By comparing the perimeters, we can deduce the scaling factor:

The areas scale with the square of the scaling factor, so the new area is

If Malcolm has driven 418 miles which is rounded to 420, and he has driven 384 miles which is rounded to 380, he has driven around 800 miles so far. Then you would subtract 800 from 1,273 you would get around 470 miles. That means Malcolm has 470 miles left to drive.
Answer:
0.03125
Step-by-step explanation:
Note that -32 is obtained by multiplying 128 by -1/4, and that 8 is obtained in the same way. Thus, the common ratio is -1/4, and the formula for the nth term of this sequence is
a(n) = 128(-1/4)^(n-1).
Then the 7th term is a(7) = 128(-1/4)^(7-1) = 128(-1/4)^6, or 0.03125.
The 97% confidence interval for the proportion of adults is 0.801<P<0.851.
Given that 867 adults are randomly selected from 1050 who always wear seat belts.
A confidence interval refers to the probability that a population parameter will fall between a set of values for a certain proportion of times.
Let's assume n=1050 and x=867
Find the sample proportion by dividing the given proportion with sample size as,

Find the α by subtracting the given confidence interval that is 97% from 1 as
α=1-(97÷100)
α=1-0.97
α=0.03
To find the critical value that is
by dividing alpha with 2,

From this table which is shown in the figure it says that the critical value is

Use this formula to find the confidence interval 
Substitute the values in the formula,

Hence, a 97% confidence interval for the proportion of adults who always wear seat belts is 0.801<P<0.851.
Learn more about confidence interval from here brainly.com/question/13929861
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