Answer:
<em>33 degrees</em>
Step-by-step explanation:
Complementary angles are 90 degrees when added.
So to find the measure of the other angle just subtract 57 from 90.
90 - 57 = 33
Answer:
One Angle = 110°
Other Angle = 70°
Step-by-step explanation:
A linear pair means that two angles are in a straight line (or, a straight angle).
A straight line is 180 degrees.
THey are supplementary.
We can say one angle is "a" and another one is "b".
<em>One angle is 10 MORE THAN 2/3rds of the other, we can write:</em>
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<em>Also, since they are supplementary (add up to 180), we can write:</em>
<em>a + b = 180</em>
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We can now substitute 1st equation in this one and find b:
Since a + b = 180, we can write:
a + 110 = 180
so,
a = 180 - 110
a = 70
Thus,
One Angle = 110°
Other Angle = 70°
The 95% confidence interval for the population will be 0.312 < SD < 0.885.
<h3>How to calculate the confidence interval?</h3>
From the information given, it should be noted that the values listed below are waiting times of customers at the Jefferson Valley Bank, where customers enter a single waiting line that feeds three teller windows.
The degree of freedom will be:
= 9 - 1 = 8
The number illustrated is 9 and the standard deviation is 0.462.
The 95% confidence interval will be'
= ✓(9 - 1) × 0.462²/17.53) < ✓(9 - 1( × 0.462)²/2.28
= 0.312 < SD < 0.885.
Learn more about confidence interval on:
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L - Lane's age
m- Mel's age.
Lane is 10 times Mel's age, so 10m = l
difference in their age is 27 so l - m = 27
Substitute l = 10m and you'll have:
10m - m = 27
9m = 27 /:9
m=3
And l = 10m = 10*3 = 30
So Lane has 3 years old and Mel has 30 years old.