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3 years ago

Directions: Write the expression for each sentence below.

Mathematics

1 answer:

mr Goodwill [35]3 years ago

8 0

The given sentences expressed in algebraic expressions are:

1. "sum of 6 and t" is represented as: 6 + t

2. "product of s and 12" is represented as: 12s

3. "difference of 6 from 10" is represented as: 10 - 6 = 4

4. "quotient of 6 divided by t" is represented as: 6/t

5. "17 less than 20" is represented as: 20 - 17 = 3

6. 2s + s

7. 10 - r

8. 4s + 7x

9. (17 - 12)/2 = 5/2

10. (2)(x - 10)

11. (7)(2/2) = 7

12. (8)(6) - x = 48 - x

<h3>Representing Sentences with Algebraic Expressions</h3>

Phrases are represented using algebraic expressions using numbers and mathematical operation sign.
Quotient means division.
Product means multiplication.
Sum means addition, and so on.

Thus, the following sentences given can be expressed as follows:

1. "sum of 6 and t" is represented as: 6 + t

2. "product of s and 12" is represented as: 12s

3. "difference of 6 from 10" is represented as: 10 - 6 = 4

4. "quotient of 6 divided by t" is represented as: 6/t

5. "17 less than 20" is represented as: 20 - 17 = 3

6. 2s + s

7. 10 - r

8. 4s + 7x

9. (17 - 12)/2 = 5/2

10. (2)(x - 10)

11. (7)(2/2) = 7

12. (8)(6) - x = 48 - x

Learn more about algebraic expressions on:

brainly.com/question/2164351

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Mean time to finish 400 meter dash = μ = 65 seconds

Standard deviation to finish 400 meter dash = σ = 2.5 seconds

Confidence level = 95%

Required Information:

95% confidence interval = ?

Answer:

$CI = 60 \: to \: 70 \: seconds$

Step-by-step explanation:

In the normal distribution, the empirical rule states approximately 68% of all the data lie within 1 standard deviation from the mean, approximately 95% of all the data lie within 2 standard deviations from the mean and approximately 99.7% of all the data lie within 3 standard deviations from the mean.

The confidence interval for 95% confidence limit is given by

$CI = \mu \pm 2\sigma$

Since approximately 95% of all the data lie within 2 standard deviations from the mean. μ is the mean time Carson takes to finish 400 meter dash and σ is the standard deviation.

$CI = 65 \pm 2(2.5)$

$CI = 65 \pm 5$

$CI = 65 - 5 \: to \: 65 + 5$

$CI = 60 \: to \: 70 \: seconds$

Therefore, the 95% confidence interval is between 60 to 70 seconds

What does it mean?

It means that we are 95% confident that the Carson's mean to finish 400 meter dash is within the interval of (60, 70).

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