Answer:
1 3/5
Step-by-step explanation:
brainliest pleaseeee
8n-28
4(2n-7)
you cant factor this. There are no powers
Answer:
Expected number of guests is 100.4.
Step-by-step explanation:
It is given that there are 161 guest if there is a heavy snow fall.
Also, the probability for a heavy snow fall is 0.40.
Therefore, P(X = 161) =0.4.
It is also given that there are 60 guests if there is a light snow fall.
The probability for a light snow fall is 1 - 0.4 = 0.6.
Therefore, P(X = 60) = 0.6.
Expected number of guests = (161)P(X = 161) + (60)P(X = 60)
= 161(0.4) + 60(0.6)
= 64.4 + 36
= 100.4
4/5 if you are reducing it. If you are dividing it, it is 1.25
Answer:
50π ≈ 157.08 cubic units
Step-by-step explanation:
The volume of revolution of a plane figure is the product of the area of the figure and the length of the path of revolution of the centroid of that area. The centroid of a triangle is 1/3 the distance from each side to the opposite vertex. (It is the intersection of medians.)
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<h3>length of centroid path</h3>
One side of this triangle is the axis of revolution. Then the radius to the centroid is 1/3 the x-dimension of the triangle, so is 5/3. Then the circumference of the circle along which the centroid is revolved is ...
C = 2πr
C = 2π(5/3) = 10π/3 . . . units
<h3>triangle area</h3>
The area of the triangle is found using the formula ...
A = 1/2bh
A = 1/2(5)(6) = 15 . . . square units
<h3>volume</h3>
The volume is the product of the area and the path length:
V = AC
V = (15)(10π/3) = 50π . . . cubic units
The volume of the solid is 50π ≈ 157.08 cubic units.
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<em>Additional comment</em>
In the attached figure, the point labeled D is the centroid of the triangle. The label has no significance other than being the next after A, B, C were used to label the vertices.
The volume of revolution can also be found using integration and "shell" or "disc" differential volumes. The result is the same.