15•(3 + b) = 45 + b
1 answer:
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Answer:
The correct option is D. 81.8%
Step-by-step explanation:
Mean of the data set is given to be 40
⇒ μ = 40
Standard deviation of the data set is given to be 5
⇒ σ = 5
Now we are supposed to find out what percent of the numbers fall between 35 and 50
Now for P(35 < x < 50) :
Substitute x = 35 ⇒ z = -1
Substitute x = 50 ⇒ z = 2
So, P(-1 < z < 2) = P(z < 2) - P(z < -1)
⇒ P(-1 < z < 2) = 0.9772 - 0.1587
⇒ P(-1 < z < 2) = 0.8185
⇒ P(-1 < z < 2) = 81.8%
Therefore, 81.8% percent of the numbers fall between 35 and 50
Hence, The correct option is D. 81.8%
Given:
A combined figure of a triangular prism and a cuboid.
To find:
The volume of the finished object assuming it is empty inside.
Solution:
From the given figure it is clear that the dimensions of the cuboid are 6 cm, 8 cm and 5 cm.
So, the volume of the cuboid is:
The volume of the cuboid is 240 cubic cm.
The area of a triangle is:
Thus, the base area of the triangular prism whose base is 8 cm and height 4 cm, is:
The volume of a triangular prism is:
Where, B is the base area and h is the height of the prism.
The base area of the triangular prism is 16 square cm and the height is 5 cm. So, the volume of a triangular prism is:
Now, the volume of the given figure is:
Hence, the volume of the finished object is 320 cubic cm.