Answer:
21
Step-by-step explanation:
21 is the constant of proportionality.
Answer:
y = x + 46
Step-by-step explanation:
When writing an equation of a line, keep in mind that you always need the following information in order to determine the linear equation in slope-intercept form, y = mx + b:
1. 2 sets of ordered pairs (x, y)
2. Slope (m)
3. Y-intercept (b)
First, choose two pairs of coordinates to use for solving the slope of the line:
Let (x1, y1) = (0, 46)
(x2, y2) = (1, 47)
User the following formula for slope

Plug in the values of the coordinates into the formula:
Therefore, the slope (m) = 1.
Next, we need the y-intercept, (b). The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The y-coordinate of the point (0, 46) is the y-intercept. Therefore, b = 46.
Given the slope, m = 1, and y-intercept, b = 46, the linear equation in slope-intercept form is:
y = x + 46
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We know how wide the billboard will be. Therefore, to know how much the original image should be enlarged, you must divide the final width of the billboard between the current width of the invoice.
We know both data, then we perform the operation:
48 feet /6.14 inches = 7.81 feet / inches
.
Therefore the correct answer is option D. 1″ = 7.81′
For the bill to cover the billboard, the bill must be expanded by a factor of 7.81 feet long per inch long that has the original image.
Answer:
Decision is reject the
as There is sufficient evidence to support the claim that the mean time is less then 5 minutes.
Step-by-step explanation:
Consider the provided information.
The mean waiting time for a bus during rush hour is less than 5 minutes.
Thus the null hypothesis is:


A random sample of 20 waiting times has a mean of 3.7 minutes with a standard deviation of 2.1 minutes. At α = 0.01,
Now use the table to find the z value, where α = 0.01,

The value of n is 20, sample mean is 3.7, population mean is 5 and standard deviation is 2.1.
Now, use the formula: Standardized test statistic for z-scores =
.
Substitute the respective values in the above formula.



As, the test statistic is in the reject interval, so reject 
There is sufficient evidence to support the claim that the mean time is less then 5 minutes.
The answer is A,D and E because they all have the same shape and size therefore they’re congruent.