Answer:
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Step-by-step explanation:
Given
In 1990; Income= $39000
In 2010; Income= $70768
Solving (a): An equation in form of f(x) = ax + b
First, we need to determine the slope, a

Taking y as income and x as year index.
When x = 0; y = 39000
When x = 20; y = 70768
Substitute these values in the above formula



Next, is to determine the formula using:

<em>Considering :When x = 0; y = 39000, we have</em>
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<em>Make y the subject of formula</em>
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<em>Express y as a function of x</em>
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Solving (b): Income in 2005
<em>In 2005, x = 15</em>
So:
becomes


Answer:

Step-by-step explanation:
Given
-- total
--- defective
--- selected
Required
The probability of rejecting the batch
This means that at least one of the selected piece is defected.
So, we first calculate the probability that all the selected piece are accepted.
So, we have:

The denominator decreases by 1 because it is a probability without replacement; 180 is subtracted from the numerator to represent the number of non-defective CDs
So, we have:


Using the complement rule, the probability that the batch will be rejected is:


=4/3 * 3.14 * 4.8³
=12.56/3 *110.592
=1389.0355/3
=463.01183
ie, 463 cubic inches(approx.)
Answer:
Not sure which ratio you need, but 6/9 = 2/3
Step-by-step explanation:
1.5xsalmon=swordfish
$39 = 2lb salmon and 3lb swordfish
1lb salmon=$6 6+6 = 12
1lb swordfish=$9 9+9+9 = 27
12+27 = 39