Answer:

Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of the circle minus the area of the two isosceles triangles
so
Find the area of the circle
The area of the circle is equal to

where r is the radius of the circle
In this problem we have

substitute


Find the area of the two triangles
The area of the two isosceles triangles is equal to
![A=2[\frac{1}{2}bh]=bh](https://tex.z-dn.net/?f=A%3D2%5B%5Cfrac%7B1%7D%7B2%7Dbh%5D%3Dbh)
we have


substitute

Find the area of the shaded region

Answer: 0.2551
Step-by-step explanation:
Given : The temperature reading from a thermocouple placed in a constant-temperature medium is normally distributed with mean μ, the actual temperature of the medium, and standard deviation σ.
Significance level : 
The critical z-value for 95% confidence :
(1)
Since ,
(where x be any random variable that represents the temperature reading from a thermocouple.)
Then, from (1)
(2)
Also, all readings are within 0.5° of μ,
i.e. 
i.e.
[From (2)]
i.e.
i.e.
The required standard deviation : 
Answer:
It represents a mosquito that flew very fast after feeding relative to all other mosquitoes.
Step-by-step explanation:
The point is unusual because the velocity of the mosquito is substantially greater than all other velocities and is probably an outlier.
Answer:

Step-by-step explanation:
we know that
The scale factor on a map is equal to

so
by proportion
Find how many miles are in the real life
inches apart on the map
