Dividing by 2 is obvious. Square root is "a number which produces a specified quantity when multiplied by itself." Essentially the opposite of exponents.
A)
x^2 - 6x + c = - 5 + c
using a^2 - 2ab + b^2 = (a-b)^2
so
6x = 2 * x * 3
so
c = 9
Answer
c = 9
b)
substitute c = 9
x^2 - 6x + 9 = - 5 + 9
(x - 3)^2 = 4
Answer:
(x - 3)^2 = 4
c) solve for x
(x - 3)^2 = 4
(x - 3)^2 = 2^2
so
x - 3 = 2
x = 5
and
x - 3 = -2
x = 1
Answer: x = 1 , 3
Answer:
a) is the correct answer
Step-by-step explanation:
Let 
be the number of crimes on the 
day. each is a random varible with mean 4.2 and standard deviation 6, and all are identically distributed and independent. Since the standard deviation is 6, then the variance is 36. Summing identiaclly distributed and independent random variables will make the mean and variance add up. Lets call 
the sum of 100 of this random varaibles, then we have
The sample mean of this 100 random variables is obtained by dividing by 100. When we multiply/divide a random variable by a number 
, then its mean is multiplied/divided by and its variance is multiplied/divided by 
. In this case, we are dividing by 100, so the mean will be 4.2 and the variance is divided by 100² = 10000, hence, its value will be 0.36. As a result, the standard deviation of the mean sample will be the square root of 0.36, which is 0.6.
We also know, as a consecuence of the Central Limit Theorem, that the mean sample of independant, identically distributed random variables, has distribution approximately normal if the sample is big enough (100 is more than enough) . So, we conclude that
- The mean sample has approximately normal distribution
- The mean sample has mean 4.2
- The mean sample has standard deviation 0.6
The correct answer is option (a).
I hope that works for you!!
2nd one, x^2 + 8x + 4
add 2x^2-x^2, 6x+2x, -3+7
The sides of a 30, 60, 90 triangle is a, 2a, a
Since the give two sides are 7
and 14, we can say the a=7. Hence the long leg is 7
