Math question please help If you get this right I will mark you as a brainliest
1 answer:
That's an easy parallelogram, parallel to the x axis. Let's label the points
A(-4,-1),B(-2,4),C(4,4),D(2,-1)
AD and BC are the sides parallel to the x axis. We'll call those the base, it has length 4 - -2 = 6.
The height is the change in y between the bases, so 4 - -1 = 5.
The area is base times height, 6 × 5 = 30
Answer: 30
The shoelace formula gives us the area of a polygon from 2D coordinates without worrying about the shape:
(-4,-1),(-2,4),(4,4),(2,-1)
(-2,4),(4,4),(2,-1),(-4,-1)
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Answer:
Step-by-step explanation:
Data given and notation
n=1000 represent the random sample taken
estimated proportion of residents that favored the annexation
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 higher than 0.5:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, 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
Since we have all the info required we can replace in formula (1) like this:
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 right tailed test the p value would be: