Answer:
Length of the minor arc AB = 5.27777777778 cm
Step-by-step explanation:
Here you would require a simple proportionality.
The ratio of the degree of the minor arc (95 degrees) over the total, 360 degrees of every circle, comparative to the length of the minor over the circumference (20 cm).
Here we can propose that the length of the minor can be equal to x.
Now let's substitute the known values:
95 / 360 = x / 20
Now cross multiply:
360 * x = 95 * 20 ⇒
360x = 1900 ⇒
x = 5.27777777778 ⇒
length of the minor arc AB = 5.27777777778 cm
For this case, the first thing we must do is take into account the definition of the axes:
the x axis is time in seconds
the y axis is velocity in meters per secon
Then, we look for the cut point with the y axis, which is given by:
(0, 2)
This means that the initial speed is 2 m / s.
We now look for the cut point with the x axis, which is given by:
(8, 0)
This means that the speed is 0 m / s, so the runner stopped when the time is 8 seconds.
Answer:
The initial velocity of the runner was 2 m / s, and the runner stopped after 8 seconds.
The z-score is given by:
z=(x-μ)/σ
but
x-μ=52
thus
z=52/√84681
z=0.1787
Thus:
P(X≤52)=0.9633
Answer:
12. 9÷0.75.
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6 songs
The way to find this answer is to divide 18 by 3, which is six, which means that after every six songs a commercial is played.
Hope this was helpful and that I explained it correctly.
