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mixas84 [53]
3 years ago
15

if it rains tomorrow, the probability is 0.8 that john will practice the piano. if it does not rain tomorrow, there is only a .4

chance that john will practice. if there is a 60% that it will rain tomorrow, what is the probability that John will practice his piano lesson? i'm supposed to use a tree diagram to solve this ...?

Mathematics
2 answers:
olga nikolaevna [1]3 years ago
6 0
P(J / R) = P (J and R) / P(R) 
<span>0.8 = P (J and R) / 0.6 </span>
<span>P (J and R) = 0.6 * 0.8 = 0.48 [Probability John practicing and it is raining] </span>

<span>P(J / NR) = P (J and NR) / P(NR) </span>
<span>0.4 = P (J and NR) / (1 - 0.6) = P (J and NR) / 0.4 </span>
<span>P (J and NR) = 0.4 * 0.4 = 0.16 [Probability John practicing and it is not raining] </span>

<span>Hence; </span>
<span>Propability of John practicing regardless of weather condition is </span>

<span>P(John Practicing) = 0.48 + 0.16 = 0.64</span>
raketka [301]3 years ago
4 0

Answer:64 %

Step-by-step explanation:

Given if it rains John Plays piano is 0.8

i.e. if it rains probability that john will not play is 0.2

If it not rain Then probability that john will play piano is 0.4

he will not play is 0.6

Given if there is 60 % chance that it will rain tomorrow  

Thus Pobability that john will play is

=Probability\ that\ it\ will \times Probability\ john\ will\ play+Probability\ it\ will\ not\ rain\times Probability john will play

=0.6\times 0.8+0.4\times 0.4=0.48+0.16=0.64

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3

Step-by-step explanation:

C(n) = 5n, 0 ≤ n ≤ 10       You would use this equation for finding the cost of 10 shirts. Since 10 is equal to 10.

C(n) = 5n, 0 ≤ n ≤ 10 ← You can ignore the 0 ≤n ≤10 part.

C(10) = 5(10)                 Input the value 10 as x.

C(10) = 50                    Simplified

Next,

C(n) = 4n + 5, n > 10      You would use this equation for finding the cost of 12shirts. Since 12 is greater than 10.

C(n) = 4n + 5, n > 10  ←  You can ignore the n>10 part.

C(12) = 4(12) + 5, n > 10  Input the value of 12 as x.

C(12) = 48 + 5                 Simplify

C(12) = 53    

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The question is asking you to find the difference between the cost of 12 shirts and the cost of 10 shirts. So the formula would be C(12) - C(10).

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3 0
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The <em>y-intercept</em> is the value of the function when x = 0.

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A is <em>wrong</em>, because f(0) = -16(0) + 1 = 0 + 1 = 1.

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Step-by-step explanation:

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