7.
1 answer:
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4π radians
<h3>Further explanation</h3>We provide an angle of 720° that will be instantly converted to radians.
Recognize these:
From the conversion previous we can produce the formula as follows:
We can state the following:
- Degrees to radians, multiply by
- Radians to degrees, multiply by
Given α = 720°. Let us convert this degree to radians.
720° and 180° crossed out. They can be divided by 180°.
Hence,
- - - - - - -
<u>Another example:</u>
Convert to degrees.
180° and 3 crossed out. Likewise with π.
Thus,
- A triangle is rotated 90° about the origin brainly.com/question/2992432
- The coordinates of the image of the point B after the triangle ABC is rotated 270° about the origin brainly.com/question/7437053
- What is 270° converted to radians? brainly.com/question/3161884
Keywords: 720° converted to radians, degrees, quadrant, 4π, conversion, multiply by, pi, 180°, revolutions, the formula
Answer: a) P = 0.5, b) P = 0.07
Step-by-step explanation:
Hi!
Lets call X₁ the time at which you arrive, and X₂ the time at which Bob arrives. Both are random variables with uniform density in the interval [0, 60] (in minutes). Their joint distribuition is uniform over the square in the image, with value P = 1/(60*60) = 1/3600.
a) For you to get more cake than Bob, you should arrive earlier. This event is A = { X₁ < X₂ }, the shaded triangle in the figure.The area of this event (set) is half the total area of the square, so P(A) = 0.5.
It makes sense, beacuse its equally probable for you or Bob to arrive earlier, as both have uniform density over the time interval.
b) In this case you arrive later than Bob, but less than 5 minutes later. So the event is B = { X₂ < X₁ < (X₂ + 5) } . This is the gray shaded area in b) part of the image. Its area is the difference two triangles (half square - blue triangle), then the probability is:
