Answer: The ladder is 5.3 m long
Step by step solution
1. Draw out the scenario, ie a right triangle where the hypotenuse is the ladder, the wall is 4.5m and the angle the ladder and the ground makes 58 degree.
2. Soh, Cah, Toa
The wall is opposite, the ground is adjacent, and the ladder is hypotenuse
Sine (58) = 4.5/h
3. Solve for hypotenuse
h * sine (58) = 4.5
h = 4.5/sine (58)
h = ~ 5.3 m
Answer:
The 20th percentile of coffee temperature is 155.4532 degrees Fahrenheit.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 160 degrees
Standard Deviation, σ = 5.4 degrees
We are given that the distribution of temperature of coffee is a bell shaped distribution that is a normal distribution.
Formula:
We have to find the value of x such that the probability is 0.2
Calculation the value from standard normal z table, we have,
Thus,

The 20th percentile of coffee temperature is 155.4532 degrees Fahrenheit.
Answer is 20 by plugging the 4 in the equation it equals 20
Answer: 
Step-by-step explanation:
<u>Given inequality </u>

<u>The goal of the question</u>
To find the minimum and maximum of the relative humidities
For this question, we need to solve the inequality
<u>Simplify the absolute value sign</u>
or 
<u>Add 50 on both sides</u>
or 
or 
Hope this helps!! :)
Please let me know if you have any questions
Answer:
x = p/11, y = 13p/11
Step-by-step explanation: