Mrs. Smythe is twice as old as her daughter Samantha. Ten years ago the sum of their ages was 46 years. How old is Mrs. Smythe?
1 answer:
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Answer:
Step-by-step explanation:
Below is the rectangle in the attachment.
Current scale:
1 cm : 6 inches
If the dimensions of the rectangle is:
Length = a cm
Width = b cm
Using the scale:
Length = a × 6 inches
Width = b × 6 inches
Using the same dimensions of the rectangle is:
Length = a cm
Width = b cm
Using the scale:
Length = a × 12 inches
Width = b × 12 inches
Note that there is an enlargement of the rectangle to form the new rectangle. The length and width of new rectangle drawn will be 2 × the length and width of the rectangle seen below.
The confidence interval would be (0.122, 0.278).
We first find our z-score. We want a 95% confidence interval:
0.95/2 = 0.475
Looking this up in the z-table, (http://www.statisticshowto.com/tables/z-table/) we see the z-score is 1.96.
The formula we will use is:
In this problem, p = 20/100 = 0.2, and n=100:
We first find our z-score. We want a 95% confidence interval:
0.95/2 = 0.475
Looking this up in the z-table, (http://www.statisticshowto.com/tables/z-table/) we see the z-score is 1.96.
The formula we will use is:
In this problem, p = 20/100 = 0.2, and n=100: