Using the data in the table, which statement is true?

Using The Data In The Table, Which Statement Is True?

Answers

Answer 1

Answer:  Choice C.  mean > median

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

Explanation:

Multiply each measure with their corresponding frequency.

8*1 = 810*3 = 3014*2 = 28

Add up those products: 8+30+28 = 66

Then divide by the total frequency n = 1+3+2 = 6 to get 66/6 = 11 as the mean.

mean = 11

----------------

Since we have n = 6 values in this list, this means the median is between slot n/2 = 6/2 = 3 and slot 4.

Note how that places us in the middle row because 1+3 = 4 encapsulates both of those slots mentioned. So the median is 10.

Or you could list out the values in roster notation {8, 10, 10, 10, 14, 14} to see that {10,10} occupy the middle most slots. So the median is (10+10)/2 = 20/2 = 10.

median = 10

-----------------

The mode is simply the most frequent value. The table shows that mode = 10 since it occurs 3 times, compared to 8 showing up 1 time and 14 showing up twice.

-----------------

We have the following summary

mean = 11median = 10mode = 10

With that in mind, let's go through the answer choices.

We can see that mean < mode is false, since it should be mean > median, so cross choice A off the list.mean = median is also false, so choice B is crossed off as well.mean > median is true since 11 > 10 is true. Choice C is the answer. Note how this being true directly contradicts choice B, which is another reason to see why choice B is false.median > mode is false because 10 > 10 is false. It should be median = mode. Choice D is crossed off the list.

Related Questions

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Data should be analyzed using each of the following except:
A. measures of central tendency
B. shape
C. population size
D. spread

Answers

The answer seems to be d

Inverse proportion

it takes 3 hrs for two people to clean six identical rooms.

how long would it take 5 people to clean 20 of the same rooms at the same k rate

i know answer need explan.

Answers

Answer:

Hello,

4 hours

Step-by-step explanation:

Let say w the work clean one room.

h the number of hours worked

p the number of people who works

k is a constant

6w=k*h*p

3 h, 2 p==> 6w

6w=k*3*2 ==> k=w

5 p, 20 w ==>

20w=k*h*p

20w=w*h*5

20=h*5

h=20/5

h=4

It will take 4 hours.

Melissa will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of 59 and costs an additional 0.15 per mile driven. The second plan has an initial fee of 50 and costs an additional 0.20 per mile driven. For what amount of driving do the two plans cost the same? What is the cost when the two plans cost the same?

Answers

Answer:

Step-by-step explanation:

Let

x = cost per mile

y = Total cost

Plan 1:

y = 59 + 0.15x

Plan 2:

y = 50 + 0.20x

Equate the total cost of the two plans

59 + 0.15x = 50 + 0.20x

59 - 50 = 0.20x - 0.15x

9 = 0.05x

x = 9/0.05

= 180

x = 180 miles

y = 50 + 0.20x

= 50 + 0.20(180)

= 50 + 36

= 86

y = 86

[tex]\frac{3}{2x}[/tex]-[tex]\frac{11}{5}[/tex]=[tex]\frac{7}{8}[/tex].[tex]\frac{64}{49}[/tex]

Answers

Answer:

x=35/78

Step-by-step explanation:

3/2x-11/5=(7/8)*(64/49)

3/2x-11/5=8/7

3/2x=8/7+11/5

3/2x=117/35

x=(35*3)/(2*117)

x=35/78

The perimeter of a rectangle is given by the formula P=2w+2l,where w is the width and l is the length.Rearrange the formula for the length ( ).

Answers

Answer:

l = (p - 2w)/2

Step-by-step explanation:

Two sides of a right triangle measure 5 inches and 6 nches, and the third side measures 61 inches.
The length of the third side is about
inches _ . The perimeter of the triangle is about
inches. __

Answers

Answer:

The length of the third side is 7.81 inches and the perimeter of the triangle is about 18.81 inches

Step-by-step explanation:

a(b^2+c^2+bc) + b(c^2+a^2+ca) + c(a^2+b^2+ab)

Answers

Answer:

(a-b)(b-c)(a-c)

Step-by-step explanation:

a^2(b - c) + b^2(c-a) + c^2(a - b)

= a^2b - a^2c + b^2c - b^2a + c^2a-c^2b

=a^2b - b^2a - a^2c + b^2c + c^2a -c^2b

= ab(a - b) - c(a^2 - b^2) +c^2(a - b)

=ab(a - b) -c(a - b)(a + b) +c^2(a - b)

=(a - b)(ab - c(a + b) +c^2)

=(a - b)(ab - cb -ca + c^2)

= (a - b)(b(a-c) -c(a-c))

=(a-b)(b-c)(a-c)

Write an equation of the graph (shown below) in slope intercept form.

Answers

Answer:

Step-by-step explanation:

Okay! so first, let's specify the components of a slope intercept form equation.

We got y=mx+b as a general formula, where m is slope and b is the y intercept.

The graph gives us two points on the line at (0, 5) and (-6, 7)

To find slope, we can use this slope equation. I suggest you memorize it-it helps a lot with future problems!

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]

Plugging in the points into the equation, we get 2/-6, or -1/3

we really don't need to do much work anymore, since the choices are given. There is only one choice left with -1/3 as slope m, which is D.

The y intercept can be found at wherever the line intersects the y axis. In this line, it crosses 5, which means b=5.

y=mx+b

y=-1/3x+5

Evelyn earned a score of 86 on Exam A that had a mean of 71 and a standard deviation of 20. She is about to take Exam B that has a mean of 550 and a standard deviation of 40. How well must Evelyn score on Exam B in order to do equivalently well as she did on Exam A? Assume that scores on each exam are normally distributed.

Answers

Answer:

580

Step-by-step explanation:

Assuming that the answer should be in terms of z scores, we can calculate the z score as

z = (observed value - mean)/(standard deviation)

For the first exam, the observed value is 86, the mean is 71, and the standard deviation is 20. The z score fot that exam is

z = (86-71)/20 = 0.75

Then, for the second exam, Evelyn has to do equivalently well, so the z score must be the same. Therefore, we have

0.75 = (observed score - 550)/40

multiply both sides by 40 to remove a denominator

0.75 * 40 = observed score - 550

add 550 to both sides to isolate the observed score

0.75 * 40 + 550 = observed score = 580

Classify the following polynomials according to the number of terms. Combine any like terms first.

Answers

x^2 + 3x + 2x

x^2 + 5x = Binomial

x^3 + x + 3x^2 - x

x^3 + 3x^2 = Binomial

4x^3 + x + x^2 - 2x

4x^3 + x^2 - x = Trinomial

3x^4 + x - 3x^4 - x

0 = No Polynomial/Zero Polynomial

Hope this helps!

The first given polynomial is binomial.

The second given polynomial is binomial.

The third given polynomial is binomial.

The fourth given polynomial is monomial.

What is polynomial?

Polynomials are algebraic expressions that consist of variables and coefficients.

What is monomial?

A monomial is an algebraic expression that has only one term.

What is binomial?

Binomial is an algebraic expression that contains two different terms connected by addition or subtraction.

What is trinomial give?

A trinomial is an algebraic expression that has three non-zero terms.

According to the given question.

We have some polynomials.

If we take the polynomial:

[tex]x^{2} +3x+2x[/tex]

The above polynomial can be written as

[tex]x^{2} + 5x[/tex]

Since, the above polynomial has only two terms therefore it is  a binomial.

[tex]x^{3} +x+3x^{2} -x = x^{3} +3x^{2}[/tex]

The above polynomial has only two terms. Hence, the given polynomial is binomial.

[tex]4x^{2} + x + x^{2} -2x\\=5x^{2} -x[/tex]

The given polynomial has only two terms therefore it is binomial.

[tex]3x^{4} + x - 3x^{4} -x\\= 0[/tex]

The given polynomial has only one term therefore it is monomial.

Find out more information about classification of polynomials here:

https://brainly.com/question/12677239

#SPJ3

I need help to find x=

Answers

Answer:

x=12

Step-by-step explanation:

Since the polygons are similar, we can write a ratio to solve

red side / yellow side

4      2

--- = ---

x       6

Using cross products

4*6 = 2x

24 = 2x

Divide by 2

24/2 =2x/2

12=x

Answer:

12

Step-by-step explanation:

When two shapes are similar, you need to find the scale factor of two existing corresponding sides.

For example, you can do 6 and 2.

Divide:

6/2 = 3

The scale factor: 3

Now multiply 4 and the scale factor (3):

4 × 3 = 12

So, x = 12.

Hope this helped.

Find a recursive rule for the nth term of the sequence.

-8, 3, 14, 25, ...

Answers

Answer:

Step-by-step explanation:

a1=-8

a2=3

D=11

n=-8+11(n-1)


A1=-8
A2=3
D=11. n=-8+11(+1)

Solve the system of equations and choose the correct ordered pair.
4x - 2y = -2
6x + 3y = 27
A. (2,5)
B. (3,7)
C. (0, -1)
D. (0,9)

Answers

Answer:

(2,5)

Step-by-step explanation:

4x - 2y = -2

6x + 3y = 27

Divide the first equation by 2 and the second equation by 3

2x - y = -1

2x + y = 9

Add the equations together

2x - y = -1

2x + y = 9

-------------------

4x = 8

Divide by 4

4x/4 = 8/2

x =2

2x+y = 9

2(2) +y = 9

4+u = 9

y = 9-4

y=5

(2,5)

What is 3x^2-5x-13=0

Answers

Answer:

D. 58

Step-by-step explanation:

Given, 3x+8x+4x=6x+63

⇒15x=6x+63

⇒9x=63

⇒x=7

Then 5x+23=5(7)+23

=35+23

=58

What is the length of line segment SA

Answers

Answer:

slalalallalalalalalalalalallapapapqpqpq

Can somebody help me please.

Answers

I’m pretty sure it is 57?

applying the distributive property to the expression, 24x+18y will produce which equivalent expression.
1. 6(4+3y)
2. 6(4x+3y)
3. 3xy(8+6)
4. 3(8x+6y)

Answers

Answer:

6(4x + 2y)

Step-by-step explanation:

24x = 2 * 2 * 2 * 3 * x

18y = 2 * 3* 3 * y

Common factors = 2 * 3 = 6

24x + 18y = (6*4x) + (6*2y)   {6 is common in both terms}

               = 6*(4x + 2y)

**URGENT PLEASE HELP**
Find g(x), where g(x) is the translation 2 units right and 13 units down of f(x) = -2x + 5.​

Answers

Answer:

g(x)=x+9

Step-by-step explanation:

When translating a graph, adding the number of units shifts the graph to the left and subtracting the number of units shifts it to the right. Since you need the graph translated 9 units to the left, you will need to add that many units to x

therefore, g(x)=x+9

Answer:

g(x)=x-8

Step-by-step explanation:

-2+2 = 0, so g(x) = x

5-13 = -8

I don’t understand how to solve this

Answers

Answer:

42.1

Step-by-step explanation:

The height of the main triangle is,

h = 47√3/2 (since it's an 30-60-90 triangle)

so to find x,

tan(44) = h/x

x = h/tan(44)

x = 42.1 (rounded to the nearest tenth)

Answered by GAUTHMATH

1+2+6+1+4+45+7474747448489

Answers

Answer:

7474747448548

Step-by-step explanation:

I hope this helps

What is the inequality?

Answers

Answer:

The best option would be the second one.

Step-by-step explanation:

This is the only option that shows that x can only be greater than -8. The circled dot means x cannot be the number the dot is sitting on, in this case, -8.

Use the quadratic formula to find the solutions to the quadratic equation below. Check all that apply. 5x2-X-4 = 0 A. -4/5 B. 5/4C. 2/3 D. 1 E. -1 F.3/2​

Answers

Hi

5x²-x-4 = 0  

Δ= (-1)² - 4*5*(-4)

Δ =  1 -4*-20

Δ = 1  +80

Δ = 81  

√Δ=  9

as Δ ≥ 0 , so 2 solutions exist in R

S1 is :    ( 1+9) /2*5  =   10/10 = 1

s2 =      (1 -9)/2*5 =  -8/10 = -4*2 /2*5  = -4/5

Corrects answers are  A  and  D

Answer:

A. -4/5 And D. 1

Step-by-step explanation:

i just got it right

A student must find the slope of a line that passes through the points (2.2) and (-1, 3). Which of the statements
below best applies to the sample mathematical work?

Given the points above, I plug these values into the formula y2 -x1/ x2-x1 which yields the expression -1-2/3-2 , which gives a slope of -3.
А. the formula for the slope of the ne is incorrect
B. the student failed to plug in the proper values into the slope formula
C the numeric calculation to find the slope is incorrect
D. the mathematical work shown is correct

Answers

Answer:

A

Step-by-step explanation:

the formula of the slope is (y2 - y1)/(x2 - x1)

slope = (3-2)/(-1-2) = 1/(-3) = -1/3

Sin(2x+30°)=1
Tìm x
Cảm ơn vì giúp đỡ

Answers

Answer:

Step-by-step explanation:

This question is asking us to find where sin(2x + 30) has a sin of 1. If you look at the unit circle, 90 degrees has a sin of 1. Mathematically, it will be solved like this (begin by taking the inverse sin of both sides):

[tex]sin^{-1}[sin(2x+30)]=sin^{-1}(1)[/tex]

On the left, the inverse sin "undoes" or cancels the sin, leaving us with

2x + 30 = sin⁻¹(1)

The right side is asking us what angle has a sin of 1, which is 90. Sub that into the right side:

2x + 30 = 90 and

2x = 60 so

x = 30

You're welcome!

One model of Earth's population growth is P(t)= 64/(1+11e^0.8t)
where t is
measured in years since 1990, and P is measured in years since 1990, and Pis measured in billions of people. Which of the following statements are true? Check all that apply.

Answers

Answer: C and D

Step-by-step explanation:

Using the logistic equation, it is found that options C and D are correct.

The logistic equation for population growth is given by:

[tex]P(t) = \frac{K}{1 + Ae^{-kt}}[/tex]

[tex]A = \frac{K - P(0)}{P(0)}[/tex]

In which:  

K is the carrying capacity. P(0) is the initial value. k is the growth rate, as a decimal. The population grows exponentially for a while, but as it gets closer to the carrying capacity, the growth slows down.

For this problem, the equation is:

[tex]P(t) = \frac{64}{1 + 11e^{-0.08t}}[/tex]

Which means that:

The carrying capacity is of 64 billion people, as [tex]K = 64[/tex].The growth rate is of 8% per year, but it is not steady.The initial population, in millions of people, is of [tex]P(0) = \frac{64}{1 + 11} = 5.3[/tex].

Hence, options C and D are correct.

To learn more about the logistic equation, you can check https://brainly.com/question/25697660

A rectangular box contain 782 apples. If there are 23 rows in a box, how many columns are there?

Answers

Answer:

34

Step-by-step explanation:

This is because you will have to simply divide 782 by 23.

782 / 23 =

34 :D

in a right triangle ABC, C is the right angle. What does Cos B equal​

Answers

Answer:

not enough information

what is the square root of 100 ​

Answers

The square root of 100 is 10.

To check, solve 10 x 10.

Hope this helps! Please mark me as brainliest!

Have a great day!

Its 10 bcz (10)^2 is 100 ritee:))

find the least number which is exactly divisible by 15 , 20, 25
explain step by step​

Answers

Answer:

ans is 300

Step-by-step explanation:

you need to take LCM of 15,20,25 and their LCM Will be 300

I'M NOT PRETTY SURE ABOUT IT. ...

Answer:

300

Step-by-step explanation:

5/15,20,25

3,4,5

5*4*3*5

300

convert 123000000 milligram into gram​

Answers

Answer:

123,000 grams

Step-by-step explanation:

1000 mg is equivalent to 1 gram.

Answer:

123000g

Step-by-step explanation:

1000mg=1g

123000000mg= xgrams

cross multiplying,

you'll have

[tex] \frac{123000000}{1000} = 123000[/tex]

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