y varies directly as x, y=14 when x=18. Determine x when y=31. Estimate your answer to two places after the decimal, if necessar
1 answer:
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Answer:
b.
Step-by-step explanation:
We have to look at sign changes in f(x) to determine the possible positive real roots.
There is only one sign change here, between the -8x and the +4. So that means there is only 1 possible real positive root.
Now we have to look at sign changes in f(-x) to determine the possible negative real roots.
There are 3 sign changes here. That means there are either 3 negative roots or 3-2 = 1 negative root. So we have:
1 positive
3 or 1 negative
We need to pair them up now with all the possible combinations.
If we have 1 positive and 1 negative, we have to have 2 imaginary
If we have 1 positive and 3 negative, we have to have 0 imaginary
Keep in mind that the total number or roots--positive, negative, imaginary--have to add up to equal the degree of the polynomial. This is a 4th degree polynomial, so we will have 4 roots.
Answer:
1. 5/6
2. 7/8
3. 1/2
4. 5/4
5. 4/5
6. 5/4
7. 11/12
8. 5/2
9. 11/12
10. 2/3
11. 13/20
12. 1/12
13. 7/22
14. 7/18
15. 2/3
16. 5/12
17. 5/12
18. 3/8
b) Blue color had an experimental probability that matched its theoretical probability.
Explanation:
Since we have given that
Number of times this spinner is spinned = 60
Number of times black occur = 17
Number of times blue occur = 15
Number of times orange occur = 21
Number of times purple occur = 7
a) So, Experimental probability of a spin of orange is given by
b) which color had an experimental probability that matched its theoretical probability.
According to theoretical probability ,
Every event must have equal probability, i.e.
And,
So, Blue color had an experimental probability that matched its theoretical probability.