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mamaluj [8]
3 years ago
13

The number of tropical fish that an aquarium can hold depends on the volume of the fish tank. the interior dimensions of the fis

h tank are 25 cm, 30 cm, and 39 cm. each fish requires 10,000 cubic centimeters of water. how many tropical fish will this fish tank hold?
Mathematics
1 answer:
Zepler [3.9K]3 years ago
7 0
So first, you need to find the volume of the tank. 25*30*39=29250 cubic cm. If each fish requires 10,000 cubic centimeters of water, you will need to divide 29,250 by 10,000. That would equal 2.925. So, even though it rounds up to 3, the 3rd fish would not have enough space. That leaves us to say that the tank can only hold 2 fish.
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The manufacturer of official NFL footballs uses a machine to inflate its new balls to a pressure of 13.5 pounds. When the machin
Dmitriy789 [7]

Answer:

106

Step-by-step explanation:

Given that:

Mean (m) = 13.5 pounds

Error margin = 0.025

α = 99%

Variation interval = range = 13.3 to 13.7

Standard deviation (σ) estimate from range :

Range / 4

(13.7 - 13.3) /4

= 0.4 / 4

= 0.1

Zcritical at 99% = 2.576

Using the formula :

Sample size (n) = [ (Zcritical * σ) / M. E]^2

n = [(2.576 * 0.1) / 0.025]^2

n = (0.2576 / 0.025)

n = 10.304^2

n = 106.172

n = 107 samples

5 0
3 years ago
Thirteen people on a softball team show up for a game. a)How many ways are there to choose 10 players to take the field? b)How m
marishachu [46]

Answer:

a) 286

b) 1,037,836,800

c) 285

Step-by-step explanation:

a) Since order is not important, the total possible number of ways to choose 10 players out of 13 is the following combination:

C(13,10)=\frac{13!}{(13-10)!10! } \\C(13,10)=\frac{13*12*11*10!}{(3*2*1)10! }\\C(13,10) = 286

b) The total number of possibilities to assign positions by the selecting 10 players is the permutation of 13 players for 10 positions:

P(13,10) = \frac{13!}{(13-10)!}\\P(13,10) = 13*12*11*10*9*8*7*6*5*4\\P(13,10) =1,037,836,800

c) The number of ways to pick 10 players including at least one woman is equal to the total number of ways to pick 10 players (found in item a) minus the the number of ways to pick 10 players without picking a single woman.

Since there 10 male players for 10 positions, there is only one possible way to pick a team without women, therefore:

P=286-1 =285

6 0
3 years ago
Choose the correct simplification of the expression (-11x^3y^12z^3)^0
Maurinko [17]

Answer:

Step-by-step explanation:

any thing raised to 0 will equal 1

6 0
3 years ago
Simplify the following expression by combining like terms. Select the most simplified expression
Jet001 [13]

Answer:

It is D

Step-by-step explanation:

Distribute:

=(4)(5m)+(4)(3)+2m

=20m+12+2m

Combine Like Terms:

=20m+12+2m

=(20m+2m)+(12)

=22m+12

8 0
3 years ago
Estimate how long it will take to complete the
drek231 [11]

Answer:

14

Step-by-step explanation:

It's just that simple man.

5 0
3 years ago
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