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3 years ago

10

the population of a southern city follows the exponential law. If the population doubled in size over an 18 month period and the

current population in 10000, what will be the population 2 years from now?

1 answer:

Elza [17]3 years ago

5 0

Answer:

nzjjxkzjxkxnxkkxxkxbzkzhzzjskzjzjxjknxkxk

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The long-distance calls made by the employees of a company are normally distributed with a mean of 6.3 minutes and a standard de

Sergio [31]

To solve this problem, we use the formula:

z = (x – u) / s

where z is the z score value which can be obtained from the tables, x is the sample value, u is the mean = 6.3 min, and s is the std dev = 2.2 min

at P value = 0.90, the z = 1.28, finding for x:

x = z s + u

x = 1.28 * 2.2 + 6.3

x = 9.116

at P value = 1.0, the z = 3.49, finding for x:

x = z s + u

x = 3.49 * 2.2 + 6.3

x = 13.978 ~ 14

Therefore the longest 10% calls last about 9.1 minutes to 14 minutes

3 0

4 years ago

Clare wants to mail a package that weighs 4 1/2 ponds what could be its volume in liters

Sati [7]

Answer:

The volume in liters is 2.041165665 liter.

Step-by-step explanation:

Given : Clare wants to mail a package that weighs $4\frac{1}{2}$ pounds.

To find : What could be its volume in liters ?

Solution :

We know that,

Pound (lb) is a unit of Weight used in Standard system.

Liter (l) is a unit of Volume used in Metric system.

To convert 1 pound into liter is

1 pound (lb) = 0.45359237 liter (l)

$4\frac{1}{2}$ pounds in simpler fraction is $\frac{9}{2}$

Converting into liter,

$\frac{9}{2}$ pound (lb)= $\frac{9}{2}\times 0.45359237$ liter (l)

$\frac{9}{2}$ pound (lb) = 2.041165665 liter (l).

Therefore, the volume in liters is 2.041165665 liter.

7 0

4 years ago

Finding which number supports the idea that the rational numbers are dense in the real numbers.

aivan3 [116]

Answer:A terminating decimal between -3.14 and -3.15.

Step-by-step explanation:

A natural number includes non-negative numbers like 5, 203, and 18476.

It is encapsulated by integers, which include negative numbers like -29, -4, and -198.

Integers are further encapsulated by rational numbers, which includes terminating decimals like 3.14, 1.495, and 9.47283.

By showing a terminating decimal between -3.14 and -3.15, you are showing that rational numbers include integers (because integers include negative numbers.

8 0

3 years ago

How many people are between the ages of 20 and 49?

oksian1 [2.3K]

Just add the numbers of the groups 20-34 years and 35-49 years

4 0

3 years ago

Find the volume of the following solid. The solid between the cylinder f(x,y)equals=e Superscript negative xe−x and the region

PilotLPTM [1.2K]

It is hard to comprehend your question. As far as I understand:

f(x,y) = e^(-x)

Find the volume over region R = {(x,y): 0<=x<=ln(6), -6<=y <= 6}.

That is all I understood. It would be easier to understand with a picture or some kind of visual aid.

Anyways, to find the volume between the surface and your rectangular region R, we must evaluate a double integral of f on the region R.

$\iint_{R}^{ } e^{-x}dA=\int_{-6}^{6} \int_{0}^{ln(6)} e^{-x}dx dy$

Now evaluate,

$\int_{0}^{ln(6)}e^{-x}dx$

which evaluates to, 5/6 if I did the math correct. Correct me if I am wrong.

Now integrate this w.r.t. y:

$\int_{-6}^{6}\frac{5}{6}dy = 10$

So,

$\iint_{R}^{ } e^{-x}dA=\int_{-6}^{6} \int_{0}^{ln(6)} e^{-x}dx dy = 10$

7 0

3 years ago