Acompany interested in lumbering rights for a certain tract of slash pine trees is told that the mean diameter of these trees is 19 inches with a standard deviation of 2.3 inches. assume the distribution of diameters is roughly mound-shaped. (a) what fraction of the trees will have diameters between 14.4 and 25.9 inches? 0.75 incorrect: your answer is incorrect. (b) what fraction of the trees will have diameters greater than 21.3 inches?

97.5 %

15.7 %

Step-by-step explanation:

= Mean = 19

= Standard deviation = 2.3

a)

From the empirical rule we get that the percentage of trees between 14.4 and 25.9 inches is 13.6+34.1+34.1+13.6+2.1 = 97.5 %

b)

The fraction of tree under 21.3 inches is 34.1.

Hence the fraction of trees above the diameter of 21.3 inches is 13.6+2.1 = 15.7 %

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9

the answer for this question is a= 13,622.84

step-by-step explanation: