Answer:
The correct option is (C).
Step-by-step explanation:
According to the Central Limit Theorem if we have n unknown population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.
Then, the mean of the distribution of sample means is given by,
And the standard deviation of the distribution of sample means is given by,
The information provided is:
<em>μ</em> = 3.5
<em>σ</em> = 1.7078
<em>n</em> = 400 = number of times the experiment is repeated.
As the sample size is quite large, i.e. <em>n</em> = 400 > 30 the central limit theorem can be used to approximate the sampling distribution of the sample mean.
The mean of the distribution of sample means is:
The standard deviation of the distribution of sample mean is:
The distribution of the sample mean is:
.
Thus, the correct option is (C).
4x is the simplify version
Answer:
x = -1
Step-by-step explanation:
When an exponent is negative, you have to move it to the denominator (or to the numerator if it's already on the denominator). Since the answer is , you know that the 2 has been raised to the power of 1 (any number to the power of 1 is the same number), so you just make it negative. Hope that helps!
-5t+5t+2+8-8
-5t+5t=0 or t
2+8-8=2
t+2 is the final answer
Answer:
6
Step-by-step explanation:
Turn all fractions to improper fractions first.
2 × 2 = ×
Directly multiply. (numerators with numerators and denominators with denominators)
× =
Simplify by turning improper fractions back into mixed numbers.
= 6