Answer:
Step-by-step explanation:
So we know that:
And that the two angles are vertical angles.
Since they are vertical angles, their measurements are equivalent. Thus, to find x, set the equations equal to each other:
Now, solve for x. Add 30 to both sides. The left side cancels:
Now, subtract 2x from both sides. The right cancels:
Thus, the value of x is 21.
Answer:
The probability that in a random sample of 100 CSU graduates the error is within 5% of the population proportion of 60% is 0.6923.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
The standard deviation of this sampling distribution of sample proportion is:
The information provided is:
<em>p</em> = 0.60
<em>n</em> = 100
As <em>n</em> = 100 > 30, the central limit theorem can be applied to approximate the sampling distribution of sample proportions.
The distribution of sample proportion is .
Compute the probability that in a random sample of 100 CSU graduates the error is within 5% of the population proportion of 60% as follows:
Thus, the probability that in a random sample of 100 CSU graduates the error is within 5% of the population proportion of 60% is 0.6923.