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Ainat [17]
3 years ago
8

Hi All,

Mathematics
1 answer:
tangare [24]3 years ago
8 0

Answer:

a) modal number of teachers in a car is 3

b) median number of teachers in a car is 3

c) mean number of teachers in a car is 2.5

Step-by-step explanation:

  • modal number is 3 because that is the highest frequency of  numbers of cars
  • median number is 3 because it is the middle number when you expand the frequency table.
  • mean number is 2.5 because that is the approximate average of all the numbers.
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The z-score of a beetle with a length of 2.38 centimeters is 2.4

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As we know,

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Substituting the given values in above equation, we get

 

z = (2.38 - 1.9)/0.2

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Read 2 more answers
The promising alternative energy sources currently under development are fuel cell technology and large-scale solar energy power
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Answer:

Step-by-step explanation:

a) Denote the event of commercially availability of f_uel cell technology as F_, commercial availability of solar power technology as S

Write the probability of energy supplied by these energy sources in the next 10 years  

P(energy supplied) = P(S ∪ F) -----(1)

Rewrite eqn (1)

P(energy supplied) = P(S) + P(F) - P(F) P(S) ----(2)

substitute 0.85 for P(S) and 0,7 for P(F) in eqn (2) to find the probability of energy supplied by these energy sources

P(energy supplied) = 0.85 + 0.7 - (0.7 * 0.85)

= 0.85 + 0.7 - (0.595)

= 1.55 - 0.595

= 0.955

Therefore, the probability that there will be energy supplied by these two alternative sources in the next 10 years is 0.955

B) write the probability of only one source of energy available

P(only one source of energy available) = P(\bar F S) ∪ P( \bar S F) ---(3)

Rewrite the equation (3)

P(only one source of energy available) =

=P(\bar F S)+P(\bar S F)\\\\=\{[1-P(F)]P(S)+[1-P(S)]P(F)\}---(4)

=\{[1-0.7]0.85+[1-0.85]0.7\}\\\\=0.255+0.105\\\\=0.36

Therefore,The probability that only one of the two alternative energy sources will be commercially viable in the next 10 years is 0.36

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