Answer:
38 degrees
Step-by-step explanation:
this is an isosceles triangle, meaning that the base angles are congruent.
the total triangle is equal to 180
so the equation would be: x=180 - (71+71)
evaluate:
x=180-142
x=38 degrees
Hope this helps :)
Answer:
1
Explanation:
According to the Unit Circle, sin π\6 is ½, so we plug this into the cosine function to get this:
cos π\6 - π\6 → cos 0 >> 1
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** I do not have Unit Circle video uploaded yet, but if I need to, just notify me in the comments or on of course, You-Tube.
*** Plus, we need to make sure that the x-value falls in between 0 and π\2, which it did, so no need to worry.
Answer:
0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
In which is the decay parameter.
The probability that x is lower or equal to a is given by:
Which has the following solution:
The probability of finding a value higher than x is:
Mean of 4 minutes
This means that
Find the probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot:
This is:
In which
0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.
Answer:
Yes, you're correct.
Step-by-step explanation:
Answer: B
Step-by-step explanation:
Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. Since the machines are identical and running at the same constant rate, it means each of them as the same rate. The rate of each machine can produce would be determined by dividing the combined unit rate by 6. It becomes
270/6 = 45 bottles per minutes
The rate for 10 machines running at the same constant rate would be
10 × 45 = 450 bottles per minutes.
If the 10 machines produce 450 bottles per minutes, then,
In 4 minutes, the 10 machines will produce 4 × 450 = 1800 bottles