Answer:
Probability is 0.831727
Step-by-step explanation:
The probability can be calculated as below
There are multiple scenarios
Scanerio 1
0 occurance & No damage = 1 - 0.2 - 0.03 - 0.001 = 0.769
Scanerio 2
1 occurance & No damage = 0.2 x ( 1 - 0.7 ) = 0.06
Scanerio 3
2 occurance & No damage = 0.03 x ( 1 - 0.7 )^2 = 0.0027
Scanerio 4
3 occurance & No damage = 0.001 x ( 1 - 0.7 )^3 = 0.000027
P(structure will not suffer any damage) = Scanerio 1 + Scanerio 2 + Scanerio 3 + Scanerio 4 = 0.769 + 0.06 + 0.0027 + 0.000027 = 0.831727
Answers:
Center = (0, 10)
Radius = 4
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Work Shown:
Rewrite the equation into
(x - 0)^2 + (y - 10)^2 = 4^2
Then note how it is in the form
(x - h)^2 + (y - k)^2 = r^2
We see that the center is (h,k) = (0,10) and the radius is r = 4.
Answer:
$22,263
Step-by-step explanation:
15% of $74,210 is $11,131.50 so $11,131.50 X 2= $22,263
so after 2 years the total amount of money along with interest will be a total of = $96,473
Answer:
m of angle s is 32
Step-by-step explanation:
Answer:
AC
Step-by-step explanation:
First, let's find m∠B and m∠C by solving for x. Since the sum of interior angles in a triangle is 180°, we know that:
60 + 3x - 2 + 2x + 7 = 180
5x + 65 = 180
5x = 115
x = 23° so m∠B = 3(23) - 2 = 67° and m∠C = 2(23) + 7 = 53°. The longest side of a triangle is always opposite to the largest angle of the triangle, and since m∠B is the largest, we know that the side opposite to ∠B is the longest. That side is AC.
