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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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<u>Answer:</u> Greta is correct.

<u>Explanation:</u>

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In triangle ABC, AB measures 25 cm and AC measures 35 cm. The inequality &lt; s &lt; represents the possible third side length o
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we know that

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so

Let

s------> the length of the third side

25+s > 35 \\ s > 35-25 \\ s> 10\ cm          

25+35 > s \\ 60 > s \\ s< 60\ cm  

10\ cm < s < 60\ cm

therefore

<u>The answer part a) is</u>

10\ cm < s < 60\ cm

we know that

the perimeter of a triangle is the sum of the length sides

In this problem

P=25+35+s\\P=60+s

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the perimeter is equal to

P > 60+10\\ P>70\ cm

<u>For s< 60\ cm</u>

the perimeter is equal to

P < 60+60\\ P

so

70\ cm < P < 120\ cm

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70\ cm < P < 120\ cm

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In ΔBCA, CA = 15 cm, CF = 7 cm, BH = 3 cm. Find the perimeter of ΔBCA.
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Answer:

The perimeter of the triangle is equal to 36 cm

Step-by-step explanation:

we know that

The inscribed circle contained in the triangle BCA is tangent to the three sides

we have that

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AH=AG

step 1

Find CG

we know that

CF=CG

so

CF=7 cm

therefore

CG=7 cm

step 2

Find AG

we know that

CA=AG+CG

we have

CA=15 cm

CG=7 cm

substitute

15=AG+7

AG=15-7=8 cm

step 3

Find AH

Remember that

AG=AH

we have

AG=8 cm

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AH=8 cm

step 4

Find BF

Remember that

BF=BH

BH=3 cm

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BF=3 cm

step 5

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