Answer:
3
Step-by-step explanation:
Answer:
Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.
Step-by-step explanation:
Problems of normally distributed samples 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.
In this problem, we have that:

Top 5%:
X when Z has a pvalue of 0.95. So X when Z = 1.645




Bottom 5%:
X when Z has a pvalue of 0.05. So X when Z = -1.645




Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.
Answer: $6.67
Step-by-step explanation: Divide 18 by 2.7 which would be $6.67.
To solve this we are going to use the kinematic equation for final velocity:

where

is the final velocity

is the initial velocity

is the acceleration

is the time
We know for our problem that the the velocity at the beginning of the slope is

, so

. We also know that the speed ad the bottom of the slope is

, so

. We also know that the acceleration is

, so

. Lets replace those values in our formula and solve for

:





seconds
We can conclude that it takes the roller coaster
3 seconds to reach the bottom of the slope.