Answer:
2
Step-by-step explanation:
let the other leg be x
Using Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 1² = 3²
x² + 1 = 9 ( subtract 1 from both sides )
x² = 8 ( take the square root of both sides )
x = 
= 
= 
× = 2 ← exact value
If earning more money from a college degree occurs, a researcher is interested in finding out. She is aware that the average annual household income in thousands is μ<=80.
The null hypothesis is a claim made about the population parameter in relation to the test's goal and in opposition to the alternative hypothesis.
- The term "null hypothesis" refers to a researcher's attempt to reject or "nullify" a commonly held assumption (such as that the sky is blue). A null hypothesis is "a statistical theory suggesting that no statistical relationship exists between given observed variables," according to a more formal definition.
- It always contains = , ≤ , ≥ signs.
- The results will be examined using a one-tailed hypothesis test.
Hence, μ<=80
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Answer:
4/9
Step-by-step explanation:
1 1/3 * 1/3 =
= (1 + 1/3) * 1/3
= (3/3 + 1/3) * 1/3
= 4/3 * 1/3
= 4/9
<span>The correct answer is n</span>²<span>+3.
Explanation<span>:
We find the first differences between terms:
7-4=3; 12-7=5; 19-12=7; 28-19=9.
Since these are different, this is not linear.
We now find the second differences:
5-3=2; 7-5=2; 9-7=2.
Since these are the same, this sequence is quadratic.
We use (1/2a)n</span></span>²<span><span>, where a is the second difference:
(1/2*2)n</span></span>²<span><span>=1n</span></span>²<span><span>.
We now use the term number of each term for n:
4 is the 1st term; 1*1</span></span>²<span><span>=1.
7 is the 2nd term; 1*2</span></span>²<span><span>=4.
12 is the 3rd term; 1*3</span></span>²<span><span>=9.
19 is the 4th term; 1*4</span></span>²<span><span>=16.
28 is the 5th term: 1*5</span></span>²<span><span>=25.
Now we find the difference between the actual terms of the sequence and the numbers we just found:
4-1=3; 7-4=3; 12-9=3; 19-16=3; 28-25=3.
Since this is constant, the sequence is in the form (1/2a)n</span></span>²<span><span>+d;
in our case, 1n</span></span>²<span><span>+d, and since d=3, 1n</span></span>²<span><span>+3.</span></span>
X^4-81=0
(x^2+9)(x^2-9)=0
(not real)=0 (x^2-9)=0
(x^2-9)=(x+3)(x-3)
Real roots=-3,3, also irrational -(-9)^(1/2), (-9)^(1/2)
