Mathematics Middle School

what are the mean median mode and range of the data set given the altitude of lakes in feet -9, -36, -23, -8, -17, -52, -27, and -36 A. mean=-25; median=-26; mode=-44; range=36 B. mean=-25; median=-36; mode=-36; range=44 C. mean=-26; median=-25; mode=-36; range=44 D. mean=-26; median=-44; mode=-25; range=36

Answers

Answer 1
Hi there!

The first step in solving this should be to determine what mean, median, mode and range are and how to find them. 

The "mean" is essentially just the average of a set of numbers, and it's found by finding the sum of the numbers then dividing by the number of add-ins. 
The "median" is the middle number in a set. This is found by arranging the numbers from smallest to largest and finding the center number. Sometimes, if there is an even number of items in a set, you'll have to find the median by taking the mean of the two middle number. (For example, if your set is 1, 2, 3, 4 you would find the median by looking or the middle number(s) which in this case would be 2 and 3. To find the median, you'd take 2+3 which equal 5 and divide that by the number of items- 2 which gives you 2.5). 
The "mode" is the is simply whichever number occurs the most in a set. 
The "range" is the difference between the largest and smallest numbers in a set; in other words, you take the largest number in the set and subtract the smallest number in the set from it (i.e if the largest number is 5 and the smallest number is 3, you'd take 5-3 which gives you the range of 2). 

Now the, on to solving your problem! 
The set you were given consists of the numbers -9, -36, -23, -8, -17, -52, -27, and -36. 

To find the mean, we would take all of the numbers and add them up: 
-9+(-36)+(-23)+(-8)+(-17)+(-52)+(-27)+(-36) = 208
Then, you divide the sum by the number of add-ins, in this case, 8 (since there are 8 numbers in the set). 
-208/8 = -26. 
So the mean = -26. 

The median can be found next, by arranging the numbers from smallest to largest: 
-52, -36, -36, -27, -23, -17, -9, -8 
As we can see, the middle-most numbers are -27 and -23, so what we have to do is add the number which gives us -50 and divide by 2 which gives us the answer of -25. 
So the median is -25. 

Next is the mode, which can be found by seeing which number occurs the most. As we can see by looking at the set, -36 is the only number that occurs more than once (occurring twice). 
Since it occurs the most, the mode is -36. 

Finally, we need to find the range. In order to do this, we take the highest number (-8) and subtract the lowest number (-52). 
-8-(-52)= 44
Keep in mind that when you're subtracting a negative, it becomes addition. 
And there we go, the range is 44. 

So now we just have to look at your choices, and you can see that option C matches the answers, since the mean= -26, the median= -25, the mode= -36, and the range = 44. 

Truly hope this helps! 
Answer 2

Answer:

C

Step-by-step explanation:

Related Questions

The amount of money it takes to fill up your gas tank varies directly with the number of gallons you buy. You spent $16.56 to fill up your car with gasoline. If you bought 6 gallons of gasoline, what is the constant of variation

Answers

The constant of variation is 2.76 dollars per gallon

Let "m" represent the money required.

Let "n" represent the number of gallons filled.

Since it is given to us that the amount of money it takes to fill up your gas tank varies directly with the number of gallons you buy, therefore, this can be written mathematically as:

[tex] m\propto n [/tex]

We know that when we remove the "varies to" sign we have to replace it with the equal to sign and the constant of variation, which we will represent by the letter "k".

Therefore the above expression will become:

[tex] m=k\times n [/tex]

Now, it is given that m=$16.56 and n=6 gallons

Therefore, [tex] 16.56=k\times 6 [/tex]

Dividing both sides by 16.56 we get:

[tex] \therefore k=\frac{16.56}{6}=2.76 [/tex]

Thus, k=2.76 $/gallon is the value of the constant of variation.


​ Quadrilateral ABCD ​ is inscribed in this circle.



What is the measure of angle B?

Enter your answer in the box.

m∠B=
°

Answers

Hello,

When you have an inscribed quadrilateral, the opposite sides are supplementary.

So you can write and solve the following equation.
x + 6x + 19 = 180
7x + 19 = 180
7x = 161
x = 23

Now, plug in 23 for X and we will find the measurement of B.
6(23) + 19
138 + 19
157

The measure of angle B is 157 degrees. (The picture is not drawn to scale)

Good luck,
MrEQ

The velocity of an airplane heading east is 400 knots with a wind velocity of 50 knots blowing toward the northeast. Calculate the resultant speed and direction of the plane. Round to the nearest tenth.

Answers

1. To Calculate the resultant speed of the plane, you need to find the speed of the air, add it to the plane speed, then find the resultant using trigonometry.

The velocity of the plane:
east=400 knots

The velocity of the air
50knots north east = 50/√2 north + 50/√2 east

The resultant speed would be:
total speed^2= east^2 + north^2
total speed= √(400+50/√2)^2 + (50/√2)^2
total speed= √(189534.254 + 1250)
total speed= 436.8 knots

2. To count the direction of the plane, you need to find the total speed of x(east/west) and y(north/south) axis separately then use tan formula.
east speed= 400knots + 50/√2 knots= 435.35 knots
north speed= 50/√2knots= 35.35 knots

tan a= opposite/adjacent
tan a = north speed/ east speed
tan a= 35.35/ 435.35 
tan a=0.0812
a= 4.6 degrees

Please help me, thanks.

Answers

1. Commutative Property of Addition.a + b = b + a 

Examples: 

1. real numbers 

2 + 3 = 3 + 2 

2. algebraic expressions 

x 2 + x = x + x 2

2. Commutative Property of Multiplication.a * b = b * a 

Examples: 

1. real numbers 

5 * 7 = 7 * 5 

2. algebraic expressions 

(x 3 - 2) * x = x * (x 3 - 2) 

3. Associative Property of Addition.(a + b) + c = a + (b + c) 

Examples: 

1. real numbers 

(2 + 3) + 6 = 2 + (3 + 6) 

2. algebraic expressions 

(x 3 + 2 x) + x = x 3 + (2 x + x) 

4. Associative Property of Multiplication.(a * b) * c = a * (b * c) 

Examples: 

1. real numbers 

(7 * 3) * 10 = 7 * (3 * 10) 

2. algebraic expressions 

(x 2 * 5 x) * x = x 2 * (5 x * x) 

5. Distributive Properties of Addition Over Multiplication.a * (b + c) = a * b + a * c 
and 
(a + b) * c = a * c + b * c 

Examples: 

1. real numbers 

2 * (2 + 8) = 2 * 2 + 2 * 8 

(2 + 8) * 10 = 2 * 10 + 8 * 10 

2. algebraic expressions 

x * (x 4 + x) = x * x 4 + x * x 

(x 4 + x) x 2 = x 4 * x 2 + x * x 2

6. The reciprocal of a non zero real number a is 1/a.and a*(1/a) = 1 

Examples: 

1. real numbers 

reciprocal of 5 is 1/5 and 5*(1/5) = 1 

7. The additive inverse of a is -a.a + (- a) = 0 

Examples: 

additive inverse of -6 is -(-6) = 6 and - 6 + (6) = 0 

8. The additive identity is 0. and a + 0 = 0 + a = a 

9. The multiplicative identity is 1.and a * 1 = 1 * a = a



How do you get the value of x

Answers

You add the angles, then set that total to 180°, the total of the angles in any triangle.
.. 5x = 180
.. x = 180/5 = 36

BRAINLIEST FOR THE FIRST RIGHT ANSWER

Instructions: Select the correct answer.

Audrey has a box that contains one caramel chocolate (C), one milk chocolate (M), one dark chocolate (D), and one white chocolate (W). She picks one chocolate and eats it. Then she picks another chocolate and eats it. What is the sample space of the event?

A. {M-D, M-W, M-C, D-W, D-C, W-C}

B. {M-D, M-W, M-C, D-M, D-C, D-W, W-M, W-C, W-D, C-M, C-D, C-W}

C. {M-D, M-W, M-M, D-M, D-C, D-D, W-M, W-W, W-D, C-M, C-D, C-C}

D. {M-D, M-W, M-C, M-M, D-M, D-C, D-W, D-D, W-M, W-C, W-D, W-W, C-M, C-D, C-W, C-C}

Answers

the answer would be B
 
 since there is only 1 flavor of each there would be 3 combinations containing each flavor
Hey there! :D

So, I know this can be confusing, but basically, it is just asking for all the possibilities of chocolates Audrey could've chosen. There are 4 choices. 

C, M, D, and W. 

You have 4 choices for the first pick. 

You have 4 choices for the second. 

4*4= 16

Which choice has 16 options? 

"D" has 16 options. It is the correct sample space.

I hope this helps!
~kaikers

Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900. For each salesman, write an equation showing the relationship between their weekly paycheck amount, p, and the number of sales, s, they had that week. Graph the three equations you just wrote for each salesman if they have between 0 and 20 sales in a week. Graph all three equations on the same graph . Make sure you label each line with the salesman it represents, as well as label the axes. Note: The independent variable is s, and the dependent variable is p.

Answers

GIVEN:
Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300.
Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn.
Salesman C does not earn any commission. His weekly salary is $900.

Salesman A: 1300 ≤ 65S
Salesman B: P = 40S + 300
Salesman C: P = 900

Salesman A can only have 20 sales. 1,300/65 = 20. It should not go beyond that because it will go beyond the limit of 1,300 per week.

Salesman B will earn 1,100 for 20 sales. P = 40(20) + 300 = 800 + 300 = 1,100.

Salesman C will earn 900 regardless if he had 0 or 20 sales for the week.

You can do your own graph using my equations.

Web flixs charges $25 and $2 for each movie family video charges $10 plus $2.50 for each movie find the number of movie rental for both stores charge are the same

Answers

The number of movie rentals would be 30
To find the answer you have to do this
(M stands for movies)
$25 + 2m = $10 + 2.50m
-10     -2m   -10      -2
$15 = .50m
Divide .50/15
You get 30 
Check your answer $25 + 2(30) = $10 + 2.50(30)
$25 + $60 = $10 + $75
$85 = $85
Final answer:

The number of movie rentals for which Web Flixs and Family Video charge the same is 30.

Explanation:

To find the number of movie rentals for which Web Flixs and Family Video charge the same, we need to set up an equation and solve for the number of movies. Let's denote the number of movie rentals as 'x'.

For Web Flixs, the cost is $25 + $2 per movie, so the total cost can be expressed as 25 + 2x.

For Family Video, the cost is $10 + $2.50 per movie, so the total cost can be expressed as 10 + 2.50x.

To find the number of movie rentals for which the costs are the same, we set up the equation: 25 + 2x = 10 + 2.50x.

By rearranging the equation and solving for 'x', we can find the number of movie rentals:

25 - 10 = 2.50x - 2x

15 = 0.50x

x = 30

Therefore, when the number of movie rentals is 30, the charges at both Web Flixs and Family Video will be the same.

find the slope of a line that is parallel to the line -0.75 x minus y equal 3 the slope of a parallel line is

Answers

In order for lines to be parallel, the slopes must be the same. Therefore, the slope of a parallel line would be -0.75. Unless you simplify the equation to y=0.75x+3 in which case the slope would be 0.75. 

How do I solve 20% out of 75

Answers

20% -->decimal 0.2

75 x 0.2 = ?

? = 15
You take the decimal of 20 percent which is 0.2 and multiply it by 75. Then when you got your answer move the number of numbers after the decimal from the answer backwards. Now you got your answer . :)

PLEASE HELP

If a student is chosen at random find the probability the student is male given that its a senior. Round to the nearest while percent.

Answers

Answer: 40%

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

Work Shown:

"given that it's a senior" is an important piece of info that tells us to only focus on the "seniors" column. The word "given" is an indication that we know this information 100%

There are 5 seniors (2+3 = 5) and 2 of them are male. So 2/5 = 0.40 = 40% of the seniors are male. The probability of selecting a male, if we know this person is a senior, is 40%

The probability that a randomly selected senior student is male is 40%.

Given Data:

We have a two-way table representing the number of students by gender and grade level.

The relevant information is that there are 2 male seniors.

Event Definitions:

Let’s define the following events:

A: Student is male.

B: Student is a senior.

Conditional Probability:

We want to find the probability that a student is male given that they are a senior: (P(\text{Male}|\text{Senior})).

We can use the formula for conditional probability: [tex][P(\text{Male}|\text{Senior}) = \frac{P(\text{Male and Senior})}[/tex][tex]{P(\text{Senior})}][/tex]

Calculations:

From the table, we know:

Number of male seniors (A and B): 2

Total number of seniors (B): 5

Therefore: [[tex]P(\text{Male}|\text{Senior}) = \frac{2}{5} = 0.4][/tex]

Rounded Answer:

Rounding to the nearest whole percent:

([tex]0.4 \times[/tex]100% = 40%)

Summary: The probability that a randomly selected senior student is male is 40%.

which one of the following tables is a relation that represents a function?

Answers

c is the correct answer homie
Answer:
Table 3

Explanation:
For a relation to be a function, each x value should have only one corresponding y value.

Now, let's check the givens: 
Table 1:
x = 1 has two corresponding y-values. Therefore, this is not a function

Table 2:
x = 10 has two corresponding y-values. Therefore, this is not a function.

Table 3:
each x value has only one corresponding y-value. Therefore, this one is a function

Table 4:
x = 7 has two corresponding y-values. Therefore, this is not a function.

Hope this helps :)

triangle LMN is similar to triangle XYZ with altitudes KL and WX. Find KL

Answers

KL is 7.

Since LMN~XYZ, that means m∠N = m∠Z.

Since the angles are the same, we also know that 
sin N = sin Z

Sine is the ratio of the opposite side to the hypotenuse of a right triangle.  The sine of N would be the ratio of sides LK to LN, and the sine of Z would be the ratio of sides XW to XZ.  That gives us:

x/28 = 3/12

Cross multiply the proportion:

12*x = 28*3
12x = 84

Divide both sides by 12:
12x/12 = 84/12
x = 7

The side length (KL) of the triangle ΔLMN will be 7. Then the correct option is B.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The triangle ΔLMN is similar to triangle ΔXYZ with altitudes KL and WX.

The ratio of the corresponding sides will remain constant. Then the equation is given as,

KL / XW = LN / XZ

KL / 3 = 28 / 12

KL = (28 x 3) / 12

KL = 84 / 12

KL = 7

The side length (KL) of the triangle ΔLMN will be 7. Then the correct option is B.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ5

A solid right pyramid has a square base. The base edge length is 2 cm longer than the height of the pyramid. If the height is 6 cm, the volume of the pyramid is cm3.

Answers

Base length = 2 + height
Height = 6
Base length = 8
Volume of pyramid = width x length x height /3 = 8 x 8 x 6/3 = 128 cm³

Answer:

128

Step-by-step explanation:

Just did the test ;)

Lavonne sold 4 times as many raffle tickets than Kenneth. Lavonne sold 56 raffle tickets. Write and solve an equation to find out how many tickets Kenneth sold.

PLEASE!!!!!! A+

Answers

14 tickets.

Hope this helped
take 56/4 and that equals 14.

56/4=14

then plug it in and you get 14 times 4 = 56

Find an angle at home. Measure the angle. Record the measure. Classify the angle.

Answers

A table leg. It is 90 degrees from the floor. It is a right angle

On Monday it snowed 9 inches. The next day it snowed 1/2 that amount. How much did it snow on the second day?

Answers

it probably snowed 4.5 inches

what is the slope of the line (2,-2) and (9,3)

Answers

slope =  3-(-2) / 9-2
slope = 5/7
HI,
the slope of the line is 
m=5/7
i hope this helped you

find the equation of the line given two points. (2,1), (5,2). y=?

example answer: (4,0), (5,2). y=2x-8

please help. ive been on this problem for almost an hour now

Answers

Answer: [tex]y = \frac{1}{3}x+\frac{1}{3}[/tex]
Note: the slope is 1/3 and the y intercept is 1/3

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

Explanation:

First we need the slope of the line through the two points. Use the slope formula

m = (y2 - y1)/(x2 - x1)
m = (2-1)/(5-2)
m = 1/3

The slope is m = 1/3

Use this slope, along with one of the points. I'll use the point (x,y) = (2,1). Plug these three values into the equation y = mx+b and then solve for b

y = mx+b
1 = (1/3)(2)+b
1 = 2/3+b
1-2/3 = 2/3+b-2/3
1 - 2/3 = b
b = 1 - 2/3
b = 3/3 - 2/3
b = 1/3

So the slope and y intercept are
m = 1/3
b = 1/3

Therefore the equation is [tex]y = \frac{1}{3}x+\frac{1}{3}[/tex]

△ABC has interior angles with measures x°, 90°, and 70°, and △DEF has interior angles with measures y°, 70°, and 20°. Using the given information, which statement is true?
a The triangles are similar because they each have an interior angle with a measure 70°.

b The two triangles are not similar because the interior angles are congruent but
the side lengths are different.

c The two triangles are similar because y=90 .

d The two triangles are not similar because x≠y .

Answers

the letter answer is c

Answer:

c

Step-by-step explanation:

i took the test

is a simplified version of 5(x+8)-10x =60

Answers

5(x+8)-10x =60
5x + 40-10x = 60
5x-10x = -5x
40-5x = 60
Subtract 40 from both sides
-5x = 20
X= -4

Determine o X do triângulo na questão b

Answers

2x + 3x = 90

5x = 90

x = 18

Please could someone help with this one . Thanks I will brainlist

Answers

The answer to this is the third option choice: Reaches a maximum height of 549 after 5.75 seconds.
The answer is c I hope you get is right !

Factor the expression 28r + 42s -35

Answers

First, find the GCF of 28, 42, and -35. When we use the ladder technique, we have: GCF(28, 42, -35) = 7. We know 7 * 4 is 28, 7 * 6 is 42, 7 * -5 is -35. So, we have the following result:
7(4r + 6r - 5)
We can't factor anymore.

Answer:

7(4r + 6r - 5)

Step-by-step explanation:

351.68 rounded to the nearest hundredth?

Answers

351.60 would be the answer 
Hi there!

351.68 is already rounded to the nearest hundredth. The digit in the hundreds place is 8. 

Hope this helps! Tell me if you meant something else ;)

Please help

The profits for a large international bank were $2 934 569 000.

What is the scientific notation form of the profit figure? (Round the base/root to 1 decimal point.)

Answers

The scientific notations is 2.9x10^9
The scientific form is 2.9 * 10^9

help meeeeeeeeeeeeeeeeeeeeee

Answers

2y = -4
Y= -2

X= -4

Don’t even thank :))
x + 2y = -4
 For this case what you should do is see the intersections with each of the axes and then join the ordered pairs.
 We have then:
 For the x axis:
 y = 0
 Substituting in the equation:
 x + 2 (0) = - 4
 x + 0 = -4
 x = -4
 For the y axis:
 x = 0
 Substituting in the equation:
 x + 2y = -4
 0 + 2y = -4
 y = -4 / 2
 y = -2
 We graph the ordered pairs:
 (x1, y1) = (- 4, 0)
 (x2, y2) = (0, -2)
 Answer: 
 See attached graph.

the sum of two numbers is 83. The difference of the 2 numbers is 13. What is the product of the two numbers?

Answers

83-13=70 divide by 2 =35+13=48= 35x48=1680

The product of the two numbers whose sum and difference is 83 and 13 respectively is 1680.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is that the sum of two numbers is 83 and the difference of these two numbers is 13.

Assume that the numbers are [x] and [y] respectively. Then -

x + y = 83             ...[1]

and

x - y = 13

x = 13 + y

Substitute (x = 13 + y) in Equation [1], we get -

13 + y + y = 83

2y = 70

y = 35

Therefore, [x] will be equivalent to -

x = 13 + 35

x = 48

Now, the product of [x] and [y] will be -

xy = 35 x 48 = 1680

Therefore, the product of the two numbers whose sum and difference is 83 and 13 respectively is 1680.

To solve more questions on Operations with numbers, visit the link below-

brainly.com/question/19920686

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The area of a square garden is 50 m². How long is the diagonal? 100 m mc028-1.jpg m 25 m 10 m

Answers

a=s^2 50=S^2 s= sqrt50 s=7.071 ms  a^2+a^2=c^2 50+50=c^2 100=c^2 c= sqrt100 c=10ms  So the answer would be 10 hope this helped

Answer:

Option D, 10m

Step-by-step explanation:

The area of a square garden is 50 m²

We have to find the diagonal of the square garden  by Pythagoras theorem.

Since ( diagonal )² = 2(side)²

         ( diagonal )² = 2 × area

                              = 2 × 50 = 100 m²

      diagonal = √100

                     = 10 meter

Option D., 10m is the answer.

What is the simplified version of (1/3) (9x - 9)

Answers

The answer is 3x-3 because of the distributive property. 1/3 times 9x is 3x and 1/3 of 9 is 3.
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