Answer:
(0.392 ; 0.508)
Step-by-step explanation:
Given that :
p = 45% = 0.45
α = 1 - 90% = 0.1
Zα/2 = Z0.01/2 = Z0.05 = 1.645 (from Z standard table).
Using the relation :
p ± Z0.05*sqrt((p(1-p))/n)
p ± 1.645 * sqrt(0.45(0.55)/200)
p ± 1.645 * sqrt(0.0012375)
p ± 1.645 *0.0351781
0.45 - (1.645 * 0.0351781) = 0.3921320255
0.45 + (1.645 * 0.0351781) = 0.5078679745
(0.392 ; 0.508)
-2/5
Explanation
A additive inverse of a number that when added to that number it is zero
2/5+-2/5=0
So the additive inverse is
-2/5
For 16 its asking to go from (0,0 ) To the point given.
On 17. Point a dot at each point given. Then draw the triangle.
Hope this helps.
-6 - (-3x - 3) = 3(-x - 4) + 4
-6 - 1(3x - 3) = 3(-x) - 3(4) + 4
-6 - 1(3x) + 1(3) = -3x - 12 + 4
-6 - 3x + 3 = -3x - 8
-6 + 3 - 3x = -3x - 8
-3 - 3x = -3x - 8
+ 8 + 8
5 - 3x = -3x
+ 3x + 3x
5 = 0x
0 0
undefined = x
The answer is (4, -6), or the fourth option.