The circle is inscribed in triangle PRT. A circle is inscribed in triangle P R T. Points Q, S, and U of the circle are on the si
2 answers:
Option B:
Option C: The length of line segment PR is 13 units.
Explanation:
Given that the circle is inscribed in triangle PRT. Points Q, S, and U of the circle are on the sides of the triangle. Point Q is on side P R, point S is on side R T, and point U is on side P T.
The length of RS is 5, the length of PU is 8 and the length of UT is 6.
Option A: The perimeter of the triangle is 19 units.
The perimeter of the triangle is given by
Perimeter of ΔPRT = PU + UT + TS + SR + RQ + QP
Since, P, T and R are tangents to the circle and we know that "Tangents to a circle drawn to a point outside the circle are equal in length".
Thus, we have,
RS = RQ = 5
PU = PQ = 8 and
UT = TS = 6
Substituting the values in the perimeter of ΔPRT, we get,
Perimeter of ΔPRT = 8 + 6 + 6 + 5 + 5 + 8 =38 units
Thus, the perimeter of the triangle is 38 units.
Hence, Option A is not the correct answer.
Option B :
Since, P, T and R are tangents to the circle and we know that "Tangents to a circle drawn to a point outside the circle are equal in length".
Then
Hence, Option B is the correct answer.
Option C: The length of line segment PR is 13 units.
The length of PR is given by
PR = PQ + QR
Substituting the values RQ = 5 and PQ = 8, we get,
PR = 5 + 8 = 13 units
Thus, the length of line segment PR is 13 units.
Hence, Option C is the correct answer.
Option D: The length of line segment TR is 10 units.
The length of TR is given by
TR = TS + SR
Substituting the values TS = 6 and SR = 5, we get,
TR = 6 + 5 = 11 units
Thus, the length of line segment TR is 11 units
Hence, Option D is not the correct answer.
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Answer:
Step-by-step explanation:
Hello!
The variable is X: iron level on human blood.
It has a mean of μ= 51.50 mg/dl and a standard deviation of σ= 3.50 mg/dl.
According to the control chart, the process should be shut down for troubleshooting when the analysis shows values X[bar]≥ 53.42 mg/dl and X[bar]≤ 49.58 mg/dl
Warnings are received at levels X[bar]≥52.78 mg/dl and X[bar]≤ 50.22 mg/dl
The system works between levels 49.58<X[bar]<53.42 and works without warnings between 50.22<X[bar]<52.78.
Using these parameters you have to analyze if the lists of sample means to see which ones are within the working values are wich ones are outside this interval.
<u>Sample 1</u>
Min= 50.15
Max= 51.99
Mean= 51.61
Without warning 50.22<X[bar]<52.78
Without Action interval 49.58<X[bar]<53.42
<em>This sample's min value is below the lower limit of the warning interval but not low enough to reach action levels, the max value is within the working range.</em>
<em><u /></em>
<u>Sample 2 </u>
Min= 50.32
Max= 52.56
Mean= 51.16
Without warning 50.22<X[bar]<52.78
Without Action interval 49.58<X[bar]<53.42
<em>Both the max and min values of the sample are within the working range without warning.</em>
<em />
<u>Sample 3</u>
Min= 50.25
Max= 53.12
Mean= 51.83
Without warning 50.22<X[bar]<52.78
Without Action interval 49.58<X[bar]<53.42
<em>The max value of this sample is above the upper limit of the warning interval but does not surpass the upper bond of the troubleshoot interval. Min value is within working values.</em>
<em />
<u>Sample 4</u>
Min= 50.05
Max= 53.01
Mean= 51.70
Without warning 50.22<X[bar]<52.78
Without Action interval 49.58<X[bar]<53.42
<em>Both min and max values surpass the warning interval but do not reach action levels</em>.
<u>Sample 5</u>
Min= 50.35
Max= 52.71
Mean= 51.37
Without warning 50.22<X[bar]<52.78
Without Action interval 49.58<X[bar]<53.42
<em>Both min and max values are within working levels without warnings.</em>
<em />
Considering that samples reaching warning levels should be shut down as a precaution, they are classified as:
Shutdown: Sample 1, 3 and 4
Do not shutdown: Sample 2 and 5.
I hope it helps!
