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igor_vitrenko [27]
2 years ago
12

The hands of a clock form a 150° angle. What time would it be?

Mathematics
2 answers:
forsale [732]2 years ago
7 0

Answer: For every turn minute hand moves, hour hand moves too, only 12 times slower. In this case hour hand has moved 6 * 15 / 12 = 7.5 degrees. From 3 to 8 we have 5 hours = 150 degrees. And from 8 to 8:15 we have 7.5, so answer is 157.5 degrees.

eimsori [14]2 years ago
6 0

Answer: I would say 10:15.

Step-by-step explanation: Look at the 150° angle and the clock. You can see that it shows 10:15 if you were to put the 150° angle on the clock.

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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

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= 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.

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