Top answers

There are 5 cards in order from smallest to largest, _ _ _ _ 8. The range is 6, the median is 6, the mode is 2, and the mean is 5. Find the numbers missing on the 4 blank cards.

The range is 6: The range is the difference between the smallest and largest value. So if the largest value is 8, then the smallest value is 8-6=2. The median is 6: Therefore the middle card must be 6. The m...
ET
Answered by Emily T. • Maths tutor
13336 Views

A car of mass 1000 kg is travelling at 15 m/s. The driver applies the brakes for 4 seconds, slowing the car to 5 m/s. What is the average power output of the brakes over the 4 seconds? Assume there are no other forces acting on the car.

Kinetic Energy, EK=(1/2)mv 2 . Energy is conserved, so the work done by the brakes, W, must be equal to the change in kinetic energy of the car, ∆EK. Therefore: W = ∆EK = (1/2) 1000 (15 2 -5 2 ) = 0.5 1000 2...
AH
Answered by Adam H. • Physics tutor
10047 Views

i) The point A on a graph is (6,-7), and point B is (3,5). Calculate the equation of the straight line that passes through both A and B. ii) Does the line pass through the point C (-2,26)?

i) Gradient (m) = ∆y/∆x. Therefore: m = (5-(-7))/(3-6) = (12)/(-3) = -4. Intercept (c) = 5-(3*(-4)) = 5+12 = 17. Therefore: y = -4x+17 ii) x = -2, y = 26. -4(-2) + 17 = 25. 25≠26, therefore the line does not...
AH
Answered by Adam H. • Maths tutor
3275 Views

How are is consumer and producer suplus shown on a diagram of supply and demand? How are both the division and amount of total surplus determined?

Starting with the curves themselves, we have a downward sloping demand curve as more people are willing to buy at lower prices. Conversely, seller will be willing to offer more goods for sale as the price in...
JL
Answered by Joshua L. • Economics tutor
2007 Views

How can I improve my overall fluency and the ease at which I am able to speak and understand French?

The greatest advice I could give would be to just immerse yourself, read, listen and speak as much as possible- use every opportunity that arises and search for those which are less visible and will push you...
KP
Answered by Kate P. • French tutor
2092 Views