The heights of the peach trees in an orchard are normally distributed with a mean of 12.5 feet and a standard deviation of 1.8 feet. what is the height of a peach tree with a z-score of −0.5 −0.5 ? enter your answer, rounded to the nearest tenth, in the box.

Mean = μ = 12.5

Standard deviation = σ = 1.8

z-score = - 0.5

Let the height of the Peach tree be x

Formula for Z -score = z =

Crossy multiply

z(σ) = x - μ

To find x add +μ on both sides

x = μ + z-score(σ)

x = 12.5 + (-0.5)(1.8)

x = 12.5 + (-0.9)

x= 12.5 - 0.9

x= 11.6 feet

So, the height of the Peach tree is 11.6 feet

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.