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ollegr [7]
3 years ago
9

a. Find the probability of randomly selecting a student who spent the money, given that the student was given four quarters. The

probability is . (Round to three decimal places as needed.) b. Find the probability of randomly selecting a student who kept the money, given that the student was given four quarters. The probability is . (Round to three decimal places as needed.) c. What do the preceding results suggest?

Mathematics
1 answer:
Anastaziya [24]3 years ago
8 0

Answer:

Hello  your questions is incomplete attached below is the missing part of the question

answer : A )  0.647 ,  (B) 0.353,  (C) students are more likely to spend the money than to have kept it

Step-by-step explanation:

from the attached table below

Given data :

Total number of students = Number of students who spent money + number of students who kept money

Total number of students = (33+13 ) + (18 + 27 ) =  91

p(Number of students given four quarters) = (33 +18 ) / 91 = 51/91

p( number of students who spent money ) = ( 33 +13 ) / 91 = 46/91

p( number of students who saved money ) = (18 +27 ) / 91 = 45 /91

p( number of students who spent money and given four quarters ) = 33/91

p( number of students who saved money and given four quarters ) = 18/91

A) The probability of randomly selecting a student who spent the money and also given four quarters

= p ( 33/91 | 51/91 )

= 33/91 * 91/51

= 33/51 = 0.647

B ) The probability of randomly selecting a student who kept the money and given that the student was given four quarters

= p ( 18/91 | 51/91 )

= 18/91 * 91/51

= 18 /51 = 0.353

C) students are more likely to spend the money than to have kept it

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The right triangles that have an altitude which forms two right triangles

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ΔKJM ~ ΔLKM

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∠JKL ≅ ∠JMK All 90° angles are congruent

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∠JLK ≅ ∠JLK by reflexive property

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By the property of equality for triangles that have equal interior angles, we have;

  • <u>ΔKJM ~ ΔLKM</u>

2. ∠YWZ ≅ ∠YWZ by reflexive property

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  • <u>ΔYWZ is similar to ΔZWX</u>, by AA similarity postulate

∠XYZ ≅ ∠WYZ by reflexive property

∠YXZ ≅ ∠YZW all 90° are congruent

  • <u>ΔYWZ is similar to ΔYZW</u> by AA similarity postulate

Therefore;

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From the similar triangles, we have;

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The geometric mean of 16 and 27 is therefore;

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<u />

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Learn more about the AA similarity postulate and geometric mean here:

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