Mathematics Middle School

Forty people were randomly sampled and surveyed as to the number of pets in their household. The results are listed below. 1 1 0 4 1 0 1 2 3 5 2 0 2 0 3 1 2 0 0 1 0 4 0 0 3 1 0 0 2 1 0 0 4 0 1 3 5 0 2 1 What is the mean, median, and mode of the household pet data?

Answers

Answer 1
The answers are:
1.4
1
0
Answer 2

Answer : The mean, median, and mode of the household pet data is, 1.4, 1 and 0 respectively.

Step-by-step explanation :

Mean : It is determine by adding all the numbers then divided by how many numbers there are.

[tex]Mean=\frac{\text{Sum of outcomes}}{\text{Number of outcomes}}[/tex]

Median : It is the middle term that is sorted by the list of numbers. It is determine by placing the numbers in increasing order.

For odd observations the formula will be: [tex]\frac{n+1}{2}[/tex]

For even observations:

First find the value at position [tex]\frac{n}{2}[/tex]

Second find the value at position [tex]\frac{n+1}{2}[/tex]

Then find that average of two values to get the median.

Mode : It is defined as the value that appears most in a set of data.

As we are given that the set of data:

1, 1, 0, 4, 1, 0, 1, 2, 3, 5, 2, 0, 2, 0, 3, 1, 2, 0, 0, 1, 0, 4, 0, 0, 3, 1, 0, 0, 2, 1, 0, 0, 4, 0, 1, 3, 5, 0, 2, 1

First we have to placing the numbers in increasing order.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5

Now we have to determine the mean.

[tex]Mean=\frac{\text{Sum of outcomes}}{\text{Number of outcomes}}[/tex]

Sum of outcomes = 1+1+0+4+1+0+1+2+3+5+2+0+2+0+3+1+2+0+0+1+0+4+0+0+3+1+0+0+2+1+0+0+4+0+1+3+5+0+2+1 = 56

[tex]Mean=\frac{56}{40}=1.4[/tex]

The mean of the household pet data is, 1.4

Now we have to determine the median.

For even data:

[tex]\frac{n}{2}[/tex] and [tex]\frac{n+1}{2}[/tex]

Here, n = 40

[tex]\frac{40}{2}[/tex] and [tex]\frac{40+1}{2}[/tex]

20 and 20.5

The number of pets at 20th position and 21th position is, 1 and 1 respectively.

Then we have to take an average of two values.

[tex]\frac{1+1}{2}=1[/tex]

The median of the household pet data is, 1

Now we have to determine the mode.

In the given set of data, 0 appears 15 times, 1 appears 10 times, 2 appears 6 times, 3 appears 4 times, 4 appears 3 times and 4 appears 2 times.

The value that appears most in a set of data is, 0

The mode of the household pet data is, 0

Related Questions

the value of 9 in 901,532 is how many times the value of the 9 in 157,900?

Answers

the value of 9 in 901,532 = 900,000
the value of 9 in 157,900 = 900

to find out how many times greater, we must divide
900,000 / 900 = 1000

so it is 1000 times greater <==

Estimated tax on tires that cost $498 with a 6.25% sales tax

Answers

Just multiply the cost by the tax rate (use the decimal fraction 0.0625 for this):

0.0625($498) = answer

A bakery sells packages of 6 cupcakes for $10. If the bakery starts selling the cupcakes in packages of 12, how much would you expect a package of 12 to cost?

Explain your reasoning.

Answers

if a 6 pack of cup cakes is  $10 i would assume a 12 pack would cost $20 because its double the items double the price but that is over priced imo    i hoped that helped 

If a litre of water is provided for 20 people, how much for 50 people?

Answers

the answer is two an a half litres

2 1/2 litre is givin to 50 people...

Gina works at a diner.She earns 6$ each hour plus tips.In one week,She worksed 37 hours a week and earned 434$ in tips.How much dud she nake altogether? Write an equation.Use a variable for the unknown.Solve

If answer is 86 please say true if not put answer thanks
this is just my sister's homework not mines I'm a sixth grader not a fourth grader.
.3.

Answers

false.

6(x)+434=?
x= number of hours so problem can be rewritten as
6(37)+434
———
222+434=
656

Write two expressions that represent 3/12

Answers

1/4 or 25% hope this helps

Jill says that 6 is a common factor of 56 and 36 is she correct explain

Answers

She would be correct for 36 but not for 56 10 x 6 =60 60 - 6 = 54
Correct : 36

Wrong : 56

Because : there is no number that 6 can multiply into to get 56.

ron wants to buy a videoo game with a selling price of $48 on sale for 50% off. the sales tax in his state is 4.5% A)how much will ron have to pay in all? B) if he has $25 can he afford to purchase the game?

Answers

No the game with tax after the %50 off will com to $25.08 ron will be short .08 cents

The height of a window is 0.6 feet less than 2.5 times its width. If the height of the window is 4.9 feet, which equation can be used to determine x, the width of the window?

Answers

x = width of window

2.5x - 0.6 = 4.9

Solve -

2.5x -0.6 + 0.6 = 4.9 + 0.6

2.5x = 5.5

2.5x ÷ 2.5 = 5.5 ÷ 2.5

x = 2.2

Answer:

The CORRECT answer is 2.5x - 0.6 = 4.9

0.5,1/5,0.35,12/35,4/5 least to greatest

Answers

The order is:
1/5, 12/25, 0.35, 0.5, 4/5.
So you have:
0.5, 0.2, 0.35, 0.336, 0.8 and in order it is:
1/5, 12/35, 0.35, 0.5, 4/5

The odds against Chip beating his friend in a round of golf are 1 : 5. Find the probability that Chip will beat his friend

Answers

The probability that Chip will beat his friend is found by dividing the number of times he beats his friend by the total of the odds. So, we know that the odds against Chip beating his friend are 1:5, which means that the odds in favour Chip beating his friend are 5:1. Therefore, it comes like this:
5 (number of times he beats his friend) / 6 (total of the odds: 5+1)

Rachel types 162 words in 3 minutes Rachel types at a constant rate how many words does Rachel type per minute

Answers

Answer:

54 words  does Rachel type per minute

Step-by-step explanation:

Unit rate defined as the rates are expressed as a quantity as 1 such as 4 meter per seconds or 5 km per hour

As per the statement:

Rachel types 162 words in 3 minutes Rachel types at a constant rate.

We have to find  how many words does Rachel type per minute.

By definition of unit rate:

[tex]\text{Unit rate per minute} = \frac{162}{3}[/tex]

Simplify:

[tex]\text{Unit rate per minute} =54[/tex] words

Therefore, 54 words  does Rachel type per minute

The number of words typed by Rachael in one minute at a constant rate is 54 words

The parameters given :

Step-by-step explanation:

Number of words typed = 162 words Time taken = 3 minutes

Since, the typing rate is constant ; the typing rate per minute can be calculated thus :

(Number of words typed ÷ number of minutes) (162 / 3) = 54 words per minute.

Therefore, Rachael types at a constant rate of 54 words per minute.

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what is this answer because I don't know how to do it

Answers

You are solving for n. First you want to get n by itself on one side of the equal sign. To do this you need to get rid of the -5, so you add it to both sides.

13 + 5 = n - 5 + 5

18 = n

Hope this helps!

So you need to solve for x. To do so you need to isolate the variable first. This is what you do.

13 = x - 5
You add 5 to both sides to get x by itself.
18 = x
So now lets check our work by plugging in the variable! :)
13 = 18 - 5
13 = 13
It is a solution so 18 is your answer.
I hope this helps love! :)

Evaluate (1/4)^—2-(5^0x 2)x1^-1

Answers

This expression is awkward.  Your (1/4)^--2 should be written (1/4)^(-2).
Also, your x 2 should be written x^2 (the square of x).

But maybe that's not what you meant!

Your apparent use of "x" to indicate "multiply" makes things harder and more confusing.  Please use " * " ONLY to denote multiplication.  

Let's try again.  Here's what I think I see:

(1/4)^(-2)    -    1*2*1^(-1)                  and here is the evaluation:

16               -      2              =    32

Practice typing in expressions like these and then try to get some critique from your teacher regarding where you are correct and where you are not.

The formula y-y1 = m(x-x1) is the point-slope form of the equation of a lie where m is the slope of the line and (x,y) and (x1,y1)are points of the line. Solve the equation for m, and find slope of a line that includes the points (4,-2) and (5,0)

Answers

Y - y1 = m(X - X1)

m = Y - y1/X - x1

m = -2 - 0/4 - 5

m = -2/-1

m = 2.

The slope of the line is a positive one, where m = 2.

Answer:

m=2

Step-by-step explanation:

(5 x 8) x (5 x 8) = ___ squared

Answers

........(5×8) × (5×8) =           40²
(5×8) × (5×8)
40×40
1,600

An office supply store sells 128 pens in each bag. A business bought 9 bags of pens one month and 7 bags of pens the next month. How many pens total did the business buy?

A. 2,304 pens
B. 2,048 pens
C. 6,712 pens
D. 7,764 pens

Answers

The Business bought a total of 2048 pens.

Easiest way to solve this is to add the amount of bags the business bought.

7 + 9 = 16

After you find to total amount of bags bought you multiply the amount of pens in each bag by the total amount of bags the business bought.

16 * 128 = 2048


Final answer:

The business bought a total of 2,048 pens over two months. In the first month, they purchased 1,152 pens, and in the second month, they purchased 896 pens.

Explanation:

The problem involves simple multiplication and addition operations. First, we need to find out how many pens the business bought in total for each month. In the first month, the business bought 9 bags of pens, and each bag contains 128 pens. So, we multiply 9 (number of bags) by 128 (number of pens per bag) to get 1,152 pens for the first month.

For the second month, the business bought 7 bags of pens. Again, we multiply 7 (number of bags) by 128 (number of pens per bag) to get 896 pens.

Finally, we add together the totals for the two months: 1,152 pens (for the first month) plus 896 pens (for the second month) gives us a total of 2,048 pens bought by the business over the two months. So, the correct answer is B. 2,048 pens.

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Erica Sutherland earns a yearly salary go 45,650, how much would Erica earn in a monthly paycheck

Answers

so thats a year salary, so divide that by 12 and theres your answer

divide the yearly pay by 12 ( 12 months in a year)

45650 / 12 = 3804.17 per month

Find 3 consecutive odd integers such that the sum of 7 times the smallest and twice the largest is -91?

Answers

suppose the smallest odd integer is n, the next one is then n+2, and the third one is n+4
7n+2(n+4)=-91
7n+2n+8=-91
9n=-99
n=-11
so the three odd integers are -11,-9,-7

Answer: -11, -9, -7

the smallest:   2x+1 = -11

Step-by-step explanation:

{z - some integer}

2z+1  - the smallest number

7(2z+1)  - seven times the smallest number

2z+1+2=2z+3  - the middle number

2z+3+2 = 2z+5 - the largest number

2(2z+5) - twice the largest number

7(2z+1) + 2(2z+5)  - the sum of 7 times the smallest and twice the largest

7(2z+1) + 2(2z+5)   = -91

14z + 7 + 4z + 10 = -91

             -17              -17

     18z   = -108

      ÷18        ÷18

       z = -6

2z+1 = 2(-6)+1 = -12 + 1 = -11  

2z+3 = 2(-6)+3 = -12 + 3 = -9

2z+5 = 2(-6)+5 = -12 + 5 = -7        

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Ryan made 3/4 of a gallon of lemonade. Each glass holds 1/8 of a gallon of lemonade. How many glasses can Ryan fill?

Answers

The answer would be 6 glasses of lemonade. 
3/4=6/8
1/8= one glass
So since there is 6/8 of a gallon, there would be 6 glasses.

6 Glasses Ryan can made.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Ryan made 3/4 of a gallon of lemonade.

Each glass holds 1/8 of a gallon of lemonade.

so, the number of glasses of Ryan made

= (3/4)/ (1/8)

= 3/4 x 8

= 3 x 2

= 6

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what is the absolute value of -5

Answers

The absolute value of 2 + 7 is 5.

Answer: +5

Explanation: When a problem is asking us to find the absolute value of a number, it's really asking us how far is that number from zero.

So the absolute value of -5 is really asking us

how far is -5 away from zero on a number line.

I have drawn a number line below and you can see that -5

is 5 units to the left of zero which means its 5 units from zero.

So the absolute value of -5 is +5.

NEED HELP ASAP THANKS



Evan is making a table that will be created in the shape of the figure below. The table top is a triangle attached to a rectangle. To purchase the right amount of paint, he needs to know the area of the table top. He can only spend $10 on paint, which is enough to cover 150 ft2 of surface area. What is the maximum length of the base of the rectangle he can build? An image of a compound shape made up of a rectangle and a triangle is shown. The length of the rectangle is labeled x and the width is labeled 6 feet. The base of the triangle is labeled 4 feet and the height is labeled 6 feet.
x = __________________ ft
Numerical Answers Expected! Answer for Blank 1:

Answers

If we're looking for the area of the compound shape then,

Area of rectangle is : length × width
Area of triangle : 1/2 × base × height

So...

6x + (1/2 × 4 × 6) = 150
6x + 12 = 150
6x = 138
x = 23

The maximum length of the base of the rectangle he can build is 23 feet.

the absolute value of a negative number is 2.78 what is the distance on the number line between the number and it's absolute value

Answers

The distance from -2.78 to 2.78 on a number line would equal 5.56!

original price: $325.50; Markdown; 15%

Answers

325.5*.15 = 48.825

325.5 - 48.825 = 276.68 (rounded)
So you take $325.50 and multiply it by 15%. $325.50(0.15) = $48.825. You round $48.825 to $48.83. The you subtract $48.83 from $325.50 to get $276.67.

The Markdown price is $276.67

Hope this helps!

The conservation club has 32 members. There are 18 girls in the club.

What is the ratio of girls to boys in simplest form?

716

916

97

79

Answers

9:7 There are 18 girls to 14 boys. 18/14 divide top and bottom by 2 to simplify equals 9:7

Answer:

9:7

Step-by-step explanation:

i took the test

I have little tolerance for risk, so I must be willing to accept lower returns on my investment

Answers

I believe the answer is D

math help Brainliest will be given I solved RS wrong how do I do it I got 112

Answers

R is between S and T, so this implies that R is on line ST and we can say

SR+RT = ST

plug in the given expressions to get

(-2x+24)+(4x+10) = 4x+12

Now solve for x

(-2x+24)+(4x+10) = 4x+12
-2x+24+4x+10 = 4x+12
2x+34 = 4x+12
2x+34-2x = 4x+12-2x
34 = 2x+12
34-12 = 2x+12-12
22 = 2x
2x = 22
2x/2 = 22/2
x = 11

If x = 11, then RS is,
RS = -2*x+24
RS = -2*11+24
RS = -22+24
RS = 2

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

Answers:
x = 11 and RS = 2

RS and RT are both segments on the same line. Therefore their equation can be added together and set equal to the equation that is given representing the entire length of segment ST.:


4x+10+ -2x+24=4x+12


Now that you have created one larger equation to solve for x you can now go ahead and combine like terms, (all the x's with the x's and the regular numbers with the regular numbers)


2x+34=4x+12


Now you must move the variables and constants to the opposite sides of the equation. This is called isolating the variable:


2x= 22

Now you can solve for x by dividing by 2 and your answer is x = 11


Now that you have solved for the value of x you can take that value and plug it into the equation that is given for the length of segment RS.


-2X+24 NOW BECOMESSS......

-2(11)+24= -22+24= 2


The length of segment RS is 2

The length of segment RT is 54

The total length of segment ST is 56 
 



Using the distributive property, an expression equivalent to 48 + 30 is

Answers

Find the common factor for 48 and 30 which is 6 . Then factor it out
Answer: 6(8+5)

By using a distributive property the expression 48 + 30 will be written as 6(8+5).

What is distributive property?

The distributive property of binary operations in mathematics generalizes the distributive law, which states that in elementary algebra, equality is always true.

Given expression of addition is 48 + 30. The expression by using distributive property will be written as:-

E = 48 + 30

Take 6 commons from the above equation.

E = 48 + 30 = 6 ( 8 + 5 )

48 + 30 = 6( 8 + 5 ) ( Distributive property )

Therefore, by using a distributive property the expression 48 + 30 will be written as 6(8+5).

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A 6-foot-wide hallway is painted as shown, using equal amounts of white and black paint.
a. How long is the hallway?
b. Can this same hallway be painted with the same pattern, but using twice as much black paint as white paint? Explain.

Answers

we know that

The hallway is painted using equal amounts of white and black paint

so

To know the amount of white paint------> calculate the area of white paint

[tex]A=5x*6=30x\ ft^{2}[/tex]

To know the amount of black paint------> calculate the area of black paint

[tex]A=(x+1)*4*6=(24+24x)\ ft^{2}[/tex]

equate the areas

[tex]30x=(24+24x)\\30x-24x=24\\6x=24\\x=4\ ft[/tex]

Find the length of the hallway

[tex]5x+(4x+4)=9x+4=9*4+4=40\ ft[/tex]

therefore

the answer part a) is

The hallway is [tex]40\ ft[/tex] long

Part b) Can this same hallway be painted with the same pattern, but using twice as much black paint as white paint?

we know that

the amount of white paint is [tex]30x\ ft^{2}[/tex]

if the black paint is twice that the white paint

then

amount of black paint is [tex]2*30x=60x\ ft^{2}[/tex]

amount of black paint with the same pattern is [tex](24+24x)\ ft^{2}[/tex]

equate

(24+24x)\ ft^{2}=(60x)\ ft^{2}

solve for the new value of x

[tex]24x+24=60x\\ 60x-24x=24\\ x=24/36\\x= 2/3\ ft[/tex]

Find the new length of the hallway

[tex]5x+(4x+4)=9x+4=9*(2/3)+4=10\ ft[/tex]

therefore

the answer is

Yes, the same hallway can be painted with the same pattern, using twice as much black paint as white paint, but the hallway decreases in length

Answer:

Thank you so much callculista

Step-by-step explanation:

5x - (x-2) > 2x - 4 (x -8)

Answers

5x-(x-2)>2x-4(x-8)
5x-x+2>2x-4+36
4x+2>2x+32
2x+2>32
2x>30
x>15
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