Integers are whole numbers so 2
Hi Mackenzie.
Given that we have a probability question with the term "or", we are going to be adding individual probabilities.
We have Ethan, Hannah, and Sophie all included with the drawing.
This means we need to add each of their individual probabilities, 1/1200, together.
1/1200 + 1/1200 + 1/1200 = 3/1200;
To simplify: 1/400
Your answer is:
The probability of Ethan, Hannah, or Sophie being drawn is 1/400.
I hope this helps!
By taking advantage of the definition of <em>exponential</em> and <em>logarithmic</em> function and their inherent relationship we conclude that the solution is x = 4 · ㏒ 3/(㏒ 7 - ㏒ 3).
<h3>How to solve an exponential equation by logarithms</h3>
<em>Exponential</em> and <em>logarithmic</em> functions are <em>trascendental</em> functions, these are, functions that cannot be described <em>algebraically</em>. In addition, <em>logarithmic</em> functions are the <em>inverse</em> form of <em>exponential</em> functions. In this question we take advantage of this fact to solve a given expression:
- 7ˣ = 3ˣ⁺⁴ Given
- ㏒ 7ˣ = ㏒ 3ˣ⁺⁴ Definition of logarithm
- x · ㏒ 7 = (x + 4) · ㏒ 3 ㏒ aᵇ = b · ㏒ a
- x · ㏒ 7 = x · ㏒ 3 + 4 · ㏒ 3 Distributive property
- x · (㏒ 7 - ㏒ 3) = 4 · ㏒ 3 Existence of additive inverse/Modulative and associative properties
- x = 4 · ㏒ 3/(㏒ 7 - ㏒ 3) Existence of multiplicative inverse/Modulative property/Result
By taking advantage of the definition of <em>exponential</em> and <em>logarithmic</em> function and their inherent relationship we conclude that the solution is x = 4 · ㏒ 3/(㏒ 7 - ㏒ 3).
To learn more on logarithms: brainly.com/question/20785664
#SPJ1
Answer:
Always
Step-by-step explanation:
a 'quadrilateral' is a 4-sided polygon and all 4-sides polygons have interior angles whose sum is 360 degrees
10.6 = 10.6 / 1
Numerator = 10.6 × 10 = 106
Denominator = 1 × 10 = 10
Numerator / Denominator = 106 / 10
The simplified fraction:
= 106/10
= 53/5
= 10 3/5
