Complete question is;
RS is the perpendicular bisector of PQ . Point T is the midpoint of PQ. Point U lies on RS. If the length of UP is 7 units, the length of UQ is ______ units.
Triangle is attached
Answer:
UQ = 7 Units
Step-by-step explanation:
From the image attached, we can see that;
T is the midpoint of PQ
Thus;
PT = TQ
Since RS is perpendicular to PQ, then we can say that;
∠PTU = ∠QTU
Now, from SAS congruence theorem, we can say that;
△PTU = △QTU
Thus, from corresponding sides of both triangles, we can say that;
UP = UQ
Thus,
UQ = 7 Units
8^2 is 64, and 6+4=10 which is even
Answer:
A sample size of 385 is needed.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
That is z with a pvalue of 
, so Z = 1.96.
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
You feel that a reasonable estimate of the standard deviation is 10.0 hours.
This means that 
What sample size is needed so that the expected margin of error of your estimate is not larger than one hour for 95% confidence?
A sample size of n is needed. n is found when M = 1. So
Rounding up:
A sample size of 385 is needed.
Step-by-step explanation:
Diameter of pizza = 12 inch
Therefore, radius r = 6 inch
