Chipped toothed
Bit of a potato
Let's hope ya don't get fried
And the dentist on the phone
Answer:
a

b

Step-by-step explanation:
From the question we are told that
The mean value is 
The standard deviation is 
Considering question a
The sample size is n = 9
Generally the standard error of the mean is mathematically represented as

=>
=> 
Generally the probability that the sample mean hardness for a random sample of 9 pins is at least 51 is mathematically represented as



=> 
From the z table the area under the normal curve to the left corresponding to 2.5 is

=> 
=> 
Considering question b
The sample size is n = 40
Generally the standard error of the mean is mathematically represented as

=>
=> 
Generally the (approximate) probability that the sample mean hardness for a random sample of 40 pins is at least 51 is mathematically represented as

=> 
=> 
From the z table the area under the normal curve to the left corresponding to 5.2715 and
=> 
So

=> 
(0,7) would be located on the y axis
Area of the rectangle is equal to length times width
In function notation, the Area of the rectangle function is a function in variables l (length) and w(width) as follows:
A(l, w)= l*w
for A=475 we have,
l*w=475

or

, each are equivalent, and each represent the inverse variation.
Answer:

,
Answer:
0.8745.
Step-by-step explanation:
P(success) = 0.09 and P(failure) = 1 - 0.09 = 0.91.
P( at least 6 failures) = P( less than 2 successes)
= 7C0 (0.09)^0 (0.91)^7 + 7C1 (0.09)(0.91)^6
= 0.5168 + 0.3577
= 0.8745.