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Stells [14]
3 years ago
8

5 9 17 11 8 11 16 How do you do standard deviations with these numbers

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
3 0

Answer:

3.96

Step-by-step explanation:

Standard Deviation quantifies how diverse the values of your data set are and is useful in determining how your numbers are different from each other.

Step 1: Collect your data to form a data set from which you wish to calculate a standard deviation.

5 9 17 11 8 11 16

Step 2: Calculate the mean of the data set;

5 + 9 + 17 + 11 + 8 + 11 + 16 = 77

Mean = 77 / 7

Mean = 11

Step 3: Subtract the mean from your data set and square the differences, continue with each number on your data set;

5 - 11 = (-6)² = 36

9 - 11 = (-2)² = 4

17 - 11 = (6)² = 36

11 - 11 = (0)² = 0

8 - 11 = (-3)² = 9

11 - 11 = (0)² = 0

16 - 11 = (5)² = 25

Step 4: Find the mean of the differences;

36 + 4 + 36 + 0 + 9 + 0 + 25 = 110

Mean = 110 / 7 = 15.71

Step 5: Take the square root of the Mean above to find the standard deviation;

²√15.71 = 3.96

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Plz help, I'm taking an Advanced class (Algebra) Will give brainliest ✔✔✔✔✔✔✔✔✔
bija089 [108]

Part A:

The average rate of change refers to a function's slope. Thus, we are going to need to use the slope formula, which is:

m = \dfrac{y_2 - y_1}{x_2 - x_1}

  • (x_1, y_1) and (x_2, y_2) are points on the function

You can see that we are given the x-values for our interval, but we are not given the y-values, which means that we will need to find them ourselves. Remember that the y-values of functions refers to the outputs of the function, so to find the y-values simply use your given x-value in the function and observe the result:

h(0) = 3(5)^0 = 3 \cdot 1 = 3

h(1) = 3(5)^1 = 3 \cdot 5 = 15

h(2) = 3(5)^2 = 3 \cdot 25 = 75

h(3) = 3(5)^3 = 3 \cdot 125 = 375


Now, let's find the slopes for each of the sections of the function:

<u>Section A</u>

m = \dfrac{15 - 3}{1 - 0} = \boxed{12}

<u>Section B</u>

m = \dfrac{375 - 75}{3 - 2} = \boxed{300}


Part B:

In this case, we can find how many times greater the rate of change in Section B is by dividing the slopes together.

\dfrac{m_B}{m_A} = \dfrac{300}{12} = 25


It is 25 times greater. This is because 3(5)^x is an exponential growth function, which grows faster and faster as the x-values get higher and higher. This is unlike a linear function which grows or declines at a constant rate.

7 0
3 years ago
Write an equation of a line parallel to line EF below in slope-intercept form that passes through the point (2, 6).
N76 [4]

Answer:

y = -⅔x + ²²/₃  

Step-by-step explanation:

1. Calculate the slope of EF

Assume E is at (-2, 5) and F is at (1, 3).

m₁ = (y₂ - y₁)/(x₂ - x₁) = (3 - 5)/(1 -(-2)) = -⅔

2. Calculate the slope of the parallel line

m₂ = m₁ = -⅔

3. Calculate its y-intercept

y = mx + b

6 =-⅔(2) + b

Simplify

6 = -⁴/₃ + b

Add ⁴/₃ to each side

b = 6 + ⁴/₃ = ¹⁸/₃ + ⁴/₃ = ²²/₃

The y-intercept is at (0,²²/₃).

4. Write the equation for the line

y = -⅔x + ²²/₃

The diagram shows EF in red. The parallel line in black passes through (2, 6) with a y-intercept at (0,²²/₃).

7 0
3 years ago
A jar contains 3/10 blue 2/10 white and 19/100 red marbles the rest are yellow what fraction represents the number of yellow?
andrew-mc [135]
31/100 represents the yellow marbles because 3/10 = 30/100, 2/10 = 20/100, and 19/100.It all adds up to 69/100 marbles.
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2 years ago
Pencils were ordered in boxes containing 6 pencils each. The grade level has 100 students. If the teachers want to start the yea
Bezzdna [24]

Answer:

67

Step-by-step explanation:

(4*100)/6

=400/6

=66.67

Round to get 67

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Answer:

Holaaaaa si quieres saber metete a saptory es una aplicacion nueva❤

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