Determine whether the sequence converges or diverges. If it converges, give the limit.

1 answer:

3 0

This is a geometric progression, with ratio $\frac{1}{6}$ . The terms will get smaller and smaller, but will remain strictly positive. It does converge to 0.

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A solution for direct IV bolus injection contains 125 mg of drug in each 25 mL of injection. What is the concentration of drug i

Burka [1]

Answer:

The concentration of the drug is 5ug/uL

Step-by-step explanation:

The first step of the problem is the conversion of the quantities of the drug in mg and mL to ug and uL.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

Unit conversion problems, like this one, is an example of a direct relationship between measures.

First step: Conversion of 125mg to ug

Each mg has 1,000ug. So:

1mg - 1,000ug

125mg - xug

x = 1,000*125

x = 125,000 ug

Second step: Conversion of 25 mL to uL

Each mL has 1,000uL. So:

1mL - 1,000uL

25mL - x uL

x = 25*1,000

x = 25,000uL

Concentration:

$C = \frac{125,000 ug}{25,000uL} = 5ug/uL$

The concentration of the drug is 5ug/uL

3 0

4 years ago

Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees0° and standard deviation of 1.00d

Alex

Answer:

The diagram is attached below.

Step-by-step explanation:

A normal distribution mean 0 and standard deviation 1 is known as the standard normal distribution.

So, the readings on the thermometers (denoted by Z) follows N (0, 1).

It is provided that 2.7% of the thermometers are rejected because they have readings that are too high and 2.7% are rejected because they have readings that are too low.

This implies that:

$P(Zz)=0.027$