What is the median age of a group of employees
whose ages are 32, 37, 30, 43, 29 and 31?

Answers

Answer 1
To get the median of a set, simply arrange the numbers or elements in either ascending order or descending order then get the middle number. If there are two middle numbers, add them together and divide by two. The quotient is the median.
36, 38, 28, 30, 26 and 25
{25, 26, 28, 30, 36, 38}
The two middle numbers are 28 and 30.
28 + 30 = 58
58/2 = 29
The median is 29.

Related Questions

Whats the equation of a circle with the center point of 1, -1 and a radius of. 5

Answers

Step-by-step explanation:

For this problem, we need to use the fact that the circle with center (h,k) and radius r is (x-h)^2 + (y-k)^2 = r^2.

This gives us that the equation of the circle is (x-1)^2 + (y-1)^2 = 25.

The coach of Darnel's baseball team recorded how many runs the team scored in each game last season. This box plot shows the results. please

Answers

The fraction of the game that Daniel's team scores 2 or more runs is 1/4 of the game.

What are box plots?

A box plot is used to study the distribution and level of a set of scores. Scores are distributed into 4 groups. Each group has a value of 25%

The first quartile, is the first line on the box. The first quartile represents 1/4 of the score.

To learn more about box plots, please check: https://brainly.com/question/27215146

Solve the equation k^2-6k=11 by completing the square

Answers

Answer:

k = ±2√5 + 3

Step-by-step explanation:

k² - 6k + 9 = 11 + 9(k - 3)² = 20k - 3 = √20k - 3 = ±2√5k = ±2√5 + 3
Answer:

[tex]k=3+2\sqrt5\ or\ k=3-2\sqrt5[/tex]

Step-by-step explanation:

[tex]k^2-6k=11[/tex]

_______________________________________________

Add one term in order to complete the square

[tex]k^2-6k+(6\times\frac{1}{2})^2=11+(6\times\frac{1}{2})^2[/tex]

________________________________________________

Calculate

[tex]k^2-6k+3^2=11+3^2[/tex]

_________________________________________________

Factor the expression using [tex]a^2\pm 2ab+b^2=(a\pm b)^2[/tex]

[tex](k-3)^2=11+3^2[/tex]

__________________________________________________

Calculate the power

[tex](k-3)^2=11+9[/tex]

___________________________________________________

Calculate the sum or difference

[tex](k-3)^2=20[/tex]

______________________________________________________

Split into two equations

[tex]k-3=\sqrt{20}\ or\ k-3=-\sqrt{20}[/tex]

________________________________________________________

Move variables to the left side of the equation:

                                 [tex](k-3=\sqrt{20})[/tex]

[tex]k=\sqrt{20}+3\\ k=2\sqrt{5}+3[/tex]

____________________________________________________

Move variables to the left side of the equation:

                               [tex](k-3=-\sqrt{20})[/tex]

[tex]k=\sqrt{20}+3\\ k=-2\sqrt{5}+3[/tex]

_____________________________________________________

So far:

[tex]k=2\sqrt{5}+3\ or\ k=-2\sqrt{5}+3[/tex]

_____________________________________________________

Find the union of the solutions

[tex]k=2\sqrt{5}+3\ or\ k=-2\sqrt{5}+3[/tex]

_____________________________________________________

I hope this helps you

:)

Use the definition of continuity and the properties of limits to show that the function k(x)= √8−x2 2x2−5 is continuous at x = -2

Answers

Voy a buscar el número y le digo el resultado

The area of a circular fountain is 121π square feet.
What is the diameter of the fountain?

Answers

Answer:

22 feet

Step-by-step explanation:

The area of a circle is π · r².

So, step one is to figure out the radius, so taking that equation, we can say π · r² = 121π.

Divide both sides by π to get r² = 121

Then, you take the square root of both sides to leave r = 11.

The diameter is twice as long as the radius, so multiply 11 · 2 to get 22.

The diameter is 22 feet long.

A figure is made up of a triangle and a rectangle. The triangle has a height of 8.5 inches and a base of 10 inches. The rectangle has dimensions of 9 inches×10 inches. What is the area of the figure?
Group of answer choices

132.5 in²

133.5

131.5

130.5

Answers

[tex]\sf are a \ of \ triangle : \frac{1}{2}*base *height[/tex]

[tex]\sf are a \ of \ rectangle : Length * Width[/tex]

total area :

[tex]\sf are a \ of \ rectangle + area \ of \ triangle[/tex]

[tex]\rightarrow \sf 9 * 10 + \frac{1}{2} *8.5*10[/tex]

[tex]\rightarrow \sf 132.5 \ in^2[/tex]

A cylinder has a base diameter of 16cm and a height of 20cm. What is its volume in cubic cm

Answers

Answer:320 cubic cm

Step-by-step explanation:  if you  multiply 16x20m  you get 320  cm

Can someone please help me with this

Answers

Definition of a trapezoid: a quadrilateral with one pair of parallel sides

Thus PQRS is a trapezium because Line PQ is parallel to line SR

Hope that helps!

») b. The area of the parallelogram is 65 ft2. What is its height? mm th 13 ft 13​

Answers

Answer:

Five feet

Step-by-step explanation:

H = A ÷ L

H = 65 ÷ 13

H = 5 ft

HELPPPPPPP URGENT :L

Answers

Answer:

17.5

Step-by-step explanation:

The area for a triangle is (base*height)/2 this means

(5*7)/2 = 17.5 units^2

Answer:

Step-by-step explanation:

base = b = 5 units

height = h = 7 units

[tex]\bf \boxed{\text{Area of triangle = $\dfrac{1}{2}bh$}}[/tex]

                           [tex]=\dfrac{1}{2}*5*7\\\\\\=\dfrac{35}{2}\\\\\\= 17.5 \ square \ units[/tex]

which of the following fractions is NOT equivalent to the others?

A. 24/36
B. 8/12
C. 12/16
D. 4/6

Answers

Answer:

C

Step-by-step explanation:

Just simplify each possible answer by dividing by the lowest common factor, and find the odd one out.

A. 24/36 =  2/3 (LCF of 12)

B. 8/12 = 2/3 (LCF of 4)

C.  12/16 = 3/4 (LCF of 4)

D. 4/6 = 2/3 (LCF of 2)

Answer:

C

Step-by-step explanation:

if you convert all of the fractions into decimal form the only answer that is not .6667 is c

Select the set of equations that is NOT equivalent to 8k = 20

Answers

You forgot to add the equations. Maybe this will help you: 8k = 20 Simplifies to 2.5. Solve the other equations and compare answers until you find the wrong one.

PLEASE ANSWER ASAP.
A snowball has a diameter of 6 cm.

What is the volume of the snowball?

How long would it take a snowball to melt if it melts at a rate of 1.8 cubic centimeters per minute?

Answers

Answer:

Volume: 37.7cm3

It will melt in 21 minutes.

Step-by-step explanation:

Volume of a sphere: 4/3 x pi x r^2

4/3 X pi x 3^2 = 37.7cm3

37.7/1.8=20.943 minutes

Please help will give brainlest! locks in 30 min!

Answers

Answer:

1

Step-by-step explanation:

[tex] \tan( \frac{5\pi}{4} ) \times \frac{\pi}{180} = 1.19[/tex]

The question wants in radian, not in degrees since using the unit circle. Hope this helps

Answer:

a) 1

Step-by-step explanation:

Tan 5pi/4: 1

Tan (-5pi/4): -1

Tan 5pi/4 in degrees: tan (225°)

(3.1×10^7)(5.8×10^−4) in scientific notation

Answers

Answer:

[tex]\filldraw (10,0) rectangle ++(3pt,3pt);[/tex]

Hello I'm just here to say if a question asks "circle all of the expressions that are equivalent to some type of math question do i pick more than one? ​

Answers

Based on the wording of the question, I believe that the answer allows you to pick more than one. However, there still may only be one answer.

40% of 400- how to solve please (thanks

Answers

Step-by-step explanation:

What is 40% of 400?

Convert the problem to an equation using the percentage formula: P% * X = YP is 40%, X is 400, so the equation is 40% * 400 = YConvert 40% to a decimal by removing the percent sign and dividing by 100:40/100 = 0.4Substitute 0.10 for 10% in the equation: 40% * 400 = Y becomes 0.4 * 400 = YDo the math: 0.4 * 400 = 160Y = 160So 10% of 150 is 160Double check your answer with the original question: What is 40% of 400? Multiply 0.4 * 400 = 160
I hope this helps you to answer your question

On a coordinate plane ,the segment with endpoints (10,40) and (70,120) is dilated by a factor of 4/5,with the origin as the center of dilation. What is the length of the resulting segment ?

A-80

B-100

C-112

D-125

Answers

The length of the dilated line segment is 80 units.

What is dilation?

Dilation is the increase or decrease in the size of a figure or object.

The segment with endpoints (10,40) and (70,120) is dilated by a factor of 4/5 to get (8, 32) and (56, 96).

The distance between points (8, 32) and (56, 96) is:

[tex]Distance = \sqrt{(96-32)^2+(56-8)^2} =80\ units[/tex]

The length of the dilated line segment is 80 units.

Find out more on dilation at: https://brainly.com/question/10253650

A triangle has two sides of length 19 and 15. What is the largest possible whole-number length for the third side?

Answers

Answer:

34? Idek

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

To maximize the length of the third side, which I'll call x, it needs to be the longest side.

So by the triangle inequality theorem, 19+15>x, meaning the maximum whole number value of x is 33.

Deondre drops a nickel from a balcony that
is 125 meters in the air. The function
y = -512 + 125 can be used to represent y, the
height of the coin in meters after t seconds.
Write and solve an equation to find the time it
will take for the coin to hit the ground.

Answers

The function [tex]y = -5t^2 + 125[/tex] of the nickel is quadratic function

It will take 5 seconds for the coin to hit the ground

How to determine the time the nickel hits the ground?

The function is given as:

[tex]y = -5t^2 + 125[/tex]

When the nickel hits the ground, the value of the function is:

y = 0

So, we have:

[tex]-5t^2 + 125 = 0[/tex]

Subtract 125 from both sides

[tex]-5t^2 =- 125[/tex]

Divide both sides by -5

[tex]t^2 =25[/tex]

Take the square root of both sides

[tex]t = 5[/tex]

Hence, it will take 5 seconds for the coin to hit the ground

Read more about quadratic functions at:

https://brainly.com/question/1214333

Helpp me with my sister's math​

Answers

Answer:

the 1/2w +22 one is a binomial

Step-by-step explanation:

a binomial is a equation with one two separate numbers AFTER simplifcation. so "1+1" is not a binomial because its equal to just 2, but "1 + x" is a binomial because its simplifed

1. D=5.9 ft.
calculate the circumference of the circle.



2. D=3.2 ft.
calculate the circumference of the circle.



3. D= 6.1 ft.
calculate the circumference of the circle.




4. R= 3.7 m.
Calculate the circumference of the circle.




5. R=6.2
Calculate the circumference of the circle.




6. R=5.1 Ft.
Calculate the circumference of the circle.

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here's the solution ~

As we know, we can calculate the circumference of a circle in terms of its diameter as :

[tex]\qquad \sf  \dashrightarrow \:c = \pi d[/tex]

where, c = circumference and d = diameter

And also, circumference of circle is terms of radius (r) is :

[tex]\qquad \sf  \dashrightarrow \:c = 2\pi r[/tex]

Now, let's move on to questions ~

First

[tex]\qquad \sf  \dashrightarrow \:3.14 \times 5.9 [/tex]

[tex]\qquad \sf  \dashrightarrow \: \approx18.53 \: ft[/tex]

・ .━━━━━━━†━━━━━━━━━.・

Second[tex]\qquad \sf  \dashrightarrow \:3.14 \times 3.2[/tex]

[tex] \qquad \sf  \dashrightarrow \: \approx10.048 \: ft[/tex]

・ .━━━━━━━†━━━━━━━━━.・

Third

[tex]\qquad \sf  \dashrightarrow \:3.14 \times 6.1[/tex]

[tex]\qquad \sf  \dashrightarrow \: \approx19.15 \: ft[/tex]

・ .━━━━━━━†━━━━━━━━━.・

Fourth

[tex]\qquad \sf  \dashrightarrow \:2×3.14 \times 3.7[/tex]

[tex]\qquad \sf  \dashrightarrow \: \approx2×11.62 \: m[/tex]

[tex]\qquad \sf  \dashrightarrow \: \approx23.24 \: m[/tex]

・ .━━━━━━━†━━━━━━━━━.・

Fifth

[tex]\qquad \sf  \dashrightarrow \:2×3.14 \times 6.2[/tex]

[tex]\qquad \sf  \dashrightarrow \: \approx2× 19.47 \: units[/tex]

[tex]\qquad \sf  \dashrightarrow \: \approx38.94 \: m[/tex]

・ .━━━━━━━†━━━━━━━━━.・

Sixth

[tex]\qquad \sf  \dashrightarrow \:2×3.14 \times 5.1[/tex]

[tex]\qquad \sf  \dashrightarrow \: \approx2×16.01 \: ft[/tex]

[tex]\qquad \sf  \dashrightarrow \: \approx \: 32.02m[/tex]

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

someone explain how to do this please
A: square root of 96
B: square root of 48
C:square root of 16
D:8

Answers

You start by using the bottom side and dividing it by 2 as it is separated by a bisector making both sides equal. This isolates one triangle making the sides 4, 8, and x. You then use Pythagorean theorem and solve for x.

8 squared - 4 squared = 48
The next step is getting the square root of the result. Thus revealing B as the answer.

Answer:

B. Square root of 48

Step-by-step explanation:

Using Pythagorean theorem. A^2 = B^2 + C^2

4^2 + x^2 = 8^2

16 + x^2 = 64

x^2 = 48

x = square root of 48

Manny does not eat 4/9 of his orange at lunch. Josh does not 5/9 of his orange at lunch. How much orange do Manny and Josh have left over?

Answers

The amount of orange that Manny and Josh have leftover after eating lunch is 1.

What are fractions?

A fraction is a non-integer. A fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below

How much orange is leftover?

Oranges Manny has left = 1 - 4/9 = 5/9

Oranges Josh has left = 1 - 5/9 = 4/9

Oranges they both have left = 5/9 + 4/9 = 1

To learn more about subtraction of fractions, please check: https://brainly.com/question/915789

6x + 4 - 8x + 9(4 - x)
-

Answers

Answer:

6x - 8x + 4 + 36 - 9x

= 40 - 11x

6x + 4 - 8x + (9x4 - 9x)

6x + 4 - 8x + 36 - 9x
(6x - 8x -9x) + 36
-11x + 36

Can someone help with me

Answers

Answer:

yes your answer is 45 degree

Answer:

105°

Step-by-step explanation:

There 360° in a circle, so...

360°-150°-105°=105°

check: 150°+105°+105°= 360°

[Answer] 105°

malamud and mohammed bought the same eight CD's but mohammed bought used CD's so each was half the price malamud paid. if the mean price malamud paid in $16 and the median is $16.50 , what are the mean and median prices for mohammed's CD's?

Answers

Answer: $8 , $8.25

Step-by-step explanation: It says “ half the price ” so half of 16 is ( 8 ) and half of 16.50 is ( 8.25 )

what is the area of this figure?

Answers

Answer:

  234 square millimeters

Step-by-step explanation:

You want the area of the irregular polygon shown.

Composition

There are always several ways you can find the area of a figure like this. In the attachment we have shown extensions of the vertical and horizontal lines that will divide the figure into a triangle and two rectangles.

Triangle area

The triangle has a base of 12 mm and a height of 13 mm. Its area is ...

  A = 1/2bh

  A = 1/2(12 mm)(13 mm) = 78 mm²

Rectangle area

The upper rectangle has a width of 8 mm and a length of 14 mm. Its area is ...

  A = LW

  A = (14 mm)(8 mm) = 112 mm²

The lower rectangle has a width of 4 mm and a length of 11 mm. Its area is ...

  A = (4 mm)(11 mm) = 44 mm²

Total area

The area of the figure is the sum of the areas of its parts:

  total area = triangle area + upper rectangle + lower rectangle

  total area = 78 mm² + 112 mm² + 44 mm² = 234 mm²

The area of the figure is 234 square millimeters.

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what is thecentre and diameter of the circle with equation
[tex]x {2} + {y2} - 2y + 1 = 16[/tex]

Answers

Answer:

The exact value of sin 22.5° using the half-angle formula is √(2 - √2) / 2 or 0.38

Step-by-step explanation:

Let us consider θ = 22.5 º

Therefore, sin2θ =  [(1− cos 2θ) / 2] -------(1)

If θ = 22.5° then 2θ is 45°.

On substituting the value of θ in equation (1), we get

sin2 22.5° =  [(1− cos (2 × 22.5°)) / 2]

sin2 22.5° =  [(1− cos 45°) / 2]

sin2 22.5°=  [ [1 - (1 / √2)] / 2 ]

sin2 22.5°=  (2 - √2) / 4 [ on simplifying the above RHS value ]

sin 22.5° = [√(2 - √2) / 2]

After substituting the value of √2 as 1.414 in the above equation, we get

sin 22.5°= 0.38

use the terms 8 , 3x , 3/2 and 4x to complete the expression below so that’s is equivalent to 9x - 12

Answers

Answer:

A quadratic inequality is an equation of second degree that uses an inequality sign instead of an equal sign. The solutions to quadratic inequality always give the two roots. The nature of the roots may differ and can be determined by discriminant (b2 – 4ac).

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