The question gives us that the sum of two consecutive odd integeres is 244, and we are asked to find the value of the smaller integer. Well, we can first assign the variable x to the smaller integer, and the variable y to the larger odd integer.
x = smaller odd integer
y = larger odd integer
The question says that the sum of two <u>consecutive</u> odd integers is 244. This means that if x is an odd integer, the next odd integer can be expressed as x + 2. This means that the value of y is x + 2. Next, we can create an equation modeling the problem.
x + y = 244
x + (x + 2) = 244
x + x + 2 = 244
2x + 2 = 244
2x = 242
x = 121
Therefore, the value of the smaller integer is 121, and the value of the larger integer is 121 + 2 = 123. Hope this helped and have a phenomenal day!
Answer:
a.
Step-by-step explanation:
The p-value is a measurement of the likelihood that a difference observed is due to a random chance or a sampling error. In an alternative way, the p-value of a study represents the probability or area under distribution for obtaining more radical outcomes whenever the null hypothesis is true.
Any observable change is deemed to be addressed by sampling variability if the P-value is greater than the selected alpha level. A statistical test will nearly always show a substantial difference with a suitably big sample unless there is no impact at all when the effect size is exactly zero.
As a result, simply reporting the P-value alone for a study is insufficient to fully validate the results and findings of scientific publications.
Answer:
The approximate number of years until the species is extinct will be 9 years
Step-by-step explanation:
We are given
The population of a species is modeled by the equation
where
t is the number of years
we have to find time when species extinct
we know that any species will be extinct only if population of that species becomes 0
so, we can set P(t)=0
and then we can solve for t
we can factor it
we get t value as imaginary for this equation
So,
the approximate number of years until the species is extinct will be 9 years
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Answer:
21x² +20x +100 = 0
Step-by-step explanation:
We know the sum of the roots of x² +bx +c = 0 is -b, and their product is c. If the roots are α and β, then ...
The sum of the roots of the new equation will be ...
-b' = (α+1/β)+(β+1/α) = (α+β) +(1/α +1/β) = (α+β)(1 +1/(αβ))
The product of the roots of the new equation will be ...
c' = (α+1/β)(β+1/α) = αβ +2 +1/(αβ)
Using the above relations for (α+β) and αβ, we find that ...
-b' = (-b)(1 +1/c)
c' = c + 2 + 1/c
For the given equation, our definition of b and c is ...
b = 2/3
c = 7/3
so the new equation has values ...
b' = (2/3)(1 + 1/(7/3) = (2/3)(10/7) = 20/21
c' = 7/3 + 2 + 1/(7/3) = 13/3 + 3/7 = 100/21
So, the equation with the roots of interest is ...
x² +20/21x +100/21 = 0
Multiplying by 21 gives ...
21x² +20x +100 = 0
terms of a geometric sequence is given by:
