Alana is writing a coordinate proof to show that the diagonals of a rectangle are congruent. She starts by assigning coordinates

71 5/8

Answer:

Area= 247 feet²

Volume= 1235 feet³

Step-by-step explanation:

The storage pod features a rectangular base measuring 19 feet by 13 feet, with a flat ceiling height of 5 feet above.

Calculating the area of the floor yields: length multiplied by width

Length = 19 feet

Width = 13 feet

Area = 19*13

Area = 247 feet²

The volume of the pod can be found by multiplying the area by the height

Height of the pod = 5 feet

Area = 247 feet²

Volume = 247*5

Volume = 1235 feet³

Believe this is accurate.

Answer:

a) Slope:

Intercept:

b)

Additionally, the coefficient of determination is

Step-by-step explanation:

Definitions and data provided

The correlation coefficient is a measure that quantifies the strength of the relationship between two variable movements, denoted as r and ranging between -1 and 1.

The sum of squares refers to the total of the squared deviations, where deviation is defined as the difference between each value and the grand mean.

When performing multiple regression, the aim is to analyze the relationship between multiple independent variables and one dependent variable.

n=110,

Part a

The slope can be calculated using this formula:

Following the substitutions, we have:

The intercept can be determined with this formula:

Average values for x and y can be calculated this way:

Replacing yields:

Part b

The correlation coefficient can be calculated using the following formula:

In our situation:

n=110,

We can compute the correlation coefficient by substituting values:

The coefficient of determination is

1 2 3 Step-by-step explanation: Generally, during the roll of two fair 6-sided dice, the doubles result in (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6). Therefore, the total for doubles is N = 6. The outcome of rolling two fair 6-sided dice yields n = 36. Thus, the probability of rolling doubles (matching numbers on both dice) is calculated mathematically. When rolling two fair dice, outcomes that sum to 4 or less are (1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (3, 1). Observing this, we see two doubles present. Consequently, the conditional probability of rolling doubles is represented mathematically. Lastly, when rolling the two fair dice, outcomes that show different numbers result in L = 30, while outcomes where at least one die shows a 1 give W = 10. Hence, the conditional probability of having at least one die show a 1 is presented mathematically.