A spinner with the colors orange, yellow, purple, and green is spun. What is the theoretical probability, as a decimal, of stopp
1 answer:
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Answer:
4 real zeros, up on left, up on right
Step-by-step explanation:
The positive coefficient of x^4 tells you the graph will open upward (up on left, up on right). Descarte's rule of signs tells you there will be 0 or 2 positive real roots and 0 or 2 negative real roots. Based solely on end-behavior, the appropriate choice is the last one: ... up on left, up on right.
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<em>More about the zeros</em>
The sum of coefficients is zero, indicating x=1 is a root (zero). Hence there will be 2 positive real roots. Changing the signs of the coefficients of odd-degree terms also gives a sum of coefficients that is zero, indicating x=-1 is a root and that there are 2 negative real roots. At this point, you have enough information to factor the function completely, if you want. You also know there are 4 real roots.
Answer:
107,426, bigger
Step-by-step explanation:
Given that a soccer ball manufacturer wants to estimate the mean circumference of soccer balls within 0.05 in.
Margin of error = 0.05 inches
Since population std deviation is known we can use z critical value.
(a) i.e. for 99% confidence interval
Z critical = 2.58
A minimum sample size of 107 needed.
b)
Here minimum sample size = 426
Due to the increased variability in the population, a bigger sample size is needed to ensure the desired accuracy.