<h2>
1. Pascal’s triangle</h2>
Pascal's triangle is an strategy in math that stands for a triangular array we use to solve problems of binomial coefficients. This strategy is called after the mathematician Blase Pascal. It consists in number patters. So in this problem we need to solve this following Pascal’s triangle strategy:
The strategy consists in building a triangle. So 1 is the first and last numbers in each row of Pascal’s Triangle. Next, every other number in each row is formed when you add the two numbers directly above the number, as shown in Figure below. So:
<h2>
1. Binomial Expansion</h2>
A binomial is a polynomial having two terms. So binomial expansion is a method that stands for a formula that gives us a quick method of raising a binomial to a power. So, for n=3, the binomial expansion can be written as:
Answer:
Yes. When looking at the word "TAKE" you can see that there are four letters. The probability of selecting the letter 'a' would be 1/4. The probability of selecting the letter 'k' would also be 1/4. This is because they are 1 out of 4 of the letters making up the word "TAKE". So, the outcomes are equally likely to occur.
Hope this helped.
Answer:
The domain is discrete
Step-by-step explanation:
Given
Required
What type of domain is it?
<em>Based on the given options, the domain is continuous.</em>
From the question, we understand that x represents the hours spent in climbing the rock.
The climber can decide to climb for 1 hour, 2 hours, ½ hour, ⅓ hour, ¼ hour, etc..
A domain is said to be discrete if it can only take integers (i.e. whole numbers), if otherwise, it is continuous;
So, since x is not limited to only whole numbers, then we can conclude that the domain of x is continuous
Using the law of cosine for Triangle KJL, we can write:
Using the values of k,j and l, we can write:
Rounding to nearest integer, the measure of angle J will be 48 degrees.
So option B gives the correct answer
=(new-old)/old *100%
=(90-75)/75 *100%
=20%
<span> hope it helps</span>
