Is the quotient for 277.2 / 0.7 greater than or less than 277.2? Explain.
1 answer:
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We will be using the binomial probability formula to solve the problem
The formula is given by ⁿCₓ (p)ˣ (1-p)ⁿ⁻ˣ
Where:
n = the number of trials = 100
x = the number of samples we are trying on = 3
p = the probability of success = 2% = 0.02
We can either calculate ⁿCₓ by using the scientific calculator using the
button or by doing it manually use 
P(3) = ¹⁰⁰C₃ (0.02)³ (1 - 0.02)¹⁰⁰⁻³
P(3) = ¹⁰⁰C₃ (0.02)³ (0.98)⁹⁸
P(3) = 0.182 (rounded to three decimal places)
Correct answer: option 3
The formula is given by ⁿCₓ (p)ˣ (1-p)ⁿ⁻ˣ
Where:
n = the number of trials = 100
x = the number of samples we are trying on = 3
p = the probability of success = 2% = 0.02
We can either calculate ⁿCₓ by using the scientific calculator using the
P(3) = ¹⁰⁰C₃ (0.02)³ (1 - 0.02)¹⁰⁰⁻³
P(3) = ¹⁰⁰C₃ (0.02)³ (0.98)⁹⁸
P(3) = 0.182 (rounded to three decimal places)
Correct answer: option 3
Sarah bought 3 first class tickets and 7 coach tickets.
Step-by-step explanation:
Given,
Number of people = 10
Total amount spent on tickets = $4830
Cost of each coach ticket = $270
Cost of each first class ticket = $980
Let,
x be the number of coach tickets
y be the number of first class tickets
According to given statement;
x+y=10 Eqn 1
270x+980y=4830 Eqn 2
Multiplying Eqn 1 by 270
Subtracting Eqn 3 from Eqn 2
Dividing both sides by 710
Putting y=3 in Eqn 1
Sarah bought 3 first class tickets and 7 coach tickets.
Keywords: linear equation, elimination method
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