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Elina [12.6K]
3 years ago
11

At Howard High School, 53% of all students participate in after school sports and 27% participate in both after school sports an

d music lessons. What is the probability that a student participates in music lessons given that the student participates in after school sports?
Mathematics
2 answers:
-BARSIC- [3]3 years ago
8 0
If the probability that all students participate in after school sports is 53 percent and 27% is the probability that a student will participate in BOTH after school sports and music lessons. The sum of the two probabilities is 80%. The total sum of the percentage probability should always be 100%. Therefore, the probability that a student participates in music lessons is 100 - 80, 20%. 
Naddika [18.5K]3 years ago
4 0

Answer:

51%

Step-by-step explanation:

Did it on APEX

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64, –48, 36, –27, ...<br><br> Which formula can be used to describe the sequence?
nordsb [41]

Answer:

\boxed{a_n \:  =  \: 64 \:  \times  \: ( -  \frac{3}{4} ) ^{n \:  -  \: 1} }

Step-by-step explanation:

  • We first compute the ratio of this geometric sequence.

r \:  =  \:  \frac{ - 48}{64}  \\  \\ r   \:  =  \:  \frac{36}{ - 48}  \\  \\  r \:  =  \:  \frac{ - 27}{36}

  • We simplify the fractions:

r \:  =  \:   -  \frac{3 }{4}   \\  \\ r   \:  =  \:   -  \frac{3 }{4}  \\  \\  r \:  =  \:    -  \frac{3 }{4}

  • We deduce that it is the common ratio because it is the same between each pair.

r \:  =  \:  -  \frac{3 }{4}

  • We use the first term and the common ratio to describe the equation:

a_1 \:  =  \: 64; \: r \:  =  \:  -  \frac{3 }{4}

<h3>We apply the data in this formula:</h3>

\boxed{a_n \:  =  \: a_1 \:   \times  \:  {r}^{ n \:  -  \: 1} }

_______________________

<h3>We apply:</h3>

\boxed {\bold{a_n \:  =  \: 64 \:   \times  \:  {( -  \frac{3}{4} )}^{ n \:  -  \: 1} }}

<u>Data</u>: The unknown "n" is the term you want

<h3><em><u>MissSpanish</u></em></h3>
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The ratio of yellow shirts to green shirts in Ms. Grayson’s closet is 5:2. She has a total of 21 yellow and green shirts combine
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15 yellow 6 green
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21 divided by 3 is 7
5x3=15
2x3=6

6 0
2 years ago
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