Answer:
Its degree can be at least 1970
Step-by-step explanation:
for each root of the form √q, where q is not a square, we have a root -√q. Therefore, we need to find, among the numbers below to 1000, how many sqaures there are.
Since √1000 = 31.6, we have a total of 30 squares:
2², 3², 4², ...., 30², 31²
Each square gives one root and the non squares (there are 1000-30 = 970 of them) gives 2 roots (one for them and one for the opposite). Hence the smallest degree a rational polynomial can have is
970*2 + 30 = 1970
Answer:
11 grades of 85 did Brenda, Robert, and Timothy receive altogether.
Step-by-step explanation:
Let 6x be the number of 85 received by Brenda.
The number of 85 received by Robert is 1/3 of Brenda= 2x
The number of 85 received by Timothy is 1/2 of Brenda= 3x
Then according to the given conditions
6x+ 2x+ 3x
= 11x
So the number of total 85s received by all the three is 11.
11 grades of 85 did Brenda, Robert, and Timothy receive altogether.
Answer:
64
Step-by-step explanation:
this should be easy cause the 64 is bigger, so the parts are smaller. 192 divided by 64 is 3. 192 divided by 12 is 16. multiply, Yada yada… you get 64 is better!
Answer:
189 components must be sampled.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
That is z with a pvalue of 
, so Z = 2.575.
Now, find the margin of error M as such
Assume that component lifetimes are normally distributed with population standard deviation of 16 hours.
This means that 
How many components must be sampled so that a 99% confidence interval will have margin of error of 3 hours?
n components must be sampled.
n is found when M = 3. So
Rounding up:
189 components must be sampled.
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