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Novosadov [1.4K]
3 years ago
8

If the figure is translated 4 units and 2 units down what are the coordines

Mathematics
1 answer:
klemol [59]3 years ago
4 0

Answer:

Step-by-step explanation:

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Element X decays radioactively with a half-life of eight minutes. If there are 800 g of element X, how long, to the nearest 10th
Harman [31]

Answer: 41.5 min

Step-by-step explanation:

This problem can be solved with the Radioactive Half Life Formula:  

A=A_{o}.2^{\frac{-t}{h}} (1)

Where:  

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A_{o}=800 g is the initial amount of the radioactive element  

t is the time elapsed  

h=8 min is the half life of the radioactive element  

So, we need to substitute the given values and find t from (1):  

22 g=(800 g) 2^{\frac{-t}{8 min}} (2)  

\frac{22 g}{800 g}=2^{\frac{-t}{8 min}} (3)  

\frac{11}{400}=2^{\frac{-t}{8 min}} (4)  

Applying natural logarithm in both sides:  

ln(\frac{11}{400})=ln(2^{\frac{-t}{8 min}}) (5)  

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7 0
3 years ago
The average commute to work (one way) is 25 minutes according to the 2005 American Community Survey. If we assume that commuting
Stolb23 [73]

Answer:

1. 0.1635

2. 0.0026

Step-by-step explanation:

The computation of the probability in the following cases are as follows:

1.

Given that

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ANd, the standard deviation is 6.1 minutes

So here the z score would be

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= 0.98

Now the probability is

= P(Z>0.98)

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2. the z score would be

= (8 - 25) ÷(6.1)

= -2.79

Now the probability is

= P(Z<-2.79)

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