I. Triangle ABC could be a right triangle.
II. Angle C cannot be a right angle.
III. Angle C could be less than 45 degrees.
We have altitude h to side AB and AB=h, i.e. the altitude is congruent to the side it goes to.
That's all kinds of triangles. One way to see them is using two horizontal parallel lines h apart, the bottom one with a base AB=h somewhere on it. Then any C on the top line makes a triangle ABC with altitude h=AB.
Let's go through the choices.
I. ABC could be a right triangle. That's TRUE.
We could have the isoscleles right triangle, C directly above B, so AC is the leg and an altitude, AB=AC and B is the right angle.
II. Angle C cannot be a right angle. That's TRUE.
The biggest angle C can be is when it's over the midpoint of AB, so if AB=2, h=2, and
so
III. Angle C could be less than 45 degrees. That's TRUE.
As long as C stays on our top parallel, we can make it as acute as we like by going farther away from AB.
All true. Hmmm.
Answer:
13/18
Step-by-step explanation:
See attachment
Answer:
A task time of 177.125s qualify individuals for such training.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by
After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.
In this problem, we have that:
A distribution that can be approximated by a normal distribution with a mean value of 145 sec and a standard deviation of 25 sec, so .
The fastest 10% are to be given advanced training. What task times qualify individuals for such training?
This is the value of X when Z has a pvalue of 0.90.
Z has a pvalue of 0.90 when it is between 1.28 and 1.29. So we want to find X when .
So
A task time of 177.125s qualify individuals for such training.
Answer:
600
Step-by-step explanation:
(1 / 10) * 6000
That's it!