Answer:

Step-by-step explanation:
We are given the length of the whole line and its two halves. Since JK and KL make up the line JL, adding them together would make the line JL.




Now we can plug the value of
back into the expression we were given for the line KL.


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.
It would be 113 because 5x113 would equal 565
(4+5i)(4-5i)=(4)²-(5i)²=16-25(i)²=16-25(-1)=16+25=41
Answer:
3 3/4 cups
Step-by-step explanation:
We need 3/4 cups of beans for 7 servings, and we need to figure out how many cups we need for <em>35 servings</em>. You'll notice that 7 times 5 is 35. We can multiply 3/4 by 5 to find the answer to our problem. This thought process looks somewhat like this:

Notice that we can multiply 5 by 3/4 to find the value of x.
So, 3/4 times 5 is equal to 15/4, or 3 3/4. So, you need 3 3/4 cups of beans for 35 servings.
Hopefully this was helpful! If you have any more questions, let me know.