37+y=87
y=87-37
y=50
............................
Answer: a) 0.996, b) 0.253, c) 0.02.
Step-by-step explanation:
Since we have given that
Probability of success = Probability of the math majors belong to ethnic minorities = 33% = 0.33 =p
Probability of failure = q = 1-0.33 = 0.67
Number of students selected = 7
a) No more than 5 belong to an ethnic minority
So, using "binomial distribution", we get that
b. Exactly three of them belong to an ethnic minority
So, it becomes,
c. None of them belong to an ethnic minority
Hence, a) 0.996, b) 0.253, c) 0.02.
The surface area of the composite figure is 144 square cm after calculating separately.
<h3>What is a triangular prism?</h3>
When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is the name given to this novel 3D object.
We have a composite figure made up of a triangular prism and a cuboid
First we calculate the surface area of the triangular prism:
= 2(area of one triangle) + area of three rectangles
= 2[(1/2)6×4] + 3×5 + 3×5
= 24 + 15 + 15
= 54 square cm
Surface area of rectangle(with three faces) = 2(4×3 + 4×6) + 3×6
= 2(12 + 24) + 18
= 72 + 18 = 90 square cm
Total surface area of figure = 54+ 90 = 144 square cm
Thus, the surface area of the composite figure is 144 square cm after calculating separately.
Learn more about triangular prisms here:
brainly.com/question/16909441
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It would the answer C choice
Answer:
(A)
Step-by-step explanation:
Given: BLUE is a quadrilateral.
To prove: Quadrilateral BLUE is a parallelogram.
Proof: By the definition of parallelogram, the opposite sides of the parallelogram are equal and parallel.Thus, we have to prove that the opposite sides of quadrilateral BLUE are equal and parallel.
Now, (BL and EU) and (BE and LU) are the opposite sides of the parallelogram BLUE, thus all we need is to prove that BL║EU ..
Therefore, Option A is correct.
