When tow solids of similar shape that is assuming to be a box in this case, having a length ratio of 2:9, we get the ratio of the surface areas equal to the<span>square of the ratio of their edges. This is becaue the surface area is equal to the area of the base (square) which is the square of the side. Answer is B.</span>
The similarities are they are all quadrilaterals. the differences are a rectangle has two different sets of equal side, a square sides are all right angles all the same size, and a rhombus has opposite equal acute angles.
Using the given discrete distribution, it is found that the expected value is of $863.93.
<h3>What is the mean of a discrete distribution?</h3>
The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.
In this problem, the distribution of costs is given by:
Hence, the expected value is given by:
E(X) = 0.87 x 986 + 0.13 x 47 = $863.93.
More can be learned about discrete distributions at brainly.com/question/24855677
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The council tax bill before the increase is £1240
The equation that represents the percentage increase in council tax bill is :
percentage increase x t = £62
Where t represents the initial council tax bill - council tax bill before the 5% increase
5% x t = £62
0.05 x t = £62
Divide both sides of the equation by 0.05
t = £62 / 0.05 = £1240
To check if the answer derived is correct : 5% x 1240 = 62.
A similar question was answered here: brainly.com/question/12066598?referrer=searchResults
Answer: a) 146 units used b) the cost of the number of units used is 3136 p.
Step-by-step explanation:
Since we have given that
First 100 units = 24 p per unit
Remaining units = 16 p per unit
New reading = 7143 units
Old reading = 6997 units
Difference between the readings would be

So, there are 146 units used.
(B) Calculate the cost of the number of units used
There are 146 units
For the first 100 units = 24 p per unit
For the remaining i.e. 146-1400 = 46 units , cost = 16 p per unit
Total cost of the number of units used is given by

Hence, a) 146 units used b) the cost of the number of units used is 3136 p.