Answer:
The length of the diagonal of Stacy’s ceiling is 30√2 or 42.43
Step-by-step explanation:
a² + b² = c²
30² + 30² = c²
900 + 900 = c²
√1,800 = √c²
30√2 = c
Answer:
a. With 90% confidence the proportion of all Americans who favor the new Green initiative is between 0.6290 and 0.6948.
b. If the sample size is changed, the confidence interval changes as the standard error depends on sample size.
About 90% percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about 10% percent will not contain the true population proportion.
Step-by-step explanation:
We have to calculate a 90% confidence interval for the proportion.
The sample proportion is p=0.6619.
The standard error of the proportion is:
The critical z-value for a 90% confidence interval is z=1.6449.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 90% confidence interval for the population proportion is (0.6290, 0.6948).
Answer:
Step-by-step explanation:
To reduce a fraction, you have to divide both numbers by the same number. So, what number can we divide both numbers by?
We can divide it by 2. And when we do, the -4 becomes a -2 and the -6 becomes a -3. Usually, we can make it go smaller, but in this case we can't. But, you also have to cancel out the signs, because they are both negative. So 2/3 is the final answer.