What is the median, first quartile third quartile and interquartile of 38 46 55 56 558 59 61 65 67 75

Answers

Answer 1

Answer:

Median = 58.5

Q1 = 55

Q3 = 65

Interquartile = 10

Step-by-step explanation:

first let’s correct the data set :

It’s 38 46 55 56 58 59 61 65 67 75  not   38 46 55 56 558 59 61 65 67 75

Data set : 38 46 55 56 58 59 61 65 67 75

Median:

After we put Our data set from Smallest to largest

we define the median as the middle number of the data set but our set consists of an even number which is 10

In this case the median is the average of the two middle numbers which are the 5th and 6th numbers

38 46 55 56 [58 59] 61 65 67 75

Then

Median = (58+59)/2 = 117/2 = 58.5

quartile 1 : It’s just the median of the lower set of numbers which means it’s the median of : 38 46 55 56 58

Then Q1 = 55 because it’s the middle number.

quartile 3 : It’s just the median of the upper set of numbers which means it’s the median of : 59 61 65 67 75

Then Q3 = 65  (Easy to spot)

Interquartile = Q3 - Q1 = 65 - 55 = 10


Related Questions

at what time do u have to get out of the house if your walking 32 min to school school starts at 8 opens at 7:40

Answers

Answer:

7:10 or 7:20

Step-by-step explanation:

it allows time for the doors to open and time to get to class

PLS HELP!!!!
No links pls and Ty<33!!!!

Answers

Answer:

r=20

d=40

40*3.14=125.6

circumference = 125.6

Step-by-step explanation:

Olivia grows onions. She has 9 onions in each row of her garden. Her garden has 5 rows. Today she harvested 7 onions. How many onions are left growing in her garden?

Answers

I think the answer is 38

please help with this question

Answers

my suggestion would be to break it down into 3 rectangles.

the top being 9mm x 13mm = 117mm^2
the middle being 2mm x 11mm = 22mm^2
the bottom being 4mm x 6mm = 24mm^2

and add them up

For a total of 163mm^2

A volleyball player hits a ball from a height of 6 feet with an initial vertical velocity of 16 feet per second. What is the maximum height of the volleyball? Assuming it is not hit by another player, when will the volleyball hit the ground? Round the answers to two decimal places if necessary.
The maximum height of the volleyball is ___
feet.

The volleyball will hit the ground after ___
seconds.

Answers

Considering a quadratic equation, it is found that:

The maximum height of the volleyball is of 19.06 feet.The volleyball will hit the ground after 3.6 seconds.

What is the quadratic equation for an object's height?

Considering the height in feet, it is given by:

h(t) = -4.9t² + v(0)t + h(0)

In which:

v(0) is the initial velocity.h(0) is the initial height.

In this problem, we have that h(0) = 6, v(0) = 16, hence the equation is given by:

h(t) = -4.9t² + 16t + 6

Which is a quadratic equation with coefficients a = -4.9, b = 16, c = 6. Hence the maximum height is found as follows:

[tex]\Delta = b^2 - 4ac = 16^2 - 4(-4.9)(6) = 373.6[/tex]

[tex]h_{MAX} = -\frac{\Delta}{4a} = -\frac{373.6}{-4(4.9)} = 19.06[/tex]

The maximum height of the volleyball is of 19.06 feet.

It hits the ground at the roots, hence:

The solutions are:

[tex]x_1 = \frac{-16 + \sqrt{373.6}}{-9.8} = -0.34[/tex]

[tex]x_2 = \frac{-16 - \sqrt{373.6}}{-9.8} = 3.6[/tex]

Time is a positive measure, hence:

The volleyball will hit the ground after 3.6 seconds.

More can be learned about quadratic equations at https://brainly.com/question/24737967

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. A rectangular tank is 32 cm wide and 45 cm long. It
contains three identical plastic water plants and is
filled with water to a height of 10 cm. When Amy
pulls all three plastic water plants out of the tank,
the height of the water drops to 8 cm. Find the
volume of one plastic water plant.
PLEASE HELP!! WILL GIVE BRAINLIEST

Answers

Answer: 960^3 cm or 960 cubic centimeters

Step-by-step explanation:

Cubic because measuring 3 dimensions.

32x45 = area of given face

32x45= 1440

height of water = 10 cm

so,

area of given face x 10 =

32x45x10 or lxwxh (Volume)

so

1440x10= 14,400

1440x8= 11,520

so 14,400 - 11,520 = 2880

V of three plants = 2880

so, 2880/3 = volume of one plant

2880/3=960

V of singe plant = 960 units ^ 3

The difference in volumes represents the total volume of three plants, so answer should be divided by 3.

Hope This Helped!

Answer:  one plastic water plant volume =  960 cm³

Step-by-step explanation:

Total volume = Water Volume + 3 plants volume

Total Volume = 32 cm x 45 cm x 10 cm = 14 400 cm³

Water volume = 32 cm x 45 cm x 8 cm = 11 520 cm³

3 Plants volume = 14,400 cm³ - 11,520 cm³ = 2880 cm³

1 Plant volume = 2,880 cm³ : 3 = 960 cm³

1. Which of the following is 60% in fraction form? A. 2/5 B. 3/5 2. What is 2/5 in percent? C. 4/5 D. 1/5 A. 20% B. 40% C. 80% D. 30% 3. What is 1/3 in decimal? A. 0.222 B. 0.333 C. 0.667 D. 0.445 4. What is 250 in the statement 24% of 250 is 60? A. base B. rate C percent D. percent 5. What is the equivalent of 48/100 in decimal form? A. 0.48 B. 0.048 C. 0.408 D. 0.0048 6. What do you call the quantity that represents the whole? A. base B. rate C. percent D. percentage 7. Which term is described as the quantity that is part of the base? A. base B. rate C. percent D. percentage 8. Which represents base in 30% of 300 is 90? A. 30 B. 90 C. 300 D. 30% 9. In the statement 24% of 250 is 60, which represents rate? A.0.24 B. 24% C. 60 D. 250 10. If 30% of 300 is 90, what do you call 90? A. base B. rate C. portion D. percentage 11. In the statement "18 is girls in the class of 60 learners? A. 3:12 B. 5:20 C. 1:4 D. All of these 16. Seven of the 35 boys in the class wear eyeglasses. What percent of the boys wear eyeglasses? Which of the following is asked in the problem? A. Base B. Rate C. Percentage D. Proportion any one help meg


Answers

1. 60% can be written as 60/100, simplified as 3/5
2. 2/5 is 40/100, can be written as 40%
3. 1/3 is 33.33333...% -> 0.(3) [ infinite recurring decimals if i remember  correctly]
4. 250 here is the base (original number)
5. 48/100 can be written as 48% -> 0.48
6. base
7. percentage
8. 300
9. 24%
10. portion
11. (i dont know what this mean, next time write it more carefully)
12. percentage

A,c,d,a,b,d,a those are your answers

Find the value of x in
2x + 3x = 20+x​

Answers

Hey there!

2x + 3x = 20 + x

5x = 20 + x

20 + x = 5x

SUBTRACT x to BOTH SIDES

5x - x = 20x + x - x

5x - 1x = 20x + 1x - 1x

SIMPLIFY IT!
4x = 20

DIVIDE 4 to BOTH SIDES

4x/4 = 20/4

SIMPLIFY IT!
x = 20/4

x = 5


Therefore, your answer is: x = 5


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Mark works 40 hours per week at a store.
He earns $8.75 per hour.
Each week $36 is deducted from his paycheck for taxes.
how much money does mark earn, after taxes have been deducted,during a 4-week period
A. $314
B. $386
C. $1,256
D. $1,364

Answers

Answer

not to sure but i think its number 3

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Which statements about the graph of the function f(x) = –x2 – 4x 2 are true? select three options. the domain is {x|x ≤ –2}. the range is {y|y ≤ 6}. the function is increasing over the interval (–[infinity] , –2). the function is decreasing over the interval (−4, [infinity]). the function has a positive y-intercept.

Answers

The graph of the function f(x) = –x^2 – 4x +2 are true options 1 and 4 are correct.

We have the given,

The graph of the function f(x) = –x^2 – 4x+ 2

The statements that agree with the graph of the equation are as follows:

1. The domain is {x|x ≤ –2}.

What is the domain?

The set of points at which function is defined.

4. The function is decreasing over the interval (−4, ∞).

From the given graph,

We can say that the above statements are true.

To learn more about graphical functions visit:

https://brainly.com/question/4025726

Answer:

yes

Step-by-step explanation:

Write these numbers in standard form:
A. 400
B. 6000
C. 2000000
D. 0.4

Answers

A. 400

= 4 × 10^2

B. 6000

= 6 × 10^3

C. 2000000

= 2 × 10^6

D. 0.4

= 4 × 10^-1

( to find the standard form just count the zeros. )

a)= 4×10^2

b)= 6×10^3

c)= 2×10^6

d)= 4×10^-1

hope this helps

A football is thrown into the air from an initial height of 4 feet with an upward velocity of 46 ft/sec. The function h = -16t² + 46t + 4 gives the height after t sec.

whats the vertex?

axis of symmetry?

solutions?

2 other points?

and i know the balls max height is 37.06

Answers

Answer:

Vertex = (1.4375, 37.0625)

Axis of symmetry:  t = 1.4375

x-intercept: (2.9595, 0)

y-intercept: (0, 4)

another point: (2, 32)

Step-by-step explanation:

Given function:  [tex]h(t)=-16t^2+46t+4[/tex]

(where h is the height in feet and t is the time in seconds)

The vertex is the turning point of the parabola.

To find the x-value of the turning point, differentiate the function:

[tex]\implies h'(t)=-32t+46[/tex]

Set it to zero:

[tex]\implies h'(t)=0[/tex]

[tex]\implies -32t+46=0[/tex]

Solve for t:

[tex]\implies 32t=46[/tex]

[tex]\implies t=\dfrac{23}{16}[/tex]

Input found value of t into the function to find the y-value of the vertex:

[tex]\implies h(\frac{23}{16})=-16(\frac{23}{16})^2+46(\frac{23}{16})+4=\dfrac{593}{16}[/tex]

Therefore, the vertex is [tex]\left(\dfrac{23}{16},\dfrac{593}{16}\right)[/tex] or (1.4375, 37.0625) in decimal form.

The axis of symmetry is the x-value of the vertex.

[tex]\implies \textsf{Axis\:of\:Symmetry}:t=\dfrac{23}{16}=1.4375[/tex]

To find the x-intercepts, use the quadratic formula.

Quadratic Formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]

[tex]\implies t=\dfrac{-46 \pm \sqrt{46^2-4(-16)(4)} }{2(-16)}[/tex]

[tex]\implies t=\dfrac{-46 \pm \sqrt{2372}}{-32}[/tex]

[tex]\implies t=\dfrac{23 \pm \sqrt{593}}{16}[/tex]

As time is positive,

[tex]\implies t=\dfrac{23 + \sqrt{593}}{16}=2.959474458...\:\sf s\quad only[/tex]

The y-intercept is when t = 0:

[tex]h(0)=-16(0)^2+46(0)+4=4[/tex]

So the curve intercepts the y-axis at (0, 4)

Because of the modelling of the function, there will be a restricted domain:  0 ≤ t ≤ 2.9595

Therefore, to find another point, input a value in the domain into the function and solve:

[tex]t=2 \implies h(2)=-16(2)^2+46(2)+4=32[/tex]

⇒ (2, 32)

find surface area for a rectangular prism​

Answers

Answer:

the surface are is 34.64

Step-by-step explanation:

What is the final answer ?

Answers

Answer:

16 feet

Step-by-Step Explanation:

If you graph it, the vertex will be (3,16) and that means 16 feet is the maximum height of the diver.

What is the solution to the equation below?
Blog4x = log232+ log 2
O X=-8
O
X=-4
O x=4
X-
X-8

Answers

Answer:

x = 4

Step-by-step explanation:

When you have a coefficent in front of a logarithm function, you can take the argument to the power of that coefficient. For example, the 3 in front of the logarithm can be brought into the argument, and you can take 'x' to the third power. You get:

[tex] log_{4}( {x}^{3} ) = log_{4}(32) + log_{4}(2) [/tex]

When you add logarithms, it is equivalent to multiplying their arguments:

[tex]log_{4}( {x}^{3} ) = log_{4}(32 \times 2) = log_{4}(64) [/tex]

Since both sides are log base 4, the arguments must equal each other:

[tex] {x}^{3} = 64[/tex]

[tex]x = \sqrt[3]{64} = 4[/tex]

here it is, this is ur answer x=4

Part A

Which statements are central ideas of Library on Wheels: Mary Lemist Titcomb and America's First Bookmobile?

Select the two correct answers.


Mary was not afraid to be a pioneer.

Mary worked hard to better the library experience.

Mary believed libraries were mainly for the rich.

Mary's friends supported her decision to move to Maryland.
Question 2
Part B

Which two details from the text best support the answers in Part A?


"But Mary, always independent, was eager to take on this new challenge."

"'…It remained for Miss Titcomb to show us that libraries are intended for the middle class of people, the working man and woman and children particularly.'"

"She continually looked for ways to improve librarianship, to render it both more efficient and more far-reaching."

"Mary's friends and family thought it would be unwise for her to leave her secure position in Vermont to go by herself to rural Maryland."

Answers

Answer:

Part 1:

A. Correct

B. Correct

Part 2:

A. Correct

C. Correct

Answer:

I got 100 % on the quiz

Step-by-step explanation:

check the photo below for the awnser

Determine values of m, n, p, and q so that

Answers

Answer:

Step-by-step explanation:

[tex]\frac{x^{2}+mx+n }{9-x^{2} } /\frac{x^{2} +6x-16}{x^{2} +px+q} = \frac{-x+3}{x+8}[/tex]

Change the division of the two fractions in to multiplication

[tex]\frac{x^{2}+mx+n }{9-x^{2} } * \frac{x^{2} +px+q}{x^{2} +6x-16} = \frac{-x+3}{x+8}[/tex]

Factor what we can

[tex]\frac{x^{2}+mx+n }{(3-x)(3+x)} * \frac{x^{2} +px+q}{(x-2)(x+8)} = \frac{(3-x)}{x+8}[/tex]

Cross multiply and simplify (x+8)/(x+8)

(x² +mx +n) (x² +px +q) = (x -3) (x -3) (x +3)( x -2)

Now we look to see what values for m, n, p, and q will give those factors.

m= 1 n= 2 p= 3 q= 4

(x² +x +2) (x² +3x +4) ≠ (x -3) (x -3) (x +3)( x -2) ❌

m= 1 n= -6 p= -6 q= 9

(x² +x -6) (x² -6x +9) = (x+3)(x-2) (x-3)² ✅

m= -5 n= 6 p= 0 q= -9

(x² -5x +6) (x² -9)  = (x-3)(x-2)(x-3)(x+3)✅

m= 7 n= -4 p= 2 q= 0

(x² +7x -4) (x² +2x)  ≠ (x-3)(x-2)(x-3)(x+3)❌

m= 3 n= -6 p= 1 q= 7

(x² +3x -6) (x² +x+7) ≠(x-3)(x-2)(x-3)(x+3)❌

m= -6 n= 9 p= 1 q= -6

(x² -6x +9) (x² +x -6) =  (x-3)(x-3)(x-2)(x+3)✅

m= 0 n= -9 p= -5 q= 6

(x² -9) (x² -5x +6) ≠(x-3)(x-3)(x+3)(x-2)❌

2 |3x-5| - 4 = 12

Solve for x
Show work

Answers

Isolate the absolute-value term:

2 |3x - 5| - 4 = 12

2 |3x - 5| = 8

|3x - 5| = 4


Recall the definition of absolute value:

[tex]|x| = \begin{cases}x & \text{if }x \ge0\\-x&\text{if }x<0\end{cases}[/tex]

We consider two cases:

• If 3x - 5 ≥ 0, then |3x - 5| = 3x - 5, and the equation resolves to

3x - 5 = 4

3x = 9

x = 3

• Otherwise, if 3x - 5 < 0, then |3x - 5| = -(3x - 5) = -3x + 5, hence

-3x + 5 = 4

-3x = -1

x = 1/3

jacks comfort cafe & bakery buys cheesecake for $8.00 and it marks up 36% what is his selling price

Answers

Answer:$10.88

Step-by-step explanation:

36/100 ×8= 2.88

Selling price is 8+2.88

I think it is 10.88 hope you do good bye

A lizard is 412 inches long.
How long is the lizard in centimeters?

Answers

Answer: 1046.48cm

Step-by-step explanation: Multiplying by 2.54 To convert

How do you solve this

Answers

Answer:

x = 8

Step-by-step explanation:

Use the Intersecting Chords Theorem...

Find the value of x using the diagram below

Answers

Answer:

x=19

Step-by-step explanation:

9x-17

(9*19)-17

=95

5*19=95

if you put 19 in x you will get the same degree

Which of the following equations does not have an x-intercept? Select all that apply.
A) y=x+0
ОВ) y=x
C) y=0x + 3
OD) y=0
E)y=5
F) y 3x+0

Answers

We can conclude from the slope intercept result, the equation with no x-intercept is  C) y=0x + 3,    D) y=0,    E) y=5

What is slope intercept?

In mathematics, the slope-intercept form of a linear equation is an equation of the form y = mx + b, where m is the slope of the line and b is the y-intercept, which is the point on the line where it intersects the y-axis.

Because it allows you to easily view the line and identify its slope and y-intercept, the slope-intercept form is a useful way to describe a line's equation. The slope of the line denotes its steepness, while the y-intercept indicates where the line intersects the y-axis.

The x-intercept of an equation is the point at which the equation's graph intersects the x-axis. When the value of y is zero, something happens. As a result, an equation lacks an x-intercept horizontal line that does not intersect the x-axis.

C) y=0x + 3 (A horizontal line with a y-intercept of 3 that does not cross the x-axis.)

D) y=0 (This is a horizontal line that passes through the origin but does not intersect the x-axis.)

E) y=5 (This is a horizontal line that passes through (0,5) but does not cross the x-axis.)

F) y=3x+0 (This is a straight line travelling through the origin and does cross the x-axis) (This is a straight line passing through the origin and does cross the x-axis)

To know more about slope intercept visit:

brainly.com/question/19824331

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Answer:

C and E

Step-by-step explanation:

because i did the assignment and got it right

Given C = 119º, B= 44°, and c = 15, use the
Law of Sines to solve the triangle for the
value of a. Round answer to two decimal
places.

Answers

Step-by-step explanation:

A+B+C=180° (Sum of angles in a triangle)

A+44°+119°=180

A+163°=180°

A=17°

Using Sine Rule

a/Sin A=c/Sin C

Subtitute the value of A, c and C into the formula

a/Sin 17°=15/Sin 119°

Cross Multiply

a=15Sin17°/Sin119°

a=5.01 (2 d.p)

Easy question simplify

Answers

Answer:

144

Step-by-step explanation:

-12 * -12 = 144

12² =144

but the question was not 12², but -12²

so the answer is -144

if the exercise was between (), so writen like this (-12)²

then you would need to do the - to the power of 2 as well

5(x + y) what is tje anser

Answers

Use the distributive property:

5(x + y) becomes 5x + 5y


with the information provided in the question that is as much as can be done.


answer: 5x + 5y

The answer is 5x+5y

Multiply 5 by x and 5 by y

You can’t add them because they are not like terms
So the answer is

5x+5y

Please help i will give brainliest

Answers

Answer:

c

Step-by-step explanation:

Answer:

its C bro i dont copy her/he

dont be suspiciousful

Step-by-step explanation:

ita right mark me as brainlest

Jenna's has invested 3000 at a 5% Simple rate how much interest will she earn in three years

Answers

Answer:

simple interest=Principal +Time+Rate÷100

Interest=3000+3+5÷100=3005.03

interest=3005.03

please help! What fractional part of one semicircle does the labeled angle represent? Express
your answer as a fraction in simplest terms. Then, express the labeled angle in radian
measure.
225°

Answers

Answer:

Fraction: 5/8
Radians: 5pi/4 Radians
Step-by-step explanation:

1A Fraction
A circle has a total of 360 degrees, in order to solve the first part we must use this preknowledge.
As we are given 255 degrees, we simply order a fraction:
Degrees Given/360 Hence,

255/360

Simplify

5/8
1B Radians

In order to convert degrees to radians we use a simple trick, we must multiply the degree measure (225) by pi/180 because a full circle = 2pi radians or 360 degrees hence,

225 x pi/180

Simplify

5pi/4 radians

Samantha has 67 cents in her pocket. Write two coin combinations she could have that would equal the same amount​

Answers

Samantha has 67 cents in her pocket. Write two coin combinations
she could have that would equal the same amount.
Answer:
Given
Samantha have 67 cents
penny
1 cent
$0.01
nickel
5 cents
$0.05
dime
10 cents
$0.10
quarter
25 cents
$0.25
6 dimes, 1 nickels and 2 pennies
makes 67 cents
2 quarters, 2 nickels and 2 pennies
makes 67 cents.
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