Divisibility, Equations, and Statistics

The video tutorial covers four math problems. Problem 210 involves calculating the minimum selling price for a television manufacturer to achieve a monthly profit of at least $42,000. Problem 211 is about solving a system of linear equations to find the value of y. Problem 212 requires ordering data sets based on their standard deviation, and Problem 213 involves finding the lowest positive integer divisible by a set of numbers. Each problem is solved step-by-step, demonstrating various mathematical techniques and concepts.

What is the minimum selling price per unit to ensure a monthly profit of at least $42,000 for the manufacturer?

• $150

• $160

• $170

• $180

If the cost to produce each unit is $90, what is the profit per unit if the selling price is $160?

• $70

• $60

• $90

• $80

What is the value of y if 4x + 3y = -2 and 3x + 6 = 0?

• 3

• 4

• 2

• 1

What is the value of x in the equation 3x + 6 = 0?

• -3

• -1

• -4

• -2

Which data set has the greatest standard deviation?

• Set 3

• Set 1

• All have the same

• Set 2

What is the mean of the data set: 62, 74, 74, 74, 89?

• 72.5

• 73.5

• 75.5

• 74.5

Which data set has a standard deviation of 0?

• Set 1

• Set 2

• None

• Set 3

What is the lowest positive integer divisible by 2, 3, 4, 5, 6, 7, 8, and 9?

• 2,520

• 2,540

• 2,580

• 2,560

If a number is divisible by 8, which other numbers is it automatically divisible by?

• 3 and 6

• 2 and 4

• 5 and 7

• 9 and 10

Which of the following numbers is not necessary to check for divisibility if a number is divisible by 9?

• 7

• 5

• 3

• 2