Given mean = 0 C and standard deviation = 1.00
To find probability that a random selected thermometer read less than 0.53, we need to find z-value corresponding to 0.53 first.
z= 
So, P(x<0.53) = P(z<0.53) = 0.701944
Similarly P(x>-1.11)=P(z>-1.11) = 1-P(z<-1.11) = 0.8665
For finding probability for in between values, we have to subtract smaller one from larger one.
P(1.00<x<2.25) = P(1.00<z<2.25) = P(z<2.25)- P(z<1.00) = 0.9878 - 0.8413 = 0.1465
P(x>1.71) = P(z>1.71) = 1-P(z<1.71) = 1-0.9564 = 0.0436
P(x<-0.23 or x>0.23) = P(z<-0.23 or z>0.23) =P(z<-0.23)+P(z>0.23) = 0.409+0.409 = 0.918
The measure of angle m∠PZQ is 63degrees.
<h3>How to find an angle?</h3>
A point where two or more line segments meet is called a vertex.
The vertex point also forms an angle.
Therefore,
point P is in the interior of ∠OZQ,
Hence,
<OZQ = <OZP + m∠PZQ
The following angles are given:
m∠OZQ = 125°
m∠OZP = 62°
Substitute the given values into the expression above:
125 = 62 + m∠PZQ
m∠PZQ = 125 - 62
m∠PZQ = 63°
Therefore, the measure of the angle m∠PZQ is 63degrees
learn more on angles here: brainly.com/question/11000242
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Answer:
180 sq mm, 9 sq un, 8 sq un
Step-by-step explanation:
<u>Given</u>:
The satang coin from Thailand has a radius of about 7 mm.
We need to determine the diameter and circumference of the coin.
<u>Diameter of the coin:</u>
The diameter of the coin can be determined by multiply the radius by 2.
Thus, we have;
Substituting r = 7, we get;
Thus, the diameter of the coin is 14 mm.
<u>Circumference of the coin:</u>
The circumference of the coin can be determined using the formula,
Substituting 
and 
, we get;
Thus, the approximate value of the circumference of the coin is 43.96 mm
Answer:
Between 3 P.M. and 3:30 P.M the hour hand moves 15°.
Step-by-step explanation:
The rotation of the minute hand of a clock between 3 P.M. and 3:30 P.M. is from the the 12 hour mark to the 6 hour mark which is half of one complete cycle
One complete cycle of clock rotation = 360° = 12 hours
Therefore, the hour hand rotates 360/12 = 30° for each hour
Given that the time between 3 P.M. and 3:30 P.M. is 30 minutes = 1/2 an hour
The rotation of the hour hand between 3 P.M. and 3:30 P.M = Half the rotation for 1 hour
∴ The rotation of the hour hand between 3 P.M. and 3:30 P.M = 30°/2 = 15°
Between 3 P.M. and 3:30 P.M the hour hand moves 15°.
