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4 years ago

May someone help me out with this please

Mathematics

1 answer:

Fiesta28 [93]4 years ago

7 0

First we find the mean (average)
(7 + 8 + 9 + 9 + 10 + 11)/6 = 54/6 = 9

now we subtract the mean from every data number....and square it
7 - 9 = -2...-2^2 = 4
8 - 9 = -1...-1^2 = 1
9 - 9 = 0....0^2 = 0
9 - 9 = 0...0^2 = 0
10 - 9 = 1....1^2 = 1
11 - 9 = 2....2^2 = 4

now we find the mean (average) for those numbers
(4 + 1 + 0 + 0 + 1 + 4) / 6 = 10/6 = 1.67...this is the variance

to find the standard deviation, take the sqrt of the variance
sqrt 1.67 = 1.29 <== ur answer

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I will give 5 points

ikadub [295]

Use the sum of cubes factoring rule

$a^3 + b^3 = (a+b)(a^2 - ab + b^2)$

to transform the left hand side into the right hand side.

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$\sin^2 \theta - \sin \theta \cdot \cos\theta + \cos^2 \theta = 1 - \sin \theta \cdot \cos \theta\\\\(\sin^2 \theta + \cos^2\theta)- \sin \theta \cdot \cos\theta = 1 - \sin \theta \cdot \cos \theta\\\\1- \sin \theta \cdot \cos\theta = 1 - \sin \theta \cdot \cos \theta \ \ \checkmark\\\\$

Throughout the entire process, the right hand side stayed the same.

On the last step, I used the pythagorean identity.

8 0

2 years ago

Maggie is standing in her front yard and measures the length of the shadow she casts, as well as the shadow, cast by her house.

zimovet [89]

Answer:

the answer is 57

Step-by-step explanation:

because you round to the nearest foot which it means that the answer good luck hope this helps

3 0

3 years ago

100000 less than 560313 is

arsen [322]

100000
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460313

3 0

3 years ago

Need help. i dont understand this!!!

Ilia_Sergeevich [38]

By the quadratic formula, the solution set of the quadratic equation is formed by two real roots: x₁ = 0 and x₂ = - 12.

<h3>How to find the solution of quadratic equation</h3>

Herein we have a quadratic equation of the form a · m² + b · m + c = 0, whose solution set can be determined by the quadratic formula:

x = - [b / (2 · a)] ± [1 / (2 · a)] · √(b² - 4 · a · c) (1)

If we know that a = - 1, b = 12 and c = 0, then the solution set of the quadratic equation is:

x = - [12 / [2 · (- 1)]] ± [1 / [2 · (- 1)]] · √[12² - 4 · (- 1) · 0]

x = - 6 ± (1 / 2) · 12

x = - 6 ± 6

Then, by the quadratic formula, the solution set of the quadratic equation is formed by two real roots: x₁ = 0 and x₂ = - 12.

To learn more on quadratic equations: brainly.com/question/1863222

#SPJ1

7 0

2 years ago

#3 i

klasskru [66]

Answer:

77.74 square feet

Step-by-step explanation:

1. We have to keep the triangle and the rectangle apart and find the area of each separately then add the areas together.

The formula for the area of a rectangle is height x width = area

So, 6.5 feet x 10.4 feet = 67.6 feet squared

The formula for the area of a triangle is height x width x (1/2) = area

So, 5.2 feet x 3.9 feet x (1/2) = 10.14 feet squared

Now, add the two areas together.

10.14 square feet + 67.6 square feet = 77.74 square feet

3 0

3 years ago