2000 dollars is owed with 9% interest rate.
Now, assuming that for 10 years, it is not being paid.
Let's calculate for the money that is now owed.
=> 2000 dollars * . 09 = 180 dollars for 1 years
=> 180 dollars * 10 years = 1800 dollars
=> 2000 + 1800 = 3800 dollars for 10 years.
If the original angle is x degrees then its supplement is 180 - x degrees.
we have the equation:-
180 - x = 3x + 20
160 = 4x
x = 40
The original angle is 40 degrees and its supplement is 140 degrees
What are you asking specificaly
Answer:
a) The equation is:
Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples
b) The 98% confidence interval = (5.62784, 6.37216)
Step-by-step explanation:
a. Write down the equation you should use to construct the confidence interval for the average number of days absent per term for all the children. (10 points)
Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples
b. Determine a 98% confidence interval estimate for the average number of days absent per term for all the children. (10 points)
Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples
Mean = 6 days
Standard deviation = 1.6 days
Number of samples = 100
Z score of 98% confidence interval = 2.326
Confidence interval = 6 ± 2.326 × 1.6/√100
= 6 ± 2.326 × 1.6/10
= 6 ± 0.37216
= 6 - 0.37216
= 5.62784
6 + 0.37216
= 6.37216
Therefore, the 98% confidence interval = (5.62784, 6.37216)
Answer:
=> x° + 57° + (43°+24°) = 180° ------------ (angle sum property of ∆)
=> x° + 57° + 67° = 180°
=> x° + 124° = 180°
=> x° = 180° — 124°
<h2>
=> x° = 56°</h2>
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=> x° + y° + 43° = 180° ------------- (angle sum property of ∆)
=> 56° + y° + 43° = 180°
=> y° + 99° = 180°
=> y° = 180° — 99°
<h2>
=> y° = 81°</h2>
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=> y° + z° = 180° ------------- (Linear pair)
=> 81° + z° = 180°
=> z° = 180° — 81°
<h2>
=> z° = 99°</h2>
Step-by-step explanation:
so,
<h2>x° = 56°</h2><h2>y° = 81°</h2><h2>z° = 99°</h2>