Answer:
464
Step-by-step explanation:
X=2 because both coordinates have x as 2
We are given polynomial:
.
We need to explain why the binomial (x + 2) IS a factor of this polynomial expression and why the binomial (x + 1) IS NOT a factor of this polynomial expression.
Let us set first factor equal to 0 and solve for x.
x+2=0
x=-2.
Plugging x=-2 in given polynomial, we get



<em>Because x=-2 gives 0 on plugging in given polynomial, so it's factor of given polynomial expression.</em>
Now, let us check second factor x+1=0
x=-1.
Plugging x=-1 in given polynomial, we get

=-5+8+7-6.
= -4.
<em>Because x=-1 doesn't gives 0 on plugging in given polynomial, so it's not a factor of given polynomial expression.</em>
With
a standard deviation of 6 minutes, we will test the hypothesis that σ = 6
against the alternative that σ < 6 if a random sample of the test
times of 20 high school seniors has a standard deviation s = 4.51. use a
0.05 level of significance.
<span /><span><span>
</span></span>
Answer:
458
Step-by-step explanation:
Margin of error = critical value × standard error
At 99% confidence, the critical value is z = 2.576.
The standard error is σ/√n = 5.4/√n.
Given the desired margin of error is 0.65:
0.65 = 2.576 × 5.4/√n
n = 458