A rectangle has a length of 11 inches and a width of 8.5 inches. This rectangle is dilated by a scale factor of 2.2 to create a
2 answers:
Answer:
The dimensions of the new rectangle are by
Step-by-step explanation:
we know that
The dimensions of the new rectangle will be equal to the dimensions of the original rectangle multiplied by the scale factor
In this problem we have that
the scale factor is equal to
so
Find the new length L2
Find the new width W2
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Answer:
1.) .399
2.) {.369, .429}
Step-by-step explanation:
The proportion of criminals in this sample that were caught was =.39944, .399 rounded to three decimal places.
To construct the confidence interval, you need three pieces of information: the statistic, the critical value, and the standard error.
The statistic is given in the first part of the problem with the proportion of criminals in the sample that were caught was .399.
The critical value, we are told, is the z equivalent of 90%, or 1.645. You can find this value using a z table or with the inverse normal function on a calculator.
Finally, we need the standard error. The formula for standard error for a proportion with a single population is so in this situation it would be
=.0183.
The confidence interval would be .399±.018×1.645 or .399±.030 {.369, .429}