Darryl:
Answer:
A = $1,905.00
(I = A - P = $405.00)
Equation:
A = P(1 + rt)
Lori:
Answer:
A = $1,932.00
(I = A - P = $532.00)
Equation:
A = P(1 + rt)
Thus $532-$405= $127 more in Lori's account
The linear equation of relating two objects can be written in the form,
y = ax + b
Our x is the number of passenger and y is the weight (in tons). Using the first two conditions,
10 = 60(a) + b
13 = 84(a) + b
The values of a and b from the equations are 0.125 and 2.5.
For 50-passenger bus,
y = (50)(0.125) + 2.5
The value of y is 8.75.
Let x be the discrete random variable whose value is the number of successes in n trials.
The probability distribution function for x of the binomial distribution B(n,p) is defined as
Given that the random sample size is 
let x represent number of customers who purchase running shoes
Let "p" be the probability of customers in a sporting goods store purchase a pair of running shoes.
It is given that 70% of the customers in a sporting goods store purchase a pair of running shoes.
Thus 
Thus the Probability distribution of x is given by
, where 
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Given Information
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Total number of people = 165
Adult = $6
Child = $2
Total collected = $618
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Assumptions
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Let x be the number of adults and y be the number of children
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Form equations
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Total number of people
x + y = 165
Total amount collected
6x + 2y = 618
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Ans: The two equations are x + y = 165 and 6x + 2y = 618
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The question is not asking for it but if you need to solve the equation to find the answer to x and y
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Present the two equations and solve for x and y
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x + y = 165 ------------------------- (eqn 1)
6x + 2y = 618 ------------------------- (eqn 2)
(eqn 1) :
x + y = 165
x = 165 - y ------------------------- substitute into (eqn 2)
6(165 - y) + 2y = 618
990 - 6y + 2y = 618
4y = 990 - 618
4y = 372
y = 93 ------------------------- substitute into (eqn 1)
x + y = 165
x + 93 = 165
x = 165 - 93
x = 72
x = 72 and y = 93
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Ans: 72 adults and 93 children
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