First, find the area of the larger sector (the 360-130=230 degree sector), then add the area of the triangle.
area of the larger sector:(230/360)π*11.1²≈247.17
area of the triangle when two sides and the angle between the two sides are given: (absinФ)/2. In this case, a=11.1, b=11.1, Ф=130
(11.1*11.1*sin130)/2≈47.19
the total area is 247.17+47.19≈294.4
Please use your calculator to double check my numbers.
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Add sides 5


Subtract sides 2x


Divide sides by 4


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CHECK :



Thus the solution is correct....
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Answer:
P(A) = 3/20
Step-by-step explanation:
P(A)=P(blue)P(head)=(3/10)(1/2)=3/20
as there are 10 cards in total, out of which 3 are blue so the probability to get the blue card is, P(blue) = 3/10. and the probability of getting a head when a coin is tossed is P(head) = 1/2.
So in total
P(A) = P(blue)*p(head) = (3/10)*(1/2) = 3/20 = 0.15
You have to divide 4.86 by 18 and that gives you.........
Answer:
3 standard deviations
from the mean is 6 pounds to 18 pounds.
Step-by-step explanation:
The above question is solved using empirical rule
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ
From the above question
μ = 12 pounds
σ = 2 pounds
Hence:.
3 standard deviations from the mean is calculated as
μ - 3σ
[12 - 3(2)] pounds
=( 12 - 6) pounds
= 6 pounds
μ + 3σ
[12 + 3(2)] pounds
=( 12 + 6) pounds
= 18 pounds
Hence,3 standard deviations
from the mean is 6 pounds to 18 pounds.
on: