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Answer:
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Step-by-step explanation:
Probabilities are used to determine the likelihood of events
The value of the probability P(thinking of a song)P(turn on the radio and hear the song) is 0.056
To calculate the probability, we make use of the following representations:
So, we have:
P(thinking of a song)P(turn on the radio and hear the song) = P(A) * P(B)
Assume that:
P(A) = 0.12 and P(B) = 0.47
P(thinking of a song)P(turn on the radio and hear the song) = 0.12* 0.47
Evaluate the product
P(thinking of a song)P(turn on the radio and hear the song) = 0.0564
Approximate
P(thinking of a song)P(turn on the radio and hear the song) = 0.056
Hence, the value of the probability P(thinking of a song)P(turn on the radio and hear the song) is 0.056
Read more about probabilities at:
brainly.com/question/25870256
The equation of the line is;
3y = 2x-8
Firstly, we need the to get the slope of the given line
To do this, we will write the equation of the line in the standard form
the standard form
is;
y = mx + b
where m is the slope and b is the y-intercept
y -4 = 2/3(x-3)
y -4 = 2x/3 - 2
y = 2x/3 -2 + 4
y = 2x/3 + 2
with respect to the given equation, the slope of the line is 2/3
Mathematically, when two lines are parallel, the slopes of the line are equal
So now, we want to find the equation of the line that has a slope of 2/3 and passes through the point (1,-2)
so;
y = 2x/3 + b
So substitute the values of (1,-2)
1 for x and -2 for y
-2 = 2/3(1) + b
-2 = 2/3 + b
b = -2 - 2/3
b = (-6-2)/3 = -8/3
So the equation of that line is;
y = 2/3x - 8/3
Multiply through by 3
3y = 2x - 8
a) 10, 7, 4, 1, -2, -5, -8, -11, -14, -17.
c) 1, 2, 3 4 5 6 7 8 9 10.
d) √1 , √2, √3 √4 , √5, √6 √7 , √8, √9 √10.
e) 1, 5, 6, 11, 17, 28, 45, 73, 118, 191.
a) 10, 10-3 , 10-3-3...
c) 3(1)- 2(1) , 3(2) - 2(2), 3(3) - 2(3), 3(4) - 2(4) ..
= 1, 2, 3, 4...
d) √1 , √2, √3 ...
e) 1, 5, (5+6), (5 + 11)...
