**Mr. and Mrs. Frank's Landscaping Choices**Mr. and Mrs. Frank just moved into a new home and need to do some landscaping. They are going to purchase one tree, one shrub, and one lilac bush at random from the list to the right. Use this list to complete parts a) through c).| Tree | Shrubs | Lilac Bushes ||-------|----------|--------------|| Oak (O) | Gold Mop (G) | Primrose (P) || Elm (E) | Holly (H) | Tinkerbelle (T)|| Birch (B) | | |### a) Determine the number of sample points in the sample space.- The number of points in the sample space is **18**.### b) Construct a tree diagram and determine the sample space.(The tree diagram is given but not visible in detail. It would show branching paths for each tree selection leading to each shrub selection, and then from each shrub selection to each lilac bush selection.)#### Determine the sample space. Choose the correct answer below:``` A. O, E, B, G, H, P, T B. GP, GT, HP, HT C. EHP, EHT, BGP, BGT, BHP, BHT D. OGP, OGT, OHP, OHT, EGP, EGT, EHP, EHT, BGP, BGT, BHP, BHT ``` - The correct answer is **D. OGP, OGT, OHP, OHT, EGP, EGT, EHP, EHT, BGP, BGT, BHP, BHT**.### c) Determine the probability that the Franks select a birch tree.- The probability is **1/3**. (Simplified answer)

TreeShrubsLilac BushesOak (O)Gold Mop (G)Primrose (P)Elm (E)Holly (H)Tinkerbelle (T)Birch (B)

Tree Mr. and Mrs. Frank just moved into a new home and need to do some landscaping. They are going to purchase one tree, one shrub, and Oak (0) one lilac bush at random from the list to the right. Use this list to complete parts a) through e). Elm (E) Birch (8) Shrubs Lilac bushes Gold Mop (G) Primrose (P) Holly (H) Tinkerbelle (T) a) Determine the number of sample points in the sample space. The number of points in the sample space is b) Construct a tree diagram and determine the sample space. Construct a tree diagram. Determine the sample space. Choose the correct answer below. OA. O, E, B, G, H, P. T OB. GP. GT. HP, HT OC. EHP, EHT, BGP, BGT, BHP, BHT OD. OGP, OGT, OHP, OHT, EGP. EGT, EHP, EHT, BGP, BGT, BHP, BHT c) Determine the probability that the Franks select a birch tree The probability is (Simplify your answer.) ELOD

Tree Mr. and Mrs. Frank just moved into a new home and need to do some landscaping. They are going to purchase one tree, one shrub, and Oak (0) one lilac bush at random from the list to the right. Use this list to complete parts a) through e). Elm (E) Birch (8) Shrubs Lilac bushes Gold Mop (G) Primrose (P) Holly (H) Tinkerbelle (T) a) Determine the number of sample points in the sample space. The number of points in the sample space is b) Construct a tree diagram and determine the sample space. Construct a tree diagram. Determine the sample space. Choose the correct answer below. OA. O, E, B, G, H, P. T OB. GP. GT. HP, HT OC. EHP, EHT, BGP, BGT, BHP, BHT OD. OGP, OGT, OHP, OHT, EGP. EGT, EHP, EHT, BGP, BGT, BHP, BHT c) Determine the probability that the Franks select a birch tree The probability is (Simplify your answer.) ELOD

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.2: Systems Of Linear Equations In Two Variables

Problem 38E

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