<h3>
Answer: C) 5</h3>
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Work Shown:
s = square side length
A = area of square = 9x^2+12x+4
A = s^2
A = (ax+b)^2
A = a^2*x^2 + 2abx + b^2 .... apply the FOIL rule
A = 9x^2 + 12x + 4
Equating corresponding terms, we see that,
- a^2*x^2 = 9x^2 which shows that a^2 = 9 and that solves to a = 3, assuming 'a' is positive.
- 2abx = 12x leads to 2ab = 12 or ab = 6. Using a = 3 we can find that b = 2.
- b^2 = 4 solves to b = 2 which matches with the previous value of b found.
Using a = 3 and b = 2, the sum of the values is a+b = 3+2 = 5, so that's why the answer is choice C.
Side note: 9x^2 + 12x + 4 factors to (3x + 2)^2
We will check if the elevator can hold 10 man
X~(177,32^2)
n= 10
P(SigmaX>172)
SigmaX~(177*10,(32^2)*10)
SigamX~N(1770, 101.19^2)
P(SigmaX>172*10=1720) =Z=(1720-1770)/101.19
Z = -0.49
From Z table Z=-0.49
P(Z=-0.49) = 0.3121 (probability they will not overload)
1- 0.3123 = 0.6879 = 68.79%
The elevator is not safe, the probability to be more the 172 is 68.79%, high probability they could not make it.
Answer:
Step-by-step explanation:
![[ \ x^ 2- 1 = (x-1)(x + 1) \ ]](https://tex.z-dn.net/?f=%5B%20%5C%20x%5E%202-%201%20%3D%20%28x-1%29%28x%20%2B%201%29%20%5C%20%5D)
![[\ Taking \ LCM \ ]](https://tex.z-dn.net/?f=%5B%5C%20Taking%20%5C%20LCM%20%5C%20%20%5D)
<em><u>Finding LCM :</u></em>
Example :
6 = 2 x 3
3 = 1 x 3
[ To make the denominators same : the second fraction is multiplied and divided by 2 ]
Similarly :
Same rule we applied : multiplied the numerator and denominator of the second term with ( x - 1 )
Therefore the second term becomes ,
Answer:
The correct option is;
A. A set of nine data pairs with a correlation coefficient r = -0.4
Step-by-step explanation:
In statistical analysis, it is important to make use of an adequate sample size in order to arrive at a valid result. An analysis with a very small sample size can provide misleading results
When performing regression analysis it is generally accepted by researchers that each variable should have at least 10 observations.
Therefore, the data set having nine data pairs with a negative correlation of -0.4 will provide the most valid result that can then be used for generalization about the larger statistical population.
