et Linda 16 a) 10x9 16x15 c) mp +ет (1/16 x 6/16) 60+1 24C 20+6+2 = 128 90 90 OC x+3 Բ 4 00 B x+3 30+4 50-1 B 30+3 1. There are x apples in a crate. 3 of the apples are bad. B P(BB) (*7/14)* (30-13)*3 (002-00) oc² + 7x0 +12 L 3(002-00) = 1(00 3002-300 = x² -x 2002-1000 12 Probability 2 x²-8x 100-6, Robert chooses two apples from the crate, without replacement The probability that he selects two bad apples is 1/12 (a) Using the tree diagram, prove x2-x-72 = 0 (b) Find the number of apples in the crate, x. (c) Find the probability that both apples are good 2. There are n counters in a bag. 8 of the counters are red and the rest are blue. Adam takes a counter from the bag at random and does not replace it. He then takes another counter at random from the bag. The probability that Adam takes two blue counters is (a) Show that n² - 21n + 90 = 0 (b) Find the value of n. (5) (2) (7 marks)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 91E
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Related questions
Question
et Linda
16
a) 10x9
16x15
c) mp +ет
(1/16 x 6/16)
60+1
24C
20+6+2 = 128
90 90
OC
x+3
Բ
4
00
B x+3
30+4
50-1
B
30+3
1. There are x apples in a crate.
3 of the apples are bad.
B
P(BB)
(*7/14)* (30-13)*3
(002-00)
oc² + 7x0 +12
L
3(002-00) = 1(00
3002-300 = x²
-x
2002-1000
12
Probability
2
x²-8x
100-6,
Robert chooses two apples from the crate, without replacement
The probability that he selects two bad apples is 1/12
(a) Using the tree diagram, prove x2-x-72 = 0
(b) Find the number of apples in the crate, x.
(c) Find the probability that both apples are good
2. There are n counters in a bag.
8 of the counters are red and the rest are blue.
Adam takes a counter from the bag at random and does not replace it.
He then takes another counter at random from the bag.
The probability that Adam takes two blue counters is
(a) Show that n² - 21n + 90 = 0
(b) Find the value of n.
(5)
(2)
(7 marks)
Transcribed Image Text:et Linda 16 a) 10x9 16x15 c) mp +ет (1/16 x 6/16) 60+1 24C 20+6+2 = 128 90 90 OC x+3 Բ 4 00 B x+3 30+4 50-1 B 30+3 1. There are x apples in a crate. 3 of the apples are bad. B P(BB) (*7/14)* (30-13)*3 (002-00) oc² + 7x0 +12 L 3(002-00) = 1(00 3002-300 = x² -x 2002-1000 12 Probability 2 x²-8x 100-6, Robert chooses two apples from the crate, without replacement The probability that he selects two bad apples is 1/12 (a) Using the tree diagram, prove x2-x-72 = 0 (b) Find the number of apples in the crate, x. (c) Find the probability that both apples are good 2. There are n counters in a bag. 8 of the counters are red and the rest are blue. Adam takes a counter from the bag at random and does not replace it. He then takes another counter at random from the bag. The probability that Adam takes two blue counters is (a) Show that n² - 21n + 90 = 0 (b) Find the value of n. (5) (2) (7 marks)
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