When you graph the two functions given, the graph B) shift 1 unit to the right.
Graph the two functions, see attached pictures:
<em>~Rise Above the Ordinary</em>
Find a slope of each line (each block is one unit):
2 answers:
Answer: <em>m = 3/2</em>
Step-by-step explanation: In algebra, we use the word <em>slope</em> to describe how steep a line is and slope can be found using the ratio rise/run between any two points that are on that line.
So for the line you see here, let's use the points A and B to find its slope. I have labeled these points in the attachment that's is provided.
To get from point A to point B, we would rise 6 units and run 4 units. So the slope of this line or its rise/run is 6/4.
As a last step to these problems, make sure you have reduced your slope as much as possible and notice that 6/4 can be reduced to 3/2.
The variable that's used to represent slope is <em>m</em>.
So for this line we would say that <em>m = 3/2</em>.
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Answer:
0.2992 = 29.92% probability of obtaining at least 8 failures.
Step-by-step explanation:
For each dice, there are only two possible outcomes. Either a failure is obtained, or a success is obtained. Trials are independent, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
A success is 5 or 6.
A dice has 6 sides, numbered 1 to 6. Since a success is 5 or 6, the other 4 numbers are failures, and the probability of failure is:
10 normal six sided dice are thrown.
This means that
Find the probability of obtaining at least 8 failures.
This is:
So
Then
0.2992 = 29.92% probability of obtaining at least 8 failures.