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sergij07 [2.7K]
3 years ago
11

A carton has a length of 22/3 feet, width of 11/8 feet, and height of 11/5 feet, What is the volume of the carton?​

Mathematics
1 answer:
cupoosta [38]3 years ago
7 0

Length of a carton :

=  \frac{22}{3}  \: feet

Width of the carton :

=  \frac{11}{8}  \: feet

Height of the carton :

=  \frac{11}{5}  \: feet

Volume of the carton :

= Length × Width × Height

=  \frac{22}{3}  \times  \frac{11}{8}  \times  \frac{11}{5}

=   \frac{2622}{120}

\color{hotpink} =  21.85 \: feet

Therefore, the volume of the carton = 21.85 feet.

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Answer:

(A) 0.0244

(B) 1 (not 1.47 as is calculated) since probability values are between 0 and 1; 0 and 1 inclusive

Step-by-step explanation:

The rare mutation only occurs in 1 generation, out of every 2048 generations. This implies that the next occurrence will fall in or within the next 2048 generations (2 generations in 4096 generations, will have the rare mutation).

(A) The probability of occurrence of this mutation at least once (at most infinity) in 50 generations of fruit flies will surely be less than, as 50 is less than 2048.

The accurate probability is gotten when 50 is divided by 2048

50÷2048 = 0.0244

(B) The probability of seeing this mutation at least once (at most infinity) in 3000 generations would have been 1.47 but for 3 reasons;

- The full question already tells that the mutation will occur once in every 2048 generations and 3000 is greater than 2048, hence there will be a sure occurrence within 3000 generations.

- Question (b) asks you to calculate the probability of seeing this mutation at least once in 3000 generations so, the probability is 1 (representing full probability).

- In probability theory or statistics, all probability values fall within 0 and 1; with 0 representing no occurrence at all and 1 representing full occurrence.

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Find an equation of line with given slope and y-intercept. Slope= -6 y-intercept= (0,-10) The equation of the line is: ?
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Step-by-step explanation:

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and the given point (0, -10) gives us already the y-value when x = 0 : -10

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