P is the incenter of ΔXYZ. If PY = 35 and JY = 28, find LP.
2 answers:
Answer: The correct option is (D) 21.
Step-by-step explanation: Given that the point P is an incenter of ΔXYZ. Also, PY = 35 and JY = 28.
We are to find the length of LP.
Since PJ is perpendicular to teh side YZ, so the triangle PJY will be a right-angled triangle with PY as the hypotenuse.
Using Pythagoras theorem in triangle PJY, we have
Since the distance from the incenter of a triangle to all the three sides are equal, so we get
LP = PJ = 21 units.
Option (D) is CORRECT.
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The frequency table is attached.
Since there were 30 people out of the 60 that received cold medicine, that means that 60-30=30 people did not.
Since 26 people had a cold longer than 7 days, this means 60-26=34 had a cold that was less than or equal to 7 days.
14 people had a cold longer than 7 days and received medicine; this means that 26-14=12 people had a cold longer than 7 days and did not receive medicine.
30-14=16 people received medicine and had a cold less than or equal to 7 days.
30-12=18 people did not receive medicine and had a cold less than or equal to 7 days.
Since there were 30 people out of the 60 that received cold medicine, that means that 60-30=30 people did not.
Since 26 people had a cold longer than 7 days, this means 60-26=34 had a cold that was less than or equal to 7 days.
14 people had a cold longer than 7 days and received medicine; this means that 26-14=12 people had a cold longer than 7 days and did not receive medicine.
30-14=16 people received medicine and had a cold less than or equal to 7 days.
30-12=18 people did not receive medicine and had a cold less than or equal to 7 days.
Answer:
Step-by-step explanation:
(a) H0: μ_D=0
Ha: μ_D ≠ 0
b) Find attached the solution
(c) By technology,
p - value = 0.4437
Hence, the p-value is 0.4437
