How many pounds a statistician can bench press is normally distributed with a mean of 139 and standard deviation of 46. If Scott can bench 145 pounds, approximately what percentage of statisticians can bench more than Scott

The percentage is  

Step-by-step explanation:

From the question we are told that

   The  mean is  

   The standard deviation is  

   The weight Scott can bench is  x =  145 pounds

Generally the percentage of statisticians that can bench more than Scott is mathematically represented as

 =>  

From the z table  

The area under the normal curve to the right corresponding to 0.13043  is  

=>  

Converting to percentage

=>  

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

irrational, then, just means all the numbers that aren't rational. every integer is a rational number, since each integer n can be written in the form n/1. however, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

step-by-step explanation: