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4 years ago

What is 27/50 as a decimal? Please explain

2 answers:

3 0

27/50 as a decimal is 0.54, by finding the solution this is a method that I have used I first multiply 50, the denominator by 2 and 27 by 2 in the top which is 54/100 to convert the fraction 54/100 you notice that the the second place holder after the decimals is the hundredths you would have to place the 5 in the first placeholder then the 4 in the place holder. 27 *2= 54 50*2=100 54/100 Decimal form: 0.54

muminat4 years ago

3 0

To turn 27/50 into a decimal you would divide 27/50, but first you can check and see if the fraction can be simplified just to make dividing the fraction easier.

Since 50 can not be divied by 3 or 9 ( two factors of 27) you just divide 27 by 50 and you get .54

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The time needed to complete a final examination in a particular college course is normallydistributed with a mean of 80 minutes

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Answer:

a) 0.023

b) 0.286

c) 10 students will be unable to complete the exam inthe allotted time.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 80 minutes

Standard Deviation, σ = 10 minutes

We are given that the distribution of time to complete an exam is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(completing the exam in one hour or less)

P(x < 60)

$P( x < 60) = P( z < \displaystyle\frac{60 - 80}{10}) = P(z < -2)$

Calculation the value from standard normal z table, we have,

$P(x < 60) =0.023= 2.3\%$

b) P(complete the exam in more than 60 minutes but less than 75 minutes)

$P(60 \leq x \leq 75) = P(\displaystyle\frac{60 - 80}{10} \leq z \leq \displaystyle\frac{75-80}{10}) = P(-2 \leq z \leq -0.5)\\\\= P(z \leq -0.5) - P(z < -2)\\= 0.309- 0.023 = 0.286= 28.6\%$

c) P(completing the exam in more than 90 minutes)

P(x > 90)

$P( x > 90) = P( z > \displaystyle\frac{90 -80}{10}) = P(z > 1)$

$= 1 - P(z \leq 1)$

Calculation the value from standard normal z table, we have,

$P(x > 90) = 1 - 0.8413 = 0.1587 = 15.87\%$

15.87% of children of class will require more than 90 minutes to complete the test.

Number of children =

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Approximately, 10 students of class will require more than 90 minutes to complete the test.

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How many bucketloads would it take to bucket out the world’s oceans? Write your answer in scientific notation.

kodGreya [7K]

Answer: $7\times10^{19} buckets$

Step-by-step explanation:

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