Let s be Seth's age. let r be Romans age. 5 years ago Seth was s-5 and Roman was three times as old, or 3(s-5), or 3s-15=r-5
in ten years Seth will be s+10 and Roman will be twice as old, or 2(s+10), or 2s+20=r+10
3s-15 =r-5
r=3s-10
2s+20=r+10
r=2s+10
3s-10=2s+10
s=20
Seth is 20 years old
setting the two equations equal gives us
3(s-5)=2(s+10)
3s-15=2s+20
s=35
Hello there!
Here is the answer worked out for you!
12x[-1+sqrt(5)]
-12x+12xsqrt(5)
Remember that you can only add like terms so you can't add -12x to 12xsqrt(5). The radical makes it an unlike term.
I hope this helped and best wishes!
Answer:
But we need to calculate the mean with the following formula:
And replacing we got:
And for the sample variance we have:
And thi is the best estimator for the population variance since is an unbiased estimator od the population variance 
Step-by-step explanation:
For this case we have the following data:
1.04,1.00,1.13,1.08,1.11
And in order to estimate the population variance we can use the sample variance formula:
But we need to calculate the mean with the following formula:
And replacing we got:
And for the sample variance we have:
And thi is the best estimator for the population variance since is an unbiased estimator od the population variance
Answer: 4. A
5. C
6. B
Step-by-step explanation:
Answer:
the equation of the line is y = -3x - 6
Step-by-step explanation:
Note that since (0, -6) is the y-intercept, we can write the slope-intercept equation of the line as y = mx - 6. The other given point is (-2, 0) (which happens to be the x-intercept also). Starting with y = mx - 6, replace y with 0 and x with -2:
0 = m(-2) - 6. We now solve this for the slope, m: 0 = -2m - 6 becomes
2m = -6, or m = -3.
With m = -3 and b = -6, the equation of the line is y = -3x - 6
