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3 years ago

9

the Georgia aquarium in Atlanta is about 2.6310^3 inches long, 1.2610^2 inches wide, and 3*10^1 inches deep at it's largest po

int. Find it's approximate volume.

1 answer:

emmainna [20.7K]3 years ago

3 0

Answer:

$9.9414*10^{6}\ cubic\ inches\\$

Step-by-step explanation:

Hello, I can help you with this ,

assuming the aquarium has a normal shape

The volume can be calculated with:

Volume= length*width*depth

Step one

according to the information in the question

$length\ =2.63*10^{3}\ inches \\width\ =1.26*10^{2}\ inches \\depth\ =3*10^{1}\ inches\\$

put the values into the equation

$Volumen=2.63*10^{3}\ inches *1.26*10^{2}\ inches *3*10^{1}\ inches$

combine similar terms

$Volumen=2.63*10^{3}\ inches *1.26*10^{2}\ inches *3*10^{1}\ inches\\Volume=(2.63*1.26*3)(10^{3}*10^{2}*10^{1})(inches *inches *inches )\\Volume=(9.9414)(10^{3+2+1})in^{3} \\Volume=(9.9414)(10^{6})in^{3}$

Have a good day.

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Salsk061 [2.6K]

Answer:

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Step-by-step explanation:

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3 years ago

An apartment complex rents an average of 2.3 new units per week. If the number of apartment rented each week Poisson distributed

masya89 [10]

Answer:

$P(X\leq 1) = 0.331$

Step-by-step explanation:

Given

Poisson Distribution;

Average rent in a week = 2.3

Required

Determine the probability of renting no more than 1 apartment

A Poisson distribution is given as;

$P(X = x) = \frac{y^xe^{-y}}{x!}$

Where y represents λ (average)

y = 2.3

<em>Probability of renting no more than 1 apartment = Probability of renting no apartment + Probability of renting 1 apartment</em>

<em />

Using probability notations;

$P(X\leq 1) = P(X=0) + P(X =1)$

Solving for P(X = 0) [substitute 0 for x and 2.3 for y]

$P(X = 0) = \frac{2.3^0 * e^{-2.3}}{0!}$

$P(X = 0) = \frac{1 * e^{-2.3}}{1}$

$P(X = 0) = e^{-2.3}$

$P(X = 0) = 0.10025884372$

Solving for P(X = 1) [substitute 1 for x and 2.3 for y]

$P(X = 1) = \frac{2.3^1 * e^{-2.3}}{1!}$

$P(X = 1) = \frac{2.3 * e^{-2.3}}{1}$

$P(X = 1) =2.3 * e^{-2.3}$

$P(X = 1) = 2.3 * 0.10025884372$

$P(X = 1) = 0.23059534055$

$P(X\leq 1) = P(X=0) + P(X =1)$

$P(X\leq 1) = 0.10025884372 + 0.23059534055$

$P(X\leq 1) = 0.33085418427$

$P(X\leq 1) = 0.331$

Hence, the required probability is 0.331

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3 years ago

Which set of rational numbers is arranged from least to greatest? 1 over 5, −1.4, negative 1 over 2, 3 3, negative 1 over 2, −1.

Mars2501 [29]

Answer:

Option 4 - $-1.4,\ -\frac{1}{2},\ \frac{1}{5},\ 3$

Step-by-step explanation:

To find : Which set of rational numbers is arranged from least to greatest?

Solution :

The set of rational numbers are

$3,\ \frac{1}{5},\ -1.4,\ -\frac{1}{2}$

Writing all number in one form,

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Now, -1.4<-0.5<0.2<3

From least to greatest the set of natural numbers are

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