A bookshelf can hold a maximum of 45 books. Let b represents the number of books to be shelved. Which inequality represents how
1 answer:
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The answer is: " 17.35 " .
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→ The circumference of the circle is: " 17.35 units " .
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The area, "A", of a circle:
A = * r² ;
Note: .
The area of the circumference, "C", of a circle:
C = 2 r .
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Given:
A = 24 ;
Use the formula for the area, "A" of a circle, to find the radius, "r" .
Then, plug the value obtained for "r" into the formula for the circumference, "C" , of a circle:
C = 2 r l
To solve for the circumference, "C", of the circle.
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A = ;
24 = 3.14 * r² ;
↔ 3.14 * r² = 24 ;
Divide each side of the equation by "(3.14)" ;
[3.14 * r²] / 3.14 = (24) / (3.14) ;
to get:
→ r² = 7.64331210191 ;
Take the positive square root of each side of the equation;
to isolate "r" on one side of the equation; & to solve for the radius, "r" ;
→ ⁺√(r²) = ⁺√(7.64331210191) ;
to get:
→ r = 2.76281034802 ;
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Now, plug this "obtained value" for the radius, "r" into the equation for the formula for the circumference, "C" of a circle:
→ C = 2 * r ;
to solve for the circumference, "C", of the circle:
→ C = 2 * (3.14) * (2.76281034802) ;
= (6.28) * (2.76281034802) ;
= 17.3504489856 ;
→ round to: " 17.35 units" .
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The answer is: " 17.35 " .
__________________________________
→ The circumference of the circle is: " 17.35 units " .
__________________________________
Answer:
Option <em>B</em> is not the most common correct choice.
Step-by-step explanation:
The multiple-choice questions on Advanced Placement exams have five options: A, B, C, D, and E.
The probability that any of these five option is the correct answer is:
A random sample of 400 multiple-choice questions on Advanced Placement exam are selected.
The results showed that 90 of the 400 questions having B as the answer.
To test the hypothesis that option B is more likely the correct answer for most question, the hypothesis can be defined as:
<em>H₀</em>: All the options are equally probable, i.e. <em>p</em> = 0.20.
<em>Hₐ</em>: Option B is more likely the correct option, i.e. <em>p</em> > 0.20.
Compute the sample proportion as follows:
The test statistic is:
The test statistic is 1.25.
Decision rule:
If the <em>p</em>-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.
Compute the <em>p</em>-value as follows:
*Use a <em>z</em>-table.
The <em>p</em>-value is 0.1057.
The <em>p</em>-value of the test is quite large. Thus, the null hypothesis was failed to rejected.
Hence, it can be concluded that option <em>B</em> is not the most common correct choice.