Sam works as a baggage carrier at an airport facility. He owes a certain amount of money, in dollars, to his friend Daniel. The

Answer:

y = x - 3

Step-by-step explanation:

4x - 5 = 7 + 4y  subtracting 7 from each side

4x - 12 = 4y

 then dividing every term by 4

x - 3 = y

Answer:

The anticipated number of tests required to identify 680 acceptable circuits is 907.

Step-by-step explanation:

For any circuit, there are two potential results: it either passes the test or it fails. The likelihood of passing is independent between circuits. Therefore, we apply the binomial probability distribution to address this scenario.

Binomial probability distribution

This distribution calculates the chance of obtaining exactly x successes across n trials, where x has only two possible outcomes.

To find the expected number of trials to achieve r successes with a probability p, the formula is given by:

Circuits from a specific factory pass a certain quality evaluation with a probability of 0.75.

Thus, to determine the expected number of tests needed for 680 acceptable circuits, let’s denote this as E where r = 680.

The expected number of tests necessary to find 680 acceptable circuits is 907.

Answer:

With the addition of a child, both the family's income and expenses increase. Although the initial expenses might be higher, the financial benefits will manifest over time.

Answer:

When point M (h, k) is rotated 180° around the origin O, its new position becomes M' (-h, -k). The signs of the coordinates are inverted.

In the graph provided, point H' is located at (-3,-2). Its corresponding pre-image, point H, will have coordinates that are the opposite signs of point H'.

Thus, coordinates of point H will be (3,2).

Step-by-step explanation: