Answer:
C = 62.8 m
Step-by-step explanation:
The circumference formula is C = πd.
Here d = 20 m. Therefore, the circumference of this circle is C = (20 m)π.
To the nearest 10th, we round off C = (20 m)(3.14159) = C = 62.8 m
Answer:
34
8
Step-by-step explanation:
<u>1/2bc - 6ac + 2ab</u>
(1/2)(-1)(-3) - (6)(2)(-3) + (2)(2)(-1)
(1/2)(4) - (-36) + (-4)
2 + 36 - 4
34
<u>1/4(ac)² + 1/6ac</u>
(1/4)[(2)(-3)]² + (1/6)(2)(-3)
(1/4)(-6)² + (1/6)(-6)
(1/4)(36) + (-1)
9 - 1
8
Answer:
a. 11.26 % b. 6.76 %. It appears so since 6.76 % ≠ 15 %
Step-by-step explanation:
a. This is a binomial probability.
Let q = probability of giving out wrong number = 15 % = 0.15
p = probability of not giving out wrong number = 1 - q = 1 - 0.15 = 0.75
For a binomial probability, P(x) = ⁿCₓqˣpⁿ⁻ˣ. With n = 10 and x = 1, the probability of getting a number wrong P(x = 1) = ¹⁰C₁q¹p¹⁰⁻¹
= 10(0.15)(0.75)⁹
= 1.5(0.0751)
= 0.1126
= 11.26 %
b. At most one wrong is P(x ≤ 1) = P(0) + P(1)
= ¹⁰C₀q⁰p¹⁰⁻⁰ + ¹⁰C₁q¹p¹⁰⁻¹
= 1 × 1 × (0.75)¹⁰ + 10(0.15)(0.75)⁹
= 0.0563 + 0.01126
= 0.06756
= 6.756 %
≅ 6.76 %
Since the probability of at most one wrong number i got P(x ≤ 1) = 6.76 % ≠ 15 % the original probability of at most one are not equal, it thus appears that the original probability of 15 % is wrong.
Answer:
You didn't provided the answer choices, but the answer is he scored 22 points in total.
Step-by-step explanation:
