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Galina-37 [17]
3 years ago
11

Write 5,400,300 in standard form - help!

Mathematics
2 answers:
Ainat [17]3 years ago
7 0

Hello,


This number is already in stranded form.

If you want it in scientific notation its : 5.4003*10^6

Hope this helps a bit.


Valentin [98]3 years ago
4 0

Answer:

5.4x10^{6}

Step-by-step explanation:

The standard form refers to the way of writing large numbers in a smaller expression using power of 10, this is also called scientific notation.

To write this number in standard form, we have to the decimal point to the position between the 5 and the 4, and all spaces jumped represent the exponent of the 10 power, as follows

5400300=5.4x10^{6}

Therefore, the standard form would be

5.4x10^{6}

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3 years ago
"the life length x (in years) of a dvd player" is exponentially distributed with mean 5 years. what is the probability that a mo
loris [4]
The exponential distribution is:
\lambda e^{- \lambda x}
where \lambda = \frac{1}{mean}=\frac{1}{5}

The probability we want is how likely will a dvd player last more than 8 years, given it has already lasted 5 years
To find this, you use conditional probability.
P(A|B) = \frac{P(A and B)}{P(B)}
where A is P(x>8) and B is P(x>5)
To find these probabilities, integrate over the distribution:
P(x \ \textgreater \ N) = \int_N^{\infty} \frac{1}{5} e^{-x/5} dx = e^{-N/5}

Sub into conditional probability formula:

P(x \ \textgreater \ 8 | x\ \textgreater \ 5) = \frac{P(x\ \textgreater \ 8)}{P(x\ \textgreater \ 5)} = \frac{e^{-8/5}}{e^{-5/5}} = e^{-3/5} = 0.549

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