100 POINTS PLEASE ANSWER QUICK
Use the box plot below to answer the questions.

Part A: Estimate the IQR for the male data.

Part B: Estimate the difference between the median values of each data set.

Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each.

Answers

Answer 1

The median is a better measure of center for the male's data, while the mean is a better for the female's data.

What are quartiles?

When we get data which can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.

Quartiles are then selected as 3 points such that they create four groups in the data, each groups approximately possessing 25% of the data.

(a) The IQR of the male's data

From the given male's boxplot, we have the following data elements;

Upper quartile (Q3) = 14

Lower quartile (Q1) = 2

Then the IQR is calculated as:

IQR = Q3 - Q1

So, we have:

IQR = 14 - 2

IQR = 12

Hence, the IQR for the given males' data is 12

(b) The difference between the median values can be calculated as;

Median of male's data = 14

Median of female's data = 9

The difference (d) between the median values is;

d = 14 - 9

d = 5

Hence, the difference between the median values of each data set is 5

It is found that the median is a better measure of center for the male's data, while the mean is a better measure of center for the female's data.

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Answer 2

The median is a better measure of center for the male's data, while the mean is a better for the female's data.

What are quartiles?

When we get data which can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.

Quartiles are then selected as 3 points such that they create four groups in the data, each groups approximately possessing 25% of the data.

(a) The IQR of the male's data

From the given male's boxplot, we have the following data elements;

Upper quartile (Q3) = 14

Lower quartile (Q1) = 2

Then the IQR is calculated as:

IQR = Q3 - Q1

So, we have:

IQR = 14 - 2

IQR = 12

Hence, the IQR for the given males' data is 12

(b) The difference between the median values can be calculated as;

Median of male's data = 14

Median of female's data = 9

The difference (d) between the median values is;

d = 14 - 9

d = 5

Hence, the difference between the median values of each data set is 5

(c) The distribution of data

It is found that the median is a better measure of center for the male's data, while the mean is a better measure of center for the female's data.

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Related Questions

If a company decides to hire more employees, then its
a. total variable cost and total cost will increase, but its total fixed cost will not change.
b. total fixed cost will increase, its total variable cost will decrease, and thus its total cost will not change.
c. total cost will increase, and its total fixed cost and total variable cost will decrease.
d. total cost will increase and total fixed cost will decrease, thus its total variable cost will not change.

Answers

If a company decides to hire more employees, then its:(a).total variable cost and total cost will increase, but its total fixed cost will not change

What is the behavior of fixed and variable costs?

The fixed cost remains the same over a reasonable range of output whereas the variable cost is the cost that increases as output increases, such as the cost of raw materials, the more output produced, more materials would be needed.

In short, the variable increase would make the total cost, the sum of fixed cost and variable cost, to increase, so hiring more employees, would increase variable cost and total cost only.

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given f(x)=3(4-x) what is the value of f(-2)

Answers

Answer : f = -9

Explanation:
f(x) = 3(4-x)
f(-2) = 3(4-(-2))
f(-2) = 3(4 + 2)
f(-2) = 3(6)
f(-2) = 18
-2/-2 = 18/-2
f = -9

At the city museum, child admission is $5.50 and adult admission is $9.60. On Saturday, four times as many adult tickets as child tickets were sold, for a total
sales of $1141.40. How many child tickets were sold that day?
Number of child tickets:0
5

Answers

The number of child tickets sold that day were 26.

Here, we are given that the fees for admission into the museum is as follows-

Child admission = $5.50

Adult admission = $9.60

Let the number of children admitted on Saturday be x

then the number of adults admitted that day = 4x

Now, the total money from sale of children tickets = $5.50x

the total money from sale of adult tickets = $9.6 × 4x = $38.4x

The total money from sale of tickets = $1141.40

⇒ 5.50x + 38.4x = 1141.40

43.9x = 1141.40

x = 1141.40/ 43.9

x = 26

Thus, the number of child tickets sold that day were 26.

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What two "rules" govern sets, and what do they imply about the nature of sets?

Answers

Two of some of the rules that govern set are:

Universality: This implies all the elements in the setintersection: This means similar elements between sets compared

What is universal set?

The term universal set is used in set to refer to all the elements in the set that is determined, This means that any other set has their elements in the universal set, hence other sets are members of the universal set. The universal set is the set from which other sets are generated from.

What is intersect in set?

Intersect as used in set refers to elements that can be seen in two or more sets that are being compared. If two sets has no intersection, then then do not have elements alike,

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If m angle A=5x +29 then what is the smallest integer value of x for which angle A would be classified as obtuse

Answers

The smallest integer value of x for which angle A would be classified as obtuse is 14°

What is an obtuse angle?

An obtuse angle can be defined as an angle that is greater than 90 degrees.

This can be expressed as;

Obtuse angle > x > 90°

Given the angle as A = 5x +29

Let's assume that the value of the obtuse angle is 99 which is greater than 90 degrees.

Now, we have to equate the expression for angle A to 91 degrees.

We have;

5x + 29 = 99

collect like terms

5x = 99 - 29

subtract like terms

5x = 70

To make 'x' the subject, divide both sides by the coefficient of x

5x/5 = 70/5

x = 14°

Thus, the smallest integer value of x for which angle A would be classified as obtuse is 14°

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in Zoe's class, 4/5 of the students have pets. Of the students who have pets, 5/8 have rodents. what fraction of the students in Zoe's class have pets that are rodents?

Answers

Answer:

1/2

Step-by-step explanation:

5/8 students of the 4/5 students have rodents. The word "of" tells us to multiply. 5/8 * 4/5 is equal to 5*4/8*5, which is 20/40 and therefore simplifies to 1/2.

Bob Ross bought a Blackberry on the Web for $90.49. He saw the same Blackberry in the mall for $120.21. How much did Bob save by buying on the Web?

Note: Round your answer to the nearest cent.

Answers

Answer:

$29.72

Step-by-step explanation:

$120.21-$90.49=$29.72

Katrina practices violin 4 times per week for 2/3 hour each time.Jeremy practices guitar for 3 times per week for 45 minutes each time.who practices more each week?how much more?

Answers

Katrina practices violin per week more than Jeremy by 25 minutes.

How is the practice time determined?

The practice time can be determined by converting the fractional hours to minutes for each practice so that like is compared to like.

Converting 2/3 hours gives 40 minutes.

Ordinarily, Jeremy spends more time each time than Katrina. However, Katrina adds an additional practice time, which heightens her total practice time each week.

Data and Calculations:

The number of times that Katrina practices per week = 4 times

The time she practices each time = 2/3 hours or 40 minutes (2/3 x 60)

The total time she practices each week = 160 minutes (40 x 4)

The number of times that Jeremy practices per week = 3 times

The time he practices each time = 45 minutes or 3/4 hours

The total time he practices each week = 135 minutes (45 x 3)

The difference in practice time per week = 25 minutes (160 - 135)

Katrina Jeremy

Number of practices times 4 3

Minutes practiced (2/3 hours) 40 min 45 minutes

Total practice time 160 min 135 min

Thus, we can conclude that Katrina practices violin per week more than Jeremy by 25 minutes.

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Pls Helppp need it now

Answers

Answer:

down one over two( point on -8 then down one over two

Step-by-step explanation:

this might be the right answer please let me know

TASK CARD 17
Half of a number increased by six is
15. What is the number?

Answers

The number is 18

Let x be the number

Half of a number = x/2

Half of a number is increased by 6 = x/2 + 6

Half of a number increased by 6 is 15 = x/2 + 6 = 15

Algebra: The area of mathematics known as algebra aids in the representation of circumstances or problems as mathematical expressions. To create a meaningful mathematical expression, it takes variables like x, y, and z together with mathematical operations like addition, subtraction, multiplication, and division.

Solving the equation we get:

= (x + 12)/2 = 15

= x + 12 = 30

x = 18

Hence, the number is 18

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Ahmad and Dante wash cars in the neighborhood and charge $5 per car. Last year, they worked very hard and were able to wash 450 cars in the year. They have done a little market research and found that for every $0.20 that the price is reduced, they can get 50 more customers.

How much did Ahmad and Dante earn last year?

Answers

The amount earned by Ahmad and Dante as at last year as required in the task content is; $2,250.

In order words, the total amount of money which was both earned by Ahmad and Dante is $2,250.

What is the amount earned by Ahmad and Dante last year according to the task content?

It follows from the task content that the amount earned by Ahmad and Dante last year is to be determined.

Since, the charge was still $5 per car last year and the washed 450 cars.

Their total earnings last year is therefore;

= 450 × $5

= $2,250.

Ultimately, they earned $2,250 last year from washing cars.

Answers

Answer:

thanks bro bro

Step-by-step explanation:

anyways you gotta to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times

to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times

My bill is normally $90 but has gone up to $108 what is the percentage it went up by

Answers

Answer:

it went up 20%

Step-by-step explanation:

WHats this-2 1/6+(-2/3)

Answers

its 150/230, again the answer is -709/216

again the answer is -377/008. alright hope I helped you out with your question you have stated.

3. Bryan spent $13.00 of the $25.00 he got for his birthday. What decimal represents the fraction of birthday money Bryan spent?

Answers

Answer: 0.52

===================================================

Explanation:

Use your calculator to type in either 13/52 or 13 ÷ 52

The calculator should display 0.52 as the answer. The decimal 0.52 converts to 52%

The steps for the long division are shown below.

Please help I can’t solve 14,15,16

Answers

Answer:

chcicken

Step-by-step explanation:

Find the length indicated FIND IK HELP

Answers

Answer:

Here is the answer, let me know if I did it wrong.

Answer:

IK = 13 and x = - 12

Step-by-step explanation:

Let's write down each segment and if available express it in terms of x which has to be determined in order to find length of segment IK

We have IK = x + 25 (to be determined)

JK = 2x + 30 (1)

KL (unknown)

IL = x + 34 (2)

JL = 15 (3)

The entire segment

IL = IJ + JL

Substituting for JL = 15 we get IL = IJ + 15

But we are given IL = x + 34

IJ + 15 = x + 34

IJ = x + 34 -15 = x + 19 (4)

IK = IJ + JK

Substituting for IJ = x + 19 from equation (4) and JK = 2x + 30 from equation (1) we get IJ + IK = x + 19 + 2x + 30 = 3x + 49

But we are given that IK = x + 25

3x + 49 = x + 25

Moving x from the RHS to the LHS and 49 from the LHS to the RHS we get

3x-x = 25 - 49

2x = -24

x = -12

IK = -12 + 25 = 13

We can verify this by finding the lengths of each segment and seeing they are consistent

We have

IJ = x + 19 = -12 + 19 = 7

JK = 2x + 30 = 2(-12) + 30 = -24 + 30 = 6

IL = x + 34 = -12 + 34 = -23

We also have the fact that JK + KL = JL = 15

Substituting for JK we get

6 + KL = 15

KL = 15-6=9

Total segment length = 7+6 + 9 = 22

x + 34 = -12 + 34 = 22

So it is consistent

14 less than the product of two and number 16

Answers

Answer:

Step-by-step explanation:

(2 x 16) - 14 = 32 - 14 = 18

Sacha picked some apples from a tree in her garden. She then gave some to her friends. To her
first friend, she gave half the apples she had, plus 2 more. To her second friend, she gave half the apples she had left, plus 2 more. And she did the same thing for her third friend. After giving away all these apples, she had 1 apple left. Find how many apples she originally pick from the tree.

Answers

Step-by-step explanation:

x = apples picked from the tree

x1 = x/2 + 2

x2 = (x - x1)/2 + 2 = (x - (x/2 + 2))/2 + 2 =

= (x - x/2 - 2)/2 + 2 = (x/2 - 2)/2 + 2 =

= x/4 - 1 + 2 = x/4 + 1

x3 = (x - x1 - x2)/2 + 2 = (x - (x/2 + 2) - (x/4 + 1))/2 + 2 =

= (x - x/2 - 2 - x/4 - 1)/2 + 2 =

= (x/4 - 3)/2 + 2 = x/8 - 3/2 + 2 = x/8 + 1/2

x - x1 - x2 - x3 = 1

x - x/2 - 2 - x/4 - 1 - x/8 - 1/2 = 1

x/8 - 3 - 1/2 = 1

x/8 = 4 1/2 = 9/2

x = 9×8/2 = 9×4 = 36

she had originally 36 apples

x1 = 20

x2 = 10

x3 = 5

Help me on this question please.

Answers

Answer:

67.5

Step-by-step explanation:

Hope this Helps! Be sure to study this so you get it you really just need to subract!

Which point is a reflection of Z (5 1/2, 3) across the x-axis

Answers

The reflection of Z (5 1/2, 3) across the x-axis is (5 1/2, -3).

Here,

The given point is Z (5 1/2, 3).

We have to find the point of reflection of Z (5 1/2, 3) across the x-axis.

What is Reflection across x-axis?

A point after reflection across the x-axis, the x- coordinate remains the same but y - coordinate is taken to be the additive inverse.

Now,

Since, The given point Z (5 1/2, 3) is lie on first coordinate.

Hence, The reflection of the point Z (5 1/2, 3) is lie on the third coordinate.

And, In the third coordinate the x-coordinate is positive and y-coordinate is negative.

Since, The rule of the reflection across x- axis is,

(x, y) → (x, -y)

So, The reflection of the point Z (5 1/2, 3) across the x - axis = (5 1/2, -3)

Therefore, The reflection of Z (5 1/2, 3) across the x-axis is (5 1/2, -3).

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tbh only answer if you are the user "beinggreat78" I dont trust the rest of yall

Answers

Answer:

hi ik you dont trust me however id like to say that the answer is A. 41.6

Step-by-step explanation:

hope this helps <3 (also i put this into a calculator to double check my work and it was still 41.6)

Answer:

41.6

Step-by-step explanation:

Move the decimal 1 place to the right according to the laws of exponents.

since the exponent is 1, that's why we move it 1 place right. if the exponent was -1, it would go to the left, and the number would become "0.416".

Find the coordinates of the point 3/10
of the way from A to B.

Answers

The coordinates of the point 3/10 of the way from a to b is (-0.3, -6.3)

How to determine the coordinates of the point?

The given parameters are:

the coordinates of b is (9,7) the coordinates of a is (-4,-6)

The position of the point is given as:

Location = 3/10

Express as ratio

m ; n = 3 : 10 - 3

This gives

m ; n = 3 : 7

The coordinates of the point are then calculated as:

Point = Location * (mx2 + nx1, my2 + ny1)

This gives

Point = 3/10 * (3 * 9 + 7 * -4, 3 * 7 + 7 * -6)

Evaluate

Point = 3/10 * (-1, -21)

This gives

Point = (-0.3, -6.3)

Hence, the coordinates of the point 3/10 of the way from a to b is (-0.3, -6.3)

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Complete question

find the coordinates of the point 3/10 of the way from a to b

the coordinates of b is (9,7)

the coordinates of a is (-4,-6)

If Rachel were to paint her living room alone, it would take 2 hours. Her sister Fran could do the job in 5 hours. How many hours would it take them working together?
Express your answer as a fraction reduced to lowest terms, if needed.

Answers

Rachel and her sister Fran together can paint the living room in [tex]\frac{10}{7}[/tex] hours

Given that

Rachel can paint half of the living room in 1 hour

Fran can paint [tex]\frac{1}{5}[/tex]th part of the living room in 1 hour

Let's assume together they paint the living room in x hours

⇒ together they can paint [tex]\frac{1}{x}[/tex]th part of the living room in 1 hour

By proportions,

⇒[tex]\frac{1}{2}[/tex]+[tex]\frac{1}{5}[/tex]= [tex]\frac{1}{x}[/tex] {using operation proportions and addition}

⇒[tex]\frac{7}{10}[/tex]=[tex]\frac{1}{x}[/tex]

⇒x=[tex]\frac{10}{7}[/tex]

⇒ together they can paint [tex]\frac{7}{10}[/tex]th part of the living room in 1 hour

It means, Rachel and her sister Fran together can paint the living room in [tex]\frac{10}{7}[/tex] hours

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Round to the nearest given place.
1.80949 thousandths

Answers

Answer:

1.809

Step-by-step explanation:

Beacuse 4 is less than 5, the number round down.

I think the answer is 1.809 though im not sure

How many integers a satisfies |2a+7|+|2a−1] =8?

Answers

Answer:

Step-by-step explanation:

Does the given matrix, A, have an inverse? If it does, what is A-¹? (1 point)

Answers

The inverse of a matrix A is A^-1. And I, the identity matrix, is equal to A.A^-1.

The square matrix needs to be non-singular and have a non-zero determinant value in order to get the inverse matrix. Let's think about the 2 x 2 square matrix A.

Inverse of matrix:

A^(-1)=Adj A/|A|

A-1 stands for Inverse of Matrix for matrix A. There is a straightforward formula for calculating the inverse of a 2 × 2 matrix. In order to find the inverse of a matrix of order 3 or higher, we also need to be aware of the matrix's determinant and adjoint. When multiplied by the provided matrix, the other matrix that serves as the inverse of that matrix yields the multiplicative identity.

There are two ways to find a matrix's inverse. Through the use of an adjoint of a matrix and simple processes, it is possible to derive the inverse of a matrix. Row or column transformations can be used to carry out the basic operations on a matrix. Additionally, the adjoint and determinant of the matrix can be used to apply the inverse of matrix formula in order to get the inverse of a matrix.

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Determine the percent change in the price of an item that was selling for $230.00 last
year, and is being sold for $184.00 this year.

Answers

230 - 184 = 46/230 = 0.2 x 100 = -20%

A spaceship has a mass of 9000kg. The spaceship is launched from Earth and lands on a distant planet, where it has a gravity of 25 m/s2. What is the weight?

Answers

The weight of the spaceship that has a mass of 9000kg is 22936kg.

How to illustrate the information?

It should be noted that the mass in a body simply means the measure of the quantity if the matter that the body has.

It should be noted that it is also the body of the inertia.

In this case, the spaceship has a mass of 9000kg. The spaceship is launched from Earth and lands on a distant planet, where it has a gravity of 25 m/s². Therefore, the weight will be:

= 9000 /9.81 × 25

= 22936kg

Therefore, the weight of the spaceship that has a mass of 9000kg is 22936kg.

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Multiply the fractions. Select the answer that is in simplest form.
5x1 1/9

Answers

The product of the numbers 5 and [tex]1 \frac{1}{9}[/tex] will be equal to the fractional number 50/9.

What is multiplication?

It is also known as the product. If the object n is given to m times then we just simply multiply them.

The numbers are given below.

5 and [tex]1 \frac{1}{9}[/tex]

The product of the numbers 5 and [tex]1 \frac{1}{9}[/tex] will be

[tex]\rightarrow 5 \times 1 \dfrac{1}{9}[/tex]

⇒ 5 x 10 / 9

⇒ 50/9

The product of the numbers 5 and [tex]1 \frac{1}{9}[/tex] will be equal to the fractional number 50/9.

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