Evaluate the expression when a -4 and b= 7. a-9b
1 answer:
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The confidence interval is (0.616, 0.686).
To find the confidence interval, we first find p, the proportion of students:
658/1010 = 0.6515
The confidence interval follows the formula
To find the z-score associated with this level of confidence:
Convert 98% to a decimal: 98% = 98/100 = 0.98
Subtract from 1: 1-0.98 = 0.02
Divide by 2: 0.02/2 = 0.01
Subtract from 1: 1-0.01 = 0.99
Using a z-table (http://www.z-table.com) we see that this is closer to the z-score 2.33.
Using our information, we have:
This gives us the interval (0.6515-0.0349, 0.6515+0.0349) or (0.616, 0.686).
To find the confidence interval, we first find p, the proportion of students:
658/1010 = 0.6515
The confidence interval follows the formula
To find the z-score associated with this level of confidence:
Convert 98% to a decimal: 98% = 98/100 = 0.98
Subtract from 1: 1-0.98 = 0.02
Divide by 2: 0.02/2 = 0.01
Subtract from 1: 1-0.01 = 0.99
Using a z-table (http://www.z-table.com) we see that this is closer to the z-score 2.33.
Using our information, we have:
This gives us the interval (0.6515-0.0349, 0.6515+0.0349) or (0.616, 0.686).
Answer:
As only the length of the room changed. It means the length of the room is increased by 175%, because of which the area is increased by 175%.
Therefore, the expression become
And the area of Megan's room is increased by 0.75 square meters.
Step-by-step explanation:
- Let
be the length of the room
- Let
be the width of the room
So the area of the rectangle will be:
As the statement mentions that the new area of the room is % of the previous area.
So the new area of the room becomes:
As only the length of the room changed. It means the length of the room is increased by 175%, because of which the area is increased by 175%.
Therefore, the expression become
also
so, the area of Megan's room is increased by 0.75 square meters.