To find the x-intercept, substitute in
0
0
for
y
y
and solve for
x
x
. To find the y-intercept, substitute in
0
0
for
x
x
and solve for
y
y
.
x-intercept(s):
None
None
y-intercept(s):
(
0
,
6
)
We need to test the hypotheses:
The confidence interval for proportion is
.
Here
The z value to be used is 1.96.
The 95% CI is
.
Since 0.5 lies in the interval (0.488,0.543), we cannot reject the null hypothesis with 95% confidence.
<u>Answer:</u>
∠MKL
<u>Step-by-step explanation:</u>
Two angles are said to be adjacent angles if they share a common vertex and a common side but they do not overlap.
The triangle given here is ΔMKL with a line extended outside from K to J.
The two angles ∠MKL and ∠MKJ are adjacent angles as they share a common vertex K and a common side which is MK. The angle ∠MKL comes in the closed triangle while ∠MKJ is formed by extending the point K.
Therefore, ∠MKL is an interior adjacent angle while ∠MKJ is the exterior adjacent angle here.
1)
x^2 + 4 = 0 Subtract 4 from each side
x^2 = -4
You cannot square a number to get a negative number. No real solution. (If you have learned about imaginary numbers, answer is 2i)
2)
<span>x^2+x-6=0 Factor. 3 and -2 add up to 1, and multiply to -6
(x+3)(x-2) = 0
Zero Product Property: Which numbers would put a zero in one of the parentheses?
x = -3 or x=2
3) </span><span>x^2-6x+7=0
Completing the Square:
Take half of b (-6), square it, and add/subtract that coefficient
x^2 - 6x + 9 - 9 + 7 = 0
(x -3)^2 - 2 = 0 Add 2 to both sides
(x-3)^2</span> = 2 Take the square root of both sides
<span>(x-3) = </span>√2 or -√2 Add 3 to both sides
<span>x = 3 + </span>√2 or 3 - √2<span>
</span>