What is the median of this set of data: 593, 588, 540, 434, 420, 398, 390, 375

A.564
B.420
C.427
D.394

Answers

Answer 1
C. 427

The median is the middle number of all the data

Since there is an even number of data points the median is in between the middle two data points (434 and 420)

To find this: 434-420=14
14/2=7
434-7=427
420+7=427

Related Questions

6.2 + 0.4x = 8.05 as a decimal . do not round

Answers

[tex] \: \: \: \: [/tex]

[tex] \pink{x = 4.625} \\ \\ or \: in \: alternate \: \: form \\ \\ \pink{x = \frac{37}{8} }[/tex]

Step-by-step explanation:

[tex]6.2 + 0.4x = 8.05[/tex]

move the constant to the right

[tex]0.4x = 8.05 - 6.2[/tex]

calculate

[tex]0.4x = 1.85[/tex]

divide both sides

[tex] \pink{x = 4.625} \\ \\ in \: \: alternate \: \: form \\ \\ \pink{x = \frac{37}{8} }[/tex]

hope it helps

[tex] \huge\bf Question:—[/tex]

[tex] \sf \longmapsto \: 6.2 + 0.4x = 8.05[/tex]

[tex] \bf \huge \: Solution:—[/tex]

[tex]\boxed{ \underline{\bf \: Solving \: for \: x:—}}[/tex]

[tex] \boxed{\bf \: Simplify \: both \: sides \: of \: the \: uequation:—}[/tex]

[tex]\sf \longmapsto6.2 + 0.4x = 8.05[/tex]

[tex]\sf \longmapsto0.4x+6.2=8.05[/tex]

[tex]\boxed{ \bf \: Subtract \: 6.2 \: from \: both \: sides:—}[/tex]

[tex]\sf\longmapsto0.4x+6.2−6.2=8.05−6.2[/tex]

[tex]\sf \longmapsto0.4x=1.85[/tex]

[tex]\boxed{ \bf \: Divide \: both \: sides \: by \: 0.4:—}[/tex]

[tex]\sf \longmapsto \: \dfrac{0.4x}{0.4} = \dfrac{1.85}{0.4} [/tex]

[tex] \boxed{\bf \: Cross-multiply:—}[/tex]

[tex]\sf \longmapsto0.4x \times (0.4)=(1.85) \times (0.4)[/tex]

[tex]\sf \longmapsto \: 0.16x = 0.74[/tex]

[tex] \boxed{\bf \: Divide \: both \: sides \: by \: 0.16:—}[/tex]

[tex]\sf \longmapsto \: \dfrac{0.16x}{0.16} = \dfrac{0.74}{0.16}[/tex]

[tex]\boxed{ \bf \: Cross-multiply:—}[/tex]

[tex]\sf \longmapsto0.16x \times (0.16)=(0.74) \times (0.16)[/tex]

[tex]\sf \longmapsto0.0256x=0.1184[/tex]

[tex]\boxed{ \bf \: Divide \: both \: sides \: by \: 0.0256:—}[/tex]

[tex]\sf \longmapsto \: \dfrac{0.0256x}{0.0256} = \dfrac{0.1184}{0.0256} [/tex]

[tex]\sf \longmapsto \: x = 4.625[/tex]

[tex] \underline{{\boxed{\bf \: Answer:—}}}[/tex]

[tex] \boxed{\huge\red{\bf \: 4.625}}[/tex]

[tex]\boxed{\underline{\bf Answer\: In \: Fractional\: Form:—}}[/tex]

[tex]\boxed{\bf \dfrac{37}{8}} [/tex]

[tex]\boxed{\underline{\bf Answer\: In \:Mixed\: Fraction:—}}[/tex]

[tex]\boxed{\bf 4\dfrac{5}{8}}[/tex]

Find the total surface area of the cone in the figure. (Use π = 3.14.)
A) 219.8 cm2
B) 266.9 cm2
C) 314.0 cm2
D) 282.6 cm2

Answers

what is the cone in the figure?

Answer:

282.6 cm^2

Step-by-step explanation:

typed it into a surface area calculator and I got the answer right

Help please serious answers only

Answers

Step-by-step explanation:

1 Use the Quadratic Formula.

x=\frac{2+2\sqrt{14}\imath }{30},\frac{2-2\sqrt{14}\imath }{30}

x=

30

2+2

14

,

30

2−2

14

2 Simplify solutions.

x=\frac{1+\sqrt{14}\imath }{15},\frac{1-\sqrt{14}\imath }{15}

x=

15

1+

14

,

15

1−

14

Done

4000 families were randomly selected for a survey. 50% of them read the newspaper in nepali language, 45% read it in English language and 25% read in neither of these languages. How many families read the newspaper in both the languages? Also find the number of families who read exactly one of these papers.​

Answers

Answer:

2000 families read the newspaper in the Nepali language.

1800 families read it in the English language.

3800 families read the newspaper in both.

Step-by-step explanation:

#1. individual

convert % to decimal ( x ÷ 100 )

0.5 x 4000 = 2000

0.45 x 4000 = 1800

#2. together

2000 + 1800 = 3800

OR

50 + 45 = 95

95 ÷ 100 = 0.95

0.95 x 4000 = 3800

what is the solution to the system of equations graphed below? y=-x+3 y=x-3

Answers

Answer:

x-3=-x+3

2x=6

x=3 y=0

the solution is the intersection of those two lines!

For f(x) = 2x+1 and g(x) = x2 - 7, find (f+ g)(x).
=
A. x2 + 2x - 6
B. 2x3 - 6
C.x2 + 2x+8
D. 2x2 – 15

Answers

Answer:

the answer is A. it good answer

Using pennies, nickels, and dimes, how many
ways can you make 16 cents?

Answers

Answer:

16 pennies, one dime and 1 nickel and 1 penny, 3 nickels and 1 penny.

Step-by-step explanation:

Answer:

1 dime, 1 nickel, 1 penny

Step-by-step explanation:

1 dime= 10 cents

1 nickel= 5 cents

1 penny= 1 cent

Find the value of x for the following triangle. Give your answer to a whole number. (No decimal)​

Answers

Answer:

12

Step-by-step explanation:

Use the original price and the markdown to find the retail price.
Original price: $80; Markdown: 16%

Answers

Answer:

its b

Step-by-step explanation:

Answer:

The answer would be $67.2.

Step-by-step explanation: The answer would be $67.2. Take 80, divide it by 100 to get 1% of 80, 0.80. Now since you are taking 16% off the original price (100%), you multiply 0.80 (1%) by 84 (for 84% price), to get $67.2. This means, after the markdown, the 80$ item is now $67.2

WILL GIVE BRAINLIEST! Given: ∆ABC, AB =√2. M ∈ AC, AM = 1. BM = 1, BC = 2. Find: m∠ABC

Answers

The measurement  of ∠ ABC in  [tex]\triangle ABC[/tex], When AB =√2,  AM = 1. BM = 1, BC = 2 will be [tex](\cos^{-1}{5)[/tex].

The measures of angle ∠ ABC can be calculated as:

The Law of Cosines, states that:

[tex]c^2 = a^2+ b^2 - 2ab \cos (C)[/tex]

Where, c is the side opposite angle C, and a and b are the other two sides of the triangle.

The sides of ∆ ABC will be :

AB = [tex]\sqrt{2}[/tex] (given)

BC = 2 (given)

[tex]AC = 1 + \sqrt{MC}[/tex]

∆ ABC is a triangle and according to the triangle inequality theorem,  the  The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

So:

BC+AB > AC

[tex]2+\sqrt 2 > 1 + {\overline{MC}}[/tex]

[tex]\sqrt 2 +1 > \overline{MC}[/tex]

The law of cosines for [tex]\angle ABC[/tex] can be calculated as:

[tex]{BC}^2 = {AB}^2 + {AC}^2 - 2.AB.AC.cos(\angle ABC)[/tex]

The values can be obtained by the substitution.

[tex]2^2 = (\sqrt2)^2 + (1+{\overline {MC)}^2 - 2.\sqrt2 > (1 +{\overline{MC}).cos (\angle ABC)[/tex]

[tex]4 = 3 +2.\overline{MC} + \overline{(MC})^2 - 2. (\sqrt2. (1+ \overline{MC}).cos (\angle ABC)[/tex]

This can be simplified as:

[tex]0 = 3 + 2.\overline{MC} + \overline{MC})^2 - 2. (\sqrt2. (1+ \overline{MC}).cos (\angle ABC)[/tex]

The value of [tex]\overline{MC}[/tex] can be calculated as:

[tex]\sqrt 2+1 > \overline{MC}[/tex]

Substitute the value in the equation,

[tex]0 = 3+2.(\sqrt2+1) + (\sqrt2+1)^2 - 2.\sqrt2. (1+ \sqrt2+ 1).cos (\angle ABC)[/tex]

[tex]0 = 3+2 \sqrt2+4+2\sqrt2+1-2\sqrt2-2-2\sqrt2-2\sqrt2- 2.cos (\angle ABC)[/tex]

[tex]0 = 10 - 2.cos (\angle ABC)[/tex]

Thus, the value of cos [tex](\angle ABC)[/tex]  is calculated as:

[tex]cos (\angle ABC) = \dfrac{10}{2}[/tex]

[tex]cos(\angle ABC) = 5[/tex]

Thus, the value of[tex](\angle ABC)[/tex] is [tex](\cos^{-1}{5)[/tex].

Learn more about angles here:

https://brainly.com/question/14569348

#SPJ12

A boy is walking at 3 m/s He is 25 kg and his back pack is 5kg. What is the boys momentum when carrying the back pack?
90 kg m/s

10 kg m/s

15 kg m/s

75 kg m/s

Answers

Answer:

90 kg m/s

Step-by-step explanation:

The equation for momentum is

p= mass x velocity

so our velocity is 3 thats is given

the mass must be calculated by adding 25  and 5

this adds to 30

30 x 3 = 90

any one is good at math can help :(

Answers

Answer:
1. 1/50, or 1 megabyte per 50 seconds
2. -5/2, or -5 dollars per 2 months

Explanation:
To find slope, we can use the slope formula:
m = (y2 - y1)/(x2 - x1)

M represents the slope, (x1, y1) represent the coordinates of a point on the line, and (x2, y2) represent the coordinates of another point on the line. The points you pick don’t matter as long as they’re different.

For the first graph, I’ll pick (150, 3) and (100, 2).
m = (2 - 3)/(100 - 150)
m = -1/-50
m = 1/50

From the x and y axis, I can determine the units: megabytes per seconds. The answer becomes 1 megabyte per 50 seconds.

The second graph will have the same process. Since the line is pointing downward, I already know that the slope will be negative. I can plug the pre-chosen points, (10, 5) and (4, 20), into the slope formula.
m = (20 - 5)/(4 - 10)
m = 15/-6 or -5/2

The answer becomes -5 dollars per 2 months.

I hope this was helpful!



Help please (50 points)
Provide the missing statements and reasons for the following proof.
Theorem opposite slides of parallelograms are congruent

Answers

Answer:

R3. alternate interior angles

( alternate interior angles are always congruent )

S4. AC = CA

R5. ASA triangle congruence property

( you have 2 angles and the included side, so you know they're congruent )

lmk if you want an actual explanation

HELP ME GUYS THANKS !

Answers

Answers:

-32

-8

-2

4

Step-by-step explanation:

[tex]y = 6x - 2[/tex]

[tex]y_1 = 6(-5) - 2 = -30 -2 = -32[/tex]

[tex]y_2 = 6(-1) - 2 = -6 -2 =-8[/tex]

[tex]y_3 = 6(0) - 2 = 0 -2 = -2[/tex]

[tex]y_4 = 6(1) - 2 = 6 -2 = 4[/tex]

Step-by-step explanation:

Ok so the function rule is: y=6x-2

We have 4 sets of numbers under the value "x." That means we have to input the given values into the function.

First is x=-5. We input -5 into the function so we get y=6(-5)-2. We multiply 6 and -5 and we get -30, then we subtract 2 from -30. Then for the answer for the first column, we get -32 for the y value.

Now we have x=-1. We input the number for x in the function and we get y=6(-1)-2. We multiply 6 and -1 and we get -6, then we subtract -2 from -6 and we get -8. So out y value for the second row is -8.

Try the next two on your own to see if you understand. If you still don't understand please comment under this answer. I'll try to respond as quickly as I can.

I need help. what is the slope?
(The bottom one says : (-1, -6)

Answers

The slope is : -11/4
Ok done. Thank to me :>

What is the value of t?



t − 122 = 2t − 3




A. t = -2

B. t = -6

C. t = 6

D. t = 2

Answers

Answer:

-39 2/3

Step-by-step explanation:

t - 122= 2t - 3

subtract 't' from each side to get:

-122 = 3t - 3

add 3 to each side to get:

-119 = 3t

divide each side by 3 to get:

t = -39 2/3

Set of ordered pairs: Is it a function? (yes no ) Why or why not? (0,3),(-1,4),(2,4),(0,8),(5,7)

Answers

Answer:

No

Step-by-step explanation:

A function cannot have two different points with the same x-coordinate. For instance in this one, (0,3) & (0,8) share the same value of x

1) Find the area of the shaded region
if the big diameter is 12 in, and the
small diameter is 8 in.

Answers

Answer:

the answer in 12 x 8÷2 =48

Mandy is setting up for a reception. For the number of seats needed, she knows she can use either 8 seats at each table with none left over, or 10 seats at each table with none left over. Which is the least number of seats she is setting up?

Answers

100 according to my teacher

how does 9 + 9 = 6 ?

Answers

Answer:

it does not, it equals 18

Step-by-step explanation:

9+9=18 - true

9+9=6 - false

A line passes through the points (9,6) and (6,5). What is its equation in slope-intercept form?

Answers

Answer:

Y=X/3+3

Step-by-step explanation:

M= Y2-Y1/X2-X1

  = 5-6/6-9

  = -1/-3

  = 1/3

sub x=6, y=5, M=1/3 into Y=MX+C

5=6/3+C

5=2+C

5-2= 2+C-2

3=C

The rectangle and the trapezoid have the same area. What is the length l of the rectangle?
Please show work

Answers

Answer:

length = 18 ft

Step-by-step explanation:

A(rect) = 9l

A(trap) = 1/2(9)(24+12)  →  4.5(36)  → 162

9l = 162

l = 162/9

l = 18

Answer:  18 feet

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

How to get the answer:

We first need to compute the area of the trapezoid

area of trapezoid = height*(base1+base2)/2

A = h*(b1+b2)/2

A = 9*(12+24)/2

A = 9*(36/2)

A = 9*18

A = 162

The trapezoid has an area of 162 square feet.

---------

The rectangle also has an area of 162 sq ft.

area of rectangle = length*width

A = L*W

A/W = L

L = A/W

L = 162/9

L = 18

The length of the rectangle is 18 feet.

---------

Side note: both rectangle and trapezoid have the same height (9 feet). Notice how the average of the 12 ft and 24 ft sides leads to 18 ft, which is exactly the value of L. It's not a coincidence these two facts line up.

Help me with my math work please! Whoever helps gets 50 points! Thnx!

Answers

Answer:

6) y=-2

7) w=15

8) x=1

Adelita, Elena, Betina, and Bianca each work as a doctor, lawyer, teacher, or banker. From these clues, decide who is the doctor.

Answers

Answer: Adelita

Step-by-step explanation:

because if its going in order of the names by jobs then its adelita

Is there a proportional relationship between category 1 and Category 2 in the table below

Answers

Answer: Please upload the image or PDF.

what is the number of terms for 1000z + 800y​

Answers

Answer:

2 terms

Step-by-step explanation:

hope this helps! :D

have a MIRACULOUS day!! <3

What forms of the following equation in?

​ 2x+3y=15

Answers

This one would be 0
it looks to me that the equation is in standard form

for future reference, standard form is written in the format of: Ax+By=C

1) Derrick is sharing pizza with his 3 friends. They have 6/8 of a pizza. If they split the pizza evenly, how much pizza does each person get? Show your work with both a model and an equation.​

Answers

Answer:

3/16

Step-by-step explanation:

So Derrick is sharing pizza with 3 friend, so in total, there are 4 people.

There is 6/8 pizza in current total pizza.

[tex]\frac{\frac{6}{8}}{4} =6/32=3/16[/tex]

Answer:

2/8

Step-by-step explanation:

each person would get 2/8

PLEASE HELP!!!!!!.....

Answers

Answer:

x=2

Step-by-step explanation:

hope this helps! :D

to everyone reading this: have a miraculous day!! <3

Answer:

x=2

Step-by-step explanation:

..............

✌️❤️✌️

A 2 inch pulley on an an electric motor that runs at 600 rpm is connected by a non slip belt to a 4 inch radius pulley on a saw arbor. The radius of the saw blade is 8 inches.
A) Which of these quantities is the same for both the 2 inch and 4 inch radius pulleys? V, The Translational Speed OR W, The Rotational Speed.
B) Find the value of W in rads/min for the 2 inch radius pulley. Answer in terms of pi.
C) Find the value of W for the 4 inch radius pulley. Answer in terms of pi.
D) Find the Translational Speed, V, of a saw tath in inches/min. Answer in terms of pi.

Answers

B no ........................

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