A cell phone service provider charges customers a fixed rental charge and a call charge based on the number of call minutes. The

In order to determine this probability, we calculate using this difference: To obtain these probabilities, it’s possible to utilize normal standard distribution tables, a calculator, or software like Excel. The accompanying figure displays the results achieved. Here’s a detailed breakdown of the steps: Relevant concepts include the normal distribution, which describes a probability distribution that is symmetric regarding the mean, demonstrating that occurrences close to the mean are more likely than those farther away. The Z-score represents a statistical measure illustrating how far a value is from the average of a set, expressed in standard deviations. For our analysis, let X denote the random variable representing weights in a population, with its distribution characterized by: We’re specifically interested in this probability. The most effective approach to address this issue is through the standard normal distribution and the Z-score calculation, expressed as: Applying this formula to our probability provides the following: This allows us to calculate this probability with the provided difference: We use standard distribution tables, a calculator, or Excel for determining these probabilities. The graph illustrates the resulting outcome.

Response:

Explanatory steps:

I am unsure as well. However, I can state that the first one is

Sarah is 40 years old and her mother is 64 years old.

Answer: The graph corresponds to the inequality y > 3x + 2

Step-by-step explanation:

A linear inequality is similar to a linear equation, but it consists of inequality symbols (<, >, ≤, ≥) rather than the equal sign (=).

In the question, the linear inequality is depicted through a graph.

The line in the graph intersects the point (-3,-7).

Now, let’s evaluate which option meets the conditions of this point.

1) y < 3x + 2 implies the line should be y = 3x + 2.

⇒ -7 = 3(-3) + 2.

⇒ -7 = -9 + 2 ⇒ -7 = -7, which holds true.

2) y > 3x + 2, which is analogous to the first.

3) y < x + 2 means the line should be y = x + 2.

⇒ -7 = -3 + 2.

⇒ -7 = -1, which is false.

4) y > x + 2 parallels the third scenario.

Thus, options 3) and 4) cannot represent the required linear inequality.

From options 1) and 2), option 2) is the correct linear inequality since the graph indicates shading above the line, suggesting y (>) must be greater. [Conversely, for y (<) to be lower, the shading would be below the line.]

Consequently, the correct linear inequality presented by the graph is 2) y > 3x + 2.

4 multiplied by 2 equals 8

4 multiplied by 1.5 equals 6

2 multiplied by 1.5 equals 3

8 multiplied by 2 equals 16

2 multiplied by 6 equals 12

2 multiplied by 3 equals 6

16 plus 12 plus 6 totals 34 ft