If the triangles are similar, then the corresponding ratio of their sides have equal ratios. Through ratio and proportion, we would determine the answer.
5/6 = x/9, where x is the length for side PN
Transposing the equation so that x is on the left side:
x = (5/6)*9
x = 7.5
Answer:
The probability is 7/36
Step-by-step explanation:
In this question, we are tasked with calculating the probability that when we roll two fair dice, the sum of two numbers on both dies equal to 5.
Before we go on answering the question, we need to know the number of elements in our sample space. What this means is that we need to know the number of results we can have. The total number of results we can have is 6 * 6 = 36
Now, the next thing to know is how many of our results would yield a multiple of 5 each. Now let’s look at the attachment for the tabular representation we have.
Now, looking at our table, we can see that we have 7 circled results where we have a possibility of a multiple of 5.
The probability is thus the number of these additions divided by the total number of outputs= 7/36
Answer: 0.05
Step-by-step explanation:
Given : Interval for uniform distribution : [46.0 minutes, 56.0 minutes]
The probability density function will be :-

The probability that a given class period runs between 50.75 and 51.25 minutes is given by :-

Hence, the probability that a given class period runs between 50.75 and 51.25 minutes = 0.05
Answer:
<h2>x = 2</h2>
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in LMNP rectangle
LN and MP are diagonals
so, LN and MP are Equal
x = 2x - 2
2 = 2x - x
2 = x
Answer:



Step-by-step explanation:
When given the following functions,
![g=[(-2,-7),(4,6),(6,-8),(7,4)]](https://tex.z-dn.net/?f=g%3D%5B%28-2%2C-7%29%2C%284%2C6%29%2C%286%2C-8%29%2C%287%2C4%29%5D)

One is asked to find the following,
1. Question 1

When finding the inverse of a function that is composed of defined points, one substitutes the input given into the function, then finds the output. After doing so, one must substitute the output into the function, and find its output. Thus, finding the inverse of the given input;


2. Question 2

Finding the inverse of a continuous function is essentially finding the opposite of the function. An easy trick to do so is to treat the evaluator (h(x)) like another variable. Solve the equation for (x) in terms of (h(x)). Then rewrite the equation in inverse function notation,


3. Question 3

This question essentially asks one to find the composition of the function. In essence, substitute function (h) into function (
) and simplify. Then substitute (-3) into the result.


Now substitute (-3) in place of (x),
