Consider the following data.
13,13,−5,−5,13,11,−5
Step 1 of 3 : Determine the mean of the given data.
Step 2 of 3: Determine the median of the given data.
Consider the following data.
13,13,−5,−5,13,11,−5
Step 3 of 3: Determine if the data set is unimodal, bimodal, multimodal, or has no mode. Identify the mode(s), if any exist.

Answers

Answer 1

The median is 5.

The median is 11.

The data set is bimodal.

What is the mean, median and mode of the data?

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

(13 + 13 −5 −5 + 13 + 11 −5) / 7 = 35/7 =5

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

-5, -5, -5, 11,  13,13, 13

Median = 11

A bimodal data set is a distribution with two clear most frequent values.

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Related Questions

Teams of players entered a beach volleyball tournament. How many players can there be if each team has exactly 6 players?​

Answers

The answer depends on how many total teams there are. The team players always end up with multiple of 6: 6, 12, 18 24... etc.

Hope it helps!

Jared has one pizza that has 12 slices. He wants to share his pizza with his two brothers. How many slices will each boy have if they each have an equal amount?

Answers

Technician A says a rheostat has at least three electrical connections. Technician B says a potentiometer has at least three electrical connections. Who is right? Answer 4
4

Answer:

4 slices for all the brothers

Step-by-step explanation:

Zarko and Manchu are two ctas that like to catch fish in the pond in their backyard. Zarko can catch 5 fish evry hour, while manchu can catch 2 fish every half an hour. How long did it take them to catch 27 fish in all,

Answers

It takes 3 hours for the cats to catch 27 fish in the pond.

How long did it take them to catch 27 fish in all?

Zarko can catch 5 fish per hour.

Manchu can catch 2 fish every 0.5 of an hour, so in an hour, the cat would catch 2 times that, which is 4 fish.

When working together, the cats can catch 4 + 5 = 9 fish per hour

If the cats work for x hours, then they catch 9*x fish.

To get the time that takes them to catch 27 fish we just need to solve the linear equation:

9x = 27

Solving for x:

x = 27/9 = 3

It takes 3 hours for the cats to catch 27 fish in the pond.

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Problem
(a) Expand and simplify [tex](x^2+2)^2[/tex]
(b) Hence fully factorise [tex]x^4+4x+3[/tex]

Please do not give me irrelevant answers.

Answers

Answer:

a)

[tex](x^{2} + 2)(x^{2} + 2)\\x^{4} + 2x^{2} + 2x^{2} + 4\\= x^{4} + 4x^{2} + 4\\[/tex]

b)

[tex](x +1)(x + 1)(x^{2} -2x +3) = (x + 1)^{2} (x^{2} -2x +3)[/tex]

I ate 8/15 of the total amount of soup, then 140 ml of it remained in the bowl. how many milliliters of soup were there in the bowl originally?

Answers

Let t=original amount of soup

8/15 of t is 140
“Of” means multiply, “is” means equal to
Therefore
8/15t=140
t=140*15/8
t=262.5

Hope this helped :)

Craig ran 4 days last week. His distances were
3.25, 6.5, 7.25, and 10.5 kilometers. What was
his average distance per day for the 4 days?

Answers

6.875 average.

To calculate the average you add up all of the numbers and divide it by the number of numbers there are, in this case there are 4 numbers. So you add 3.25+6.5+7.25+10.5 and divide that by 4

MATH: FINDING HALF LIFE PT 2..HELP!

Answers

The half life of the radioactive Rutherford-265 is;

13.1 hours.

What is the half-life of the radioactive Rutherford-265?

It follows from the task content that the given function represents the decay function of the radioactive material. Since half-life corresponds to the point at which only half of the starting material remains, hence we have;

(1/2) = e ^(-0.053t)

By taking the natural log of both sides, we have;

-0.6931 = -0.053t

Hence, t = -0.6931/ -0.053 = 13.1 hours.

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What is the domain of the function on the graph

Answers

Answer:

Domain [-3 , ∞ ]

Step-by-step explanation:

Domain is the set of all inputs for which the given function is defined.

graphically it represents the shadow of the graph taken on the x axis from above and below the x axis

Here is the shadow will be formed from -3 till +∞, hence we have our domain  as [-3 , ∞ ]

Using the following information about the family’s assets and liabilities, calculate the debt ratio:

Answers

Based on the various assets and liabilities that the family has, the debt ratio can be calculated to be D. 54.1%.

How is the debt ratio calculated?

the debt ratio can be found as:

= Total debt / Total assets

Solving:

= (5,500 + 210,000 + 180,000+ 25,000) / (3,000 + 13,000 + 320,000 + 25,000 + 15,000 + 64,000 + 39,000)

= 258,500 / 479,000

= 54.1%

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X
What is the volume of the following rectangular prism?

Answers

Volume

Area of base×Height9/5×2/33/5×26/5units³1 1/5units³
Area of base=A=9/5units²Height=h=2/3units²

Volume

Ah9/5×2/36/5units³1-1/5 units ³

find the domain and range of the exponential function h(x) = 125x. explain your findings. as x decreases, does h increase or decrease? explain. as x increases, does h increase or decrease? explain.

Answers

We have an exponential growth. The domain is the set of all real numbers and the range is R: (0, ∞).

What can we say about the exponential function?

Here we have the exponential function:

[tex]h(x) = 125^x[/tex]

Notice that the base, 125, is larger than 1, which means that we have an exponential growth.

So, as x increases, also does h(x).As x decreases, also does h(x).

Now, the domain of any exponential equation is the set of all real numbers.

For the range, as x tends to negative infinity, the function will tend to zero.

And as x tends to infinity, h(x) also tends to infinity.

So the range is R: (0, ∞).

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If Mia works for 9 hours daily for 5 days in a week at a pay rate of $20.50per hour. Based on 8 hours a day rule what will be her gross income for that week?

Answers

Answer:

just multiply 20.50 by 8 and how many days she work in a week

(-2, 1), (-1, 4), (0, 4), (1, 6), (2, 7)

find domain and range

Answers

Answer:

(-2,-1,0,1,2)

(1,4,6,7)

sally has a pet snail that fell into a well.The well is 16 feet deep. Each day the snail climbs up 5 feet, but each night slides down 4 feet. How many days will it take Sallys snail to get to the top of the well

Answers

Answer:

16 days

Step-by-step explanation:

OK, The pet snail only moves a foot per day because at night it falls again, SO ima going with 16 days.

[<Answer>] (2):
Hello! I'm Avery. And I'm here to help! :)


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

[<The Explanation>}:

Sally has  pet snail that fell into a well.

(Depth of the well = 16 feet)

Snail climbs up 5 feet but each night it slides back down 4 feet.

So the snail climbs up per day = 5 feet - 4 feet = 1 feet.

Number of days snail took to reach at 11 feet = 11 × 1 = 11 feet

Remaining distance to cover by the snail = 16 - 11 = 5 feet

Number of days to cover remaining 5 feet to reach the top of the well = 1 day

Therefore, snail will take 12 days to reach the top of the well.

----------------------------------------------------------------------------------------------------------
[<Ending>] <3

Hope this helps and if it's wrong, you can't sue me! :D

Bye! Hope this works for you :)

Have a nice day! - Avery <3

A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 30 miles per gallon of gas. During one particular week, the two cars went a combined total of 1300 miles, for a total gas consumption of 50 gallons. How many gallons were consumed by each of the two cars that week?

Answers

20 gallons of gas was consumed by the car that has efficiency of 20 miles per gallon  and 30 gallons of gas was consumed by the car that has  efficiency of 30 miles per gallon .

How to find the consumption of gallons using equation?

The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 30 miles per gallon of gas.

Therefore,

let

x = number of gallons for car that consume 20 miles per gallon of gas

y = number of gallons for car that consume  30 miles per gallon of gas

Hence,

x + y = 50

20x + 30y = 1300

20x + 20y = 1000

20x + 30y = 1300

10y = 300

y = 300 / 10

y = 30

Therefore,

x = 50 - 30

x = 20

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Early in 2022, Pina Company switched to a just-in-time inventory system. Its sales revenue, cost of goods sold, and inventory amounts for 2021 and 2022 are shown below.

Answers

The Inventory Turnover for 2021 is 5.9 times and for 2022 is 10 times.

Inventory turnover

2021

Inventory Turnover = Cost of Goods sold / Average Inventory

Cost of Goods sold = $1,165,250/[($170,000+$225,000)/2]

Cost of Goods sold = $1,165,250/($395,000/2)

Cost of Goods sold = $1,165,250/197,500

Cost of Goods sold = 5.9 times

2022

Inventory Turnover = Cost of Goods sold / Average Inventory

Cost of Goods sold = $1,525,000/[($225,000+$80,000)/2]

Cost of Goods sold =  $1,525,000/($305,000/2)

Cost of Goods sold =  $1,525,000/152,500

Cost of Goods sold = 10 times

Therefore the Inventory Turnover for 2021 is 5.9 times and for 2022 is 10 times.

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The complete question is:

Pina Colada Corp. switched to a just-in-time inventory system. Its sales and Inventory amounts for 2021 and 2022 are shown below.

                                 2021            2022

Sales revenue $3,360,000  $3,900,000

Cost of goods sold  1,165,250 1,525,000

Beginning inventory  170,000 225,000

Ending inventory        225,000  80,000

Determine the inventory turnover for 2021 and 2022.

Find the missing angle in the diagram.

Help asap (Ty!)

Answers

94 ANSWER hope this helps
We need to find the last angle of the left triangle first:

All interior angles of a triangle = 180, so last angle must be 180-(66+40)=74

Now we can find the angle left to the missing one in the diagram, which can be found given that a straight line is equal to 180*, therefore the angle to the left of the missing angle is 180-(56+74)=50.

The final step is something we learned in step one, that the sum of the interior angles of a triangle is equal to 180*. Therefore, your answer is 180-(50+40)

=90.

Hope this helped :)

The length of one side of a triangle is 2 feet less than three times the length of its second side. The length of the third side is 3/4 of the sum of the lengths of the first two sides. Find the lengths of all three sides if the perimeter of the triangle is 17.5 feet.

Answers

Answer:

7 feet, 3 feet, 7.5 feet

Step-by-step explanation:

Let the sides be a, b and c.

Given

The length of one side of a triangle is 2 feet less than three times the length of its second side

a = 3b - 2

The length of the third side is 3/4 of the sum of the lengths of the first two sides:

c = (3/4)(a + b)

The perimeter of the triangle is 17.5 feet:

a + b + c = 17.5

Solution

Substitute a with b in the second equation:

c = (3/4)(3b - 2 + b) = (3/4)(4b - 2) = (3/4)(4b) - (3/4)(2) = 3b - 1.5

Now substitute a and c with b in the third equation and solve for b:

a + b + c = 17.53b - 2 + b + 3b - 1.5 = 17.57b - 3.5 = 17.57b = 17.5 + 3.57b = 21b = 3

Find the value of a:

a = 3b - 2 = 3*3 - 2 = 9 - 2 = 7

Find the value of c:

c = 3b - 1.5 = 3*3 - 1.5 = 9 - 1.5 = 7.5

The sides of the triangle are:

a = 7 feet, b = 3 feet, c = 7.5 feet

Maria just got a raise at work. She was making $9 per hour, but now she makes 150% of that amount.
Explain how you would find the amount of money Maria now makes per hour.

Answers

Answer: $13.50/hr

Multiply 9•1.50=13.50
1.50=150%
9=her original amount

150% of 9 is 13.50

A spring supporting a mass of 30 kg compresses 0.6 m. how far does the spring compress when it supports a mass of 10 kg? 0.1 m 0.2 m 1.2 m 1.8 m

Answers

The spring .2m far when it is compressed on being supported by a mass of 10kg.

Given: Mass of 30 kg which compresses spring by 0.6m

To find: The compression of the spring when it is supported by a mass of 10 kg

Concept: Compression springs are coiled springs that hold mechanical energy in a compressed state. When these springs are subjected to compressive loads, they compress and shorten, capturing and storing significant potential force.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

By using unitary method,

10 is 3 times less than 30.

so, 30/3=10

Also applying the same proportion over the lengths compressed,

we get, 0.6/3=.2

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It takes 96 pounds of seed to plant a 10 acre field how many acres can be planted per pound of seed

Answers

Answer:

9.6 lbs per acre

Step-by-step explanation:

96lbs for 10acres

96 divided by 10= 9.6 lbs per acre.

if 75 percent is 66 pounds what is the full cost​

Answers

If 75% is 66 pounds what is the full cost divided by 75 to get 1% multiplied this by 100 to find 100% 66*100/75=88

please solve for both parts ​

Answers

(a) The differential equation

[tex]y' + \dfrac14 y = 3 + 2 \cos(2x)[/tex]

is linear, so we can use the integrating factor method. We have I.F.

[tex]\mu = \displaystyle \exp\left(\int \frac{dx}4\right) = e^{x/4}[/tex]

so that multiplying both sides by [tex]\mu[/tex] gives

[tex]e^{x/4} y' + \dfrac14 e^{x/4} y = 3e^{x/4} + 2 e^{x/4} \cos(2x)[/tex]

[tex]\left(e^{x/4} y\right)' = 3e^{x/4} + 2 e^{x/4} \cos(2x)[/tex]

Integrate both sides. (Integrate by parts twice on the right side; I'll omit the details.)

[tex]e^{x/4} y = 12 e^{x/4} + \dfrac8{65} e^{x/4} (8\sin(2x) + \cos(2x)) + C[/tex]

Solve for [tex]y[/tex].

[tex]y = 12 + \dfrac8{65} (\sin(2x) + \cos(2x)) + Ce^{-x/4}[/tex]

Given that [tex]y(0)=0[/tex], we find

[tex]0 = 12 + \dfrac8{65} (\sin(0) + \cos(0)) + Ce^0 \implies C = -\dfrac{788}{65}[/tex]

and the particular solution to the initial value problem is

[tex]\boxed{y = 12 + \dfrac8{65} (\sin(2x) + \cos(2x)) - \dfrac{788}{65} e^{-x/4}}[/tex]

As [tex]x[/tex] gets large, the exponential term will converge to 0. We have

[tex]\sin(2x) + \cos(2x) = \sqrt2 \sin\left(2x + \dfrac\pi4\right)[/tex]

which means the trigonometric terms will oscillate between [tex]\pm\sqrt2[/tex]. So overall, the solution will oscillate between [tex]12\pm\sqrt2[/tex] for large [tex]x[/tex].

(b) We want the smallest [tex]x[/tex] such that [tex]y=12[/tex], i.e.

[tex]0 = \dfrac8{65} (\sin(2x) + \cos(2x)) - \dfrac{788}{65} e^{-x/4}[/tex]

[tex]\dfrac{788}{65} e^{-x/4} = \dfrac{8\sqrt2}{65} \sin\left(2x + \dfrac\pi4\right)[/tex]

[tex]\dfrac{197}{\sqrt2} e^{-x/4} = \sin\left(2x + \dfrac\pi4\right)[/tex]

Using a calculator, the smallest solution seems to be around [tex]\boxed{x\approx21.909}[/tex]

Whats the correct answer answer asap for brainlist

Answers

England should be the only one of these three. Spain and France also had colonies but are not choices.
england because italy and Ireland never captured any colonies

Select the correct answer. Absolute value functions coordinate plane parabola graphs. Parabola passes through points at (minus 2, 0), (minus 1.5, minus 2.5), (0, 5), (1, 0), (1.5, 2.5) and (2, 0) Which of the given functions could this graph represent? A. B. C. D.

Answers

The equation of parabola passing through coordinates A (-2,0), B (-1.5,-2.5), C (0,5), D (1, 0), E (1.5, 2.5), and F (2, 0) is y = -2.5(2x+4)², and the graph is attached.

What is a function?

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.

Given:

The coordinates of the point of parabola A (-2,0), B (-1.5,-2.5), C (0,5), D (1, 0), E (1.5, 2.5), and F (2, 0).

Calculate the equation of parabola by the formula given below,

[tex]y=a(x-h)^2+k[/tex]

Here (h, k) are the coordinates,

Put A (-2,0)

y = a[x- (-2)] ² + 0

y = a(2x + 4)²

Put B (-1.5,-2.5)

y = a[x- (-1.5)]² + (-2.5)

y = a(x + 1.5)² - 2.5

y = 2ax + 3a -2.5

Solve the above equation

a = -2.5

Thus, the equation of the parabola is,

y = -2.5(2x+4)²

Therefore, the equation of parabola passing through coordinates A (-2,0), B (-1.5,-2.5), C (0,5), D (1, 0), E (1.5, 2.5), and F (2, 0) is y = -2.5(2x+4)², and the graph is attached.

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Several students made comments about this image.
D
Which comment is true?
56:
"If I know the measures of A and B, I can subtract those measures from 180 to find the measures of the othe
two angles."
"If I know the measure of C, I can find the measure of angle A because they are the same."
"If I know the measures of angles C and B, I can find the measures of A and D."
"If I know the measure of angle A, I can find the measure of angle D by subtracting from 180."

Answers

Answer:

"If I know the measures of A and B, I can subtract those measures from 180 to find the measures of the other

two angles."

Step-by-step explanation:

i did it

suppose that 18 inches of wire costs 90 cents. At the same rate, how many inches of wire can be bought for 55 cents?

Answers

Answer:

11 inches

Step-by-step explanation:

90 divided by 18 is 5 so each inch is worth 5 cents so 55 cents would give you 11 inches of wire because 55/5 is 11

Which of the relations given by the following sets of ordered pairs is a function? {(−5,−4),(−4,−3),(−3,−2),(−4,−5),(−2,−1)} {(0,3),(−6,8),(−3,5),(0,−3),(7,11)} {(2,4),(2,6),(2,8),(2,10),(2,12)} {(8,1),(−4,1),(3,5),(0,4),(−1,2)} ​

Answers

The relations from the following sets of ordered pairs which is a function is; {(8,1),(−4,1),(3,5),(0,4),(−1,2)}

Which of the relations given by the following sets of ordered pairs is a function?

It follows from the definition of a function that a function from an array of X-values to a set Y-values assigns only one Y-value to each X-value.

Hence, it follows from the definition above that the relation; {(8,1),(−4,1),(3,5),(0,4),(−1,2)} is that which is a function.

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Select the correct answer.
Which equation represents the line that is perpendicular to y = 1/4 and passes through (-6,-9)?
A. x = -9
B. X=-6
C. y=-9
D. y=-4

Answers

Answer:

B. x = -6

Step-by-step explanation:

Use a graphing calculator such as desmos and enter each equation, you'll find the only one that falls on (-6, -9) and is perpendicular is B.

Answer:

B. x = -6

Step-by-step explanation:

pls solve...I will mark as BRAINLIST........​

Answers

Answer:

Step-by-step explanation:

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Post-communist reforms in many Central European countries, particularly Romania and Bulgaria, have been hampered by: The author most likely included this paragraph toRead the paragraph from The Hot Zone.Jerry Jaax was going to be the first man in, the point man. He had decided to take with him one of his officers, Captain Mark Haines, a former Green Beret. He was a short, intense man with a whipcord body who had been through the Green Berets' scuba-diving school. He had jumped out of airplanes at night into the open sea, wearing scuba gear. ("I'll tell you one thing," Haines once said to me. "I don't do scuba diving for fun as a civilian. The majority of my diving has been in the Middle East.") Captain Haines was not a man who would get claustrophobia and go into a panic in a space suit. Furthermore, Captain Haines was a veterinarian. 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