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Marizza181 [45]
3 years ago
12

Two girls, Lexia and Petrina, and three boys, Roje, Ethan, and Kamari, play catch. When a girl throws the ball, she throws it to

the other girl or to a boy. When a boy throws the ball, he always throws it to another boy, but not to the one who threw it to him. Lexia begins by throwing the ball to Roje. Who will make the fifth throw?
a.Kamari
b.Roje
c.Ethan
d.Petrina
e.Lexia
Mathematics
1 answer:
Studentka2010 [4]3 years ago
7 0

Answer:

Ethan

Step-by-step explanation:

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\displaystyle
|\Omega|=\binom{20}{4}=\dfrac{20!}{4!16!}=\dfrac{17\cdot18\cdot19\cdot20}{2\cdot3\cdot4}=4845\\
|A|=\binom{10}{4}=\dfrac{10!}{4!6!}=\dfrac{7\cdot8\cdot9\cdot10}{2\cdot3\cdot4}=210\\\\
P(A)=\dfrac{210}{4845}=\dfrac{14}{323}\approx4.3\%
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Joan found a large metal bar that weighed 36 grams. Joan was also able to determine that the bar had 18 grams of zinc. What perc
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Answer:

The weight of the zinc in the metal bar was 50% of the weight of the metal bar .

Step-by-step explanation:

Weight of the metal bar ,M= 36 g

Weight of the zinc in the metal bar , m= 18 g

Percentage of zinc in the metal bar :

=\frac{m}{M}\times 100

=\frac{18 g}{36 g}\times 100=50\%

The weight of the zinc in the metal bar was 50% of the weight of the metal bar .

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A bakery bakes 4 dozen loaves of bread every 18 hours. Find the unit rate to the nearest hundredth.​
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A Washington-based nonprofit research group recently released a report indicating that 60% of government workers acknowledge wit
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Answer:

<em>The probability  that a randomly selected government worker witnessed a violation of ethical standards, policies or laws in the past year but did not report it is </em><em>0.3</em>

Step-by-step explanation:

The outcome of the Washington- based nonprofit research group are that -

  • P (60)  -60% of government workers acknowledge witnessing violations of ethical standards, policies, or laws in the past year;
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  • P (10) - An additional 10% of government workers acknowledged making false reports of violations of ethical standards, policies or laws when they did not actually occur.

∴ P(60%) + P(10%) =  P(70) which is Probability of those that are involved in one form of violations or the other.

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