The length of the rope needed is 15 feet
Given the following parameters;
- Height of the pole = 9 foot
- The distance from the <u>rope away from the base </u>of the pole is 12 feet
Required
To get the length of the rope, you will use the pythagoras theorem expressed as:
Substituting the given parameters:
c² = 9² + 12²
c² =81 + 144
c² = 225
c = √225
c = 15 feet
Therefore the length of the rope needed is 15 feet
Learn more on Pythagoras theorem here: brainly.com/question/231802
The 99 percent confidence interval for the true mean length of the bolt is CI = (2.8712, 3.1288)
<h3>How to find the confidence interval?</h3>
Confidence Interval is used to tell us the degree of certainty or uncertainty that is existent in a sampling method.
The general formula for confidence interval is;
CI = x' ± z(s/√n)
where;
x' is sample mean
z is z-score at confidence level
s is sample standard deviation
n is sample size
We are given;
sample size; n = 36
Sample mean; x' = 3 inches
standard deviation; s = 0.3 inches
confidence level = 99%
z at 99% CL = 2.576
Thus;
CI = 3 ± 2.576(0.3/√36)
CI = 3 ± 0.1288
CI = (2.8712, 3.1288)
Read more about Confidence Interval at; brainly.com/question/17097944
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Answer:
Step-by-step A bureaucrat who had no hope of advancing professionally still followed every rule, even when it slowed down his work and personal growth. According to the strain theory, what type of deviance does his behavior illustrate?
Answer:
Tenacious tennis: y=5x+120
Totally Tennis: 8x
Toys r us: y=20x
Lego club: y=17x+36
Step-by-step explanation:
y=cost x= tennis court usage charge
Tenacious tennis: y=5x+120
Totally Tennis: 8x
8.)
y=cost x=lego set
Toys r us: y=20x
Lego club: y=17x+36
Answer: x=30
Step-by-step explanation:
The sum of the angles must be 360.
4x+3x+3x+2x = 12x
12x = 360
x =360/12 = 30
