1. Hank is an intelligent student and usually makes good grades, provided that he can review the course material the night befor

Answer:

Therefore, the data is best represented by:

Step-by-step explanation:

We have a table indicating the estimated lines of code produced by computer programmers per hour when x individuals are engaged.

The question asks which model accurately reflects this data.

To determine this, we will substitute the values of x into each function to see which one accurately produces the corresponding y (f(x)) values provided in the table:

We are presented with four functions, which are:

A)

B)

C)

D)

We'll create a table displaying these values at various x levels.

x                  A                 B                C               D

2              66.66          49.3            52.5           50

4             94.57            71.44           106.3         104  

6             134.14           103.57         160.1          158

8             190.27          150.14          213.9         212

10           269.91           217.64         267.7         266

12           382.85          315.5           321.5          320.

Thus, the function that suitably represents the data is:

Option C.

y=26.9x-1.3

Answer:

The correct answer is;

A. 0.17

Step-by-step explanation:

Here are the provided details;

The average time taken for a cashier to handle an order, μ = 276 seconds

The deviation from the average, σ = 38 seconds

The z-score for an order processing time of x = 240 seconds can be calculated as follows;

Thus;

The resulting probability

P(z = -0.9474) = 0.17361

Hence, the estimated proportion of orders processed in under 240 seconds is roughly 0.17361 or 0.17 when rounded to two decimal places.

Response:

The fence's width is 6 feet.

Detailed explanation:

To start, let’s define some variables.

Let the width of the fence be denoted as w, and the length as l.

Next, determine the length: the width is 2 feet less than half of the length.

w = l/2 - 2

Alternatively, l/2 can be expressed as w + 2, leading to l = 2(w + 2).

The total perimeter of the fence is 44 feet. The perimeter for a rectangle can be calculated using the formula:

P = 2(l + w)

Inserting what we know:

P = 44 and l = 2(w + 2)

44 = 2(2(w+2) + w)

44 = 2(2w + 4 + w)

44 = 2(3w + 4)

44 = 6w + 8

6w = 36

w = 36/6

w = 6 feet

Answer: 470.85 gallons

Step-by-step explanation:

12.9 gal/min multiplied by 36.5 min equals 470.85 gal