3 years ago

Round 6,261 to the nearest hundred

Mathematics

1 answer:

postnew [5]3 years ago

6 0

Answer:

6300

Step-by-step explanation:

6261 to the nearest 100 -----261 would round up to 300 =6300

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Complete solution with calculation is given in the pictures attached.

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4 years ago

Which expression has a value of 18?

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4 years ago

What is the equivalent factored form of 12x4 – 42x3 – 90x2?

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4 years ago

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Express the number 24 as the product of its prime number

igor_vitrenko [27]

Answer:

Prime factors of 24 = 2*2*2*3.

Step-by-step explanation:

24 / 2 = 12

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3 years ago

A company has 2 machines that manufacture widgets. An older machine manufactures 25% defective widgets, while the new machine ma

Bingel [31]

Answer:

73.90%

Step-by-step explanation:

Let Event D=Defective, D' = Non Defective

Let Event N=New Machine, N' = Old Machine

From the given information:

$P(D|N')=0.25\\P(D|N)=0.09\\P(N)=0.7\\P(N')=0.3$

We are required to calculate the probability that a widget was manufactured by the new machine given that it is non defective.

i.e. $P(N|D')$

$P(D'|N')=1-P(D|N')=1-0.25=0.75\\P(D'|N)=1-P(D|N)=1-0.09=0.91$

Using Baye's Law of conditional Probability

$P(N|D')=\dfrac{P(D'|N)P(N)}{P(D'|N)P(N)+P(D'|N')P(N')} \\=\dfrac{0.91*0.7}{0.91*0.7+0.75*0.3}\\ =0.73897\\\approx 0.7390$

Therefore given that a selected widget is non-defective, the probability that it was manufactured by the new machine is 73.9%.

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3 years ago