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Luden [163]
3 years ago
13

What is the Mean Average deviation from the Mean? Numbers: 6, 2, 3, 3, 2, 2

Mathematics
1 answer:
Irina-Kira [14]3 years ago
6 0

Answer:

2.42

Step-by-step explanation:

standard deviation= sqrt(variance)

Variance=E[X2] - E[X]2

E[X] = sum(X)/n=35/9, so E[X]2 = 1225/81

E[X2] =sum(X2)/n = 189/9 = 170/81

Variance= 476/81

Standard deviation = sqrt(476/81) ~2.42

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Rachel watched her garden closely and collected data about the number of snails she found on her squash plants each day from Jun
LiRa [457]

You can safely conclude that Rachel saw an average of .83 snails on the plants in her garden each day.

Hope this helps!

8 0
3 years ago
The dashed triangle is the image of the solid triangle. The center of dilation is (-4, -4)
zhuklara [117]

Answer:  The required scale factor of dilation is 3.

Step-by-step explanation:  Given that the dashed triangle is the image of the solid triangle and the center of dilation is (-4, -4).

We are to find the scale factor that is used to create the dilation.

We know that the scale factor of dilation is given by

S=\dfrac{\textup{length of a side of the dilated triangle}}{\textup{length of the corresponding side of the original triangle}}.

From the graph, we note that

two vertices of the original triangle are (-4, -4) and (-4, -6).

And, the corresponding two vertices of the dilated triangle are (-4, -4)and (-4, 2).

So, the length of a side of the original triangle, as calculated using distance formula is

d_1=\sqrt{(-4+4)^2+(-6+4)^2}=\sqrt{0+4}=2

and the length of the corresponding side of the dilated triangle is

d_2=\sqrt{(-4+4)^2+(2+4)^2}=\sqrt{0+36}=6

Therefore, the scale factor of dilation is

S=\dfrac{d_2}{d_1}=\dfrac{6}{2}=3.

Thus, the required scale factor of dilation is 3.

5 0
3 years ago
Read 2 more answers
Simplify the expression.<br><br> 15k+8(11−k)
myrzilka [38]
We should solve this using the order of operations, meaning we should start by distributing the 8 in the parentheses.

15k+8(11-k)
15k+88-8k

Now, we should combine our like-terms,

7k+88

There is nothing else we can do to this equation, so it is simplified. Using the math above, we can see the simplest form of this equation is 7k+88.
4 0
3 years ago
Read 2 more answers
A standardized​ exam's scores are normally distributed. In a recent​ year, the mean test score was 1491 and the standard deviati
Alinara [238K]

Answer:

z(1910)=1.3429\\\\z(1230)=-0.9006\\\\z(2190)=2.2404\\\\z(1380)=-0.3558

Step-by-step explanation:

-Given the population mean is \mu=1491and  the standard deviation is \sigma=312, we calculate the z-scores using the formula:

z=\frac{\bar x-\mu}{\sigma}

#The z-score for 1910 can be calculated as:

z(1910)=\frac{x-\mu}{\sigma}\\\\=\frac{1910-1491}{312}\\\\=\frac{419}{312}\\\\=1.3429

#The z-score for 1230can be calculated as:

z(1230)=\frac{x-\mu}{\sigma}\\\\=\frac{1230-1491}{312}\\\\=\frac{-281}{312}\\\\=-0.9006

#The z-score for 2190 is calculated as follows:

z(2190)=\frac{x-\mu}{\sigma}\\\\=\frac{2190-1491}{312}\\\\=\frac{699}{312}\\\\=2.2404

#The z-score for 1380 is calculated as:

z(1380)=\frac{x-\mu}{\sigma}\\\\=\frac{1380-1491}{312}\\\\=\frac{-111}{312}\\\\=-0.3558

7 0
3 years ago
Which point satisfies both ƒ(x) = 2x and g(x) = 3x?<br><br> (0,1)<br> (0,-1)<br> (1,0)<br> (-1, 0)
ycow [4]

Answer:

(0,1)

Step-by-step explanation:

we are given functions as

f(x)=2^x

g(x)=3^x

we can verify each options

option-A:

we can plug x=0 and check whether we get y=1

f(0)=2^0=1

g(0)=3^0=1

so, this is TRUE

option-B:

we can plug x=0 and check whether we get y=-1

f(0)=2^0=1

g(0)=3^0=1

so, this is FALSE

option-C:

we can plug x=1 and check whether we get y=0

f(1)=2^1=2

g(1)=3^1=3

so, this is FALSE

option-D:

we can plug x=-1 and check whether we get y=0

f(-1)=2^{-1}

g(-1)=3^{-1}

so, this is FALSE

5 0
3 years ago
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