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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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ziro4ka [17]
Slope = (y2 - y1)/(x2 - x1) = (-1 - 4)/(4 - (-3)) = -5/(4 + 3) = -5/7
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3 years ago
A bag contains 15 marbles. The probability of randomly selecting a green marble is 1/5. The probability of randomly
meriva

Answer:

2

Step-by-step explanation:

well if you get all of the fractions into percentage form they will be 20%for green 8% for blue so in turn it would mean 8% of 15 is 2

3 0
2 years ago
Tim is 2 more than twice Angie's age. If Angie in 20 years old, how old is Tim?
Vera_Pavlovna [14]
If Tim is 2 more than twice angies age, Tim is 42.
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3 years ago
The point (1, –5) is reflected across the y-axis.
MArishka [77]

Answer:

(1, 5)

Step-by-step explanation:

Reflecting across the y-axis is the same thing as adding a negative to the y-value.

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7 0
3 years ago
A cube of sides 10cm was cut across to obtain a prism. Calculate the surface area of the prism and the volume of the prism
hodyreva [135]

Answer:

Part A

The volume of the triangular prism is 500 cm³

Part B

The total surface area of the prism is approximately 441.42 cm²

Step-by-step explanation:

The given details are;

The dimensions of the side length of the cube, s = 10 cm

The shape the cube was cut across to obtain = A prism

Part A

Whereby the prism obtained is a triangular prism, we have;

The cube can be cut in half to form a triangular prism

The volume of each triangular prism obtained = (1/2) × The volume of the cube

∴ The volume of the triangular prism = (1/2) × (10 cm)³ = 500 cm³

Part B

The height of the prism, h = 10 cm × sin(45°) = 5·√2 cm = (1/2) × The base width of the prism

The triangular cross sectional area of the prism, A₁ = 5·√2 × 5·√2 = 50

The square cross sectional area, A₂  = 10 × 10 = 100

The cross sectional area of the base, A₃ = 10·√2 × 10 = 100·√2

The total surface area of the prism, A = 2·A₁ + 2·A₂ + A₃

∴ A = 2×50 + 2×100 + 100·√2 = 300 + 100·√2 ≈ 441.42

The total surface area of the prism, A ≈ 441.42 cm²

4 0
3 years ago
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