a sameple of 137 firecrackers contained 6 duds. how many duds would you expect in a sample of 2466 firecrackers?
Honestly, it is neither beneficial to any of us for you to continually post so many questions without an explanation of what you need.
Anyways,
137 / 6 = firecrackers / duds
137/6 = 2466/x = firecrackers / duds
137/6 = 2466/x
cross multiply to get
137x = 2466*6
x = 108
so you would expect 108 duds
To find out how many duds you would expect in a sample of 2466 firecrackers, we can use the concept of proportionality.
Step 1: Calculate the proportion of duds in the given sample.
In the sample of 137 firecrackers, there were 6 duds.
So, the proportion of duds in the sample is 6/137.
Step 2: Set up a proportion.
Since we want to know the number of duds in a sample of 2466 firecrackers, we can set up a proportion as follows:
6/137 = x/2466
Here, x represents the number of duds we want to find.
Step 3: Solve for 'x'.
We can solve this proportion by cross-multiplication, which gives us:
6 * 2466 = 137 * x
14796 = 137 * x
Dividing both sides of the equation by 137, we get:
x = 14796 / 137
x ≈ 108
Therefore, we would expect approximately 108 duds in a sample of 2466 firecrackers.