A person who is 6 feet tall has a 2 foot shadow, while a telephone pole has a 16 foot long shadow. How tall is the telephone pol
2 answers:
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Answer:
-- Domain
-- Range
It is a function
Step-by-step explanation:
Given
Required
State the domain and range
Determine if the relation is a function
From the question, we have the domain and range as:
-- Domain
-- Range
Next, is to determine if the relation is a function or not.
Yes, it is a function.
The number of elements in the domain is 4
The number of elements in the range is 3
<em>When the domain has more elements than the range, this is called a many-to-one function, and it is a valid type of function.</em>
Using the normal distribution, it is found that 63.18% of the area under the curve of the standard normal distribution is between z = − 0.9 z = - 0.9.
<h3>Normal Probability Distribution</h3>The z-score of a measure X of a normally distributed variable with mean and standard deviation
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The area within 0.9 standard deviations of the mean is the <u>p-value of Z = 0.9(0.8159) subtracted by the p-value of Z = -0.9(0.1841)</u>, hence:
0.8159 - 0.1841 = 0.6318 = 63.18%.
More can be learned about the normal distribution at brainly.com/question/4079902
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Answer:
Step-by-step explanation:
The original expression given in the text is
(1)
And we want to check to what other expressions is equivalent. First of all, we solve it by writing explicitely each term:
(2)
Let's verify each of the other expressions separately. For the first one:
We see that this is equivalent to expression (1), since the first half is identical, while in the second one, the combination "+-" can be simply written as "-", so we get
Which is equivalent to (1).
For the 2nd one:
This is not equivalent. In fact, here we have applied the distributive property to each term: however, the 3rd and 4th term are not correct, because the (3) must be negative (-3), as in the original expression.
If we write it explicitely in fact, we get
Which is different from (2).
For the 3rd one:
This one is equivalent. In fact, here we have applied the distributive property correctly. By solvign each term we get: