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avanturin [10]
3 years ago
15

a chimp is taking a multiple-choice test. of course the chimp can't read and is guessing for every question. if there are 4 choi

ces for each question, and there are 84 questions on the test, how many questions can we expect the chimp to answer correctly? (hint: there is a 25% chance that the chimp will guess correctly)​
Mathematics
1 answer:
stealth61 [152]3 years ago
3 0

Answer:

21 because there is a 1/4 chance and there are 84 questions, so 1/4 (25%) of 84 is 21.

Step-by-step explanation:

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The volume of a rectangular prism is 240 cubic centimeters. A rectangular pyramid has the same length, width, and height as the
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The volume of the pyramid is 80 cubic centimeters.

Step-by-step explanation:

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The lengths of the
Dmitrij [34]

Answer:

S_{\Delta ABC} = 4·S_{\Delta EDC}

Step-by-step explanation:

From the midpoint theorem, which states that the line that a line drawn such that it joins the midpoints of two sides of a triangle, is parallel to the third side of the triangle and is equal to half the length of the third side

Therefore, the lengths of the sides of ΔDEF, drawn by joining the midpoints of ΔABC is equal to half the length of and parallel to the corresponding side of ΔABC

We therefore, have that the corresponding sides of ΔABC and ΔDEF have a common ratio and a pair of sides in each triangle form same angles, therefore;

ΔDEF is similar to ΔABC by Side, Side, Side SSS similarity.

The length of the perimeter of ΔABC, S_{\Delta ABC} = 2 × The length of the perimeter of triangle ΔEDC, S_{\Delta EDC}

S_{\Delta ABC} = 2 ×  S_{\Delta EDC}

∴  S_{\Delta ABC}  ≠ 4 ×  S_{\Delta EDC}

The statement which is incorrect is therefore;

S_{\Delta ABC}  = 4 ×  S_{\Delta EDC}.

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What is the greatest common factor of 44c^5, 22c^3 and 11c^4
Alexxandr [17]

\text{ GCF of } 44c^5, 22c^3 , 11c^4 \text{ is } 11c^3

<em><u>Solution:</u></em>

Given that, we have to find the greatest common factor of 44c^5, 22c^3 , 11c^4

The greatest number that is a factor of two (or more) other numbers.

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor

\underline{\text{ GCF of } 44c^5, 22c^3 , 11c^4 :}

First find the GCF of numbers and then find the GCF of variables and then multiply them together

<em><u>Step 1: GCF of 44, 22 and 11</u></em>

The factors of 11 are: 1, 11

The factors of 22 are: 1, 2, 11, 22

The factors of 44 are: 1, 2, 4, 11, 22, 44

11 is the greatest factor that is common in above three list

Then the greatest common factor is 11

\text{ Step 2: GCF of }c^5, c^3 , c^4

c^5 = c^3 \times c^2\\\\c^3 = c^2 \times c^1 \text{ or } c^3\\\\c^4 = c^3 \times c^1

Thus the greatest common factor is c^3

Step 3: Multiply the GCF of 44, 22, 11 and GCF of c^5, c^3 , c^4

\text{ GCF of } 44c^5, 22c^3 , 11c^4 = 11 \times c^3 = 11c^3

Thus \text{ GCF of } 44c^5, 22c^3 , 11c^4 \text{ is } 11c^3

8 0
3 years ago
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