Sachin used synthetic division to divide a polynomial, p(x), by x + 5 and found that there was no remainder. What does this tell
1 answer:
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<h2>Change of the distance between the observer and the airplane when X = 5 miles is 348.84 mph</h2>
Step-by-step explanation:
We have by Pythagoras theorem
Distance between the observer and the airplane² = Horizontal distance² + Altitude²
d² = h² + a²
Here we have
h = X = 5 miles
a = 7 miles
d² = 5² + 7² = 74
d =8.60 miles
Differentiating d² = h² + a² with respect to time
Change of the distance between the observer and the airplane when X = 5 miles is 348.84 mph
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.