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2 years ago

I need the mean, medium, and the mode for these numbers [4,10,11,15,16,16,18,19]

Mathematics

1 answer:

iren [92.7K]2 years ago

7 0

Hello here would be your answers:

mean: 13.6

mediun: 15.5

mode: 16

remember it like this

Mean is the average

Mode is the most often number

Range is when you subtract the smallest number from the largest number

Medium is the middle number when you line it up from the greatest to the least.

hope this helps!

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The width of a rectangle is 4 inches greater than half the length. The perimeter is 56 inches. What is the length and the width

yulyashka [42]

Answer:

Length of the rectangle = 16 inches

Width of the rectangle = 12 inches

Step-by-step explanation:

Let the length of the rectangle be represented by x.

Then width can be expressed as $\[\frac{x}{2}+4\]
$

Perimeter of a rectangle is the sum of four sides of the rectangle.

This can be expressed as 2*(length + breadth)

= $2* (x + \frac{x}{2}+4)$

= $2* (\frac{3x}{2}+4)$

= $3x + 8$

But perimeter is given as 56.

So, $\[3x + 8 = 56\]
$

=> $3x = 48$

=> $x = 16$

Hence length of the rectangle = 16 inches

Width of the rectangle = $\frac{16}{2}+4$ = 12 inches

7 0

3 years ago

Read 2 more answers

A manufacturer has a monthly fixed cost of $110,000 and a production cost of $14 for each unit produced. The product sells for $

vova2212 [387]

Answer:

Cost function C(x) == FC + VC*Q

Revenue function R(x) = Px * Q

Profit function P(x) =(Px * Q)-(FC + VC*Q)

P(12000) = -38000 Loss

P(23000) = 28000 profit

Step-by-step explanation:

Total Cost is Fixed cost plus Variable cost multiplied by the produce quantity.

(a)Cost function

C(x) = FC + vc*Q

Where

FC=Fixed cost

VC=Variable cost

Q=produce quantity

(b)

Revenue function

R(x) = Px * Q

Where

Px= Sales Price

Q=produce quantity

(c) Profit function

Profit = Revenue- Total cost

P(x) =(Px * Q)-(FC + vc*Q)

(d) We have to replace in the profit function

at 12,000 units

P(12000) =($20 * 12,000)-($110,000 + $14*12,000)

P(12000) = -38000

at 23,000 units

P(x) =($20 * 23,000)-($110,000 + $14*23,000)

P(23000) = 28000

5 0

3 years ago

Find the y-intercept of the line who's equation is Y = 3.5 x- 0.4.

agasfer [191]

$\sf y=mx+b$

m is the slope
b is the y-intercept

so that means that the y-intercept of

$\sf y=3.5x + .4$

is $\sf .4$

$\bf{\huge{\boxed{y-intercept = .4}}}$

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3 years ago

Read 2 more answers

If a theater holds 1800 and sells 1/3 of its seats how many tickets does it sell

kozerog [31]

Hey!

A theater holds 1,800 seats. It sells 1/3 of it. That means you have to find 1/3 of 1,800

$\frac{1800}{1} \times \frac{1}{3} = \frac{1800}{3} = 600$

That means the theater sells 600 seats.

$\framebox{Answer = 600 seats}$

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3 years ago

Solve the Law of Cosine: c^2 = a^2+ b^2 - 2abcosC for cos C.

Andrew [12]

Answer:

The Law of Cosine : cos C = $\frac{a^{2}+ b^{2}-c^{2}}{2ab}$

Step-by-step explanation:

See the figure to understand the proof :

Let A Triangle ABC with sides a,b,c,

Draw a perpendicular on base AC of height H meet at point D

Divide base length b as AD = x -b and CD = x

By Pythagoras Theorem

In Triangle BDC And In Triangle BDA

a² = h² + x² ( 1 ) c² = h² + (x-b)²

c² = h² + x² + b² - 2xb ...(. 2)

From above eq 1 and 2

c² = (a² - x²) + x² + b² - 2xb

or, c² = a² + b² - 2xb .....(3)

Again in ΔBDC

cos C = $\frac{BD}{BC}$

Or, cos C = $\frac{x}{a}$

∴ x= a cos C

Now put ht value of x in eq 3

I.e, c² = a² + b² - 2ab cos C

Hence , cos C = $\frac{a^{2}+ b^{2}-c^{2}}{2ab}$ Proved Answer

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2 years ago

I need the mean, medium, and the mode for these numbers [4,10,11,15,16,16,18,19]​

I need the mean, medium, and the mode for these numbers [4,10,11,15,16,16,18,19]