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Sveta_85 [38]
3 years ago
5

What is the 100th term of the arithmetic sequence of 45, 40, 35, 30

Mathematics
1 answer:
Andre45 [30]3 years ago
6 0

Answer:

(n-5)+45

Step-by-step explanation:

where n is the number, you always take away 5 and you add 45 because that is the first number of the sequence

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When studying radioactive material, a nuclear engineer found that over 365 days,
Gnom [1K]

Answer:

a) The mean number of radioactive atoms that decay per day is 81.485.

b) 0% probability that on a given day, 50 radioactive atoms decayed.

Step-by-step explanation:

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\lambda}*\lambda^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\lambda is the mean in the given interval.

a. Find the mean number of radioactive atoms that decayed in a day.

29,742 atoms decayed during 365 days, which means that:

\lambda = \frac{29742}{365} = 81.485

The mean number of radioactive atoms that decay per day is 81.485.

b. Find the probability that on a given day, 50 radioactive atoms decayed.

This is P(X = 50). So

P(X = 50) = \frac{e^{-81.485}*(81.485)^{50}}{(50)!} = 0

0% probability that on a given day, 50 radioactive atoms decayed.

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Shkiper50 [21]

Answer:

I got B or number 2

Step-by-step explanation:

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Which fraction is less than 1 chose all of the correct answer, and explain why you chose and write it down and explain your answ
EleoNora [17]

Answer:

(3/4) and (2/3).

Step-by-step explanation:

For a fraction of the form (p / q), the number in front of the division (p) is the numerator. The number after the division (q) is the denominator.

\begin{aligned} \frac{p}{q} \quad \genfrac{}{}{0}{}{(\text{numerator})}{(\text{denominator})}\end{aligned}.

A positive fraction (p/q) (p,\, q > 0) is less than 1 as long as the numerator p is smaller than the denominator q (that is, p < q.) The reason is that as long as p,\, q > 0:

\begin{aligned} & \frac{p}{q} < 1 \\ \iff & (q)\, \left(\frac{p}{q}\right) < (q)\, (1) && (\text{given that $q > 0$}) \\ \iff & p < q\end{aligned}.

For example, in the fraction (2/3), 2 is the numerator while 3 is the denominator. Both the numerator and the denominator are positive, while the numerator 2\! is smaller than the denominator 3\!. Therefore, (2/3) would be less than 1.

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1 year ago
Whats 8 5/7 plus 5 13/14 ASAP
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14.6428 in decimal , in fraction 14 16/25
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