The first figure is dilated to form the second figure.
1 answer:
1) The scale factor is 0.25 is true.
Step-by-step explanation:
Step 1:
The first figure is dilated to form the second figure. The shape is a rhombus.
It is given that the side length of the first figure is 5.8 and the side length of the second figure is 1.45.
Step 2:
To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling. In this case, it is the side length of the rhombus.
The scale factor
So the scale factor is 0.25. This is the first option.
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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).