Answer:
28 square units
Step-by-step explanation:
These vertices are written in the form of their x and y coordinates. Let
A=(1,2) ; B =(1,-5) ; C =(5, -5) ; D=(5,2)
The x points are 1, 1, 5, 5
The y points are 2,-5, -5, 2
The x extremes range from 1 to 5. The length in-between is 5-1 = 4
The y extremes range from -5 to 2. The length in-between is 2-(-5) = 7
Area of the polygon enclosed by the coordinates
= 4 x 7 = 28 square units
Answer:
um
Step-by-step explanation:
We reject our null hypothesis, H₀, at a level of significance of =0.01 since the P-value is less than that threshold. There is compelling statistical data to indicate that since 1991, the proportion of drivers who love driving has decreased.
Given,
The Pew Research Center recently polled n=1048 U.S. drivers and found that 69% enjoyed driving their automobiles.
In 1991, a Gallup poll reported this percentage to be 79%. using the data from this poll, test the claim that the percentage of drivers who enjoy driving their cars has declined since 1991.
To report the large-sample z statistic and its p-value,
Null hypothesis,
H₀ : p = 0.79
Alternative hypothesis,
Ha : p < 0.79
Level of significance, α = 0.01
Under H₀
Test statistic,

Z₀ = -7.948
The alternative hypothesis(Ha) is left-tailed, so the P-value of the test is given by
P-value = P(z <-7.945)
= 0.000 (from z-table)
Since the P-value is smaller than given level of significance, α=0.01 we reject our null hypothesis, H₀, at α=0.0.1 level Strong statistical evidence to conclude that the percentage of drivers who enjoy driving their cars has declined since 1991.
To learn more about hypothesis click here:
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Answer:
area of triangle : 1/2 x length x widht
A,d,b, and then c ,basically least to greatest