9, the variable x is isolated at one end of the equation and all other constants on the other side. Hence,

4x - 11 = 9

Add 11 to both sides

4x - 11 + 11 = 9 + 11

4x = 20

Divide both sides by 4

4x/4 = 20/4

x = 5

Hence, from the numbers 1, 2, 3, 4, and 5, the solution of the equation is 5.

As x is a variable, the description the given equation represents is that when eleven is subtracted from four times a number x, the result is nine.

Note: The question is incomplete. The complete question probably is: For the given equation 4x - 11 = 9, which of the numbers 1, 2, 3, 4, and 5, are solutions to the equation? Which of these descriptions does the given equation represent? A. If you subtract eleven times a number from four, you get 9. B. Eleven less than four times a number is 9. C. Four more than eleven times a number is 9. D. If you add to four times a number, you get 9. E. If you subtract four from eleven times a number, vou get 9.

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Complete question :

Coach Jill brought 28 L of sports drink to the soccer game. She divided the sports drink equally between 7 coolers.

How many milliliters of sports drink did Coach Jill put in each cooler?

Answer:

4000 milliliters

Step-by-step explanation:

Total Litres of drink purchased = 28 L

Number of coolers in which drink was divided equally = 7

Hence, number of litres per cooler ;

Total litres of drink / number of coolers

28 L / 7

= 4 L. Per cooler

Recall:

1000 milliliters = 1 L

Hence, 4 L = (4 * 1000) = 4000 milliliters

Answer:

Step-by-step explanation:

4

Answer:

sharing of simple moral stories

Step-by-step explanation:

home within our geographic footprint.

Goals: Increase awareness of key homes for sale in our portfolio and generate traffic to the website for more information.

Step-by-step explanation:

the total is 8+5+7=20

the probabliliy that its gonna be 7/20

this fraction cannot be reduced

Answer:

36m^2

Step-by-step explanation:

A=bh

=6m*6m

=36m^2

The number of cups of flour that Diana use in the recipe will be 4 cups of flour.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Diana is baking bread, and the original recipe calls for 1 teaspoon of yeast and 2 cups of flour. Then the ratio of the number of teaspoons of yeast to the number of cups of flour will be constant.

Let 'x' be the amount of flour.

Diana will use the entire contents of a packet that contains 2 teaspoons of yeast and will use the same ratio of ingredients called for in the original recipe.  Then the equation is given as,

1 / 2 = 2 / x

x = 4

The number of cups of flour that Diana use in the recipe will be 4 cups of flour.

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Answer:

we have

(x+2)^{2} +5(x+2)-6=0(x+2)

2

+5(x+2)−6=0

Let

u=(x+2)u=(x+2)

Substitute in the expression

(u)^{2} +5(u)-6=0(u)

2

+5(u)−6=0

therefore

the answer is

(u)^{2} +5(u)-6=0(u)

2

+5(u)−6=0 is equivalent to (x+2)^{2} +5(x+2)-6=0(x+2)

2

+5(x+2)−6=0

Answer:

x=15

Step-by-step explanation:

3(x-5)=30

First, you would distribute the three to the x and the negative five.

3x-15=30

Then you would add 15 to the 15 to cancel it and to the 30 to make it even.

3x-15=30

  +15=+15=

3x=45

Finally, you would divide 3 into both sides, cancelling out the three and fiving you,

x=15

Hope this helped!

Start by distributing the 3 through the parenthses on the left side.

This gives us 3x - 15 = 30.

Now add 15 to both sides to end up with 3x = 45.

Dividing both sides by 3, we fin that x = 15.

Based on the Alternate Interior Angles Theorem, the measure of angle 3 in the image attached below is: 100°

If we have a situation where two parallel lines are intersected by a transversal, according to the Alternate Interior Angles Theorem, the pairs of alternate interior angles formed are congruent.

Angles 7 and 3 lie in the interior sides of the parallel lines but on opposite sides of the transversal, which makes them alternate interior angles. Therefore, based on the Alternate Interior Angles Theorem, we have:

m<3 = m<7

Substitute:

m<3 = 100°

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Answer:

11z+ 13

Step-by-step explanation:

22z - 11z = 11z

11z+ 13

Answer:

Step-by-step explanation:

32.5 is 1/10 of blank

Is means =. Of means multiply. So, 32.5=1/10*X

Answer:

32.5 is \(\frac{1}{10}\) of 325

Step-by-step explanation:

325 ÷ 10 = 32.5

Answer:

20 days

Step-by-step explanation:

Number of books sold each day for 40 days :

The first quartile (Q1) = 2

For the 25% of the days = 2 books were sold

Hence 0.25 * 40 = 10 days, 2 books or less were sold

The upper quartile (Q3) = 12 books

For up to 75% of the days = 0.75 * 40 = 30 days ; 12 books or less were sold

To obtain the number of books sold between 2 and 12 ; we subtract :

(30 days - 10 days) = 20 days

Answer:

20

Step-by-step explanation:

Use the property of determinant det(AB) = det(A)det(B) and the fact that A and A' have the same transpose to show that det(AAT) = (det(A))^2, and then use the fact that AAT is similar to A'A to conclude that they have the same characteristic polynomial. Option C is the correct answer.

Start with det(AAT). Use the formula det(AB) = (det A)(det B) to write det(AAT) = (det A)(det A). Then use the formula AAT = EI.

We can show that A and A' have the same characteristic polynomial by showing that they have the same eigenvalues.

Let λ be an eigenvalue of A with corresponding eigenvector x. Then we have:

Ax = λx

Multiplying both sides by A' on the left, we get:

A'Ax = A'λx

Using the fact that A'A = AA' = I, we can simplify this expression to:

x = λA'x

This shows that λ is also an eigenvalue of A' with corresponding eigenvector A'x. Therefore, A and A' have the same set of eigenvalues, which means that they have the same characteristic polynomial.

To prove this using determinants, we start with det(AAT). Using the property det(AB) = (det A)(det B), we can write:

det(AAT) = det(A)det(AT)

Since det(AT) = det(A) (which can be shown using the fact that det(AT) = det(A) and the property det(AB) = det(A)det(B)), we can simplify this expression to:

det(AAT) = (det A)^2

Using the fact that AAT = EI, we can write:

det(AAT) = det(EI)

Since det(EI) = 1, we have:

(det A)^2 = 1

Taking the square root of both sides, we get:

det A = ±1

This means that A and A' have the same set of eigenvalues, which implies that they have the same characteristic polynomial.

So, the correct option is C.

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Answer:

12

Step-by-step explanation:

if p=66 then q=11 that simply means p is 6 times greater than q. so if q=2 then p=12

A chart that compares three sets of values in a three-dimension chart is called surface.

A two-dimensional collection of points (flat surface), a three-dimensional collection of points with a curved cross section (curved surface), or the perimeter of any three-dimensional solid are all examples of surfaces in geometry.

A surface is typically a continuous boundary that separates two areas of a three-dimensional space. For instance, a sphere's surface divides its interior from its exterior, and a horizontal plane divides the half-planes above and below it. Despite the fact that regions they contain are three-dimensional and have a volume, surfaces are basically two-dimensional and have an area. Despite this, surfaces are frequently referred to by the names of the regions they surround. Differential geometry studies the characteristics of surfaces, particularly the concept of curvature.

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Given:

The graph of f passes through (-6,9).

It is perpendicular to the line that has an x-intercept of 8 and a y-intercept of -24.

To find:

The equation of the function f.

Solution:

The equation of line on which graph of f is perpendicular, is

\(\dfrac{x}{a}+\dfrac{y}{b}=1\)

where, a and b are x and y intercepts respectively.

\(\dfrac{x}{8}+\dfrac{y}{-24}=1\)

Multiply both sides by 24.

\(3x-y=24\)

Slope intercept form is

\(y=3x-24\)

Slope of this line is 3 and y-intercept is -24.

Product of slopes of two perpendicular lines is -1.

Let the slope of f is m. So,

\(m\times 3=-1\)

\(m=-\dfrac{1}{3}\)

Slope of m is -1/3 and it passes through (-6,9). So, the equation of function f is

\(y-y_1=m(x-x_1)\)

\(y-9=-\dfrac{1}{3}(x-(-6))\)

\(y-9=-\dfrac{1}{3}(x+6)\)

\(y-9=-\dfrac{1}{3}x-2\)

\(y=-\dfrac{1}{3}x-2+9\)

\(y=-\dfrac{1}{3}x+7\)

Put y=f(x).

\(f(x)=-\dfrac{1}{3}x+7\)

Therefore, the required function is \(f(x)=-\dfrac{1}{3}x+7\).

The missing angles and side measures are:

Angle A = 40°

Angle C = 70°

Side AC = 12 cm

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Triangle ABC is an isosceles triangle.

This means,

Two sides of the triangle are equal and the angle opposite to the sides are also equal.

Now,

Angle C and Angle B are equal.

Angle C = Angle B = 70°

The sum of the three angles is 180 degrees.

Angle A + Angle B + Angle C = 180

Angle A + 70 + 70 = 180

Angle A = 180 - 140

Angle A = 40°

Thus,

The angles of the triangle are 70, 70, and 40.

The sides of the triangle are 12 cm, 12 cm, and 8 cm.

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Step-by-step explanation:

The steps to find an outlier:

1. Put the data in numerical order.

2. Find the median.

3. Find the medians for the top and bottom parts of the data. This divides the data into 4 equal parts.

The median with the smallest value is called Q1. The median for all the values - usually just called the median is also called Q2. The median with the largest value is Q3.

4. Subtract...Q3 - Q1. This value is the InterQuartileRange or IQR. Remember that the range means taking the largest minus the smallest. This is a special range having to do with the quartiles.

5. Multiply...1.5 * IQR

6. Take your answer from #5 and do 2 things with it. A). Subtract it from Q1 and B) Additional to Q3.

7. Look at all your data points. If any are SMALLER than Q1 - 1.5 *IQR, they are outliers. If any are LARGER than Q3 + 1.5 *IQR, they are also outliers.

For your data....the median, Q2 is

(43+38)/2 = 40.5.

Q1 = (30+26)/2 = 28.

Q3 = (54+52)/2 = 53

The IQR is 53 - 28 = 25

1.5 * IQR = 37.5

Q1 - 37.5 = 28 - 37.5 = -9.5. There is no data value less than -9.5.

Q3 + 37.5 = 53 + 37.5 = 90.5. there is no data value greater than 90.5.

My conclusion is that there are no outliers in this data.

I hope this helps!

The value of function f(x), when x=2.4 is f(x)=0.00625.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

If the function f(x) varies inversely with x, then this function is of the form -

f(x)=a/x

where a is unknown number.

Since  f(x)=0.5 when x =0.3, then -

0.5 = a/0.3

a = 0.5 × 0.3

a = 0.15

So, the function now becomes -

f(x) = 0.15/x

Substituting for x = 2.4 -

f(2.4) = 0.15 / 2.4

= 15/240

= 1/16

= 0.00625

Therefore, f(x) value is obtained as 0.00625.

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The function f(x) varies inversely with x and f(x)=0.5 when x =0.3. what is f(x) when x=2.4?