Hi Cuppykitty!!
30% I believe because we still have those to rectangles on the side
Hope this helps :)
Answer:
a). Yes. Area will be less than 100 square in.
b). Area of octagon = 82 in²
Step-by-step explanation:
From the picture attached,
a). Octagon is inscribed in a square having one side = 10 inches.
Since, octagon is obtained by cutting off the four equal corners of the square,
Area of octagon will be less than the area of the square.
Area of square = (side)²
= 10²
= 100 in²
Therefore, area of octagon will be less than 100 in²
b). Since, corner cut off from the square are equal in shape and area,
Area of one corner (right angle triangle) = 
=
= 4.5 in²
Area of 4 corners = 4.5 × 4 = 18 in²
Area of octagon = Area of square - Area of 4 corners removed
= 100 - 18
= 82 in²
Missing portion in question:
Tax rate for Social Security and Medicare for the company The Open-Pit Furnace Co. is not given in the question. Usually these taxes apply on following rate:
Social Security Tax Rate = 6.2%
Medicare Tax Rate = 1.45%
Answer:
$6,500
Step-by-step explanation:
Total deducted amount from her salary was $497.25 i.e. some of the taxes for social security and medicare. If these taxes are on the rate mentioned above, total salary can be calculated.
Total deduction = (6.2%+1.45%) of the salary
497.25=7.65% of the salary
Let the total salary = $x

So, her monthly salary is $6500
Answer:
The minimum grade a student needs to have to qualify for the bonus points is of 85.16.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 72 and a standard deviation of 8.
This means that 
What is the minimum grade a student needs to have to qualify for the bonus points?
The 100 - 5 = 95th percentile, which is X when Z has a p-value of 0.95, so X when Z = 1.645.




The minimum grade a student needs to have to qualify for the bonus points is of 85.16.