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Jlenok [28]
3 years ago
15

412 students were surveyed about their preferences of sports. 115 students like football, 100 students like baseball, and 45 stu

dents like both sports. How many students do not like football or baseball

Mathematics
1 answer:
Damm [24]3 years ago
3 0

Answer: 242 students do not like football or baseball

Step-by-step explanation:

The total number of students that were surveyed about their preferences of sports is 412. The Venn diagram is shown in the attached photo.

If 45 students like both sports, then the number of students that like football only would be

115 - 45 = 70

Also, the number of students that like baseball only would be

100 - 45 = 55

The number if students that like at least one of the sports is

70 + 55 + 45 = 170

Therefore, the number of students that do not like football or baseball would be

412 - 170 = 242

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<h2>Hello!</h2>

The answer is:

The second option,

(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }

<h2>Why?</h2>

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<h2>First option,</h2>

\sqrt[m]{x}\sqrt[m]{y}=\sqrt[2m]{xy}

The statement is false, the correct form of the statement (according to the property of roots) is:

\sqrt[m]{x}\sqrt[m]{y}=\sqrt[m]{xy}

<h2>Second option,</h2>

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The statement is true, we can prove it by using the following properties of exponents:

(a^{b})^{c}=a^{bc}

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<h2>Fourth option,</h2>

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Hence, the answer is, the statement that is true is the second statement:

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