What number can you multiply by √7 to get a rational number? (select each correct answer.)
2 answers:
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Answer:
A. 5,8,12, side lengths can form a triangle.
B. 20, 18, 2, side lengths can not form a triangle.
C. 15, 26 , 9, side lengths can not form a triangle.
D. 4.75, 12.25, 16.25, side lengths can form a triangle.
Step-by-step explanation:
We are given three sides in options A, B , C and D.
We need to check if the given sides would form a triangle or not.
Note: Sum of two sides is always greater than third sides in a triangle.
So, we need to check the sum of two sides of given sides length to check if sum is greater than third side length.
A. 5,8,12.
5+8 is greater than 12.
5+12 is greater than 8.
12+8 is greater than 5.
Therefore A. 5,8,12, side lengths can form a triangle.
B. 20, 18, 2
18+2 is not greater than 20.
Therefore B. 20, 18, 2, side lengths can not form a triangle.
C. 15, 26 , 9
15+9 is less than 26.
Therefore C. 15, 26 , 9, side lengths can not form a triangle.
D. 4.75, 12.25, 16.25.
4.75+12.25 is greater than 16.25.
4.75+16.25 is greater than 12.25.
12.25+16.25 is greater than 4.75.
Therefore D. 4.75, 12.25, 16.25, side lengths can form a triangle.
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.
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Answer:
Step-by-step explanation:
simple:
2900(1+.13*30)=14210
Compounding