Answer: The required probability is 0.3296.
Step-by-step explanation:
Since we have given that
Number of songs = 105
Number of songs are by the Beatles = 10
So, Number of songs are not by the Beatles = 105-10=95
So, the probability that the first Beatles song heard is the fifth song played is given by

Hence, the required probability is 0.3296.
1/2 of angle D is given as 32 degrees.
The 3 inside angles need to add up to 180 degrees.
Angle B is a right angle, which is 90.
Angle C = 180 - 90 - 32 = 58 degrees.
Answer:
An equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12 will be:
Step-by-step explanation:
Given the equation

converting the line into the slope-intercept form y = mx+b, where m is the slope


The slope of the line = m = 5
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
Therefore, the slope of new line = – 1/m = -1/5 = -1/5
Using the point-slope form of the line equation

where m is the slope of the line and (x₁, y₁) is the point
substituting the slope of new line = -1/5 and (-2, 3)



Add 3 to both sides


Therefore, an equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12 will be: