
This happens whenever

or

. More generally,

whenever you start with one of these angles and add any multiple of

, so the general solution would be

, where

is any integer. (Notice that when

, you end up with

.)
A suitable probability calculator can tell you the probability is about 6.7%.
_____
The standard deviation of the distribution of sample means is the population standard deviation (6) divided by the square root of the sample size (√144=12). Thus, your threshold is about (19.25-20)/(6/12) = -1.5 standard deviations from the mean.
Answer:
$73000
Step-by-step explanation:
Given: Social security tax paid by Yolanda is $4562.
6.2% tax to be paid on earning to the maximum income of $128400.
Lets assume Yolanda´s income be `x`.
Now, calculating the taxable income of Yolanda
∴ 
⇒ 
Cross multiplying both side
⇒ x= 
∴x= $73000
∴ Yolanda´s taxable income is $73000.
Answer:
Step-by-step explanation:

3{-1 + 3 [ 7 - 2(-10 + 8)]} Work out ' inside' parentheses first:-
= 3{-1 + 3 [7 - 2*-2]}
= 3 { -1 + 3 [7 + 4]}
= 3 { -1 + 3*11}
= 3 * 32
= 96 answer