How are inequality and equation similar and different
1 answer:
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Answer:
a:d=7:9
Step-by-step explanation:
We have a system with 3 equation:
If we multiply all of these equations, then we have:
If we simplify this fraction dividing by 9, then:
Therefore, a:d=7:9
By using proportions, We expect 150 defects out of the 10,000 cars if the 3 defects out of the 200 cars sampled is representative of all 10,000 cars.
Option A is correct.
First, let's set up the proportions.
A proportion is an equation in which two ratios are set equal to each other.
We have 3/200 cars with defects and we want to know X for X/10000.
So 3/200 = X/10000
Now solve for X.
3/200 = X/10000
X =
X = 150
So the answer is: We expect 150 defects out of the 10,000 cars if the 3 defects out of the 200 cars sampled is representative of all 10,000 cars.
Option A is correct.
Find out more information about proportions here
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Answer:
The sequence above is a geometric sequence
For an nth in a geometric sequence
where n is the number of terms
a is the first term
r is the common ratio
From the question
a = 45
r = 15 / 45
The explicit formula for the sequence is
U(n) = 45(1/3)^n-1
Hope this helps you