Using <span>Descartes' rule of signs.
There are 4 changes of signs of coefficients:
+ to - (+x^6-x^5)
- to + (-x^4+4x^3)
+ to - (+4x^3-12x^2)
- to + (-12x^2+12)
Therefore, there are 4,2 or 0 positive roots </span><span><span>at most</span>. So it must be the third answer.
</span>
Answer:
Question A)
Question B)
Question C)
Step-by-step explanation:
A)
We are given:
We can rewrite the expression:
The square root and square will cancel each other out. Thus:
B)
We are given:
Rewrite:
Note that the square root of 9 is simply 3. We can also factor the second part:
Rewriting:
Simplify:
C)
We are given:
Rewrite. Note that 50 = 25(2):
Simplify. We can rewrite the factor as:
The square and square root will cancel out. Thus:
On day 3, the chart meets up at the same point, so on that day they will have had the same number left.
Step-by-step explanation:
I I found the answer, answer is 359 stop answer dear
Answer:
E
Step-by-step explanation:
Solution:-
- We are to investigate the confidence interval of 95% for the population mean of walking times from Fretwell Building to the college of education building.
- The survey team took a sample of size n = 24 students and obtained the following results:
Sample mean ( x^ ) = 12.3 mins
Sample standard deviation ( s ) = 3.2 mins
- The sample taken was random and independent. We can assume normality of the sample.
- First we compute the critical value for the statistics.
- The z-distribution is a function of two inputs as follows:
- Significance Level ( α / 2 ) = ( 1 - CI ) / 2 = 0.05/2 = 0.025
Compute: z-critical = z_0.025 = +/- 1.96
- The confidence interval for the population mean ( u ) of walking times is given below:
[ x^ - z-critical*s / √n , x^ + z-critical*s / √n ]
Answer: [ 12.3 - 1.96*3.2 / √24 , 12.3 + 1.96*3.2 / √24 ]
