Help i forgot how to do this and this is one of the last questions on my summer homework
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decrease in temperature if you hike up the mountain 3000 meters is ° .
<u>Step-by-step explanation:</u>
Here we have , Hiking up a mountain, you notice that the air temperature drops 10 degrees every 1000 meters increase in elevation . We need to find Write a multiplication expression to represent the decrease in temperature if you hike up the mountain 3000 meters. Let's find out:
For every 1000 meters rise in elevation , there is decrease in 10° of temperature . So , For rise in n meters in elevation , there is decrease in n×10° of temperature i.e
Decrease in temperature = (n/1000)×(-10) i.e.
⇒ (n/1000)×(-10)
⇒
At n = 3000 meters:
⇒
⇒
⇒ °
Therefore , decrease in temperature if you hike up the mountain 3000 meters is ° .
We have been given that the ages of students in a school are normally distributed with a mean of 15 years and a standard deviation of 2 years.
We are asked to find the percentage of students that are between 14 and 18 years old.
First of all, we will find z-score corresponding to 14 and 18 using z-score formula.
Similarly, we will find the z-score corresponding to 18.
Now we will find the probability of getting a z-score between and
that is
.
Using normal distribution table, we will get:
Let us convert into percentage.
Therefore, approximately of the students are between 14 and 18 years old.