The idle time for taxi drivers in a day are normally distributed with an unknown population mean and standard deviation. If a ra

Answer:

8 lb of French Roast and 12 lb of City Roast coffee

Step-by-step explanation:

In this scenario, we identify two variables: the weight of City Roast coffee (denote as "C") and that of French Roast coffee (denote as "F")

The first equation we create pertains to the overall weight of the coffee (20 lb total), represented by C and F as follows:

first equation    C + F = 20

Subsequently, we derive another equation regarding the mixture's cost. Each pound of City Roast costs $7.80, so for C pounds, the cost becomes $7.80 * C

For the French Roast—priced at $8.10 per pound—we deduce that F pounds will cost $8.10 * F

The total of these costs should equal the desired total for the 20 lb blend: $7.92 * 20 = $158.4

We format the total cost equation as follows:

$7.80 * C + $8.10 * F = $158.4

Next, we use the first equation to express one variable in terms of the other, allowing us to solve for "C":

C + F = 20

C = 20 - F

We then replace "C" in the second equation with this expression:

7.80 (20 - F) + 8.10 F = 158.4

7.80 * 20 - 7.80 F + 8.10 F = 158.4

Combining the F terms results in + 0.3 F

156 + 0.3 F = 158.4

Isolating F results in:

0.3 F = 158.4 - 156 = 2.4

Dividing both sides by 0.3 yields:

F = 2.4 / 0.3 = 8

This indicates that we need 8 pounds of French Roast coffee.

Consequently, the remainder (12 lb) should consist of the City Roast.

Answer:

m = - 3

Step-by-step explanation:

a³ + 27 can be recognized as a sum of cubes, which factors generally as

a³ + b³ = (a + b)(a² - ab + b²). Therefore:

a³ + 27

= a³ + 3³

= (a + 3)(a² - 3a + 9).

By comparing a² - 3a + 9 to a² + ma + 9, we find that

m = - 3.

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