What are the solutions of /x+6/is greater than or equal to 5. Write the solutions as either the union or the intersection of two
1 answer:
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Answer: C. Yes, because -2.77 falls in the critical region .
Step-by-step explanation:
Let be the population mean .
As per given , we have
Since the alternative hypothesis is left-tailed and population standard deviation is not given , so we need to perform a left-tailed t-test.
Test statistic :
Also, it is given that ,
n= 48
s= 10
Degree of freedom = df = n-1= 47
Using t-distribution , we have
Critical value =
Since, the absolute t-value (|-2.77|=2.77) is greater than the critical value.
So , we reject the null hypothesis.
i.e. -2.77 falls in the critical region.
[Critical region is the region of values that associates with the rejection of the null hypothesis at a given probability level.]
Conclusion : We have sufficient evidence to support the claim that these inspectors are slower than average.
Hence, the correct answer is C. Yes, because -2.77 falls in the critical region
Answer with explanation:
Pre -image= Vertices of Δ R ST=R(2, 0), S(4, 0), and T(1, –3)
Image of Δ R ST after rotation= R'(0, –2), S'(0, –4), and T'(–3, –1)
Pre-Image lies in Fourth Quadrant and Image lies in Third Quadrant.
If triangle is rotated by different angles in anticlockwise direction,then
If triangle is rotated by different angles in Clockwise direction,then
⇒→So, Pre image that is ,Δ R ST having vertices ,R(2, 0), S(4, 0), and T(1, –3) when rotated by either 90° in clockwise direction or by 270°, in anticlockwise Direction to get Image Δ R' S'T' having vertices R'(0, –2), S'(0, –4), and T'(–3, –1) .
