K4qkew5
2 answers:
You might be interested in
4.
known side: opposite (150m)
unknown sides: adjacent and hypotenuse
using Tan to find the distance from the tower's base to the key.
why do we use Tan to find the distance?
the tower creates an angle of 72 degrees with the ground, which will be called α, and it is 150m high from the ground which is opposite ∠α. (shown in picture). we can see that the distance from the base of the tower to the key is the adjacent of the ∠α.
Tan α = opposite / adjacent
=> Tan 72° = 150 / x
=> x = 150 / Tan 72°
=> x = 48.73795443 m = ~48.7m
5.
4.
known side: opposite (150m)
unknown sides: adjacent and hypotenuse
using Sin to find the distance that the ant travelled.
why do we use Sinn to find the distance?
the tower creates an angle of 72 degrees with the ground, which will be called α, and it is 150m high from the ground which is opposite ∠α. (shown in picture). the ant travelled along the tower's body, which is the hypotenuse of the triangle, from the top until reaching the ground.
Sin α = opposite / hypotenuse
=> Sin 72° = 150 / x
=> x = 150 / Sin 72°
=> x = 157.7193336 m = ~157.7m
6.
(using unrounded numbers to calculate because there is a small difference in results if using the rounded numbers)
c^2 = a^2 + b^2 (pythago)
157.7^2 = 150^2 + 48.7^2
24875.3882 = 24875.3882 (correct)
Answer:
The average hold time is 10.47 minutes.
Step-by-step explanation:
Let <em>X</em> = time the customers of a phone-in technical support business spend on hold.
The population mean of the random variable <em>X</em> is, <em>μ</em> = 11 minutes.
The population standard deviation of the random variable <em>X</em> is, <em>σ </em>= 1.16 minutes.
A random sample size, <em>n</em> = 62 callers are selected.
According to the Central limit theorem if large samples (<em>n</em> > 30) are selected from an unknown population with mean <em>μ</em> and standard deviation <em>σ</em> then the sampling distribution of sample mean () follows a Normal distribution.
The mean of the sampling distribution of sample mean is:
The standard deviation of the sampling distribution of sample mean is:
It is provided that .
Compute the value of <em>a</em> as follows:
The value of <em>z</em> for the above probability is, <em>z</em> = -0.806.
The value of <em>a</em> is:
Thus, the average hold time is 10.47 minutes.