To find the area of the triangle shown we have to find the length of a and the base.
a can be found using the sine function. Recall sin = (opp)/(hyp)
Here




The base can be found using the sin of 30 degrees as this is a 30-60-90 right triangle.



The area of the triangle in the picture is given by

.
The base of the pyramid is a hexagon which can be divided into 6 triangles each of which is double the area of the one we just found. So the area of the base = 2(area of the triangle we found)(6) =
Answer:
-$500
Step-by-step explanation:
The expected value of a payment from the policy is ...
$500,000 × 0.002 = $1000
Since the business pays $1500 for the policy, the expected value to the business is ...
$1000 - 1500 = -$500 . . . per year
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Of course, the expected value to the insurance company is $500 per year.
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We have computed on the basis of 1 claim per year. If we consider the possibility of multiple independent claims, then the expected payment from the insurance goes up by a factor of 1/(1 -0.002) ≈ 1.002004008016.... This has the effect of increasing the expected value by $2.00 per year to -$498.
A) the standard of error would be that all the apartment costs would have a plus/minus of $80 so therefore the data received would be inaccurate.
0.666... is equal to 2/3 and 0.75 is equal to 3/4. 2/3 x 3/4= 6/12 which simplifies to 1/2 or 0.5.
To divide, multiply the first number by the reciprocal of the second, so 2/3 x 4/3 = 8/9.

Answer: The sequence 3, 12, 26, ... is not a geometric sequence.