The weights of the fish in a certain lake are normally distributed with a mean of 10.1 lb and a standard deviation of 2.9 lb. If 32 fish are randomly selected, what is the probability that the mean weight will be more than 10.9 lb? Express the answer as a percentage rounded to the nearest hundredth without the % sign.

 5.94%

Step-by-step explanation:

Let X be the random variable that represents the weights of the fish.

Given: Weights of the fish in a certain lake are normally distributed with a mean of 10.1 lb () and a standard deviation of 2.9 lb ().

sample size : n= 32

The probability that the mean weight will be more than 10.9 lb:

Hence, the required probability = 5.94%.

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

4 packs of water and 7 packs of candy bars

step-by-step explanation:

35x4=140

140/20=7