Answer:


Step-by-step explanation:
Represent Celsius with C and Fahrenheit with F.
So, we have:


Solving (a): Represent as a linear equation
First, we calculate the slope:

This gives:



The linear equation is then calculated using:

Where




Make F the subject


Solving (b): The value of F when C = 30
Substitute 30 for C in 



She will also need the minimum value, the median, the upper quartile and the lower quartile.
The box will be drawn from the upper quartile to the lower quartile, with a vertical line at the median. The whiskers will go from the box to the highest and lowest values.
You have a right triangle situation here, and what you are looking for is the length of the hypotenuse. The leg perpendicular to the ground is 100, and the base angle that is NOT the right angle, is 65. So your equation is set up like this: sin 65 = 100/x. Rearrange that a bit to get x alone: x = 100/ sin 65. Make sure your calculator is in degree mode and solve for x. x = 110.34 feet of string.