3. Sqrt of 40
4. Sqrt of 148
Distance formula is sqrt of (x-x1)^2+(y-y1)^2
So (-4-2)^2+ (3-5)^2
(-6)^2+(-2)^2
36+4
Sqrt of 40
Do the same process for 4!
Ps don’t forget to keep the square root
3x² - 21
Factor 3 from both terms:
3 (x² - 7)
To me, that's as far as you should need to go. But if you want to get
completely carried away, you could go one step further, since you have
the difference of two squares:
3 (x + √7) (x - √7)
Of course, there's no end now, because the last binomial could be
considered another difference of two squares, so you'd have to
factor that too:
3 (x + √7) (√x + ⁴√7) (√x - ⁴√7)
but to me, this would be nonsense.
Considering the situation described, the scientist's null and alternative hypothesis are described by:
Null hypothesis 
; Alternative hypothesis 
.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis, it is tested if there is no difference, that is, the difference of the means represented by 
is of 0, hence:
At the alternative hypothesis, it is tested if there is a difference, hence:
More can be learned about an hypothesis test at brainly.com/question/26454209
5: 11.97
6: 4.1
7: 14.484
8: 12.34
Hope this helps!
