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2 years ago

Which equation or inequality represents the given statement?

Mathematics

1 answer:

QveST [7]2 years ago

3 0

Answer:

D. 3x + 1 < x + 3

Step-by-step explanation:

Assuming the number to be x

Three times a number = 3x

1 more than 3 times a number = 1 + 3x

The symbol for less than is = <

The sum of 3 and the same number = x + 3

After assembling the given data, the equation will be:

3x + 1 < x + 3

[The options given in the question are incorrect. The correct options will be:

A. 3x + 1 = x + 3

B. 3x − 1 = x + 3

C. 3x − 1 > x + 3

D. 3x + 1 < x + 3 ]

∴ Option D is the correct answer.

You might be interested in

free points Aiku has one piece of rope that is 45 centimeters long and another that is 367 centimeters long. How many meters of

EleoNora [17]

Answer:

4.12

Step-by-step explanation:

going from cm to m, divide length value by 100

45+367=412

412/100=4.12

8 0

2 years ago

Create an equation with one solution of x = −4.

katen-ka-za [31]

Answer:

What is missing is -5x - 20

Step-by-step explanation:

To find this, simply solve for the parenthesis as if it were a variable of its own. This will allow you to see exactly what is missing.

8x - (x - 20) = 2x - (_______)

8x - x + 20 = 2x - (_______)

7x + 20 = 2x - (_______)

5x + 20 = - (_______)

-5x - 20 = (_______)

So the answer for the parenthesis is -5x - 20

3 0

3 years ago

Among 420 randomly selected employees at a company, the mean number of hours of overtime worked per month is 10 hours and the st

kari74 [83]

The margin of error of the random selection is 0.20

The given parameters are:

$n = 420$ --- the sample size

$\sigma = 1.6$ --- the standard deviation

$\bar x = 10$ --- the mean

$\alpha = 99\%$ --- the confidence level.

The margin of error (E) is calculated as follows:

$E = z \times \sqrt{\frac{\sigma^2}{n}}$

So, we have:

$E = z \times \sqrt{\frac{1.6^2}{420}}$

$E = z \times \sqrt{\frac{2.56}{420}}$

The z-value for 99% confidence level is 2.576.

Substitute 2.576 for z

$E = 2.576 \times \sqrt{\frac{2.56}{420}}$

$E = 2.576 \times \sqrt{0.006095}$

Take square roots

$E = 2.576 \times 0.0781$

Multiply

$E = 0.2012$

Approximate

$E = 0.20$

Hence, the margin of error is 0.20