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Mamont248 [21]
2 years ago
9

Tyler is building a fish tank in the shape of a sphere that has a diameter of 14 inches. Based on Tyler's research, it is recomm

ended to have no more than 1 goldfish for every 693 cubic inches of water. How many goldfish should Tyler buy for his fish tank?
Mathematics
2 answers:
crimeas [40]2 years ago
6 0

Answer:

Tyler should buy 2 goldfishes for his fish tank

Step-by-step explanation:

I took the test and got it correct.

Charra [1.4K]2 years ago
3 0

Answer:

Tyler should buy 2 goldfishes for his fish tank,

Step-by-step explanation:

First let's find the volume of the sphere, using the following equation:

Volume = (4/3) * \pi * radius^3

The radius is half the diameter, so the radius is 14/2 = 7 inches

Now, finding the volume, we have:

Volume = (4/3) * \pi * 7^3

Volume = 1436.75\ in^3

Now, we know that we need to have 1 goldfish for every 693 in3 of water, so to find the number of goldfishes, we just need to divide the volume of the sphere by 693 (and round down the result if needed):

Number\ of\ goldfishes = 1436.75 / 693 = 2.07 = 2\ goldfishes

Tyler should buy 2 goldfishes for his fish tank,

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The Venn diagram shows the information about a stamp collection. f = 100 stamps in the collection A = stamps in the 20th century
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The probability that it is British is 0.6164 if the Venn diagram shows the information about a stamp collection. f = 100 stamps in the collection A = stamps in the 20th century B = British stamps A B. X(X - 6) х 2x + 32 28 A stamp is chosen at random.

<h3>What is the Venn diagram?</h3>

It is defined as the diagram that shows a logical relation between sets.

The Venn diagram consists of circles to show the logical relation.

We have:

f = 100 stamps in the collection

A = stamps in the 20th century

B = British stamps

We can make a linear equation to solve for x as the total stamps are 100 in the collection.

\rm x(x-6)+x+2x+32= 100\\\\\rm x^2-6x+x+2x+32 = 100\\\\\rm x^2-3x-68 = 0

After solving x = 9.88, or x = -6.88

Probability can't be negative so neglecting the negative ones

x = 9.88

The probability that it is British:

=\rm \frac{x +2x + 32}{100}  

=\rm \frac{9.88 +2(9.88) + 32}{100}

= 61.64/100

= 0.6164

Thus, the probability that it is British is 0.6164 if the Venn diagram shows the information about a stamp collection. f = 100 stamps in the collection A = stamps in the 20th century B = British stamps A B. X(X - 6) х 2x + 32 28 A stamp is chosen at random.

Learn more about the Venn diagram here:

brainly.com/question/1024798

#SPJ1

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