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alexandr1967 [171]
3 years ago
12

The amount that two groups of students spent on snacks in one day is shown in the dot plots below.

Mathematics
1 answer:
Ymorist [56]3 years ago
5 0

Answer:

1. The mean for Group A is less than the mean for Group B

2. The median for Group A is less than the median for Group B.

3. The mode for Group A is less than the mode for Group B.

Step-by-step explanation:

1. To find the mean for Group A, you use the formula: Total sum/Total frequency.

To find the total sum, you multiply the frequency(how many times the given number is repeated) with the given numbers.

0 × 0 = 0

1 × 5 = 5

2 × 4 = 8

3 × 1 = 3

4 × 0 = 0

5 × 0 = 0

Total Sum: 5 + 8 + 3 = 16

Total frequency: 5 + 4+ 1 = 10

\frac{16}{10} = 1.6

To find the mean for Group B, you repeat everything above.

0 × 0 = 0

1 × 3 = 3

2 × 2 = 4

3 × 4 = 12

4 × 0 = 0

5 × 1 = 5

Total Sum: 3 + 4 + 12 + 5 = 24

Total frequency: 3 + 2 + 4 + 1 = 10

\frac{24}{10} = 2.4

2. I can't explain it but I'm certain that it is correct.

3. The most repeated number for Group A is 1, it is repeated 5 times, while the most repeated number in Group B is 3, it is repeated 4 times.

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3 years ago
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shutvik [7]

Answer:

C.  The x-terms are the same, and the constant terms are the same.

Step-by-step explanation:

Solve for x:

7 (x - 4) = 8 (x + 8)

Hint: | Write the linear polynomial on the left-hand side in standard form.

Expand out terms of the left hand side:

7 x - 28 = 8 (x + 8)

Hint: | Write the linear polynomial on the left-hand side in standard form.

Expand out terms of the right hand side:

7 x - 28 = 8 x + 64

Hint: | Move terms with x to the left-hand side.

Subtract 8 x from both sides:

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Hint: | Combine like terms in 7 x - 8 x.

7 x - 8 x = -x:

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Hint: | Look for the difference of two identical terms.

8 x - 8 x = 0:

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Hint: | Isolate terms with x to the left-hand side.

Add 28 to both sides:

(28 - 28) - x = 28 + 64

Hint: | Look for the difference of two identical terms.

28 - 28 = 0:

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Hint: | Evaluate 64 + 28.

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Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of -x = 92 by -1:

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Hint: | Any nonzero number divided by itself is one.

(-1)/(-1) = 1:

Answer: x = -92

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3 years ago
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