Answer:
The 99% confidence interval of the population standard deviation is 1.7047 < σ < 7.485
Step-by-step explanation:
Confidence interval of standard deviation is given as follows;
s =
Where:
= Sample mean
s = Sample standard deviation
n = Sample size = 7
χ = Chi squared value at the given confidence level
= ∑x/n = (62 + 58 + 58 + 56 + 60 +53 + 58)/7 = 57.857
The sample standard deviation s = = 2.854
The test statistic, derived through computation, = ±3.707
Which gives;
1.7047 < σ < 7.485
The 99% confidence interval of the population standard deviation = 1.7047 < σ < 7.485.
A. ∠4 is congruent to ∠5; True.
B. Two lines are parallel; True.
C. The measure of ∠6 = 90.5°; False.
D. ∠2 and ∠3; True.
<h3>What are the properties of angles of parallel lines?</h3>
- On a common plane, two parallel lines do not intersect.
- As a result, the characteristics of parallel lines with respect to transversals are given below.
- Angles that correspond are equal.
- Vertical angles are equal to vertically opposite angles.
- Interior angles that alternate are equal.
- The exterior angles that alternate are equal.
For the give question;
Two line are cut by the transversal.
∠1 = 90.5° and ∠7 = 89.5°
Thus the result for the given statement are-
A. ∠4 is congruent to ∠5 because they are alternate interior angles; True.
B. Two lines are parallel; True.
C. The measure of ∠6 = 90.5°; False.
∠6 = ∠7 = 89.5°.(correct)
D. ∠2 and ∠3 are supplementary because they are same-side exterior Angeles; True.
Thus, the result for the given statement are found.
To know more about the parallel lines, here
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Answer:
The correct option is C. About 1 on the side with the 1 on top and 4 on the bottom yard.
Step-by-step explanation:
Consider the provided information.
Simone measures the width of one of cardboard strip as 1/2 yard.
A second cardboard strip measures 5/6 yard in width.
We need to find the combined width.
The combined width of the cardboard strip:
is closer to as compare to
Hence, the correct option is C. About 1 on the side with the 1 on top and 4 on the bottom yard.
I hope this helps you
Area =3/4.5/12
Area =5/4.4
Area =5/16
Answer:
Each $148 = 1 pound.
Step-by-step explanation: