A student concludes that for all values of x,x^2+x+1 produces a prime number. Which value of x serves as counterexample to prove
this conclusion false?
1 answer:
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Answer: D (-∞, ³⁄₂)
1. Find non - negative values for radicals. x ≤ ³⁄₂
2. Find undefined (singularity) points. x = ³⁄₂
3. Combine real regions and undefined points for final domain.
Final answer: x < ³⁄₂
Answer:
a)
b)
c)
Step-by-step explanation:
Part a
The significance level given is and the degrees of freedom are given by:
Since we are conducting a right tailed test we need to find a critical value on the t distirbution who accumulates 0.1 of the area in the right and we got:
Part b
The significance level given is and the degrees of freedom are given by:
Since we are conducting a left tailed test we need to find a critical value on the t distirbution who accumulates 0.01 of the area in the left and we got:
Part c
The significance level given is and
and the degrees of freedom are given by:
Since we are conducting a two tailed test we need to find a critical value on the t distirbution who accumulates 0.025 of the area on each tail and we got: