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4 years ago

The least number which is divisible by 12 40 75

1 answer:

5 0

Therefore 9600 is the greatest four digit number divisible by given numbers. Then, if we add 600 to 9600 then we can get least five digit number exactly divisible by given numbers. Hence 10209 is the least five digit number when divided by 12,40 and 75 leaves remainder 9.

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3 years ago

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2 years ago

Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimeters,

tiny-mole [99]

Answer:

Probability that the sample mean would be greater than 141.4 millimetres is 0.3594.

Step-by-step explanation:

We are given that Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimetres, and a standard deviation of 7.

A random sample of 39 steel bolts is selected.

Let $\bar X$ = sample mean diameter

The z score probability distribution for sample mean is given by;

Z = $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } } }$ ~ N(0,1)

where, $\mu$ = population mean diameter = 141 millimetres

$\sigma$ = standard deviation = 7 millimetres

n = sample of steel bolts = 39

Now, Percentage the sample mean would be greater than 141.4 millimetres is given by = P( $\bar X$ > 141.4 millimetres)

P( $\bar X$ > 141.4) = P( $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } } }$ > $\frac{141.4-141}{\frac{7}{\sqrt{39} } } }$ ) = P(Z > 0.36) = 1 - P(Z $\leq$ 0.36)

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The above probability is calculated by looking at the value of x = 0.36 in the z table which has an area of 0.6406.

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4 years ago

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Answer:b

Step-by-step explanation:

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4 years ago

The least number which is divisible by 12 40 75​

The least number which is divisible by 12 40 75