All categories

3 years ago

Find the standard deviation for the given sample data. Round your answer to one more decimal place than the original data.

Mathematics

1 answer:

Aleks [24]3 years ago

6 0

Answer:

D) Standard deviation is 5.41

Step-by-step explanation:

We are given

count N = 9

Sum ∑xi = 113

Mean = ∑xi /N = 12.55

Standard deviation = $\sqrt{ \frac{(summation xi-mean)^2}{N} - (mean)^2 }$ where i = 1 to 9

upon substituting the values we get

Standard deviation = $\sqrt{29.277}$ = 5.41

You might be interested in

(xTO THE 3RD POWER)3=X6

SVEN [57.7K]

If you are asking x^3*3

then the answer is 3x^3

6 0

3 years ago

I need help please #23

Anettt [7]

The answer of question 23 is 24

4 0

3 years ago

Read 2 more answers

A patio 44, feet wide is being constructed next to a house. To drain water off the patio and away from the house, a slope of 1/2

navik [9.2K]

Answer:

the total difference in height will be 22 inches

Step-by-step explanation:

since the slope is 0.5 inch per foot, and the patio is 44 feet wide, the end of the patio will be 0.5 x 44 = 22 inches lower

the slope measures how much the height (Y axis) will change as the length (X axis) increases by 1 unit. In this case, since the height decreases as the length increases the slope is negative.

3 0

3 years ago

Which inequality is true when G = 3/5 ?

GREYUIT [131]

Answer:

D. 15G > 9

Step-by-step explanation:

Given: G = 3/5

Here we have to check each options and find which is true.

Let's start from A.

G - 1 > 2/5

G > 2/5 + 1

G > 7/5 is not true.

B. -10G > 6

Dividing both sides by -10 , we get

G < -6/10

G < -3/5 Is not true.

C. 1 2/5 + G > 3

Now convert 1 2/5 to improper fraction.

1 2/5 = 7/5

7/5 + G > 3

G > 3 - 7/5

G > (15 - 7)/5

G > 8/5 is not rule.

D. 15G > 9

Dividing both sides by 15, we get

G > 9/15

Now we have to simplify 9/15

G > 3/5 which is true.

Answer: D. 15G > 9

Thank you.

4 0

4 years ago

The tangent to the circle x^2+y^2=18 is parallel to the tangent x+y=6

liubo4ka [24]

Answer:

y = -x - 6

Step-by-step explanation:

If we are looking for the equation of the line tangent to the circle, we have to find the first derivative of the circle function. If that tangent line is to be parallel to the given tangent line, we need to find the slope of the the given tangent line and make sure the slope of the line we are looking for is the same. First let's find the slope of the given tangent. If the given tangent is x+y=6, then to find the slope, solve for y:

y = -x + 6. So the slope of that line, and also the slope of the tangent we are solving for, is -1. Hold that thought while we find the derivative of the function. Using implicit differentiation, we find the derivative to be:

$2x+2y\frac{dy}{dx}=0$

Solving for the slope (dy/dx) gives us:

$2y\frac{dy}{dx}=-2x$ and

$\frac{dy}{dx}=\frac{-2x}{2y}$ so

$\frac{dy}{dx}=-\frac{x}{y}$

Subbing in the value of the slope we found:

$-1=-\frac{x}{y}$ so

-y = -x or, equivalently,

y = x. Now that we know that y and x are the same value, we can go back to the original circle to find out what they both are by substitution. If y = x, we make the substution:

If $x^2+y^2=18$ , then

$y^2+y^2=18$ and

$2y^2=18$ and

$y^2=9$ so

y = ±3

We will choose the negative root (you'll see why in a second) and sub that in for both y and x since y and x are th same number. Going back to the fact that the slope is -1:

y - (-3) = -1(x - (-3)) simplifies a bit to:

y + 3 = -x - 3 which gives us, in slope-intercept form:

y = -x - 6

That is the equation of the tangent to the circle that is parallel to the given tangent.

If we would have chosen the principle (or positive) root of 3, our equation would have looked like this:

y - 3 = -1(x - 3) and

y = -x + 3 + 3 so

y = -x + 6. Notice that that is the EXACT SAME EQUATION as the given tangent. That's why we have to pick the negative 3 as our root.

Good luck in your calculus class! Make sure you post your questions in here! Many of us LOVE the challenge of calculus!

3 0

3 years ago