Answer:
The coordinates of Point D are: (-5,-8)
Step-by-step explanation:
The formula for mid-point is given by:
For the point (x1,y1) and (x2,y2)
Given that
M = (-3, -6)
C = (-1, -4) => (x1,y1)
Putting the values of given points in the formula for mid-point
Putting respective coordinates equal
Hence,
The coordinates of Point D are: (-5,-8)
The speed of a yacht traveling a distance of 1.357 km in 165 minutes is 0.5 km/h
<h3>What is Speed?</h3>The speed of an object is the distance covered by the object in respect to time.
Mathematically:
Speed = 0.5 km/hour
Learn more about calculating speed here:
Answer:
We need to conduct a hypothesis in order to test the claim that the true proportion is 0.36 so then we need to conduct a two tailed test, the system of hypothesis are.:
Null hypothesis:
Alternative hypothesis:
Since is a bilateral test the p value would be:
Step-by-step explanation:
Data given and notation n
n represent the random sample taken
estimated proportion of interest
is the value that we want to test
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the true proportion is 0.36 so then we need to conduct a two tailed test, the system of hypothesis are.:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statisitc, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value .
Calculate the statistic
For this case the statistic is given:
Statistical decision
It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.
The next step would be calculate the p value for this test.
Since is a bilateral test the p value would be: