Answer:
A and B are not independent events because P(A|B)≠P(A)
is the correct answer.
Step-by-step explanation:
If A and B are independent then we must have
P(AB) = P(A) P(B) and also
P(A/B) = P(A)
We are given that
A and B are two events.
Let P(A)=0.5 , P(B)=0.25 , and P(A and B)=0.15 .
P(A/B) = P(AB)/P(B) = 0.15/0.5 = 0.3
i.e. P(A/B) is not equal P(A)
Similarly P(B/A) = P(AB)/P(A) = 0.15/0.25 = 0.6 not equal to P(B)
Hence A and B are not independent.
Question 8:
Steps:
1. Find the area of the 2 triangles at both end.
2. Find the lateral surface area (that is, 3 rectangles)
3. Add them up.
Step 1:
Area of triangle = 1/2 x base x height
Area of 1 triangle = 1/2 x 4 x 5.7 = 11.4 m²
Area of 2 triangles = 11.4 x 2 = 22.8 m²
Step 2:
Area of the lateral surface area = perimeter of the triangle x height
Area of the lateral surface area = (4 + 7 + 5.7) x 8.6 = 143.62 m²
Step 3:
Total surface area = 22.8 + 143.62 = 166.4 m² (nearest tenth)
Answer: 166.4 m²
Question 9:
Steps:
1. Find the area of the square base.
2. Find the area of the 4 triangles.
3. Add them up.
Step 1:
Area of the square = 8 x 8 = 64 cm²
Step 2:
Area of 1 triangle = 1/2 x 8 x 15.3 = 61.2 cm²
Area of 4 triangles = 61.2 x 4 = 244.8 cm²
Step 3:
64 + 244.8 = 308.8 cm²
Answer: 308.8 cm²
Question 10:
Volume = Length x Width x Height
Volume = 1 1/2 x 2 1/2 x 8 = 30 ft³
Answer: 30 ft³
Answer:
1008
Step-by-step explanation:
geometric sequence:
a=16
r=32/16=2
Sum of GS:
s=a(1-r^n)/(1-r)
S(6)=16(1-2^6)/(1-2)
=1008
Answer:
the answer is 10
Step-by-step explanation:
(8+4+14+16+8)/5
