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yarga [219]
3 years ago
14

Is it true that a smaller standard deviation means the data set tended to cluster around the mean? In the form of a paragraph, e

xplain in complete sentences the reasons that you believe this statement is true or false. Complete your work in the space provided or upload a file that can display math symbols if your work requires i
Mathematics
1 answer:
pav-90 [236]3 years ago
4 0
Yes, the smaller the standard deviation the closer the results are clustered around the mean.

Standard deviations measure the spread of the values in a data set. The more spread out the values, the higher the standard deviation.
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Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select t
nignag [31]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

On the other hand we have that if two lines are perpendicular, then the product of their slopes is -1. So:

m_ {1} * m_ {2} = - 1

The given line is:

5x-2y = -6\\-2y = -6-5x\\2y = 5x + 6\\y = \frac {5} {2} x + \frac {6} {2}\\y = \frac {5} {2} x + 3

So we have:

m_ {1} = \frac {5} {2}

We find m_ {2}:m_ {2} = \frac {-1} {\frac {5} {2}}\\m = - \frac {2} {5}

So, a line perpendicular to the one given is of the form:

y = - \frac {2} {5} x + b

We substitute the given point to find "b":

-4 = - \frac {2} {5} (5) + b\\-4 = -2 + b\\-4 + 2 = b\\b = -2

Finally we have:

y = - \frac {2} {5} x-2

In point-slope form we have:

y - (- 4) = - \frac {2} {5} (x-5)\\y + 4 = - \frac {2} {5} (x-5)

ANswer:

y = - \frac {2} {5} x-2\\y + 4 = - \frac {2} {5} (x-5)

3 0
3 years ago
Read 2 more answers
Micheal has been awarded a pay rise of 4%.His salary is £ 24 492 <br> What was his apart before?
Nesterboy [21]
Because there was a pay rise, we can write the equation as x+0.04x = 24.492 and solve for x.

x+0.04x = 24.492
1.04x = 24.492
x=23.55

His original pay was £23.55
6 0
3 years ago
A hot tub has capacity of 1458 liters 487 liters and 750 ml were put in how much more needs to be put in
Colt1911 [192]
Well the easiest way we can do it is convert liters in to milliliters and since there are 1000 milliliters in a liter multiply 1458 by 1000 and 487 by 1000 which will get you 1458000 milliliters of capacity and the 487 liters turns into 487000 mililiters we add this to the 750 milliliters  to get 487750 milliliters. Now it is all a matter of subtracting to find out how much more needs to be put in. 1458000-487750=970250  milliliters. So the amount needed to fill the hot tub is 970250 ml or if you want to convert it back to liters 970.250 l
5 0
2 years ago
X2 – 11x + 5 = -2x<br> Solve equation to the nearest tenth
Nataly [62]

Answer:

x = 5/7 -> 0.714285 which to the nearest tenth would be 0.7

Step-by-step explanation:

is it x*2 or x^2?

If it were x to the power of two, then the answer would be about x1 = 0.594875 and x2 = 8.40512

7 0
3 years ago
What is thesum of the two polynomials ? (-x^2+9)+(-3x^2-11x+4)
True [87]
-x^2 + 9 - 3x^2 - 11x + 4
-4x^2 - 11x + 13
3 0
2 years ago
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