<a and <b are complementary angles. <a measures 22What is the measure of <b?
1 answer:
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Answer:
B and F
Step-by-step explanation:
The simple golden rule that we need to know here is
<em><u>"The probability of any event is always between 0 and 1 inclusive"</u></em>
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If an event has a probability of p(x), we can say:
Also, probability is ALWAYS POSITIVE.
Thus,
A) OK because 33.3% is 0.333, which is between 0 and 1
B) NOT OK, because probability isn't negative
C) 0.0002 is in between 0 and 1, so possible
D) 0 probability means it can't happen, so that's okay as well
E) this is a fraction with numerator less than denominator, which means its between 0 and 1, so OK
F) this fraction's numerator is greater than denominator, so it's greater than 1. Probability can't be greater than 1, so NOT OK
Out of these B and F cannot represent the probability of an event
Answer:
The answer is below
Step-by-step explanation:
We have a vector with a magnitude of 75 miles and a direction of 300 °.
To draw it, the first thing is to make a Cartesian plane, the first thing is to know in which quadrant it would be, 300 ° is in the fourth quadrant (270 ° - 360 °), that is, it would be 30 ° (300 ° - 270 °) with respect to to the y axis negative.
Knowing this angle, we calculate the value of x and y, knowing that the magnitude of the vector is 75 miles, that is, this value would be the hypotenuse.
The value on the x-axis can be calculated using the sine of the angle, like this:
sin 30 ° = x / 75
x = sin 30 ° * 75
x = 37.5
Now to calculate the value on the y-axis it would be by means of Pythagoras and it would be:
y ^ 2 = 75 ^ 2 - 37.5 ^ 2
y ^ 2 = 4218.75
y = 64.95, -64.95 because it must be located in the fourth quadrant
Which means that to draw the vector that we are asked to do, we must draw a point from origin (0,0) to (37.5, -64.95).
Then I leave a sketch of what it would be:
