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kifflom [539]
3 years ago
10

All of the following are examples of units except

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
3 0
Looking at the choices one by one
a. weight - it is a physical property and not a unit
b. kilometer - it is a unit of distance
c. gram - it is a unit of mass
d. teaspoon - it is a unit of volume

Therefore, all the choices are examples of units except for
a. weight
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Alex needs to catch a train. The train arrives randomly some time between $1:00$ and $2:00$, waits for $10$ minutes, and then le
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The probability that the train will be there when Alex arrives is 5/18

If Alex arrives at any time after 1.20pm the chances that train will  be there is 1/3.

However  if alex arrives at 1.00pm exactly there is no chance the train will be arrive there.

The probability that the train will be there increase linearly to 1/3 as alex's arrival time moves from 1.00pm to 1.20pm.

By arranging the probabilities over the first 20 minutes to get a 1/6 chance the train will be there if alex arrives between 1.00pm to 1.20pm

we get the final answer by

=1/3( 1/6 + 1/3 + 1/3)

=5/18

So, the probability that the train will be there when Alex arrives is 5/18

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Which of the following is a valid counterexample to disprove
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The letters in the given list are written on tiles, one letter per tile. A, B, C, F, G, I, K, L, O, P, Q, T, V, W, X, Z The 16 t
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Answer:

(a) \frac{1}{16}

(b)\frac{1}{8}

(c)\frac{3}{16}

(d)\frac{15}{16}

Step-by-step explanation:

The letters in each tile are:

A, B, C, F, G, I, K, L, O, P, Q, T, V, W, X, Z

Total Number of tiles n(S)=16

(a)The probability of drawing any one of the letters

The Probability of drawing any one of the letters =\dfrac{1}{n(S)}=\dfrac{1}{16}

(b)The probability of drawing either an "F" or "P" tile

P(Either an F or a P Tile) = P(drawing an F Tile )+P(drawing a P Tile)

=\dfrac{1}{16}+\dfrac{1}{16}\\=\dfrac{2}{16}\\=\dfrac{1}{8}

(c)The probability of drawing a vowel

The Vowel Tiles are: A,I,O

Number of Vowels =3

\text{P(Drawing a vowel)}=\dfrac{3}{16}

(d)The probability of not drawing a "Q" tile

\text{P(Drawing a Q tile)}=\dfrac{1}{16}\\Therefore:\\\text{P(Not Drawing a Q tile)}=P(Q^c)=1-\dfrac{1}{16}\\=\dfrac{15}{16}

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