Your answer is x = 78! Hope this helps!
Using it's concepts, the average speed and the average velocity are given as follows:
- Average speed: 40 miles per hour.
- Average velocity: 0 miles per hour.
<h3>Average speed</h3>
The average speed is given by the quotient between the total distance traveled and the time taken, that is:
Average speed = total distance/time
In this problem, the total distance is of 60 miles(30 miles west + 30 miles south), in a time of 1.5 hours(1 hour west and 0.5 hours south), hence the average speed is given as follows:
Average speed = 60/1.5 = 40 miles per hour.
<h3>Average velocity</h3>
The average velocity is given by the quotient between the displacement and the time taken, that is:
Average velocity = displacement/time
The displacement is the difference between the final position and the initial position. Since the person got back to the start, finish = start, hence the displacement is of zero, as is the average velocity.
More can be learned about speed and velocity at brainly.com/question/4931057
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Answer:
y = 13x - 1
Step-by-step explanation:
y = 13 x - 1
Slope y intercept
Answer:
The stock price beyond which 0.05 of the distribution fall is $12.44.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Mean of $8.52 with a standard deviation of $2.38
This means that 
The stock price beyond which 0.05 of the distribution fall is
This is the 100 - 5 = 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.
The stock price beyond which 0.05 of the distribution fall is $12.44.
Answer:
X<12
Step-by-step explanation:
x² - x - 12 <0 any number without a power is to power 1.
x² - x^1 - 12<0
x^1 - 12 <0
x - 12 <0 any to the power 1 is that same number example p^1=p
x - 12 + 12<0 + 12
x<12
