Question 2-4 please
1 answer:
Answer:
Step-by-step explanation:
2) a) You have to find the area of semicircle.
r = d/2 = 12/2 = 6 mm
Area of semicircle =
b) r = 10 cm
Area of quadrant =
3) d = 10 m
r = d/2 = 10/2 = 5 m
Area of circular garden = πr²
= 3.14 * 5 * 5
= 78.5 m²
Area of rectangular pool = 8 * 6 = 48 m²
Area of the garden covered in grass = area of the circular garden - area of pool
= 78.5 - 48
= 30.5 m²
4) a) r = 60 cm
Area of the top of the circular table = πr²
= 3.14 * 60 * 60
= 11304 cm²
diameter of base = 30 cm
r = 30/2 = 15 cm
Area of circular base = 3.14 * 15 * 15
= 706.5 cm²
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Answer:
The probability that the customer is charged incorrectly on at most 2 items is 3.979 × 10⁻².
Step-by-step explanation:
To solve the question, we note that we proceed with the binomial distribution formula as follows
Number of times the customer is incorrectly charged out of ever 10 items = 4
Therefore, the probability that the customer is incorrectly charged is 4/10 = 0.4
That is p(incorrect) = 0.4
Then the probability that the customer is charged incorrectly on at most 2 items is
P(x≤2) = P(x=0) + P(x=1) + P(x=2)
= ₙC ×
×
=
P(x=0) = ₁₄C₀ ×0.4⁰× 0.6¹⁴ = 7.836 × 10⁻⁴
P(x=1) = ₁₄C₁ ×0.4¹× 0.6¹³ = 7.314 × 10⁻³
P(x=2) = ₁₄C₂ ×0.4²× 0.6¹² = 3.169 × 10⁻²
∴ P(x≤2) = 7.836 × 10⁻⁴ + 7.314 × 10⁻³ + 3.169 × 10⁻² = 3.979 × 10⁻²
P(x≤2) = 3.979 × 10⁻².