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2 years ago

half of an integer exceeds one _ third of the next integer by unity .Find the integer. please ask fast

Mathematics

1 answer:

gulaghasi [49]2 years ago

6 0

9514 1404 393

Answer:

Step-by-step explanation:

If the integer is n, half of it is n/2. The next integer is (n+1) and 1/3 of it is (n+1)/3. You want ...

n/2 - (n+1)/3 = 1

n(1/2 -1/3) -1/3 = 1

n/6 = 4/3 . . . . . . . . add 1/3, simplify

n = 6(4/3) = 8

The integer is 8.

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The time that it takes a randomly selected job applicant to perform a certain task has a distribution that can be approximated b

zepelin [54]

Answer:

If the task is performed in less than or equal to 130.8 seconds, then, the individuals qualify for advanced training.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 150 sec

Standard Deviation, σ = 15 sec

We are given that the distribution of time taken is a bell shaped distribution that is a normal distribution.

Formula:

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

We have to find the value of x such that the probability is 0.10

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 150}{15})=0.10$

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

$\displaystyle\frac{x - 150}{15} = -1.282\\x = 130.8$

Thus, if the task is performed in less than or equal to 130.8 seconds, then, the individuals qualify for advanced training.

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3 years ago

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Stella [2.4K]

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2 years ago

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Answer:

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3 years ago

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Read 2 more answers

half of an integer exceeds one _ third of the next integer by unity .Find the integer. please ask fast​

half of an integer exceeds one _ third of the next integer by unity .Find the integer. please ask fast