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Mathematics

1 answer:

Alex17521 [72]2 years ago

6 0

Answer:

0.77 and 0.06

Step-by-step explanation:

Relative frequency basically means the probability that a random student does it. In the first question's case, there are 42 + 22 = 64 students who drive or ride the bus to school that are juniors, and the total number of juniors is 83, yielding 64 ÷ 83, which is about 0.77.

Repeating the same process, there are 11 seniors who walk to school out of a total number of 182 students. Therefore, 11 ÷ 182 gives us approximately 0.06

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The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain after 1000 years?

adell [148]

Answer: 129.33 g

Step-by-step explanation:

$$$Let $p=A \cdot e^{n t}$ \\$(p=$ present amount, $A=$ initial amount, $n=$ decay rate, $t=$ time)$

$\begin{aligned}&\Rightarrow \text { Given } p=\frac{A}{2} \ a t \ t=1590 \\&\Rightarrow \frac{1}{2}=e^{1590n} \Rightarrow n=\frac{\ln (1 / 2)}{1590}=-0.00043594162\end{aligned}$

$If $A=200 \mathrm{mg}$ and $t=1000$ then,$$\begin{aligned}P &=200 e^{\left(\frac{\ln \left(1/2\right)}{1590}\right) \cdot 1000} \text \\\\&=129.33 \text { grams}\end{aligned}$