Answer: Lets divide by 8. My god, those coefficients are large.
x^3 - 8x^2 + 20x - 16 = 0
Possible integral roots are: +1, -1, +2, -2, +4, -4, +8, -8
If x = 2, f(x) = 8 - 32 + 40 - 16 = 0
Hence, x-2 is a factor.
Use synthetic division to get: x^2 - 6x + 8 = (x-4)(x-2).
Therefore, there are two integral roots: +2 and +4.
Step-by-step explanation:
Answer:
a) Mean = 133, Standard deviation = 2.5
b) Normal distribution
c) 0.0026
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 4
Mean = 133
Standard deviation = 5
a) Mean and the standard deviation of the sampling distribution of the sample mean for the four observations each day.
The sampling distribution has a mean equal to the population mean

The standard deviation of the sampling distribution is given by:

b) Shape of the sampling distribution
Central limit theorem:
When a large sample is drawn from a normal distribution, then the distribution of sample means approaches a normal distribution.
Since the distribution is normal, the sampling distribution of the sample mean will be bell shaped and follow a normal distribution.
c) P(sample mean exceeds 140)
Calculation the value from standard normal z table, we have,
0.0026 is the probability that the sample mean exceeds 140.
Answer:
186 and 187
Step-by-step explanation:
Let n be the first integer.
Then n+1 is the next integer.
We are given their sum is 373.
n+(n+1)=373
Combine like terms:
2n+1=373
Subtract 1 on both sides:
2n=372
Divide both sides by 2:
n=186
So n+1=187.
187
+186
--------
373
Answer:
Step-by-step explanation:
The first two answers could not possibly be correct.
"Skewed to the right" implies that the mean is larger than the median. This is the correct answer.
X=5/9
Y=0.65
See below the following picture for the solution