Answer:
K = infinite amount of solutions
Step-by-step explanation:
Step 1: Write out equation
4K - 32 = -32 + 4K
Step 2: Rearrange
4K - 32 = 4K - 32
Here we see that any value of <em>x</em> can be plugged in and would render the equation true. You can also look at it as 2 exact same lines, and when 2 lines are the same, they have infinite amount of solutions.
So K could equal -2, -4, 5, 7, 2935, or even 91235780271.
Option (A) is correct, the conjugate of denominator will be √10+2
Answer: r+7
Whatever his age is now, we add 7 to it. So we simply add 7 to r getting r+7.
Example: Say he is 10 years old now
r = 10
r+7 = 10+7 = 17
meaning he will be 17 seven years from now
The answer is C 1.312, -1.33, -1 3/9, -1 3/10
Answer:
The standard error of the sampling distribution of sample mean is: 6.5
Step-by-step explanation:
We use the Central limit theorem to solve this question.
The Central Limit Theorem estabilishes that, for a random variable X, with mean
and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation, which is also called standard error of the sampling distribution of sample mean is ![s = \frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=s%20%3D%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
In this problem, we have that:
![\sigma = 39, n = 36](https://tex.z-dn.net/?f=%5Csigma%20%3D%2039%2C%20n%20%3D%2036)
![s = \frac{39}{\sqrt{36}} = 6.5](https://tex.z-dn.net/?f=s%20%3D%20%5Cfrac%7B39%7D%7B%5Csqrt%7B36%7D%7D%20%3D%206.5)
The standard error of the sampling distribution of sample mean is: 6.5