27 33 34 35 37 39 40 41 54 84,75,90,87,99,91,85,88,76,92,94 median: first quartile: third quartile: interquartile range:

Answers

Answer 1

Final answer:

For the given data, the median is 85, the first quartile is 37, the third quartile is 90.5, the interquartile range (IQR) is 53.5, and the range is 72.

Explanation:

The median in a dataset is the middle value when the values are arranged in numerical order. For the given data 27, 33, 34, 35, 37, 39, 40, 41, 54, 75, 84, 75, 90, 87, 99, 91, 85, 88, 76, 92, 94, after arranging them in ascending order, the median (Q2) is the value positioned at the center of the dataset. Since there are 21 values, the median is the 11th value, which is 85. The first quartile (Q1) is the median of the first half (lower half) of the dataset, which is the value in the 5.5th position, so we average the 5th and 6th values to get 37. Similarly, the third quartile (Q3) is the median of the second half (upper half) of the dataset, which would be the average of the 16th and 17th values, yielding 90.5. The interquartile range (IQR) is the difference between the third quartile and the first quartile, so IQR = Q3 - Q1 = 90.5 - 37 = 53.5. The range of the dataset is the difference between the maximum and minimum value which is 99 - 27 = 72.

Related Questions

the temperature at 10 am was -7°F. By noon, the temperature had dropped 12°F. By 2 pm, it had dropped another 5°F. what was the temperature at 2 pm?

Answers

-7°F minus 12°F equals -19°F minus another 5°F is -24°F

name the shaded region in three equivalent forms 2/3 in to a fraction,decimal, and percent

Answers

Fraction: 2/3

Decimal: .33 (for middle schoolers I suppose)

Percent: 33% (Please Learn you math)

I hope this helped you

The raised vegetable garden in Susan's yard is in the shape of a rectangular prism with a volume of 48 cubic feet and a height of 3/4 foot.
PLEASE DO THE WORK AND SHOW ME!!!!!
Please answer, and I'll ask this and I'll do the question again, and I'll do the same points.
Please thankyou
No jokes!!!!!!!!!

Answers

Final answer:

To find the dimensions of the raised vegetable garden, we need to solve for the length and width using the given volume and height.

Explanation:

To find the volume of the raised vegetable garden, we multiply the area of the base by the height. In this case, the base is a rectangle, so its area is length times width. Let's call the length of the garden L and the width W. The volume (V) is given as 48 cubic feet and the height (H) is 3/4 foot. Therefore, we have the equation V = L x W x H. Substituting the given values, we get 48 = L x W x 3/4. To solve for L and W, we need to choose possible values for them that satisfy the equation. Let's start by considering possible values for L and W: L = 16 feet and W = 3 feet. Substituting these values into the equation, we have 48 = 16 x 3 x 3/4. Simplifying, we get 48 = 144/4, which is not true. Therefore, our initial guess for the values of L and W is incorrect. Let's try another set of values: L = 12 feet and W = 4 feet. Substituting these values into the equation, we have 48 = 12 x 4 x 3/4. Simplifying, we get 48 = 144/4, which is true. Therefore, the raised vegetable garden is 12 feet long and 4 feet wide.

Find the lowest common denominator of the following fractions. 5/n-2 and n+2/n^2-4

Answers

The denominator of the second fraction is the difference of squares, so can be factored using the formula for that.
(n^2 -4) = (n -2)(n +2)

Now, you will note that the second fraction has a numerator that is equal to one of the factors in the denominator. In other words, the whole fraction can be simplified to ...
(n +2)/((n +2)(n -2)) = 1/(n -2) . . . . with the restriction n≠-2

This reduced form of the fraction has the same denominator as the first fraction, so you can say that the lowest common denominator is that: (n -2).

_____
If there is some reason you don't want to reduce the second fraction, the lowest common denominator will be (n -2)(n +2).

Final answer:

The lowest common denominator of the fractions 5/(n-2) and[tex](n+2)/(n^2-4)[/tex] is[tex]n^2 - 4,[/tex] which is the factored form of the denominator of the second fraction.

Explanation:

The question asks to find the lowest common denominator (LCD) of two fractions: 5/(n-2) and (n+2)/[tex]n^2 - 4,[/tex]. To do this, we need to factor each denominator, if possible, and then determine the LCD. The second denominator can be factored into (n+2)(n-2) since it is a difference of squares. For the LCD, we need each factor present at least as many times as it occurs in any one of the denominators. The first fraction is already missing the (n+2) factor, so we multiply the numerator and the denominator of this fraction by (n+2) to have an equivalent fraction with the common denominator.

The common denominator then is (n+2)(n-2), equivalent to[tex]n^2 - 4,[/tex] So the LCD of the two fractions is[tex]n^2 - 4.[/tex] We can use this denominator to combine fractions or compare them. No further steps are necessary because the second fraction already has the LCD. Therefore, the LCD for both fractions is [tex]n^2 - 4.[/tex]

If f(x)=x-6 and g(x)=x1/2(x+3), find g(x) times f(x)

Answers

To solve this problem you must apply the proccedure shown below:
1. You have the following functions given in the problem above:
[tex]f(x)=x-6 [/tex] and [tex]g(x)=x1/2(x+3)=x(x+3)/2 [/tex]
2. You have that g(x) times f(x) can be written as g(x)*f(x). Therefore, you must multiply f(x) * g(x), as following:
[tex]g(x)*f(x)=(x-6)*x(x+3)/2 [/tex]
3. Applying the distributive property, you have:
[tex]g(x)*f(x)=( x^{3} + 3x^2 - 6x^{2} -18x)/2[/tex]
[tex]g(x)*f(x)=(x^{3} - 3x^{2} -18x)/2 [/tex]
The answer is: [tex]g(x)*f(x)=(x^{3} - 3x^{2} -18x)/2[/tex]

what happens when you add 1 to a number

Answers

um the value of the number increases by 1

Hey can you please help me posted picture of question

Answers

C.
____________________

G(x) = F(x + 4) + 2

Addition of a number to x indicates a shift towards left. Since 4 is being added to x, this means function is shifted to left by 4 units.

Addition of a number to the function represent an upward shift. Since 2 is being added to the function value, this mean function is shifted up by 2 units.

So, G(x) is obtained by shifted F(x) 4 units to left and 2 units up.

Thus, option C is the correct answer

the function f(x)=2^x. the function f(x)= 2^x+k and K < 0. which of the following statements is true

Answers

from experience it is f of x equals two to the square root of x

Employee Earnings per month($) 1 1,200 2 2,600 3 1,800 4 1,450 5 3,500 6 2,800 7 12,500 8 3,200 Which measure of spread is best for the data in the table?

Answers

Answer: Interquartile range

Step-by-step explanation:

Interquartile Range:

Q3 - Q1 Find Q2 then Q3 then Q1. Then subtract Q3 and Q1.

This is the most accurate out of all measures of spread.

Hope this helps :)

The measure of spread is best for the data in the table is mean absolute deviation.

What is data table?

Tables are a useful tool used to present data in an organized and easy-to-understand format. They typically consist of rows and columns that contain information, and can even be structured in more complex ways. Tables are often used in communications, research, and data analysis.

The given data is 1200, 2600, 1800, 1450, 3500, 2800, 12500 and 3200.

Mean absolute deviation (MAD) is a measure of variation in a data set, calculated by taking the average of the absolute differences between each data value and the mean. It gives an indication of how far each data point is from the mean, providing an easy way to detect the spread of the data. MAD is a useful tool for understanding the range of values within a data set, and it can be used to compare different sets of data to each other.

Therefore, the measure of spread is best for the data in the table is mean absolute deviation.

Learn more the mean absolute deviation here:

https://brainly.com/question/10528201.

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Q # 2 Graph TWX and it's image after a rotation of 90° counterclockwise about the origen

Answers

For a rotation of 90o: (x, y) ⇒ (–y, x)
T(3,4) ⇒⇒⇒ T'(-4,3)
W(-2,-1) ⇒⇒⇒ W'(1,-2)
x(-3,3) ⇒⇒⇒ x'(-3,-3)

see the attached figure

Tanisha cut a triangle with angles of 34°, 67°, and 79° in three pieces so that each piece had one angle of the triangle. She arranged the three angles connected together such that the three corners of the triangle were all touching. What type of angle was formed and what does this show?

Answers

A straight angle was formed when Tanisha arranged the three angles. This shows that the sum of the measures of the three angles in the triangle is equal to the straight angle, that is, the angle sum is 180 degrees. Also, this shows that whatever the position of the three sides of the triangle is, the total degrees of the angles is always 180.

Which expression represents the volume of the box? use the formula v=lwh 3x+1, 2x-1 ×+2

Answers

The expression of the volume of the box with dimensions of
(3x+1) by (2x-1) by (x+2) will be:
volume, V=lwh
plugging the values we get:
V=(3x+1)(2x-1)(x+2)
Expanding the above we get:
V=(3x+1)(2x^2+3x-2)
V=3x(2x^2+3x-2)+1(2x^2+3x-2)
V=6x^3+9x^2-6x+2x^2+3x-2
V=6x^3+11x^2-3x-2
Hence the expression for the volume will be:
V=6x^3+11x^2-3x-2

Find the nth term of the sequence, then find the 20th term, 100th term and the series for each?

2/5, 1/15, -4/15,....

Answers

[tex]a_1=\dfrac{2}{5}=\dfrac{6}{15}\\\\a_2=\dfrac{1}{15}\\\\a_3=-\dfrac{4}{15}\\\\a_2-a_1=\dfrac{1}{15}-\dfrac{6}{15}=-\dfrac{5}{15}=-\dfrac{1}{3}\\\\a_3-a_2=-\dfrac{4}{15}-\dfrac{1}{15}=-\dfrac{5}{15}=-\dfrac{1}{3}[/tex]

It's an arithmetic sequence where

[tex]a_1=\dfrac{2}{5}\ and\ d=-\dfrac{1}{3}[/tex]

nth term of the arithmetic sequence is equal:

[tex]a_n=a_1+(n-1)d[/tex]

Substitute:

[tex]a_n=\dfrac{2}{5}+(n-1)\cdot\left(-\dfrac{1}{3}\right)\\\\a_n=\dfrac{2}{5}-\dfrac{1}{3}n+\dfrac{1}{3}\\\\a_n=\dfrac{6}{15}+\dfrac{5}{15}-\dfrac{1}{3}n\\\\\boxed{a_n=\dfrac{11}{15}-\dfrac{1}{3}n}[/tex]

Other form:

[tex]a_n=\dfrac{11}{15}-\dfrac{5}{15}n\\\\\boxed{a_n=\dfrac{11-5n}{15}}[/tex]

[tex]a_{20}=\dfrac{11-5\cdot20}{15}=\dfrac{11-100}{15}=\dfrac{-89}{15}\\\\a_{100}=\dfrac{11-5\cdot100}{15}=\dfrac{11-500}{15}=\dfrac{-489}{15}=-\dfrac{163}{5}[/tex]

PLZ HELP ASAP CIRCLES

Answers

First we need to convert the given equation to standard form, then we can write the center and radius directly from it.

[tex] x^{2} -16x+ y^{2} -36=0 \\ \\ x^{2} -2(x)(8)+ y^{2} = 36 \\ \\ x^{2} -2(x)(8)+ 8^{2}+ y^{2} =36 +8^{2} \\ \\ (x-8)^{2}+y^{2}=100 [/tex]

Thus, we can say now:

Center of the circle is (8,0) and its radius is 10.

A taco stand sells tacos for $3.25 each. The stands expenses for the day are $210. Define your variables and write an inequality to represent the amount of tacos they need to sell per day to make a profit, and then slice the inequality. Provide your conclusion as a complete sentence.

Answers

Given:

Let P= profit
let n= no. of tacos sold per day

Sol'n:

P= 3.25n-210
the profit needs to be positive, thus

3.25n>210

n>210/3.25

n> 64.615

they can only sell whole tacos, therefore they must sell at least 65 tacos to make a profit and that profit is:

P=3.25n-210

P=3.25*65 - 210

P= 211.25 -210

P= 1.25

$1.25 profit

Leo, Kush and Mai share some money in the ratio 3:5:8
Kush receives £750 more than Leo.
Calculate total amount of money that they shared.

Answers

Let the amount Leo received be £x Kush received be £(x+750)
The ratio in which they received cash is 3:5:8
the difference in ration between Kush and Leo=£(5-3)=£2
Total ratio is: 16
thus the total amount was:
16/2×750
=£6000

Identify the figure formed by the net.

•Square pyramid
•Hexagonal prism
•Cylinder
•Cube

Answers

Hello!

the answer is CUBE

I hope this helps, and have a nice day!

At the ice-cream parlor you can choose from 4 flavors of ice cream, 2 types of sauce, and 3 different toppings when ordering a sundae. How many possible sundaes can be ordered?

Answers

possibilities are 4*2*3 = 24 different sundaes

Simplify radical expression. Leave in radical form. the squarefoot of 7(the squarefoot of 14+the squarefoot 3)

Answers

To solve this problem you must apply the proccedure shown below:

1- You have the following radical expression given in the problem above:

(√7)(√(14)+√(3))

2- When you apply the distributive property, you obtain:

(√7)(√(14))+ (√7)(√(3))

3-Simpliying, you have:

(7√2)+(√21)

4- Therefore the answer is: (7√2)+(√21)

Julius is buying beverages for brunch he needs to buy a total of 5 gallons of beverages he decides to buy two containers of each of the following beverages 2 pints of milk 2 quarts of orange juice 16 cups of milk 32 oz of lemonade . how many gallons of beverages did he buy

Answers

This will be calculated as follows:
1 pint=0.125 gallons
1 quart=0.25 gallons
1 cup = 0.0625 gallons
1 oz = 0.0078125 gallons
thus amount of :
milk bought
0.125*2=0.25 gallons

orange juice bought:
0.25*2=0.5 gallons

milk bought:
16*0.0625=1 gallon

lemonade bought:
32*0.0078125=0.25 gallons

Thus total gallons made was:
0.25+1+0.5+0.25
=2 gallons

The amount of beverages did he buy will be 2 gallons.

What is conversion?

Conversion means to convert the same thing into different units.

Julius is buying beverages for brunch he needs to buy a total of 5 gallons of beverages he decides to buy two containers of each of the following beverages 2 pints of milk, 2 quarts of orange juice, 16 cups of milk, and 32 oz of lemonade.

We know the conversion

1 pint = 0.125 gallons

1 quart = 0.25 gallons

1 cup = 0.0625 gallons

1 oz = 0.0078125 gallons

Then the amount of beverages did he buy will be

Milk bought

0.125 x 2 = 0.25 gallons

Orange juice bought:

0.25 x 2 = 0.5 gallons

Milk bought:

16 x 0.0625 = 1 gallon

Lemonade bought:

32 x 0.0078125 = 0.25 gallons

Thus total gallons made will be

→ 0.25 + 1 + 0.5 + 0.25

→ 2 gallons

More about the conversion link is given below.

https://brainly.com/question/9414705

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Trica's mother let her play outside for 15 minutes. When she went outside,she played with her dog for 5 minutes.Then she rode her bike for 4 minutes .She spent the rest of her time catching bugs.how many minutes did Trica spent catching bugs?

Answers

to get the answer, you subtract the time she spent playing with her dog (5 minutes) from 15. 15-5=10. then you subtract the time she rode her bike (4 minutes). 10-4=6. since there are 6 minutes left, she spent 6 minutes catching bugs

easy 6 minutes because the other minutes trica spent doing something else equal 9 minutes and we need 15 minutes so 6 +9 =15 right so that is y it is 6 ur welcome

two angles are supplementary. One of the angles has a measure of 60 degrees. What is the measure of the other angle?

Answers

Answer:

120°

Step-by-step explanation:

you plant 30 african violet seeds and 9 of them sprout use experimental probability to predict how many will sprout if you plant 20 seeds

Answers

Given that out of 30 planted seeds only 9 of the m sprouted, then:
Experimental probability =(number of occurrence of event)/(total number of trials made)
=9/30
=3/10
thus the number of seeds that will sprout given that 20 seeds we planted will be:
3/10×20
=6 seeds

6 seeds are required that will sprout if you plant 20 seeds.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

It is given that out of 30 planted seeds only 9 of them sprouted, then

Experimental probability =(number of occurrences of the event)/(total number of trials made)

=9/30

=3/10

thus the number of seeds that will sprout given the 20 seeds we planted will be

3/10×20

=6 seeds

Therefore, 6 seeds are required that will sprout if you plant 20 seeds.

Learn more about probability :

brainly.com/question/795909

Jill earns $18.59 per hour. what is her gross earnings if she worked 46 hours. jill earns time and a half for overtime work.

Answers

We assume Jill's full-time work week is 40 hours, so that any hours in excess of that are overtime.

There are a couple of ways to think about overtime pay.
1) Figure the number of overtime hours, and multiply that number by 1.5 times the base pay. (OT pay) = (OT hours)*(1.5*(base pay))

2) Figure the number of overtime hours, and multiply that number by 1.5, then by the base pay. (OT pay) = ((OT hours)*1.5)*(base pay)

You can see the product is the same, only the sequence of computation is changed.

Then Jill's gross earnings can be computed as ...
(40 h +(6 h)*1.5)*(base pay)
(49 h)*($18.59/h) = $910.91

Jill's gross earnings for 46 hours' work will be $910.91.

What is the domain of the function log(x-4) +4?

Answers

[tex]\log(x-4)+4\\\\\text{the domain:}\\\\x-4 > 0\ \ \ |+4\\\\x > 4\to x\in(4;\ \infty)[/tex]

the log of 0 is not defined, so the criterion to use here is that the input to the log function must be greater than zero.

Thus, x-4 ≥ 0, or x ≥ 4 (answer)

Find the measure of each angle

Answers

using the rules of complimentary angle, vertical angles, etc:

9 = 180 - 60 = 120
10 = 180 -80 = 100
6 = 9 = 120
5 = 60
4 = 80
7 = 10 = 100
1=60
3 = 80
2 = 180 - 60 - 80 = 40
8 = 1 = 60

Please help the answer are
12
4
X
X+4
-16
16
X+12
X^2

Answers

Step 1:
x² + 4x = 192

Step 2:
Take x common:
x ( x + 4) = 192

Length is x and width is x+4

Step 3:

x² + 4x - 192 = 0

Step 4:

x² + 16x - 12x - 192 = 0
x(x+16) - 12(x+16) = 0
(x-12)(x+16) = 0

⇒ x=12, x=-16

Because the length can't be -16, the length is 12.

Step 2: {4, x+4}
Factoring x²+4x, you get x(x+4). If you call the length x, then the width is the other factor, x+4.

Step 4: {16}
You know this two ways. -192/-12 = 16, and 4 -(-12) = 16, where 4 is the coefficient of x in step 3.

Last line: {-16, 16}
The values of x that make the factors zero are -16 and 12. Since these are supposed to represent lengths, an appropriate answer cannot be negative (-16). The width is x+4 = 12+4 = 16.

Hey can you please help me posted picture of question

Answers

6(6 sided) choices for the die, and 8 choices(sections), so there are 6*8 = 48 total possibilities :)

there are 6 numbers on a die

the spinner has 8 sections

total possibilities = 6 x 8 = 48
the answer is B.

The graph of a hyperbola is shown. what is the length of the transverse axis

Answers

the transverse axis is the distance between the two vertices ( where the lines cross the x axis)

the one on the left is at (0,-9) the one on the right is st (0,9)

distance between -9 and 9 = 18

the length of the transverse axis is 18

The length of the transverse axis is 18 units.

What is the transverse axis of a hyperbola?

"The transverse axis is a line segment that passes through the center of the hyperbola and has vertices as its endpoints."

Given, the vertices of the hyperbola are at (-9, 0) and (9, 0).

Therefore, the length of the transverse axis is

[tex]= (9+9) units\\= 18 units[/tex]

Therefore, the length of the transverse axis is 18 units.

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Linda bought circular table clothe that was a radius of 3 feet. What is the circmference to the nearest foot of linda's table cloth? (using Pie 3.14

Answers

we know that
[circumference]=2*pi*r
for r=3 ft
[circumference]=2*pi*3-----> 18.84 ft-------> nearest foot-----> 19 ft

the answer is
19 ft

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