Answer:
And we can use the z scoe formula given by:
And if we find the z score for the limits we got:
And this probability is equivalent to:
Step-by-step explanation:
For this case we can define the random variable X as "number of miles between services" and we know the following info given:
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
From the central limit theorem we know that the distribution for the sample mean is given by:
We select a random sample size of n =44. And we want to find this probability:
And we can use the z scoe formula given by:
And if we find the z score for the limits we got:
And this probability is equivalent to:
If we were to imagine a single point (1,1) which is in quadrant 1, and we rotate it 90o then we get a negative x. Another 90o then both x and y is negative. another 90 (270) and we get a negative y.
thus:
(e)(f)(g)(h) = (-1,-1)(-1,-2)(-2,-1)(-2,-2)
Answer:
Step-by-step explanation:
The vertex of is
The +1 inside the absolute value horizontally shifts the graph 1 unit to the left.
The+2 outside the absolute value vertically shifts the graph 2 units upward.
So, the vertex of the graph of is
Lashonda biked for 50,51, and 63 miles on the first three days, to make average 54 miles per she needs to bike 52 miles on the last day.
As given,
Lashonda biked for first three days = 50, 51, 63 miles
Let x miles she bike last day
Average = 54 miles per day
Average = (50 + 51 + 63 + x) /4
⇒ 54 = (164 + x) /4
⇒ x = 216-164
⇒ x= 52 miles
Therefore, Lashonda needs to bike 52miles last day to make average 54miles per day.
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Answer: Point 2, because Point B will have shrunk slightly if dilated by a factor that is a fraction.