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sveticcg [70]
2 years ago
14

Four speed skaters, Marco, Naim, Oliver, and Pedro, compete in a relay race where they all agree that Naim will be the last

Mathematics
2 answers:
Romashka [77]2 years ago
6 0

Answer:

<em>A = {MOPN. MPON, PMON, POMN)</em>

Step-by-step explanation:

<u>Complete Question</u>

<em>Four speed skaters, Marco, Naim, Oliver, and Pedro, compete in a relay race where they all agree that Naim will be the last  skater. Then, they try to decide whether or not Oliver should be the first skater in the race. </em>

<em>Which subset, A, of the sample space shows the complement of the event in which Oliver is the first skater in the race? </em>

<em>A = {MOPN, PMON} </em>

<em>A = {OPMN, OMPN) </em>

<em>A = {MOPN,MPON, OPMN, POMN) </em>

<em>A = {MOPN. MPON, PMON, POMN)</em>

<em />

So,

Naim would be last, that means, "N" must come last in all the sets. All of them have this, so that's good.

Now, they want "COMPLEMENT" of the set where Oliver is 1st. Complement is the "opposite" event, not in set/subset. So we disregard anyone where there is "O" in first place.

1st set have only 2 possibilities, so that's out.

2nd set have same, so that's out.

3rd set has "O" at first place in third sub, so that's out.

4th set DOESN'T have "O" in first place and has 4 subs, so this is the correct answer.

<em>A = {MOPN. MPON, PMON, POMN)  -- correct</em>

Lerok [7]2 years ago
4 0

Answer:

Answer:A=OPMN,OMPN

Step-by-step explanation:

hope i helped :))) ! brainliest ??

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Quadrilateral ABCD is inscribed in a circle. m∠A is 64°, m∠B is (6x + 4)°, and m∠C is (9x − 1)°. What is m∠D?
Flauer [41]

Answer:

The m∠D is 98° ⇒ answer D

Step-by-step explanation:

* Lets revise some facts in the circle

- The quadrilateral is inscribed in a circle if its four vertices lie on the

  circumference of the circle

- It is called a cyclic quadrilateral

- Every two opposite angles in it are supplementary means the

  sum of their measures is 180°

∵ ABCD is inscribed in a circle

∴ ABCD is a cyclic quadrilateral

∵ ∠A and ∠C are opposite angles in the cyclic quadrilateral ABCD

∴ ∠A and ∠C are supplementary

∴ m∠A + m∠C = 180°

∵ m∠A = 64°

∵ m∠C = (9x - 1)°

∴ 64 + (9x - 1) = 180 ⇒ simplify

∴ 63 + 9x = 180 ⇒ subtract 63 from both sides

∴ 9x = 117 ⇒ divide both sides by 9

∴ x = 13

- Lets find the measure of ∠B

∵ m∠B = (6x + 4)°

∵ x = 13

∴ m∠B = 6(13) + 4 = 78 + 4 = 82°

- Lets find the measure of ∠D

∵ ∠B and ∠D are opposite angles in the cyclic quadrilateral ABCD

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∴ m∠D = 98°

* The m∠D is 98°

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Jeremy has two pieces of what one is 90 inches and the other is 72 inches he want to cut the pieces of wood in the smaller piece
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You earn $11 per hour delivering pizzas. you also work part-time at a convenience store where you earn $9 per hour. you want to
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A river drops 12 ft vertically over a horizontal distance of 1500 ft.
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Answer:

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The pressure at sea level is 111 atmosphere and increases at a constant rate as depth increases. When Sydney dives to a depth of
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Answer:

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Step-by-step explanation:

Allow me to revise your question for a better understanding:

<em>The pressure at sea level is 1 atmosphere and increases at a constant rate as depth increases. When Sydney dives to a depth of 23 meters, the pressure around her is 3.3 point, 3 atmospheres. The pressure p in atmospheres is a function of x, the depth in meters.</em>

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From that, we can form a linear equation with the standard form:

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