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Answer:
A) 16
Step-by-step explanation:
The ratio of long-side to short-side is the same for all of these similar triangles, so we have ...
e/8 = 8/4
e = 8(8/4) = 8(2) = 16
The value of e is 16.
The expected value for the person buying the insurance is -25.
<h3>How the expected value is calculated?</h3>
The expected value is the average gain or loss of an event if the event is repeated a number of times.
Expected value = ∑xP(x)
<h3>Calculation:</h3>
It is given that,
The probability of a 47-year-old woman passing away during the coming year is 0.179% = 0.00179
The death benefit = $100,000 - $204 = $99,796
The loss from living = -204
Then the expected value = 99796(0.00179) + (-204)(0.99821) = -25
Therefore, the expected value for the person buying the insurance is -25.
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Answer: D
Explanation:
Point slope form:
(y - y1) = m(x - x1)
Coordinate given = (2,-6)
Slope = 3/5
Thus:
(y -(-6)) = 3/5(x - 2)
y + 6 = 3/5(x - 2)
The distance around the perimeter would be 120 ft.
<h3 /><h3>What is perimeter?</h3>
Perimeter is the distance around the edge of a shape.
The complete question is
A garden is designed in the shape of a rhombus formed from 4 identical 30°-60°-90° triangles. The shorter distance across the middle of the garden measures 30 feet.
A rhombus is shown. Lines are drawn from each point to the opposite point to form 4 right triangles. The other 2 angle measures are 30 and 60 degrees. The base length of each triangle is 15 feet.
What is the distance around the perimeter of the garden?
let AE is the half of the diagonal AC.
AC = 30 ft.
So, AE = ½ * 30
AE = 15 ft
Now, using trigonometry
sin 30 = 15/AD
0.5= 15/AD
AD= 30 ft
Hence, distance around the perimeter would be: AD+AD+AD+AD=
=30 ft + 30 ft + 30 ft + 30 ft
= 120 ft.
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Answer:
They should protect itself because they would be in alot of trouble
Step-by-step explanation:
