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Snezhnost [94]
1 year ago
11

The following data points represent the weight (in kilograms) of 5 randomly selected dogs at the pound.

Mathematics
1 answer:
Tomtit [17]1 year ago
8 0

The standard deviation of the data set is 19.3

<h3>How to find the standard deviation of the data set?</h3>

The dataset is given as:

82, 94, 105, 68, 57

Calculate the mean using

Mean = Sum/Count

So, we have

Mean = (82 + 94 + 105 + 68 + 57)/5

Evaluate

Mean = 81.2

The standard deviation is then calculated as:

\sigma = \sqrt{\frac{\sum (x - \bar x)^2}{n-1}}

So, we have:

SD = √[(82 - 81.2)^2 + (94 - 81.2)^2 + (105 - 81.2)^2 + (68 - 81.2)^2 + (57 - 81.2)^2)/5 - 1]

This gives:

SD = √[1490.8/4]

So, we have:

SD = 19.3

Hence, the standard deviation of the data set is 19.3

Read more about standard deviation at

brainly.com/question/4514629

#SPJ1

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The set of points P(0, 3), Q(2, 0), R(4, -3) are collinear and the line has a slope of _____.
jok3333 [9.3K]

Answer:

-3/2,collinear.

Step-by-step explanation:

slope of PQ=(0-3)/(2-0)=-3/2

eq. of line PQ is

y-3=-3/2(x-0)

y-3=-3/2 x

or2y-6=-3x

or 3x+2y=6

if R(4,-3) lies on it,then

3(4)+2(-3)=6

12-6=6

or 6=6

which is true.

Hence points P,Q,R are collinear.

and line has aslope=-3/2

7 0
2 years ago
Find the area. Will mark brainliest.
erik [133]

Answer:

8

Step-by-step explanation:

The equation for the area of a parallelogram is A=bh. In this case, the base is 4 and the height is two so the equation would be 4*2 which would be eight.

3 0
3 years ago
Read 2 more answers
Can someone explain division of polynomials to me please.
kykrilka [37]

Answer: Division of Polynomials is just like the long division  that most of us despise but this division is with Variables

Step-by-step explanation:

Example

With whatever equation you have you will

  • First: set up the division putting the dividend inside the divisor outside and to the left
  • Second: Ignore everything past the leading terms and just focus on the leading _ of the divisor and the leading _ of the dividend (just like in regular long division.
  • Thirdly: Take whatever is on top and multiply is by the divisor {What is on the side} carry the result underneath put it exactly below the number from the dividend
  • Fourth: Multiply the number that is on top by the number that is on the side, carry what is on the side underneath putting it below the other dividend.
  • Fifth: Do the subtraction
  • Sixth To subtract change all the signs in the second line, then add down.
  • Next: Carry down that last term from the dividend
  • From there you multiply and then add down again and you should be left with the answer....

If this was to many words let me know and I will upload a picture and explain with a real equation.

3 0
3 years ago
Question 1) Given: F(x) = 3x^2 + 1, G(x) = 2x - 3, H(x) = x
USPshnik [31]

Question 1)

Given: F(x) = 3x^2 + 1, G(x) = 2x - 3, H(x) = x

F(G(x)) = 3(2x - 3)^2 + 1

F(G(x)) =3(4x^2 - 12x + 9) + 1

F(G(x)) = 12x^2 - 36x + 27 + 1

F(G(x)) =12x^2 - 36x + 28

Question 2)

Given: F(x) = 3x^2 + 1, G(x) = 2x - 3, H(x) = x

H -1 (x) = x (inverse)

8 0
3 years ago
Whats the answer to this? Evaluate 3×6 − 12÷6
Paraphin [41]

Answer:

16

Step-by-step explanation:

3 times 6 is 18 and 12 divided by 6 is 2

18 - 2 =16

use the acronym PEMDAS

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