Answer:
4.65% probability that a randomly selected customer takes more than 10 minutes
Step-by-step explanation:
Problems of normally distributed samples are 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 question, we have that:
Probability that a customer takes more than 10 minutes:
This is 1 subtracted by the pvalue of Z when X = 10. So
has a pvalue of 0.9535
1 - 0.9535 = 0.0465
4.65% probability that a randomly selected customer takes more than 10 minutes
Step 1:
Set Variables (We will use x & y)
x = years
y = total orangutan population
Step 2:
Set up Equations
784 - 25x = y
817 - 36x = y
Step 3:
Set equations equal to each other & solve
784 - 25x = 817 - 36x
784 = 817 - 11x
-33 = -11x
3 years = x
The speaker is the encoder. That is the correct answer B.
Answer:
7 feet is the length of the blade of the windmill.
Step-by-step explanation:
We have the equation
h = 7 sin(pi/21t) + 28 ------ eq1
At time 't' = 0, the end of the blade is pointing to the right parallel to the ground meaning it is at the same height as the other end. (Ф = 0°)
So, by calculating the maximum height of this end at Ф = 90°. we can calculate the length of the blade.
Now, we know that a general model equation of a circular simple harmonic motion is represented as : y = A sinωt + k ----- eq2
Where A is the amplitude that is, maximum displacement from mean to maximum position.
ω is the angular frequency.
Comparing eq1 and eq2:
A = 7
so the difference in blades end height at Ф = 0° and Ф = 90° is 7 feet.
Hence, the length of the blade is 7 feet.
