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Answer:
F(t) = 10 + 5(t)
Step-by-step explanation:
The complete question is as follows;
Anumeha is mowing lawns for a summer job. For each lawn she mows, she charges a $10 starting fee plus an hourly rate. For example, her fee for a 5-hour job is $35. Let f(t) denote Anumeha's fee for a job f (in dollars) based on how many hours (t) were needed to finish it. Write the formula for this function.
Solution
We aim to establish the formula F(t) representing the fee Anumeha charges per job.
Key to formulating this function is understanding the constant charge she applies per job.
We know she earns $35 for mowing for 5 hours.
Therefore, the constant fee can be deduced as follows;
Since it’s a $10 starting fee along with an hourly rate;
35 = 10 + 5(x)
where x refers to the hourly rate
35 = 10 + 5x
5x = 35-10
5x = 25
x = 25/5
x = $5
This indicates that she charges a constant fee of $5 per hour
Thus, we can now write the equation.
F(t) = 10 + 5(t)
where t represents the number of hours spent on each job
a) These samples are dependent, as measurements are taken from the same individuals at different times using different methods. b) Upon examining the QQ plot, it shows no considerable deviations suggesting a normal distribution assumption for the differences. c) For the hypotheses indicated, a paired t-test is suitable due to the repeated measurements. Evaluating the p-value reveals it exceeds the significance threshold, leading to the conclusion that we FAIL to reject the null hypothesis, thus indicating that the mean difference is not significantly different from 0.
Answer: Circle C has a radius of 7 cm.
Explanation:
Referring to the illustration below:
Let's denote the radius of circle C as x.
Circle A's radius can be represented as 2x.
Circle B's radius can be expressed as 4x.
The length of side AC in triangle ΔABC becomes x + 2x = 3x.
For side BC of triangle ΔABC, we get 4x + x = 5x.
Similarly, for side AB of triangle ΔABC, it is 4x + 2x = 6x.
Given that the perimeter of triangle ΔABC totals 98 cm.
Remember, the perimeter refers to the total length around the triangle.
Hence, Perimeter = 6x + 5x + 3x = 98 cm.
Thus, 14x = 98.
From this, we find x = 
.
Therefore, x = 7.
This concludes that the radius of circle C is 7 cm.
