What is (2.3x10^-3)/(4.6x10^-7) written in scientific notation? Please show how you solved this.

1 answer:

5 0

(2.3*10^-3) / (4.6*10^-7)

(2.3*0.001) / (4.6*0.0000001) *10^-3=0.001 & 10^-7=0.0000001*

(0.0023) / (0.00000046) *2.3*0.001=0.0023 & 4.6*0.0000001=0.00000046*

5000 *0.0023/0.00000046*

So the answer is 5000

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A die is rolled twice. What is the probability of showing a 1 on the first roll and an even number on the second roll?

Ivan

Answer:

1/12

Step-by-step explanation:

Okay, so this will be a compound probability question because there are two parts to the question.

Firstly, a die has 6 sides, and there is only one chance of getting a 1, so the probability would be 1/6.

Furthermore, there are 3 different even numbers on a 6-sided die, so that is 3/6, which can be simplified to 1/2.

Now, because this is a compound probability, we have to multiply 1/2 and 1/6 together, which would give us our answer of 1/12.

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3 years ago

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anzhelika [568]

Printer A prints for 10 minutes, so prints

... (30 pages/minute)×(10 minutes) = 300 pages

Printer B prints for 7 minutes, so prints

... (40 pages/minute)×(7 minutes) = 280 pages

At the end of 10 minutes, the two printers will have printed

... 300 pages + 280 pages = 580 pages

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3 years ago

A water well is to be drilled in the desert where the soil is either rock, clay or sand. The probability of rock P(R)equals=0.

GaryK [48]

The tree diagram for the probability is shown below

P(Clay|Positive) is read 'Probability of Clay given the result is Positive'.

This is a case of conditional probability.

The formula for conditional probability is given as
P(Clay|Positive) = P(Clay∩Positive) ÷ P(Positive)

P(Clay∩Positive) = 0.21×0.48 = 0.1008

P(Positive) = P(Rock∩Positive) + P(Clay∩Positive) + P(Sand∩Positive)
P(Positive) = (0.53×0.53) + (0.21×0.48) + (0.26×0.75)
P(Positive) = 0.2809 + 0.1008 + 0.195
P(Positive) = 0.5767

Hence,
P(Clay|Positive) = 0.1008÷0.5767 = 0.175 (rounded to 3 decimal place)