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Lynna [10]
4 years ago
5

Calculating standard deviation and variance using the definitional formula Consider a data set containing the following values:

92 84 85 93 95 89 86 91 The mean of the preceding values is 89.375. The deviations from the mean have been calculated as follows: 2.625 -5.375 -4.375 3.625 5.625 -0.375 -3.375 1.625 If this is sample data, the sample variance is ______ and the sample standard deviation is _______.If this is population data, the population variance is ______ and the population standard deviation is _______.Suppose the smallest value of 84 in the data was misrecorded as 85, If you were to recalculate the variance and standard deviation with the 85 instead of the 84, your new values for the variance and standard deviation would be________.
Mathematics
1 answer:
lisabon 2012 [21]4 years ago
4 0

Answer: idk

Step-by-step explanation:

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Step 4: By the definition of similar polygons, the lengths of corresponding sides are __________. This means that "OK" /"NL" " =
san4es73 [151]
The blank should be proportional.
\frac{12}{8}  =  \frac{20 + x}{x}  \\ 12x = 160 + 8x \\ 4x = 160 \\ x = 40
6 0
4 years ago
Find the value of x. Give the answer in simplest radical form.
Vilka [71]

Answer:

X = 8√2.

Step-by-step explanation:

In a 45-45-90 triangle the ratio of the sides are x:x:√2 x.

So here, x = 8 and the side X = 8√2.

8 0
4 years ago
Write an equation of a parabola in vertex form. Vertex (2,-3) and passes through (0,5)​
nydimaria [60]

Answer:

Step-by-step explanation:

The vertex form of a parabola is given by  y = a(x - h)^2 + k, where (h, k) is the vertex.

Given vertex at (2,-3), h = 2, k = -3

y = a(x - 2)^2 + (-3) = a(x - 2)^2 - 3

The parabola passes through (0,5) so

5 = a(0 - 2)^2 - 3

5 = 4a - 3

4a = 8

a = 2

The parabola equation in vertex form:

y = 2(x - 2)^2 - 3

3 0
3 years ago
For the function y = -2 + 5 sin (pi/12(x-2)), what is the minimum value?
LekaFEV [45]

Answer:

The maximum value is 3.

Step-by-step explanation:

The given trigonometric function is

y=-2+5\sin(\frac{\pi}{12}(x-2))

The amplitude of this function is 5.

|A|=5

-5\le A\le5

The function is shifted vertically down by two units.

To find the maximum value, we add -2 to the upper boundary of A.

The maximum values is 5-2=3

3 0
3 years ago
Given the following linear functio, determine the slope of a line parallel to f(x)
andrew11 [14]

Answer:

Option C is correct.

C. 4/3

Step-by-step explanation:

Given:

The given linear function of a line.

F(x)=4/3x+2

We need to determine the slope of a line parallel to F(x)=4/3x+2

Solution:

First we compare the given function of the line with standard form of a line. y = mx + c

Where m = slope of the line.

And c = y-intercept

So, the slope of the line m=\frac{4}{3} and y-intercept c=2

We know that the slope of the parallel lines are same.

Therefore, the slope of a the parallel line m=\frac{4}{3}.

8 0
3 years ago
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