Given rational expression is:
Now we can simplify this by factoring as shown below:
Hence final answer is
Simon is doing a card trick using a standard 52 card deck. He shows his friend a card, replace it, and then shows his other frie
1 answer:
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Answer:
The score that separates the lower 5% of the class from the rest of the class is 55.6.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
Find the score that separates the lower 5% of the class from the rest of the class.
This score is the 5th percentile, which is X when Z has a pvalue of 0.05. So it is X when Z = -1.645.
The score that separates the lower 5% of the class from the rest of the class is 55.6.
Answer:
<h2>The answer is option A</h2>Step-by-step explanation:
Since the triangle is a right angled triangle we can use the Pythagoras theorem to find the missing side
Using the Pythagoras theorem
That's
From the question
x is the hypotenuse or the longest side of the triangle
Substituting the values into the above formula we have
Find the square root of both sides
We have the final answer as
<h3>x = √130 m</h3>Hope this helps you