What 4 numbers under 10 equals the product 2016
2 answers:
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Answer:
A
Step-by-step explanation:
So we have the two functions:
And we want to find (f/g)(x).
This is the same as:
So, substitute (2x+5) for f(x) and (x-8) for g(x). So:
Now, we want to find the domain.
Note that this is a rational function. The domain of a rational function is always all real numbers <em>except</em> when the denominator equals 0. This is because, remember, you can't divide by 0!
So, to find the domain restrictions, set the denominator equal to 0 and solve for x. So:
Solve for x. Add 8 to both sides:
So, our domain is all real numbers except for 8. We can check this, when x is 8, our function is 21/0, which is undefined.
Therefore, our answer is A.
And we're done!
Edit: Typo
Answer:
Step-by-step explanation:
If the two events are disjoint, then P(A or B)=P(A)+P(B).
We were given that:
and
This implies that:
We simplify the right hand side to obtain:
Answer:
The bolts with diameter less than 5.57 millimeters and with diameter greater than 5.85 millimeters should be rejected.
Step-by-step explanation:
We have been given that the diameters of bolts produced in a machine shop are normally distributed with a mean of 5.71 millimeters and a standard deviation of 0.08 millimeters.
Let us find the sample score that corresponds to z-score of bottom 4%.
From normal distribution table we got z-score corresponding to bottom 4% is -1.75 and z-score corresponding to top 4% or data above 96% is 1.75.
Upon substituting these values in z-score formula we will get our sample scores (x) as:
Therefore, the bolts with diameters less than 5.57 millimeters should be rejected.
Now let us find sample score corresponding to z-score of 1.75 as upper limit.
Therefore, the bolts with diameters greater than 5.85 millimeters should be rejected.