Answer:
Step-by-step explanation:
Since you already have the given slope and the given point, use the <u>Point-Slope Formula</u> to make it a <u>Point-Slope Form</u>:
Slope: 
First Point: 
-Substitute both the given slope and the given point:
Slope: 
First Point: 
(Substituted in <u>Point-Slope Form)</u>
Answer:
And we can solve for the value of X like this:
And since we know that z=2 we can replace and we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the scores of a population, and for this case we can assume the distribution for X is given by:
Where 
and 
And for this case the z score is given by:
And we can solve for the value of X like this:
And since we know that z=2 we can replace and we got:
Answer:
The same two approaches can be applied to rational expressions. In the following examples, we'll try both techniques: multiply, then simplify; and simplify, then multiply. An important difference between fractions and rational expressions, though, is that we must identify any values for the variables that would result in division by 0 since this is undefined. These excluded values must be eliminated from the domain, the set of all possible values of the variable.Some rational expressions contain quadratic expressions and other multi-term polynomials. To multiply these rational expressions, factor the polynomials and then look for common factors. Just take it step by step, like in the example below.Rational expressions are multiplied and divided the same way numeric fractions are. To multiply, first find the greatest common factors of the numerator and denominator. Next, regroup the factors to make fractions equivalent to one. Then, multiply any remaining factors. To divide, first rewrite the division as multiplication by the reciprocal of the denominator. The steps are then the same as for multiplication.
When expressing a product or quotient, it is important to state the excluded values. These are all values of a variable that would make a denominator equal zero at any step in the calculations.
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
This can be easily understood with the triangle inequality theorem, which tells us that <em>"the sum of any two side of a triangle is always greater than the third side"</em>. Let's check:
- Is 6+9 greater than 12? Yes!
- Is 6+12 greater than 9? Yes!
- Is 9+12 greater than 6? Yes!
So, first of all, it is possible to create triangle(s). Moreover, it also says that <em>"If longest side is less than sum of the other two sides and those two sides are NOT equal, then we have two congruent triangles which are mirror images of each other"</em>.
Hence we can create 2 triangles.
