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drakkeo
07.04.2021 •
Mathematics
A coin toss is used to determine which team will receive the ball at the beginning of a football game. The Cougars always choose tails in the toss. What are the odds in favor of the Cougars losing the toss in exactly two of three games? A. 3:5 B. 3:8 C. 5:3 D. 8:3
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Ответ:
a.![3+\frac{x}{2} =8](/tpl/images/0017/5901/ab482.png)
b. x = 10
Step-by-step explanation:
a. The number of home runs hit by Jack last season = x
It is given that Henry hit 3 more than half as many home runs as Jack hit.
Half of the runs hit by Jack =![\frac{x}{2}](/tpl/images/0017/5901/2a5b2.png)
3 more than half the runs =![3+\frac{x}{2}](/tpl/images/0017/5901/fc374.png)
So, the number of home runs hit by Henry =![3+\frac{x}{2}](/tpl/images/0017/5901/fc374.png)
But, it is given that Henry hit a total of 8 runs.
Therefore,![3+\frac{x}{2} =8](/tpl/images/0017/5901/ab482.png)
b.![3+\frac{x}{2} =8](/tpl/images/0017/5901/ab482.png)
Subtract 3 from both sides.
= 5
x = 5 × 2
= 10
Hence, Jack hit 10 runs in the last season.