Two possible solutions are: (4.5, 8.5) and (8, 6.3)
<h3>How to graph the inequality?</h3>Let x represents hours dog walking and y represents hours washing cars.
So, we have:
Earnings = Rate of dog walk * x + Rate of car wash * y
This gives
Earnings = 7x + 11y
He wants to earn at least $125.
This means that:
7x + 11y ≥ 125
See attachment for the graph of the inequality
From the attached graph, two possible solutions are: (4.5, 8.5) and (8, 6.3)
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The theoretical probability that Chandra will be chosen as one of the science fair participants is 0.8 or 80%.
<h3>What is theoretical probability?</h3>Theoretical probability of an event is the ratio of number of favourable outcome to the total expected number of outcome of that event.
Five students, Adriana, Ben, Chandra, Diana, and Ernesto, would each like one of the four spots at the regional science fair.
Their names are placed in a hat, and four names are chosen at random to decide who attends the fair.
The total number of ways 4 names can be taken out from 5 names is,
.
Here one spot needs to be fixed for Chandra. Now the total number of outcome remain 4 and favourable outcome remain 3.
Thus, the number of ways 4 names can be taken out such that it contains the name Chandra is
.
The theoretical probability that Chandra will be chosen as one of the science fair participants is,
Thus, the theoretical probability that Chandra will be chosen as one of the science fair participants is 0.8 or 80%.
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