Answer:
Assume:
(angle) RSB and angle (LSA) = D
and (line) ASR and (line) LSB is striaght then
(9x +27) + D = 180
(6x + 66) + D = 180
9x + D = 153
6x + D = 114
substitute
6x + D = 114
D = 114 - 6 x
9x + (114 - 6x) =153
3x = 39
x = 13
D = 114 - 6(13)
D=36
Step-by-step explanation:
<span>y=−1/3x+1
</span>x = -6, y = −1/3(-6) +1 = 3<span>
x = -3, y = </span>−1/3(-3) +1 = 2<span>
x = 0, y = 1
</span>x = 3, y = −1/3(3) +1 = 0
x = 6, y = −1/3(6) +1 = -1
<span>
Table
x y
-6 3
-3 2
0 1
3 0
6 -1
</span>
<span>Simplifying
(6a + -8b)(6a + 8b) = 0
Multiply (6a + -8b) * (6a + 8b)
(6a * (6a + 8b) + -8b * (6a + 8b)) = 0
((6a * 6a + 8b * 6a) + -8b * (6a + 8b)) = 0
Reorder the terms:
((48ab + 36a2) + -8b * (6a + 8b)) = 0
((48ab + 36a2) + -8b * (6a + 8b)) = 0
(48ab + 36a2 + (6a * -8b + 8b * -8b)) = 0
(48ab + 36a2 + (-48ab + -64b2)) = 0
Reorder the terms:
(48ab + -48ab + 36a2 + -64b2) = 0
Combine like terms: 48ab + -48ab = 0
(0 + 36a2 + -64b2) = 0
(36a2 + -64b2) = 0
Solving
36a2 + -64b2 = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '64b2' to each side of the equation.
36a2 + -64b2 + 64b2 = 0 + 64b2
Combine like terms: -64b2 + 64b2 = 0
36a2 + 0 = 0 + 64b2
36a2 = 0 + 64b2
Remove the zero:
36a2 = 64b2
Divide each side by '36'.
a2 = 1.777777778b2
Simplifying
a2 = 1.777777778b2
Take the square root of each side:
a = {-1.333333333b, 1.333333333b}</span>
Answer:
<em> 85% level of the confidence interval is</em>
<em>(26.337, 26.662)</em>
Step-by-step explanation:
<u><em>Explanation</em></u>:-
Given the size of the sample 'n' = 295
Mean of the sample x⁻ = 26.5
The Standard deviation of the Population = 2.7
85% level of the confidence interval is determined by
Critical value Z₀.₁₅ = 1.036
<em> 85% level of the confidence interval is determined by</em>
( 26.5 - 0.1628 , 26.5+0.1628)
(26.3372,26.6628)
Answer:
the answer is the second choice
Step-by-step explanation:
hopefully this helps :)
