Nicolas has three fewer than twice the number of songs downloaded as Sabrina does. Interpret the meaning of the expression 2x –

Answer:

a)

The probability can be determined using the complement rule, with the standard normal distribution, an excel sheet, or a calculator.

b)

This probability can also be calculated using the normal standard distribution, an excel sheet, or a calculator.

c)

For this one, the probability can likewise be derived from the standard normal distribution, excel, or a calculator, with specific adjustments:

Step-by-step explanation:

Previous concepts

Normal distribution refers to a symmetric probability distribution centered around the mean, indicating that occurrences near the mean are more common than those far from it.

The Z-score is a statistic that represents a value's relationship to the average of a set of values, expressed in terms of how many standard deviations it is away from the mean.

Part a

Let X denote the random variable representing the lengths within a population, and for our case, the distribution for X is as follows:

Where and

We seek the probability:

The most effective way to solve this is by leveraging the normal distribution and the corresponding Z-score:

By applying this formula, we can find the probability:

Again, this probability can be obtained either using the complement rule, the standard normal distribution, or a calculator.

Part b

This probability can also be computed using either the normal standard distribution, an excel sheet, or a calculator.

Part c

In this case, the probability can similarly be acquired with the help of the standard normal distribution, an excel sheet, or a calculator, with particular adjustments:

Answer:

91

Step-by-step explanation:

40/.44

The expression m over 5 indicates the miles traveled by the cyclist in a span of 5 minutes. This represents a value corresponding to speed. It describes the magnitude of velocity, reflecting the total distance covered within a specific time frame. As it lacks direction, it is classified as a scalar quantity. The dimensions include distance per time with SI units being meters per second. Alternative measurements can include kilometers per hour and miles per hour. In contrast, the vector equivalent known as velocity incorporates both speed and direction, signified through positive and negative indicators.

A. Linear Decreasing

we have the function

we understand that

In the context of the exponential function represented as

a signifies the initial value

b denotes the base

x represents the exponent

The initial value indicates the function's value when x equals zero

in this scenario

for

the initial value corresponds to the point

thus

the solution is displayed in the accompanying figure