Answer:
X= -15/7 
Step-by-step explanation:
search up on photomath it's really useful 
 
        
             
        
        
        
Using the product rule, we have

so that

The equation of the tangent line to <em>W(x)</em> at <em>x</em> = 7 has all the information we need to determine <em>m'</em> (7).
When <em>x</em> = 7, the tangent line intersects with the graph of <em>W(x)</em>, and
<em>y</em> = 4.5 + 2 (7 - 7)   ==>   <em>y</em> = 4.5
means that this intersection occurs at the point (7, 4.5), and this in turn means <em>W</em> (7) = 4.5.
The slope of this tangent line is 2, so <em>W'</em> (7) = 2.
Then

 
        
             
        
        
        
Answer:
(a) 0.5899
(b) 0.9166
Step-by-step explanation:
Let X be the random variable that represents the height of a woman. Then, X is normally distributed with  
 = 62.5 in
 = 62.5 in
 = 2.2 in
 = 2.2 in
the normal probability density function is given by  
 , then
, then
(a)  = 0.5899
 = 0.5899
    (in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2)
(b) We are seeking  where n = 37.
 where n = 37.  is normally distributed with mean 62.5 in and standard deviation
 is normally distributed with mean 62.5 in and standard deviation  . So, the probability density function is given by
. So, the probability density function is given by
 , and
, and
 = 0.9166
 = 0.9166
(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2/sqrt(37))
You can use a table from a book to find the probabilities or a programming language like the R statistical programming language.
 
        
             
        
        
        
your answer would be -25.078 
i hope this helps.!