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2 years ago

For the data set 62, 73, 74, 75, 76, the mean is 72. What is the mean absolute deviation?

Mathematics

2 answers:

slega [8]2 years ago

6 0

Answer: A. The mean absolute deviation is 4

Step-by-step explanation:

Mean absolute deviation (MAD) is found by finding the absolute value of difference between each number in set and mean, adding them together, then dividing by total numbers in set.

<u>Differences</u>

72-62= 10

72-73= 1

72-74= 2

72-75= -3

72-76= -4

add the absolute values...

10+1+2+3+4=20

divide by 5 because that is how many numbers in set...

20/5=4

Lorico [155]2 years ago

3 0

Answer:

The answer is A. The mean absolute deviation is 4

Step-by-step explanation:

I TOOK the test believe me!

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Select the correct answer.

Paladinen [302]

Answer:

Step-by-step explanation:

$2x^2+16x-8=0$

Simplify:

$x^2+8x=4$

Rewrite in the form $(x+a)^2=b$ :

$x^2+8x=4$

Add $4^2$ to both sides:

$x^2+8x+4^2=4+4^2$

$x^2+8x+4^2=20$

$\left(x+4\right)^2=20$

$x+4=\sqrt{20}$ or $x+4=-\sqrt{20}$

x = -4± $\sqrt{20}$

x= -4± $2\sqrt{5}$

8 0

3 years ago

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Which equation is a linear function?

Sonja [21]

Answer:

the equation in letter D is a linear function.

6 0

3 years ago

The molar mass of AlCl3 is 133.34 g/mol. How many molecules of AlCl3 are there in 2 g?

Mnenie [13.5K]

To solve this problem, we have to apply mole-concept to this and we would need the molar mass of AlCl3. 2g of AlCl3 contains 9.034*10^21 molecules.

<h3>Number of Molecules in 2g of AlCl3</h3>

The molar mass of AlCl3 is given as 133.34g/mol

Data;

mass = 2g
molar mass = 133.34g/mol

Using the mole concept, we can equate the molar mass to the number of molecules present in the entity.

$133.34g = 6.023*10^2^3$

If we equate this

$133.34g = 6.023*10^2^3\\2g = x molecules\\x = \frac{2*6.023*10^2^3}{133.34} \\x = 9.034*10^2^1 molecules$

From the calculations above, 2g of AlCl3 contains 9.034*10^21 molecules.

Learn more on mole concept here;

brainly.com/question/21150359

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5 0

2 years ago

Rewrite in simplest terms: 9(-9f-2)-9(5f+10)

Deffense [45]

Answer:-126f-108

Step-by-step explanation:

9(-9f - 2)-9(5f +10)

-81f - 18 -9(5f + 10)

- 81f - 18 - 45f -90

- 126f - 18 - 90

-126f -108

which give you the answer -126f - 108

7 0

3 years ago

Which is one of the transformations applied to the graph of f(x)=x2 to change it into the graph of g(x) = -x2 + 16x – 44?

KatRina [158]

Answer:

Only option D is one of the transformations needed.

Step-by-step explanation:

The graph of f(x)=x^2 is a positive parabola with x=0 as the zero in ordinates and also 0 as a zero x. This is, the graph passes in (0,0) and this is the only point it crosses both axis, then for every x value we will gave a positive f(x).

Here I attach a graph that shows both, f(x)=x^2 and g(x)=-x^2+16x-44.

As you can see, for transforming f(x) in g(x) we need to reflect it over the x axis, as g is open downwards. Then, as the quadratic term is still being x^2 we do not wide it (as you see in the graph both curves are equally widened).

Then, we can also see that the graph is shifted right, so we do not shift it left 8 units (notice that we shift it right 8 units).

So, after reflecting over the x axis and shifting right we need to shift it UP, as we can see the graph is over the x axis.

So, the three transformations needed are:

1. reflect over the x axis

2. shift right 8 units

3. shift up 20 units.

So, from the options you proposed we chose only d, to which we MUST add the transformations noted above.

Sorry for the mistake!

8 0

3 years ago

Read 2 more answers