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viva [34]
3 years ago
13

97 students choose to attend one of three after school activities: football, tennis or running. There are 45 boys. 36 students c

hoose football, of which 11 are girls. 41 students choose tennis. 15 girls choose running. A student is selected at random. What is the probability this student chose running? Give your answer in its simplest form.
Mathematics
1 answer:
spayn [35]3 years ago
8 0

Answer:

20/97

Step-by-step explanation:

Since we are only looking at students in general that choose running, the question is more simple than it seems. We can ignore every phrase that is gender specific because it doesn't apply to our question. All we need to know is that there are:

97 students

36 who chose football

41 who chose tennis

And we just need to find the number that chose running

97-(36+41)=20

20 students chose running

20/97

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LL
Sonbull [250]

Answer:

x=\boxed{6.6}

\overline{\sf DE}=\boxed{13.2}\:\:\sf units

Step-by-step explanation:

<u>Geometric Mean Theorem - Altitude Rule</u>

The <u>altitude</u> drawn from the vertex of the right angle perpendicular to the hypotenuse separates the <u>hypotenuse</u> into <u>two segments</u>.  The ratio of one segment to the altitude is equal to the ratio of the altitude to the other segment:

\sf \dfrac{segment\:1}{altitude}=\dfrac{altitude}{segment\:2}

From inspection of the given diagram:

  • altitude = FD = 9
  • segment 1 = CD = 5
  • segment 2 = DE = 2x+3

\begin{aligned}\sf \dfrac{segment\:1}{altitude} & = \sf \dfrac{altitude}{segment\:2}\\\\\implies \dfrac{5}{9} & = \dfrac{9}{2x+3}\\\\5(2x+3) & = 81\\\\10x+15 & = 81\\\\10x & = 66\\\\ \implies x & = 6.6\end{aligned}

Substitute the found value of x into the expression for DE:

\begin{aligned}\sf \overline{DE} & = 2x+3\\\implies \sf \overline{DE} & = 2(6.6)+3\\& = 13.2+3\\& =16.2\:\: \sf units\end{aligned}

5 0
2 years ago
Read 2 more answers
if syn spends 15 minutes running, he burns 200 calories. how long would it take Syn to burn 150 calories?
kramer

Answer:

<h2>11.25min</h2>

Step-by-step explanation:

In this problem, we first need to find the rate at which syn burns calories per minute

so in 15mins, he burns 200 calories

    in 1 mins he will burn x

x= 200/15

x=13.33 calories per min this is the rate

So in one minute he will burn 13.33 calories

Now using the idea of rate=quantity/time

the rate=13.33

quantity=15 calories

time=?

time=quantity/rate

time=150/13.33

time=11.25min

   Alternatively

(very fast approach)

         if syn spend 15min to burn 200 cal

then he will spend x min to burn 150 cal

cross multiply

x=(150*15)/200

x=2250/200

x=11.25mins

5 0
3 years ago
Determine if the pair of lines are parallel, perpendicular, or intersecting.
allsm [11]

Answer:

They are parallel

Step-by-step explanation:

They both start with y=2/3x so you know the slope is the same. The +4 and -1 are just the intercepts

6 0
3 years ago
Here is the other one
katen-ka-za [31]
If you are talking about #5 then the mode is 7 because mode is the number that appears the most
8 0
3 years ago
Read 2 more answers
(WILL MARK AS BRAINLEIST)
Bogdan [553]

Answer:

Step-by-step explanation:

20%

8 0
3 years ago
Read 2 more answers
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