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- Question 1 of 10
##### 1. Question

Sean is biking with a constant speed towards town B from town A. With the aid of wind, which has a speed of 2.5 km it takes him only one hour to reach the destination. However, on the way back to town A he has to bike against the wind, and it takes him three hours to reach town A. Find Sean’s speed.

km/h

CorrectIncorrect - Question 2 of 10
##### 2. Question

Two apples and three peaches cost \($1.35\), while four apples and nine peaches cost \($3.75\). Find the cost of each.

apple = cents, peach = cents

CorrectIncorrect - Question 3 of 10
##### 3. Question

Find the vertical asymptote(s) of \(f\left( x \right) = \dfrac{1}{{{{\left( {x – 2} \right)}^2}}}\).

CorrectIncorrect - Question 4 of 10
##### 4. Question

Find the acute angle, correcting to the nearest degree, between the lines: \(x + 2y = 4\) and \(5x – 2y = 3\).

degree(s)

CorrectIncorrect##### Hint

\(\cos \theta = \dfrac{{\left| {\vec a \bullet \vec b} \right|}}{{\left| {\vec a} \right|\left| {\vec b} \right|}}\)

- Question 5 of 10
##### 5. Question

Simplify 32 g – 5566 mg + 0.02 t in kg, correcting to two decimal places.

kg

CorrectIncorrect - Question 6 of 10
##### 6. Question

Find the perimeter, correcting to one decimal place.

CorrectIncorrect - Question 7 of 10
##### 7. Question

Find the financial expectation of a ticket in a raffle. The raffle has 500 tickets and there is one prize worth 200 dollars.

dollar(s)

CorrectIncorrect - Question 8 of 10
##### 8. Question

A score was added to the set of scores: \( 15, 18, 20, 22, 24 \) and \( 26 \). The new mean is equal to \( 20 \). Find the new mode.

The new mode is .

CorrectIncorrect - Question 9 of 10
##### 9. Question

Find the median of the scores.

\( \begin{array}{|c|c|} \hline

Score & Frequency \\ \hline

10 & 3 \\ \hline

20 & 8 \\ \hline

30 & 10 \\ \hline

40 & 15 \\ \hline

\end{array} \)There are scores.

So, the median is the th score.

Thus, the median is

CorrectIncorrect - Question 10 of 10
##### 10. Question

Describe the strength of the linear relationship with correlation coefficient \(r = 0.9\).

CorrectIncorrect