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mylen [45]
3 years ago
12

Sophia scored 92% in a math test. If the test had 50 questions, how many did she get right? *

Mathematics
1 answer:
zloy xaker [14]3 years ago
6 0

Answer:

46 questions correct

Step-by-step explanation:

  • 100% = 50 questions
  • 2% = 1 question
  • 92% = 46 questions
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Step-by-step explanation:

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2 years ago
A commuter crosses one of three bridges, A, B, or C, to go home from work. The commuter crosses bridge A with probability 1/3, c
mihalych1998 [28]

Answer:

0.1333 = 13.33% probability that bridge B was used.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Arrives home by 6 pm

Event B: Bridge B used.

Probability of arriving home by 6 pm:

75% of 1/3(Bridge A)

60% of 1/6(Bridge B)

80% of 1/2(Bridge C)

So

P(A) = 0.75*\frac{1}{3} + 0.6*\frac{1}{6} + 0.8*\frac{1}{2} = 0.75

Probability of arriving home by 6 pm using Bridge B:

60% of 1/6. So

P(A \cap B) = 0.6*\frac{1}{6} = 0.1

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P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1}{0.75} = 0.1333

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8 0
3 years ago
An item priced at $10.20 has a sales tax of $0.41.Find the sales tax rate expressed as a percent.
torisob [31]
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Step-by-step explanation:

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