-simplified fraction = 4xy/(x+y)(x-y)
Answer:
213 degrees
Step-by-step explanation:
A quadrilateral has an internal measurement of angles of 360 degrees. Given that we have 3 measures of the angles, we simply need to find the 4th. This can be accomplished with the following equation:
x + 52 + 54 + 41 = 360
x + 52 + 95 = 360
x + 147 = 360
x = 213
Hence, the measure of the final angle is 213 degrees.
Cheers.
Answer:
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
For this case the standard error is given by:
Solution to the problem
For this case we want to find the probability that the sample proportion will be within +-.03 of the population proportion like this:
And for this case we can use the following z score:
And using this formula we got:
And we can find this probability like this:
Answer:
6x-2y=4
Step-by-step explanation:
hope this helps
Answer:
7.9
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship of the hypotenuse and the side opposite an angle:
... Sin = Opposite/Hypotenuse
For your geometry, this is ...
... sin(21°) = x/22
Multiplying by 22 gives ...
... x = 22·sin(21°) ≈ 7.9