The amount of rainfall in january in a certain city is normally distributed with a mean of 4.3 inches and a standard deviation o
f 0.3 inches. find the value of the quartile q1. 1.1 4.2 4.1 4.5
1 answer:
We start by showing the position of the first quartile, Q1 on the normal distribution graph. Q1 happens at 25% of the data.
The graph is shown below
We are interested in the area to the left of Q1 and we know that the probability is 0.25
We can find out the value of z-score from the table as shown below
The z-score when p=0.25 is 0.68
then changing this z-score into the actual value
The graph is shown below
We are interested in the area to the left of Q1 and we know that the probability is 0.25
We can find out the value of z-score from the table as shown below
The z-score when p=0.25 is 0.68
then changing this z-score into the actual value
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Answer:
The correct answer is:
Step-by-step explanation:
As stated in the question that x represents the number of minutes his <em>normal</em> commute takes. Here the keyword is normal; in the <em>normal</em> commute, Ken takes side streets instead of the toll road.
However, in this scenario, we have to come up with the equation that takes Ken's commute via <em>toll road</em>.
Ken can travel 3 times faster by taking the toll road (Given), which can be represented in the mathematical terms in terms of x as follows:
<em>Without considering Ken getting late, </em>the equation would become the following:
--- (A)
<em>As Ken is leaving late</em>, we have to incorporate that time as well by <em>adding</em> it in the aforementioned equation (A).
In this case, it's 20 minutes; therefore, the equation (A) will become:
Hence, the correct answer is .