A farmer is estimating the surface area of his barn to find how much paint he needs to buy. One part of the barn is triangular a

Answer:

Step-by-step explanation:

The present value of the house is $120,000 and the interest rate is 5.5%, or 0.055.

We will utilize the following equation:

where represents the present value, symbolizes the interest rate, and refers to the number of years.

By inputting the values into the above equation, we can obtain:

Answer:

The equation for the line is

Step-by-step explanation:

Let A denote Area and C stand for Cost, we can deduce that:

For an area of square feet, the cost amounts to

If , then,

Since the cost equation represents a function of area, this establishes a linear connection, necessitating the formulation of the line's equation.

Where:

m denotes the slope of the line

b indicates the intercept with the C axis..

We possess two coordinates:

(700, 30000)

(1500, 54000)

Using these points, we calculate the slope via the formula:

Consequently, the equation concludes with:

To find b, we substitute the point (700, 30000) into the equation

Thus

The linear equation's graph is depicted in the provided image

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: