The function d(x) = |x 100| can be used to find the number of degrees a container of water at a temperature of x degrees Celsius
2 answers:
Answer:
Step-by-step explanation:
The function d(x) takes a value of x in degrees centigrade and provides the number of degrees that a container of water at that temperature x is far from the boiling point of water.
The function f(d) takes a value d in degrees centigrade and returns a value d(x) in degrees fahrenheit.
Therefore, by doing f(d(x)) we are introducing the function d(x) within the function f(d).
So the range of d(x) now is the domain of f(d(x))
This means that the function f(d(x)) shows the <em>number of degrees Fahrenheit</em> that a water container at a<em> temperature x in degrees Celsius</em> is far from the boiling point of water.
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Answer:
A. 30.144
Step-by-step explanation:
This is a Chi-Squared test
Given:
- The significance level is 5%, so
To use the Chi-Square distribution table, you need to know two values:
- Degrees of freedom = (n - 1)
- Significance level
Degrees of Freedom = n - 1 = 20 - 1 = 19
The significance level is 5%, so
This is a one-tailed test since so Upper tail area = 0.05
Reading from the table (attached), the critical value is: 30.144
(This means that we reject if the test statistic is greater than 30.144)
First, we need to move the decimal point directly in front of the repeating part. To do this, we need to move it two places to the right, which we can do by multiplying by 100.
100 × 0.2045454545 = 20.45454545
Now we need to subtract our original number.
Now we put that over 99 (that's one less than our 100 from earlier)
Our fraction is shaping up, but we shouldn't have a decimal in there. Let's multiply the top and bottom by 100 to get rid of it.
We're going to have to do some simplifying. (the top and bottom are both clearly divisible by 5 and then some)
<em> done!</em>
100 × 0.2045454545 = 20.45454545
Now we need to subtract our original number.
Now we put that over 99 (that's one less than our 100 from earlier)
Our fraction is shaping up, but we shouldn't have a decimal in there. Let's multiply the top and bottom by 100 to get rid of it.
We're going to have to do some simplifying. (the top and bottom are both clearly divisible by 5 and then some)