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Degger [83]
3 years ago
15

this is kinda confusing but it says “if 1 cm represents 2 meters, how long would each measurement be on an actual basketball cou

rt?”

Mathematics
1 answer:
frosja888 [35]3 years ago
4 0

Answer:

  • 28 m
  • 15 m
  • 24.8 m
  • 1.0 m

Step-by-step explanation:

The given statement is the scale factor:

  \dfrac{\text{scale distance}}{\text{actual distance}}=\dfrac{1\text{ cm}}{2\text{ m}}

This can be rearranged to the formula ...

  \text{actual distance}=\text{(scale distance)}\dfrac{2\text{ m}}{1\text{ cm}}

Filling in the given scale distances, you find the actual distances to be ...

  \textbf{(a) }(14\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=14\cdot2\text{ m}=28\text{ m}\\\\\textbf{(b) }(7.5\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=7.5\cdot2\text{ m}=15\text{ m}\\\\\textbf{(c) }(12.4\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=12.4\cdot2\text{ m}=24.8\text{ m}\\\\\textbf{(d) }(0.5\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=0.5\cdot2\text{ m}=1.0\text{ m}\\\\

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7 0
3 years ago
Car #1 travels 105 miles in 5 hours. Car #2 travels 252 miles in 3
professor190 [17]

Answer:

21 miles/hour

Step-by-step explanation:

Let s= speed of car #1

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3 years ago
A rare mutation only occurs in 1 in every 2048 generations of fruit flies. We can assume that whether or not the mutation occurs
sergey [27]

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.

5 0
4 years ago
Help! Find the domain of the graph
charle [14.2K]

Answer:

[-8,4]

Step-by-step explanation:

you look at the x-axis. The end points of the graph are -8 and 4, thus the domain would be [-8,4] as it is always written in left to right or bottom to top value.

hope it helps.

8 0
3 years ago
Use the distributive property to rewrite each algebraic expression: Do not solve, just rewrite.
cestrela7 [59]
I am not positive for the factoring of each expression but for the distributive property you do 8 TIMES x then 8 times 7 so you would get blank plus blank and so on for the next ones.
3 0
3 years ago
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