Aaron’s boat travels 9 mile per hour in still water. The speed of the river is 4 miles per hour. How long will it take Aaron to
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
First, to figure out the equation of a line you must find the slope then plug in the coordinates.
In order to find the slope of the equation, you know that it is perpendicular to the equation y = -3x + 7.
Perpendicular slopes are basically reciprocals with opposite signs; you flip the number and give it the opposite symbol.
For example, the perpendicular slope of 2 would -1/2, because flipping the fraction 2/1 is 1/2 and the opposite sign of + would be -.
Therefore, the perpendicular slope of -3 would be 1/3, be 3/1 flipped upside down is 1/3 and the opposite sign of - is +.
Then you plug in the slope into the equation of a line along with the coordinate.
A line is y = mx + b
Since you found the slope, m = 1/3
They also give you the coordinate (3,5), meaning when x = 3, the y =5.
You plug everything into the equation to solve for b:
5 = (1/3)(3) + b
b = 5 - (1/3 * 3) = 5 - 1 = 4
Since you have values for m and b, the equation can now be constructed as
y = 1/3x + 4
Answer:
The p-value of the test is of 0.1922 > 0.02, which means that there is not significant evidence to reject the null hypothesis, that is, there is not significant evidence to conclude that the proportion is of less than 40%.
Step-by-step explanation:
Test if the proportion is less than 40%:
At the null hypothesis, we test if the proportion is of at least 0.4, that is:
At the alternative hypothesis, we test if the proportion is of less than 0.4, that is:
The test statistic is:
In which X is the sample mean, is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
0.4 is tested at the null hypothesis:
This means that
74 out of the 200 workers sampled said they would return to work
This means that
Value of the test statistic:
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion below 0.37, which is the p-value of z = -0.87.
Looking at the z-table, z = -0.87 has a p-value of 0.1922.
The p-value of the test is of 0.1922 > 0.02, which means that there is not significant evidence to reject the null hypothesis, that is, there is not significant evidence to conclude that the proportion is of less than 40%.