The answer is : (3x-1)(x+4)
The answer is b
2cos x + 1 = 0
2 cos x = -1
cos x = -1/2
x = cos^1(-1/2)
(cos inverse (-1/2))
x = 120°
This is not possible. Why not? Because the smallest the variance can get is 0.
Recall that 's' represents the standard deviation, so s^2 is the variance. It basically measures how spread out the values are. The higher the variance, the more spread out the data. You can think of it as "average distance from the mean". If the variance is 0, then all of the values are at the same point. So you could have a list like {2,2,2,2,2} which has variance 0. We cannot get any smaller variance than that. If your teacher insists all the values in the list are different, then the variance will be greater than 0.
Out of the weekly amount that Shashi Rimoko makes, a deduction of $37.93 is made for insurance.
The total Medical cost is $9,560 and out of this, the amount paid by Shashi per year is:
<em>= Amount x (1 - percentage paid by restaurant)</em>
= 9,560 x ( 1 - 80%)
= $1,912
The amount he pays for Dental coverage is:
<em>= Amount x (1 - percentage paid by restaurant)</em>
= 172 x (1 - 65%)
= $60.20
The total amount he pays for insurance per year is:
<em>= Medical + Dental </em>
= 1,912 + 60.20
= $1,972.20
The weekly deduction is:
<em>= Year amount / No. of weeks in year </em>
= 1,972.20 / 52
= $37.93
In conclusion, $37.93 is deducted from his paycheck every week.
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