Answer:
146°
Step-by-step explanation:
Points A and B are the endpoints of an arc of a circle. Chords are drawn from the two endpoints to a third point, C, on the circle. Given m arch AB=64° and ⦣ABC=73°, m ⦣ABC=__ ° and m arch AC=__ °.
Solution:
Given that:
arc AB = 64° and ⦣ABC=73°
The Central Angle Theorem states that the central angle from two chosen points A and B on the circle is always twice the inscribed angle from those two points. The inscribed angle is any point along the outer arc AB and the two points A and B.
Therefore arc AC is the central angle of ⦣ABC. Using the central angle theorem gives:
arc AC = 2 * ⦣ABC
substituting:
arc AC = 2 * 73
arc AC = 146°
Answer: a) P(x=0) = 0.0907, b) P(x≥10) = 0.7986
Step-by-step explanation: the probability mass function of a possion probability distribution is given as
P(x=r) = (e^-λ)×(λ^r) /r!
Where λ = fixed rate at which the event is occurring and each event is independent of each other = 2.4
a) P(x= at least one) = P(x≥1)
P(x≥1) = 1 - P(x<1)
But P(x<1) = P(x=0) { we can not continue to negative values because our values of x can only take positive values of integer}
Hence, P(x≥1) = 1 - P(x=0)
P(x=0) = e^-2.4 * 2.4^0/(0!)
P(x=0) = 0.0907×1/1
P(x=0) = 0.0907
b) if the average number of hits in 1 minutes is 2.4 then for 5 minutes we have 2.4×5 = 12.
Hence λ = 12.
P(x= at least 10) =P(x≥10) = 1 - P(x≤9)
P(x≤9) will be gotten using a cumulative possion probability distribution table whose area is to the left of the distribution.
From the table P(x≤9) = 0.2014.
P(x≥10) = 1 - 0.20140
P(x≥10) = 0.7986
Answer:
x = 9
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
50° is an exterior angle of the triangle, thus
38 + 4x - 24 = 50 , that is
14 + 4x = 50 ( subtract 14 from both sides )
4x = 36 ( divide both sides by 4 )
x = 9
Answer:
7. 28.8722
8. 21.7093
Step-by-step explanation:
458.29 x .063=28.8722
21.7093 x .0775= 21.7093
Answer: The answer is the square root of 5.
Step-by-step explanation:
