there are10 students in aclass that meets in a room that has 12 chairs. how many ways is it possiblefor the students to be seated?

15% of the students scored higher than Henry on the accounting exam.

Percentiles are a measure of the relative standing of a value within a set of values. The nth percentile is a value such that n% of the values are less than or equal to that value.

So, if Henry's score is in the 85th percentile, it means that 85% of the scores in the class are less than or equal to his score.

Therefore, 100% - 85% = 15% of the scores in the class are higher than Henry's score. So, 15% of the students scored higher than Henry on the accounting exam.

Learn more about percentile here : brainly.com/question/17223173

#SPJ1

Answer:

x < -3

Step-by-step explanation:

-3x > 5 + 4

-3x > 9 /: (-3) *** WHEN DIVIDING BY A NEGATIVE NUMBER THE SIGN OF THE INEQUALITY CHAGES !!!

x < -3

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

9/32 is fraction of all the shapes are circles .

What does a math ratio mean?

Find the equivalent ratio for the total shapes:

Total Black Shapes : Total White Shapes = 5 : 11

Multiply by 2:

Total Black Shapes: Total White Shapes = 10 : 22

Find the ratio for the white shapes:

White circles : White squares = 3 : 7

Sum of the units = 3 + 7

Sum of the units = 10

Find the equivalent ratio for the total shapes:

Black circles : Black squares = 3 : 8

Multiply by 2:

Black circles : Black squares = 6 : 16

Sum of the units = 6 + 16

Sum of the units = 22

Combine the ratios:

white circles : white squares : black circles : black square = 3 : 7 : 6 : 16

Circles = 3 + 6

Circles = 9 units

Total = 3 + 7 + 6 + 16

Total = 32 units

Find the fraction of all the shapes that are circles:

Fraction = 9/32

Learn more about ratio

brainly.com/question/13419413

#SPJ9

One possible example is the function \(f(x) = (x+1)(x-2)^{2}(x-3)^{2}\), which has roots at x = -1 and x = 2, but whose derivative \(f'(x) = 2(x-2)(x-3)(3x^2-10x+7)\) has roots at x = 1, \(x = 2 - \sqrt(2)\),\(x = 2 + \sqrt(2)\), x = 5/3, and x = 7/3.

To construct such an example, we need a function whose roots are simple and occur at two distinct points, and whose derivative has multiple roots. One way to do this is to take a function that has multiple roots of high multiplicity, and then perturb it so that some of those roots split into simple roots.

In the example given, we start with the function \(f(x) = (x+1)(x-2)^4(x-3)^4\), which has roots at x = -1, x = 2, and x = 3, each with multiplicity 4. We then perturb the function slightly by replacing one of the factors \((x-2)^4\) with \((x-2)^2\), so that the root at x = 2 splits into two simple roots. This gives us the function \(f(x) = (x+1)(x-2)^2(x-3)^4\), which has roots at x = -1 and x = 2, but whose derivative \(f'(x) = 2(x-2)(x-3)^3(3x-10)\) has five roots, as stated above.

Learn more about derivative here:

https://brainly.com/question/29144258

#SPJ11

Answer:

relationship between base and perpendicular is given by tan angle

tan angle = perpendicular/base

tan angle =21/41

angle =tan -¹(21/41)=27

Answer:

27

Step-by-step explanation:

In a right angle triangle, the tan is defined as opposite side / adjacent side of the reference angle

The reference angle is ?

The opposite side is 21

The adjacent side is 41

Tan(?) = 21/41

Tan(?) = 0.5122

? = tan-1(0.5122)

? = 27.12 rounded to the nearest degree = 27

Answer:

x=3

Step-by-step explanation:

i just know

Answer:

  yes

Step-by-step explanation:

You want a graph of P = 125 +50W.

The given equation is in slope-intercept form. The independent variable is W, and the dependent variable is P.

Usually, the independent variable is graphed on the horizontal axis, which you have done.

The dependent variable is graphed on the vertical axis, which you have done.

The axes are correctly labeled and graduated.

The "y-intercept" (P value) when the independent variable is zero is the constant in the equation, 125. You have correctly shown that on the graph.

The slope of the line is the coefficient of the independent variable (W) in the equation. You have correctly shown that P increases by 50 when W increases by 1.

Yes, you properly graphed the equation.

<95141404393>

The two triangles called congruent if two sides the associated angle in one triangle is congruent with two sides and the contained angle in the other triangle.

According to the Side-Angle-Side theorem of congruency, two sides and the angle they produce are congruent if they are equivalent to two sides as well as the angle of another triangle.

Thus, two triangles are termed to be comparable if their two sides are in the same ratio as the two sides of some other triangle and their two sides' angles inscribed in both triangles are equal.

To know more about the Side-Angle-Side (SAS), here

https://brainly.com/question/22472034

#SPJ4

Answer:

Step-by-step explanation:

Let Cyril = C

Let Alex = A

A + C = 50                (1)

A+5 = 4*C                 (2)

Solve (1) for A

A + C = 50                  Solve for A

A + C-C = 50 - C

A = 50 - C

Substitute A into (2)

50 - C + 5 = 4C         Add C to Both sides

50 + 5 = 4C + C        Combine

55 = 5C                     Divide by 5

55/5 = 5C/5

C = 11

A + C = 50               Substitute for C

A + 11 = 50               Subtract 11 from both sides

A = 50 - 11

A = 39

Answer: In summary, all integers can be classified as either positive, negative, or zero.

Step-by-step explanation:

There are three types of integers: positive integers, negative integers, and zero.

Positive integers: Positive integers are numbers greater than zero, such as 1, 2, 3, 4, and so on.

Negative integers: Negative integers are numbers less than zero, such as -1, -2, -3, -4, and so on.

Zero: Zero is an integer that is neither positive nor negative. It is the only integer that is neither positive nor negative, and it is often referred to as the "origin" on a number line.

In summary, all integers can be classified as either positive, negative, or zero.

Answer: The three types of integers are Zero (Neutral Integers), Negative Integers, and Positive Integers.

Step-by-step explanation:

Negative Integers are the ones that has a value less than zero, examples of these are -7, -8, -9.

Positive integers, on the other hand. Are the ones that has a value more than zero, examples of these are 10, 11, 12, 13.

Note: The key difference between Negative Integers and Positive Integers is that a negative integer has a "-" sign, while a positive integer does not.

Zero are the neutral integers which means that it's the integer that's in the middle of the positive and negative integers, it has neither a positive sign or a negative sign.

Another note: Integers do not include fractions or decimals, only whole numbers.

Yes, your friend is not correct about the stem and leaf plot.

The stem and leaf plot made by your friend is:

Stem | Leaves

2 | 5, 6

4 | 2, 4, 7

5 | 0, 1, 5, 5

Key : 4 | 2 = 42

When the data points from these are taken, we have :

25 , 26 , 42 , 44 , 47 , 50, 51, 55, 55

This is the same as the data provided of :

51, 25, 47, 42, 55, 26, 50, 44, 55

So, your friend's stem and leaf plot is indeed correct.

Find out more on stem and leaf plots at https://brainly.com/question/8649311

#SPJ1

Below are some authorial techniques that can be used to create mystery, tension, or surprise in literature.

Order of events: The order in which events are presented can create a sense of mystery or suspense.

Pacing: The pace of a story can also be used to create suspense. A slow-paced story can build tension by allowing the reader to dwell on the details of a situation, while a fast-paced story can create excitement and surprise by keeping the reader guessing what will happen next.

Structure: The structure of a story can also be used to create mystery, tension, or surprise. For example, a story that is told in flashback can create a sense of mystery by revealing information about the past that is relevant to the present.

Time manipulation: The manipulation of time can also be used to create suspense.

Language: The language that an author uses can also be used to create mystery, tension, or surprise. For example, an author might use vague or ambiguous language to create a sense of mystery, or use strong language to create a sense of tension or surprise.

Learn more about structures on

https://brainly.com/question/20848481

#SPJ1

The total amount of money two friends had is $3430.

What is ratio?

When two numbers are compared, the ratio between them shows how often the first number contains the second. As an illustration, the ratio of oranges to lemons in a dish of fruit is 8:6 if there are 8 oranges and 6 lemons present.

Here the ratio of the money of friends = 4:3.

Let us take shares of money as 4x and 3x.

Here larger amount  4x=R1960

=> 4x=1960

=> x= 1960/4= $490

Then Total amount = 4x+3x=7x

=> Total amount = 7*490=$3430

Hence the total amount of money two friends had is $3430.

To learn more about ratio refer the below link

https://brainly.com/question/12024093

#SPJ1

Answer:

n=10.3

3n-30.9=0

Step-by-step explanation:

Answer:

n= -10.3

Step-by-step explanation: I took the test

The interval of convergence is from (a - b) to (a + b), where b is a positive number.

1.  The radius of convergence R is given by the formula R = 1/|b|.

2.  The interval of convergence is given by the formula (a - b, a + b).

The radius of convergence R of a series is a measure of how quickly the series converges. It is calculated by taking the inverse of the coefficient of the term with the highest power of the variable in the series. In this case, the coefficient of the highest power of the variable is b, so the radius of convergence is 1/|b|.

The interval of convergence is the region in which the series converges. It is determined by the coefficient of the term with the highest power of the variable in the series. In this case, the coefficient of the highest power of the variable is b, so the interval of convergence is (a - b, a + b). This means that the series converges for values of x in the range from (a - b) to (a + b).

Learn more about interval here

https://brainly.com/question/24131141

#SPJ4

Answer:

Step-by-step explanation:

1. 7x+7

2. 2y+5

Not sure about 3 or 4

5. 11x

6.5x+7

7.10x-9y

8. 5x+5y

Not sure about 9

10. 4x+4

Answer:

7x+7

2y+5

6x^2+3y

5a^3+4a^2+3a (This one is the same because none of the terms are alike)

11x

5x+7

10x-9y

5x+5y

x^2+6x

4x+4

Step-by-step explanation:

Combine like terms for all of these, meaning adding or subtracting anything that has the same variable or power of a variable attached to it.

As per the concept of fraction, we can express 8 feet as 2 ²/₃ yards.

The term fraction refers to the numerical values which are a part of the whole.

8 feet can be expressed in another way.

In order to convert to a yard measurement, we divide the length by the conversion ratio.

Here we know that 1 yard = 3 feet

=> yards = feet ÷ 3

Here we have calculated the measurement of 8 feet.

So, the equivalent yard measurement is expressed as,

=> yards = 8/3

When we convert it into mixed fraction form,  we get,

=> 2 ²/₃ yards.

Read more about fractions:

https://brainly.com/question/78672

#SPJ4

The complete question is:

F) 2*1/3 yards G) 2*1/2 yards H )2*2/3 yards J )2*3/4 yards. A clothesline rope is 8 feet long. Which of these is another way to express 8 feet? answer choices -A/FB/GC/HD/J

Answer:

A = $6,625.00

Step-by-step explanation:

A = P(1 + rt)

A = 5000(1 + (0.065 × 5)) = 6625

If you are comparing the number of males and females in a population to see if they are evenly distributed, you would use a chi-square test for goodness of fit.

The correct chi-square test to be used in a given setting is determined by the type of data you have and the research question you are trying to answer.

Here are the appropriate chi-square tests for the following settings:

Goodness-of-fit test: This is used when you want to test whether an observed distribution of categorical data fits a theoretical distribution or expected frequencies.

This test is also known as the chi-square test for homogeneity.

Test of independence: This is used to determine whether there is a relationship between two categorical variables. This test is also known as the chi-square test for association.

Test of homogeneity: This is used when you want to determine whether two or more populations have the same proportion of a categorical outcome variable.

This test is also known as the chi-square test for goodness of fit.

Test of goodness of fit: This is used to determine whether the observed frequencies of a categorical variable are different from the expected frequencies.

This test is also known as the chi-square test for homogeneity.

For example, if you are comparing two different groups of people to see if there is a relationship between their age and smoking habits, you would use a chi-square test for independence.

However, if you are comparing the number of males and females in a population to see if they are evenly distributed, you would use a chi-square test for goodness of fit.

Know more about the chi-square test here:

https://brainly.com/question/4543358

#SPJ11

Answer:

8 ÷ 2 (2+2)

Step-by-step explanation:

im smart

When a study's findings are highly valid, it means that they accurately reflect the genuine features, traits, and variations in the physical or social reality. The measure of frequency of drinking and driving is: reliable but not valid.

This option contends that although the survey's measure was not valid, it was dependable. This happens when research is constructed in a consistent but ineffective manner. In this instance, a sample of young people from a small town was taken into account; however, despite its consistency and reliability, it does not accurately reflect the findings of data from police records.

How well a method measures what it is supposed to measure is known as its validity. When a study's findings exists highly valid, it indicates that they accurately reflect the genuine features, traits, and variations in the physical or social reality. High dependability exists one sign of a valid measurement.

To learn more about driving refer to:

https://brainly.com/question/13208171

#SPJ4

Answer:

The answer is RANGE

Step-by-step explanation:

Hi, I hope this helps, didn't see the answer so I guessed and it was correct!

Answer:

4/7

Step-by-step explanation:

32/56 = 4/7

Answer:

x = 4

Step-by-step explanation:

\(\frac{32}{56} = \frac{x}{7}\\\\\frac{32}{56}*7 = x\\\\\frac{32}{8} = x \\\\4 = x\)

The number of ways to choose 5 people from a total of 15 people is given by 15C5. This can be calculated as follows:15C5 = (15!)/((15-5)! * 5!) = (15 * 14 * 13 * 12 * 11)/(5 * 4 * 3 * 2 * 1) = 3003Therefore, there are 3003 ways to select a committee of 5 people from the group of 15 people. The probability of selecting any given committee is 1/3003.

There are a total of 15 people in the group. A committee of size 5 is to be chosen from a group of 7 men and 8 women randomly. Therefore, the sample space for this situation is 15C5 ways to choose 5 people from a total of 15 people. 15C5 = 3003 ways. That means there are 3003 ways to select 5 people from the group of 15 people. The probability of selecting any given committee is 1/3003. That means the probability of selecting any one committee out of 3003 committees is 1/3003.To compute the probability of selecting any given committee, we first need to determine how many possible committees can be formed from the group of 15 people. The number of ways to choose 5 people from a total of 15 people is given by 15C5. This can be calculated as follows:15C5 = (15!)/((15-5)! * 5!) = (15 * 14 * 13 * 12 * 11)/(5 * 4 * 3 * 2 * 1) = 3003Therefore, there are 3003 ways to select a committee of 5 people from the group of 15 people. The probability of selecting any given committee is 1/3003.

Learn more about probability here:

https://brainly.com/question/31828911

#SPJ11

When the quadrilateral ABCD is rotated 180° counterclockwise about the origin, the coordinates of D' are C: (-6, 3).

The coordinates of the vertices of the quadrilateral ABCD are (7, -7), (4, -10), (1.5, -2.5), and (6, -3), respectively. In case the quadrilateral ABCD is rotated 180° counterclockwise about the origin, then according to the rule for the rotation of point (x, y) by 180° (x, y) changes into (-x, -y).

Thus, by applying this rule, the coordinates of D' become (-6, 3).

i.e. D(6, -3) → D'(-6, 3)

You can learn more about rule of the counterclockwise rotation at

https://brainly.com/question/21850160

#SPJ4

2x-3=7

The answer would be 5.

Answer:

x=5

Step-by-step explanation:

2x−3=7

Add 3 to both sides.

2x=7+3

Add 7 and 3 to get 10.

2x=10

Divide both sides by 2.

x=10/2

Divide 10 by 2 to get 5.

x=5

Answer:

see below

Step-by-step explanation:

(x + 1.5)² - 2.25 - 28 = 0

(x + 1.5)² - 30.25 = 0

(x + 1.5)² = 30.25

Answer:

v>8

Step-by-step explanation:

He already has 35 points.

55-35=20

He needs 20 more points and each visit is 2.5 points.

20/2.5=8

He needs at least 8 visits to earn his first free movie ticket.