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VikaD [51]
3 years ago
10

1. What is a perfect square? 2. What is the square root of 4x²? 3. What is the square root of 25? 4. Factor 4x² + 20x + 25.

Mathematics
1 answer:
Ulleksa [173]3 years ago
3 0

Answer:

Step-by-step explanation:

1) A perfect square is a whole number which is a product of a smaller whole number and itself. Examples of perfect squares are

4(2 × 2)

9(3 × 3)

16(4 × 4)

25(5 × 5)

36(6 × 6)

2) Square root of 4x² is 2x(product of square root of 4 and square root of x²)

3) square of 25 is 5

4) 4x² + 20x + 25

The general formula for solving quadratic equations is expressed as

x = [- b ± √(b² - 4ac)]/2a

From the equation given,

a = 4

b = 20

c = 25

Therefore,

x = [- 20 ± √(20² - 4 × 4 × 25)]/2 × 4

x = [- 20 ± √(400 - 400)]/8

x = [- 20 ± 0]/8

x = - 20/8

x = - 2.5

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the sample mean foot length of a simple random sample of 25 third-graders is 22.5 cm. The standard error of the mean is 0.8 cm.
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Question:

The sample mean foot length of a simple random sample of 25 third-graders is 22.5 cm. The standard error of the mean is 0.8 cm. Which one of the following is a correct interpretation for the standard error of the mean?

The typical distance between each individual foot length in the sample and the sample mean foot length is approximately 0.8 cm.

The typical distance between one sample mean foot length and another sample mean foot length is 0.8 cm.

The typical distance between each individual foot length in the population and the true mean foot length is approximately 0.8 cm.

The typical distance between means of samples of size 25 and the population mean foot length is approximately 0.8 cm

The typical distance between each individual foot length in the sample and the true mean foot length is approximately 0.8 cm.

Answer:

The correct option is:

The typical distance between means of samples of size 25 and the population mean foot length is approximately 0.8 cm

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