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Alexeev081 [22]
3 years ago
5

Describe the likelihood of the event given its probability? You take the bus home from school 1/4 of the time

Mathematics
1 answer:
Blababa [14]3 years ago
6 0
I don't know if I understand what you're saying but the likelihood of the event is as you already stated... 1/4, or I guess 25% so in other words a one in four chance of taking the bus home.
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. Only 2% of a large population of 100-ohm gold-band resistors have resistances that exceed 105 ohms. a. For samples of size 100
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Using the information given above, the sampling distribution of the sample proportion of 100-ohm gold-band is 2.

  • <em>Sampling distribution of proportion, P = 2% = 0.02 </em>

  • <em>Sample size, n = 100</em>

<u>The sampling distribution of the sample proportion can be calculated thus</u>:

  • <em>Distribution of sample proportion = np</em>

Distribution of sample proportion = (100 × 0.02) = 2

Therefore, there is a probability that only 2 of the samples will have resistances exceeding 105 ohms.

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A motorboat maintained a constant speed of 15 miles per hour related to water going 44 miles upstream then returning the total t
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The speed of the current is 13 mph

<h3>What is speed?</h3>

speed refers to distance travelled per unit time. This is a vector quantity this implies that it has magnitude and direction.

The unit for speed as used here is miles per hour and can be written in short form as mph

<u>Given data</u>

speed of boat = 15 miles per hour = 15 mph

distance = 44 miles upstream

total time for the trip = 7.5 hours

<h3>solving for the speed of the current</h3>

let the water current be x

speed = distance / time

the total travel time upstream and downstream is known

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15 - x = 44 / time

time = 44 / 15 - x

for downstream

15 + x = 44 / time

time = 44 / 15 + x

total time = time for upstream + time for downstream = 7.5

7.5 = (44 / 15 - x ) + ( 44 / 15 + x )

7.5 = ( 44 ( 15 + x ) + 44 ( 15 - x ) ) / ( 15 + x  )( 15 - x )

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7.5 ( 225 - x ^ 2 ) = 420

( 225 - x ^ 2 ) = 56

169 = x ^ 2

x = sqrt ( 169 )

x = 13 miles per hour

hence speed of current is 13 miles per hour

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Step-by-step explanation:

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2 years ago
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