Which of the following sets of points are vertices of a right triangle?
1 answer:
- Please find the picture for your triangle.
- We know, area of a ∆ = <u>1/2 × base × height</u>
- Here, base = ( 1 + 7 ) units = <u>8 units</u>
- Height = ( 7 - 1 ) units = <u>6 units</u>
- Therefore, area of the ∆
- = <u>(1/2 × 8 × 6) square units</u>
- = <u>24 square units.</u>
<u>Answer</u><u>:</u>
<em><u>2</u><u>4</u><u> </u><u>square </u></em><em><u>units</u></em>
Hope you can get an idea from it.
Carry on learning.
Doubt clarification - use comment section.
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Answer:
The percentage of the bank's customers carry daily balances between $700 and $1,000 is 65.7%.
The minimum daily balance on which it should be willing to pay interest is $1,198.
Step-by-step explanation:
We have a normal distribution with mean = $800 and standard deviation = $150.
a) We can calculate this value with the standard normal distribution, calculating the z-value for $700 and $1,000.
The percentage of the bank's customers carry daily balances between $700 and $1,000 is 65.7%.
b) We must calculate from what amount only 6% of the accounts remain.
This is done by solving:
This happens for a z-value of z=2.652.
This corresponds to a amount of $1,198.
The minimum daily balance on which it should be willing to pay interest is $1,198.