Answer:
a) 2/3
b) 1/3
Step-by-step explanation:
Let X be the random event that measures the time you will have to wait.
Since time is uniformly distributed between 10 and 10:30 in intervals of 1 minute
P(n < X ≤ n+1) = 1/30 for every minute n=0,1,...29.
a)
P( X > 10) = 1 - P(X ≤ 10) = 1 - 10/30 = 2/3
b)
P(10 < X ≤ 20) = (20-10)/30 = 1/3
K-263.48=381.09
we add 263.48 on both sides
k=644.57
The point-slope form:
We have the points (5, -3) and (-2, 9). Substitute:
Answer:
The angle is 
.
Step-by-step explanation:
The building is 35 feet tall, and the rope is 400 feet long.Applying the trigonometric function, we have;
Sin θ = 
The height of the building represents the opposite side, while the length of the rope represents the hypotenuse. Thus;
Sin θ = 
Sin θ = 0.0875
θ = 
0.0875
= 
The angle made by the rope with respect to the ground is approximately .
Answer:
8. 0
9. undefined
Step-by-step explanation:
8. 0
> because the y variable is the same for all x-values, this is a horizontal line. Horizontal lines have a slope of 0.
> <em>Thinking of slope as rise over run: we will always rise 0, and run __ from any two points--0 divided by any number is always 0</em>
9. undefined
> because the x variable is always the same, no matter what y variable we graph, we will have the same outcome. So, this would look like a straight line, which have an undefined slope.
> <em>If you think of a slope as rise / run; if you go from any two points, there will be a 0 in the denominator--which is undefined</em>
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hope this helps!! have a lovely day :)
