Answer:
You can reject the null at the 10% and 5% level of significance, but cannot reject the null at the 2%, or 1% level of significance. ( D )
Step-by-step explanation:
let : P = 0.6
x = 135 , n = 200
<em>p </em>= 135 / 200 = 0.675
H0 : P = 0.6
Ha : P ≠ 0.6
performing the test statistic = ( 0.675 - 0.6 ) /
= 0.075 / 0.0346 ≈ 2.17
p-value = 2 * P ( Z > - 2.17 ) ( using excel function ; NORMSDIST )
= 2 * 0.015 = 0.03
from your previous posting, you saw that y = 18, that means that the angle 2y + 6 is really 2(18) + 6 or namely 36 + 6 = 42°.
vertical angles, or namely angles across from each other at a junction, are always equal, so if 2y + 6 is 42°, then 8y - 102 is also 42°.
let's recall that a circle has a total of 360°, if we subtract those two vertical angles from a full circle, that'd be 360 - 42 - 42 = 276.
the angle 3x and its vertical angle twin, each take half of that 276° leftover, namely 276 ÷ 2 = 138°.
so now we know that 3x = 138,