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GuDViN [60]
1 year ago
13

Find rhe mean absolute deviation of the following set of data31.8, 22.6, 13.8, 16.4, 28.1Answer choices: 112.74.965.95218.78

Mathematics
1 answer:
NeX [460]1 year ago
4 0

Answer:

5.952

Explanation:

First, we need to find the mean of the data. So, the sum of all the values divided by the number of values is equal to:

\begin{gathered} \text{Mean = }\frac{31.8+22.6+13.8+16.4+28.1}{5} \\ \text{Mean =}\frac{112.7}{5}=22.54 \end{gathered}

Then, we need to find the absolute difference between each value and the mean, so:

| 31.8 - 22.54 | = 9.26

|22.6 - 22.54 | = 0.06

|13.8 - 22.54 | = 8.74

| 16.4 - 22.54 | = 6.14

| 28.1 - 22.54| = 5.56

Finally, sum the differences and divide them by the number of values:

\frac{9.26+0.06+8.74+6.14+5.56}{5}=\frac{29.76}{5}=5.952

Therefore, the mean absolute deviation is 5.952

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The area of a rectangular piece of metal is 1,984 square centimeters. The perimeter is 188 centimeters. What are the dimensions
gulaghasi [49]

Answer:

There are 2 options:

  • x = 32 cm and y = 62 cm
  • x = 62 cm and y = 32 cm

Step-by-step explanation:

That's a rectangular piece, therefore let's consider the width to be x and the length to be y.

A = width * length

1) A = x * y = 1,984 cm^2

P = 2 * (width) + 2 * (length)

2) P = 2x + 2y = 188 cm

Isolate x or y in one of the equations.

xy = 1,984 cm^2

y = 1,984 cm^2 / x

Now plug it in the second equation.

2x + 2y = 188 cm

2x + 2 * (1,984 / x) = 188

Now we have only one variable. Now just solve it alegebraically.

2x + (3,968 / x) = 188

Multiply both sides by x in order to get rid of the fraction.

2x^{2} + 3968 = 188 x

Substract both sides by 188 x

2x^2 + 3968 - 188x = 0

Now divide by 2 to make the equation simpler.

x^2 - 94x + 1984 = 0

use the quadratic formula:

\frac{94 + \sqrt{(-94)^2 - 4(1)(1984)} }{2(1)} = 62\\\frac{94 - \sqrt{(-94)^2 - 4(1)(1984)} }{2(1)} = 32    

  x1 = \frac{-b + \sqrt{b^2 - 4ac} }{2a} \\x2 = \frac{-b - \sqrt{b^2 - 4ac} }{2a}

x is either 62 or 32.

let's find y:

y = 1,984 / x

y = 1,984 / 62 = 32

y = 1,984 / 32 = 62

There are 2 options:

  • x = 32 cm and y = 62 cm
  • x = 62 cm and y = 32 cm

5 0
2 years ago
Given the function f(x)=4x+10 and g(x), which function has a greater slope?
ladessa [460]

The complete question is

"Given the function f(x) = 4x + 10 and g(x), which function has a greater slope?

x g(x)

2 5

4 7

6 9

f(x) has a greater slope. g(x) has a greater slope. The slopes of f(x) and g(x) are the same. The slope of g(x) is undefined."

The correct option from the given function are A; f(x) has a greater slope.

<h3>What is the slope of a line which passes through points ( p,q) and (x,y)?</h3>

Its slope would be:

m = \dfrac{y-q}{x-p}

The slope of a function in the form of y = mx + C is m,

So the slope in the function

f(x)=4x+10

m = 4

Now when you have a function but you only have a table to evaluate it, to calculate the slope

(p, q) = (4, 7)

(x, y) = (6, 9)

This means that:

m = \dfrac{y-q}{x-p}\\\\m = \dfrac{9-7}{6-4}\\\\m =1

Now that we have both slopes, the slope of g(x) = 1 and the slope of f(x) =4,

Thus, f(x) has a greater slope than g(x).

Learn more about slope here:

brainly.com/question/2503591

#SPJ1

8 0
2 years ago
Pls answer ill give brainliest to the best
ddd [48]

Answer:

D im pretty sure :) hope this helps

Step-by-step explanation:

8 0
3 years ago
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Zigmanuir [339]
Alright, so we want to know how many times 1/3 goes into 3 to see how many friends got cards. To do that, we divide 3 by 1/3, getting 3/(1/3)=(3/1)/(1/3)=
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