Exercise 1 Suppose you take a trip to Curtis Orchard where there are over 30 types of apples. You are interested in the Ambrosia and Winesap apples. Assume the following: All apples at Curtis Orchard are exactly normally distributed. The weight of the Ambrosia apples is normally distributed with a mean of grams and a standard deviation of grams. Let be the weight of a randomly selected Ambrosia apple. The weight of the Winesap apples is normally distributed with a mean of grams and a standard deviation of grams. Let be the weight of a randomly selected Winesap apple. a. (1pt) Suppose you pick Ambrosia apples at random. Assuming independence, what is the probability that that the total weight of the applies is less than grams?

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

it is rigid.; it is isometric. ; the size is preserved.

step-by-step explanation:

a translation is called an isometry; these are transformations that preserve congruence between pre-images and images.

they are also called rigid transformations, as the only thing that can happen to a pre-image is that it is moved or turned, not stretched or shrunk.

since congruence is preserved, the size is preserved.

the diagram shows you   triangle def with de=4, df=9 and de≠df≠ef.

the sum of the lengths of two triangles' sides are always greater than the length of the third side:

substitute sides lengths:

then 5< ef< 13 (option 3 is true).

def is a scalene triangle with all sides of different lengths (option 5 is true, option 2 is false).

answer: correct choices are 1, 3 and 5