Answer:
<h2><u><em>
46 cm²</em></u></h2>
Step-by-step explanation
the figure is composed of a square with an isosceles right triangle inside, we find the area of the square and we take away the area of the triangle.
Triangle area = lxl, right-angled triangle area side by side divided by two.
8 * 8 = 64cm²
6 * 6 : 2 = 18 cm²
Area of the shaded region
64 - 18 = 46 cm²
Answer:
x<7
Step-by-step explanation:
Divide by -7 on both sides and when dividing by a negative you should flip the inequality sign.
Answer: We should expect its actual return in any particular year to be between<u> -40%</u> and<u> 80%</u>.
Step-by-step explanation:
Given : The continuously compounded annual return on a stock is normally distributed with a mean 20% and standard deviation of 30%.
From normal z-table, the z-value corresponds to 95.44 confidence is 2.
Therefore , the interval limits for 95.44 confidence level will be :
Lower limit = Mean -2(Standard deviation) = 20% -2(30%)= 20%-60%=-40%
Upper limit = Mean +2(Standard deviation)=20% +2(30%)= 20%+60%=80%
Hence, we should expect its actual return in any particular year to be between<u> -40%</u> and<u> 80%</u>.
Answer:
x < -4 ∪ x > 4
Step-by-step explanation:
The absolute value function is shifted down 3 units. The solution space is values of x where y = |x|-3 is greater than 1. The solution is shown in red in the attachments, and the left and right (dashed) sides of the inequality are shown in blue.
__
I personally prefer to rewrite the inequality so the comparison is to <em>zero</em>. That is done in the second attachment, which rewrites it to ...
|x| -4 > 0
by subtracting 1 from both sides. It is often easier to read the values of x-intercepts than it is to read the coordinate values where lines cross each other.
