Start with the first sentence, and the definition of the area of a rectangle:
l * w = 36
Rewrite the equation to get
l = 36 / w
or
w = 36 / l
Either one shows the inverse relationship between w and l.
Assuming the last part wants you to write an equation for an x-y graph, the equation would be
y = 36 / x
Answer: it is a right tailed probability
Step-by-step explanation:
Population proportion = 26.9/100 = 0.269
We are dealing with the fact that the probability that the mean bond percent for the sample will be at least 28. This means that the sample proportion is 0.28 or above. This means that it is greater than the population proportion of 0.269
The hypothesis would be
For null hypothesis
p = 0.269
For alternative hypothesis,
p > 0.269
The inequality sign means that it is right tailed.
The total cost of the factory will be the sum of its variable costs and it's fixed costs. The factory has fixed costs of $53,900 and variable costs of $12.50 per unit produced. Let 
be the number of toy's produced by this Toby's Tiny Toys, then the total variable costs will be 
. From this information we can gather that the cost function for this factory is,
On the other hand, if we let be the number of toys sold, we can gather that at the selling price of 16.50, the revenue function will be ,
Toby's Tiny Toys will reach their break even point when the total costs are equal to the total revenue. At this break even point ,we have that
The company has to sell 134 750 units to break even.
32 miles is the same as 19.8839 kilometers
There are 3.78541 liters in a gallon
Now we divide the two.
19.8839 / 3.78541 ≈ 5.25
The American car gets 5.25 km per liter. So the European car is better on gas economy.
Answer:
A)196J
B)-208J
C)3467J
Step-by-step explanation:
We are given that a 20 kg cylindrical mass is dropped onto the mat from a height of 1 m above the mat. During the impact, the cylinder’s vertical velocity reaches zero at the instant the mat has compressed to only 4 cm thick.
So, The Mat gets compressed by : 10cm - 4 cm = 6 cm=0.06 m
a)
Using Conservations of energy
Potential energy at the top = Kinetic energy at the point before touching the surface
Kinetic energy = mgh= 
b)
Work done by the mat do to stop the fall of the cylinder =
C)
Work done=
F=3467J
