Quadrilateral A B D C is shown. In quadrilateral ABDC, AB ∥ CD. Which additional piece of information is needed to determine tha
2 answers:
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Answer:
The faster computer can do the job in 20 mins on it own.
Step-by-step explanation:
Given:
Time taken by slower computer to do job on its own =30 minutes.
Time taken by both the computers to do the job = 12 mins.
We need to find the Time taken by faster computer to do job on its own.
Solution:
Let the the Time taken by faster computer to do job on its own be 'x'.
Now we know that;
Rate to complete the job is equal to number of jobs divided by time taken to complete the job.
Rate of faster computer =
Rate of slower computer =
Rate of both the computers =
Now we can say that;
Rate of both the computers is equal to sum of Rate of faster computer and Rate of slower computer.
framing in equation form we get;
Now we will take the LCM to make the denominator common we get;
Now denominator are same so we will solve the numerator.
Hence The faster computer can do the job in 20 mins on it own.
Answer:
Yes, there is evidence to support that claim that instructor 1 is more effective than instructor 2
Step-by-step explanation:
We can conduct a hypothesis test for the difference of 2 proportions. If there is no difference in instructor quality, then the difference in proportions will be zero. That makes the null hypothesis
H0: p1 - p2 = 0
The question is asking whether instructor 1 is more effective, so if he is, his proportion will be larger than instructor 2, so the difference would result in a positive number. This makes the alternate hypothesis
Ha: p1 - p2 > 0
This is a right tailed test (the > or < sign always point to the critical region like an arrowhead)
We will use a significance level of 95% to conduct our test. This makes the critical values for our test statistic: z > 1.645.
If our test statistic falls in this region, we will reject the null hypothesis.
<u>See the attached photo for the hypothesis test and conclusion</u>
Answer:
503
Step-by-step explanation:
For an arithmetic sequence, the n-th term is found by
To find (the common difference) we can simply subtract one of the terms by the last, for example:
The common difference must be the same throughout the entire sequence, so we can do it once more just to be sure:
We also have to know that stands for the first term of the sequence, which in this case is 311.
Now that we know this, let's find the 32nd term
Good luck!