Answer:
96.275 < µ < 111.725
Step-by-step explanation:
For our sample:
n = 36, x = 104
The population standard deviation is: σ = 18
We need a 99% confidence interval. Since our sample size is greater than 30, we use the z-score of 2.575.
See attached photo for construction of confidence interval
I realize the double number line in this exercise can be as shown in the attached image, in that case, the table, correctly completed is:
Eggs Time (hours)
3 <u>75</u>
<u>4</u> 100
12 <u>300</u>
Method to complete the table.
First, you must see the double number line (attached image), in this we identify a hen needs 25 hours to lay 1 egg, by this reason, to identify the time required for a certain number of eggs, just multiply the number of eggs by 25 (the number of hours shown on the double number line), then:
To calculate the number of eggs taking into account the time, you must divide the hours by 25:
In this way, <u><em>you can check that the answers are 75, 4, and 300 respectively, to complete the table in the correct form</em></u>.
You can review more exercises and test your new knowledge about the double number line at the following link: brainly.com/question/13553589?referrer=searchResults
Answer:
25x² + 144 = (5x + 12i) (5x - 12i).
Step-by-step explanation:
We have to factorize the expression 25x² + 144, using the complex number.
Now, can be treated as the complex number as there is negative value with in square root.
So,
Therefore, we can write the original expression as
25x² + 144
= 25x² - (i²)(144)
= (5x)² - (12i)²
= (5x + 12i) (5x - 12i)
So, the factorization is 25x² + 144 = (5x + 12i) (5x - 12i). (Answer)