Find the geometric mean of 125 and 5..

Answers

Answer 1

Answer: The geometric mean of two numbers is the square root of their product.
GM = √( 125 · 5 ) = √ 625 = 25
Answer:
The geometric mean of 125 and 5 is 25.

Answer 2

Answer:

Answer:

The geometric mean of 125 and 5 is, 25

Step-by-step explanation:

Geometric mean(GM) of two number is given by:

$GM = √(ab)$

As per the statement:

Given two numbers i.e 125 and 5

then by definition we have;

$GM = √(125 \cdot 5)$

⇒ $GM = √(625)$

⇒ $GM = √((25)^2)$

⇒GM = 25

Therefore, the geometric mean of 125 and 5 is, 25

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Let (Ω,F,P) be a probability space. Recall the R.V. X is called simple, if there exist A₁, …., Aₙ ∈ F and b₁, …, bₙ ∈ R such that X = ᵢ₌ₗ∑ⁿ bᵢ 1{A ᵢ }. Note that A; need not be disjoint. ...) ... a) Show that if R.V. X,Y are simple, then so is the linear combination aX + bY. b) Is it true that if X₁, X₂ are all simple then so are X₁ + X₂, and X₁ ∧ X₂ = min X1, X₂? c) Is the representation of X (i.e. the sets A₁,.., Aₙ and the scalars b₁, ..., bₙ) unique? d) What if Aᵢ are known to be disjoint? How many values can X take then? e) Show that R.V. X is simple if and only it takes finitely many values. f) Show that E[X] is well defined for X simple R.V.. In other words, if X has two representations: X = ᵢ₌ₗ∑ⁿ bᵢ 1{Aᵢ } and X = ᵢ₌ₗ∑ᵐ Cᵢ 1{Bᵢ), such that B₁, ..., Bₘ ∈ F and C₁, ..., Cₘ ∈ R, then we must have ᵢ₌ₗ∑ⁿ Bᵢ P(Aᵢ) = ᵢ₌ₗ∑ᵐ cᵢP(Bᵢ).
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Which of the following statements uses the commutative property of addition?2 + (3 + 4) = (2 + 3) + 4
2 + (3 + 4) = (2 + 3) + (2 + 4)
2 + (3 + 4) = 2 + (4 + 3)

Answers

2 + ( 3 + 4 ) = 2 + ( 4 + 3 ) is the correct statement.

What are laws of numbers ?

There are mainly three types of laws in basic mathematics they are commutative law, associative law and distributive law.

Commutative law states a + b = b + a.

Associative law states a + ( b + c ) = ( a + b ) + c.

Distributive law states a(b + c) = ab + ac.

According to the given question we have to determine which statement defines commutative law of addition correctly.

We know a + b = b + a for ∀ a,b ∈ N.

∴ The statement 2 + ( 3 + 4 ) = 2 + ( 4 + 3 ) is the correct statement.

learn more about commutative law here :

brainly.com/question/28093826

#SPJ2

The correct answer is:

2 + (3 + 4) = 2 + (4 + 3)

Explanation:

The commutative property of addition tells us that the two addends, or numbers being added, can be "flipped around" the addition symbol. The only problem in which this occurs is 2 + (3 + 4) = 2 + (4 + 3) .

What is x^2+8x-5 in vertex form? Please explain.

Answers

$x^2+8x-5=\nx^2+2\cdot4\cdot x-5=\nx^2+2\cdot4\cdot x+4^2-4^2-5=\n(x+4)^2-16-5=\n(x+4)^2-21$

$x^2+8x-5=\n x^2-8x+16-21=\n (x-4)^2-21$

Divide 7/15 by 3/5.
A. 75/21
B. 7/9
C. 7/25
D. 21/75

Answers

In this question there is nothing complicated. Only thing is to know the way fractions can be divided. Once that is known the problem would be one of the easiest to solve. Now let us get back to the problem and look at all the information's that are given in the question.
Divide 7/15 by 3/5 = (7/15)/(3/5)
      = (7 * 5)/(15 * 3)
   = (35/45)
Dividing the numerator and the denominator by 5 for simplifying purpose, we get
   = 7/9
So from the above deduction we can easily conclude that 7/9 is the correct answer and option "B" is the correct option among all the options given in the question.

If you would like to solve 7/15 / 3/5, you can calculate this using the following steps:

7/15 / 3/5 = 7/15 * 5/3 = 7/9

The correct result would be B. 7/9.

Tina lost 3 pounds on the first week of her diet. She gained a pound on the second week, and then lost 2 pounds a week during every week afterwards. She has been dieting for a total of 13 weeks. How many pounds has Tina lost in all?

Answers

Total pounds lost by Tina = 3-1+2*11 = 24 ponds

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Answers

Answer:

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Step-by-step explanation:

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the perimeter of a triangle is 8x+3y. The length of two sides of the triangle are 4x+y and 2x-3y. Find the measure of the third side of the triangle.

Answers

Perimeter = Sum of three sides.

Let the third side be = t

Perimeter = 8x + 3y

8x + 3y = (4x + y) + (2x - 3y) + t

8x + 3y = 4x + y + 2x - 3y + t

8x + 3y = 4x +2x + y - 3y + t

8x + 3y = 6x - 2y + t

8x - 6x + 3y + 2y = t

2x + 5y = t.

Therefore third side = 2x + 5y

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