Answer:

Step-by-step explanation:
Hello!
We can utilize the slope formula to find the slope.
Slope Formula: 
Remember that a coordinate is written in the form (x,y)
<h3>Find the Slope</h3>
The slope of the line is
.
I have no idea, do you mean y=mx+n cause if so it's already in that form instead that fact that the 7 is supposed to be a y
Answer: 12.1 meters
Step-by-step explanation:
This is a rectangular fence so it represents a rectangle.
Fencing the garden will require going around it therefore you are looking for the perimeter.
Perimeter of a rectangle = (2 * Length) + ( 2 * Width)
= (2 * 315) + ( 2 * 290)
= 1,210 cm
Convert to meters:
A meter is 100 centimeters
= 1,210 / 100
= 12.1 meters
Answer:
We conclude that the population mean is 24.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 24
Sample mean,
= 22.8
Sample size, n = 100
Alpha, α = 0.05
Sample standard deviation, s = 8.3
First, we design the null and the alternate hypothesis
We use Two-tailed z test to perform this hypothesis.
Formula:
Putting all the values, we have
We calculate the p-value with the help of standard z table.
P-value = 0.1498
Since the p-value is greater than the significance level, we accept the null hypothesis. The population mean is 24.
Now,
Since, the z-statistic lies in the acceptance region which is from -1.96 to +1.96, we accept the null hypothesis and conclude that the population mean is 24.
Answer:
The lengths of all sides of the triangle will be 21 cm, 21 cm, and 21 cm
Step-by-step explanation:
Given that the perimeter of the triangle = 63 cm
And the length of one side = 21 cm
and one of the medians is perpendicular to one of its angle bisectors
Since triangle has 3 sides,
Median = 63 ÷ 3 = 21
Therefore each side length = 21 cm