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exis [7]
3 years ago
9

A class of 12 girls and 14 boys is going to choose 3 students to represent them in student government. Allie suggested that the

first 3 students to arrive in class the next day should be the representatives. Bobby suggested that each student roll 2 numbers cubes and the 3 students with the highest sum should be the representatives. Whose method would result in a fair sample that represents the class population, and why?.
Mathematics
2 answers:
Vikki [24]3 years ago
8 0
<h2>Answer:</h2>

The method suggested by Bobby is better than Allie.

<h2>Step-by-step explanation:</h2>

A fair sample is a sample where each sample has an equal opportunity to get selected for any survey.

Here, in the given question, Allie suggested that the first 3 students to arrive in class the next day should be the representatives. This sample is not random or fair.

Whereas, Bobby suggested that each student roll 2 numbers cubes and the 3 students with the highest sum should be the representatives. This method is a fair method.

The method suggested by Bobby is better than Allie as every student will get an equal chance to perform and also has an equal chance to win and get a high sum.

ipn [44]3 years ago
4 0

Answer:

Bobby, because every student has an equal chance to get a high sum

Explanation:

Allie suggesting that the first 3 students to arrive in class the next day should be the representatives would not result in a fair sample because not everyone would have the chance to get to school early enough.Bobby suggesting that each student roll 2 numbers cubes and the 3 students with the highest sum should be the representatives would result in a fair sample because everyone would get a chance to roll the number cubes.

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Mr. Wilson invested money in two accounts. His total investment was $20,000. If one account pays 5% in interest and the other pa
blagie [28]

a = amount invested at 5%

b = amount invested at 2%

now, we know the total invested by Mr Wilson was 20000, so whatever "a" and "b" might be, we know that a + b = 20000.

a + b = 20000\implies b = 20000-a \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{5\% of a}}{\left( \cfrac{5}{100} \right)a}\implies 0.05a~\hfill \stackrel{\textit{2\% of b}}{\left( \cfrac{2}{100} \right)a}\implies \begin{array}{llll} 0.02b\\\\ \stackrel{substituting}{0.02(20000-a)} \end{array}

now, we know the total of earned interest is 550 bucks, so then

0.05a~~ + ~~0.02(20000-a)~~ = ~~550\implies 0.05a+400-0.02a=550 \\\\\\ 0.03a+400=550\implies 0.03a=150\implies a=\cfrac{150}{0.03}\implies a=5000 \\\\\\ ~\hspace{24em}\stackrel{20000~~ - ~~5000}{b=15000}

5 0
1 year ago
Bicycle license plates in Flatville each contain three letters. The first is chosen from the set ({C,H,L,P,R}) the second from (
amm1812
5\cdot3\cdot4=60 - the current possible number of plates

after adding 2 letters into the 1st set:
7\cdot3\cdot4=82
after adding 2 letters into the 2nd set:
5\cdot5\cdot4=100
after adding 2 letters into the 3rd set:
5\cdot3\cdot6=90
after adding 1 letter into the 1st set and 1 into the 2nd set:
6\cdot4\cdot4=96
after adding 1 letter into the 1st set and 1 into the 3rd set:
6\cdot3\cdot5=90
after adding 1 letter into the 2nd set and 1 into the 3rd set:
5\cdot4\cdot4=80

<span>The largest possible number of plates after adding two numbers is 100.
So, </span><span>the largest possible number of additional plates is 100-60=40</span>
7 0
3 years ago
What is the slop of a line that is perpendicular to the line y= 1/6 x + 4?
Kay [80]
Y = 1/6x + 4....the slope here is 1/6. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign.
So the slope of a perpendicular line will be -6/1 or just -6...see how I flipped the slope and changed the sign.
6 0
3 years ago
MO is twice as long as MN. NO= 36 cm. What lengths must NM be between in order for MNO to be formed?
Nataliya [291]

Answer:

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Step-by-step explanation:

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The line MNO has point N, that bisect it into two equal half.

Thus, the line MNO has two parts

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I just had this question on a test and the answer is 95.05
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