A regulation hockey puck must weigh between 5.5 and 6 ounces. The weights X of pucks made by a particular process are normally d

a. A proper joint density function is established if, within its support, it remains non-negative and its integral totals 1. The first requirement is satisfied provided that . Meeting the second stipulation necessitates integrating over . b. To derive the marginal joint density of and , integrate the joint density concerning . Next, you can obtain the desired probability by integrating the joint density.

Answer:

• The profit can be expressed as 70x + 50
• If 240 phones are sold, the profit amounts to $16,850

Detailed explanation:

The revenue function R(x) is provided as

The cost function C(x) is given as

Profit is calculated by subtracting cost from revenue, expressed as Profit = Revenue − Cost

We substitute the given revenue and cost functions into this formula.

Denote the profit function as P(x).

Therefore, the profit function formula simplifies to 70x + 50

Since x denotes the quantity of phones sold, to find the profit when 240 phones are sold, we substitute x = 240 into the profit expression above.

Hence, selling 240 phones yields a profit of $16,850

As you may realize, the equation y=-7/4x-2 is already formatted in slope-intercept form, which means that its slope is represented by the "x" coefficient, that is, -7/4.

Lines that are parallel share identical slopes, therefore a line parallel to this would also maintain a slope of -7/4, which would go through the point (4,2),

I believe the volume is approximately 1742.54 cm³.

To resolve this, we multiply the 30-day timeframe by 7, resulting in a total of 210 days.