In science class, Sara needed 8 test tubes for 3 different experiments. The first experiment required 2 test tubes and the other
1 answer:
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Answer:
The probability that an Audi A8 car with 2.4L engine is selected given that the car failed emissions test taken within four years of purchase is 0.3589.
Step-by-step explanation:
Let's denote event as follows:
<em>A</em> = an Audi A8 car has a 2.0L engine.
<em>B</em> = an Audi A8 car has a 2.4L engine.
<em>C</em> = an Audi A8 car has a 2.8L engine.
<em>X</em> = an Audi A8 car failed emissions test taken within four years of purchase.
The information provided is:
The probability that an Audi A8 car with 2.4L engine is selected given that the car failed emissions test taken within four years of purchase is:
Compute the probability of an Audi A*8 car failed emissions test taken within four years of purchase as follows:
Compute the value of P (B|X) as follows:
Thus, the probability that an Audi A8 car with 2.4L engine is selected given that the car failed emissions test taken within four years of purchase is 0.3589.
Answer:
Step-by-step explanation:
The surface area of right triangular prism is the sum of area of two base triangles and 3 area of side rectangles.
The area of base triangle is
where a is the length of the side of equilateral triangle. In your case, a=6 inches. Thus,
The area of side rectangle is
where h is the height of the rectangle. In your case, h=10 inches. Thus,
Hence, the surface area is
Answer:
Therefore the solution is = k{-7,5,1} where k ∈R
Step-by-step explanation:
Given that,
f₁(x) =x
f₂(x)= x²
f₃(x)= 7x - 5x²
Also,
g(x) = c₁f₁(x)+c₂f₂(x)+c₃f₃(x)
Putting the values of f₁(x), f₂(x) and f₃(x).
g(x) = c₁.x+c₂x²+c₃(7x-5x²)
Given condition that g(x)= 0
∴ c₁.x+c₂x²+c₃(7x-5x²)=0
⇒(c₁+7c₃)x +(c₂-5c₃)x² = 0
Comparing the coefficients of x and x²
∴c₁+7c₃=0 and c₂-5c₃ =0
Let c₃= k [k∈R]
Then c₁ = -7k and c₂=5k
Therefore the solution is = { c₁,c₂,c₃}
= {-7k, 5k, k}
=k{-7,5,1}