Answer:
52 degrees
Step-by-step explanation:
The 38 degree angle and the angle marked with a question mark are complimentary, which means they add up to 90 degrees. Knowing this, subtract 38 from 90 to find the mystery angle.
Answer:

And for this case we can use the cumulative distribution function given by:

And using this formula we have this:

Then we can conclude that the probability that your bid will be accepted would be 0.41
Step-by-step explanation:
Let X the random variable of interest "the bid offered" and we know that the distribution for this random variable is given by:

If your offer is accepted is because your bid is higher than the others. And we want to find the following probability:

And for this case we can use the cumulative distribution function given by:

And using this formula we have this:

Then we can conclude that the probability that your bid will be accepted would be 0.41
Answer:
0.04746
Step-by-step explanation:
To answer this one needs to find the area under the standard normal curve to the left of 5 minutes when the mean is 4 minutes and the std. dev. is 0.6 minutes. Either use a table of z-scores or a calculator with probability distribution functions.
In this case I will use my old Texas Instruments TI-83 calculator. I select the normalcdf( function and type in the following arguments: :
normalcdf(-100, 5, 4, 0.6). The result is 0.952. This is the area under the curve to the left of x = 5. But we are interested in finding the probability that a conversation lasts longer than 5 minutes. To find this, subtract 0.952 from 1.000: 0.048. This is the area under the curve to the RIGHT of x = 5.
This 0.048 is closest to the first answer choice: 0.04746.
Add them together then subtract 10 then divide by 8%
The answer is C, because 2 shapes can have the same area, but that doesn't necessarily mean they're congruent.