Help please, I’m timed.

Mathematics

1 answer:

Nadya [2.5K]4 years ago

4 0

Answer:

Final answer is A. $P(A^c)=\frac{4}{7}$

Step-by-step explanation:

From table we see that there are 7 places in the list.

Event A = The place is city.

Then $A^c$ indicates the place is NOT city.

From table we see that there are 4 names "India, Peru, Canada, Mexico" which are not city.

Hence probability that the chosen place is not city is given by:

$P(A^c)=\frac{4}{7}$

Hence final answer is A. $P(A^c)=\frac{4}{7}$

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Given T(-2,4,7) and M(-3,5,2) find the ordered triple that represents TM Then find the magnitude of TM-

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Answer:

(D)

$\overrightarrow{TM} = < 1, -1, 5 >\\|TM|= 3\sqrt{3}$

Step-by-step explanation:

Given T(-2,4,7) and M(-3,5,2)

$\overrightarrow{TM} = \underline{m} - \underline{t}$ where m and t are position vectors. $= - < -3, 5, 2> $ (Subtract corresponding components )$\\= < -2+3, 4- 5, 7-2 >\\= < 1, -1, 5 >$