Answer:
The product is the difference of squares is
Step-by-step explanation:
Explanation
- The given expression is (4-6 y)(4+6y).
- We have to multiply the given expression.
- Square the first term 4. Square the last term 6y.
4. M is the midpoint of XY. If XM = 8-t and MY = 5t-10, find tand XY.
1 answer:
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Answer:
the actual distance is 1800 ft.
Step-by-step explanation:
Proportion states that the two fractions or ratios are equal.
Let x be the actual distance.
As per the statement:
Reggie was looking at a map of the school the scale shows that 1 inch equals 150 ft.
⇒1 inch = 150 ft.
if the distance between his classroom in the cafeteria measures 12 in on the map.
by definition of proportions we have;
By cross multiply we have;
ft
Therefore, the actual distance is 1800 ft.
We cannot calculate the confidence interval without the sample size. However, for the second question, the sample size needed would be 49.
The formula we use is
To find the z-score:
Convert 98% to a decimal: 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 value is closest to a z-score of 2.33.
Using the z-score, our standard deviation (9) and our margin of error (3), we have:
The formula we use is
To find the z-score:
Convert 98% to a decimal: 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 value is closest to a z-score of 2.33.
Using the z-score, our standard deviation (9) and our margin of error (3), we have: