Answer:
In this scenario, the solution for n is determined to be 16 when rounded up to the closest integer
Step-by-step explanation:
The following information has been provided for this case:
symbolizes the population standard deviation
signifies the preferred margin of error
The formula for the margin of error of the actual mean is given as:
(a)
In this case, the margin of error (ME) is 0.03, and to find n, we rearrange equation (a) to get:
(b)
With a confidence level of 80%, and the significance level being 
and 
, the critical value is 
. Plugging in these values into formula (b) results in:
Thus, the solution for this situation results in n=16, rounded to the nearest whole number
Answer:
- 8
Step-by-step explanation:
Given the expression
(3x² - 5)(4 + 4x²)
Each term from the second factor is multiplied by every term in the first factor, meaning
3x²(4 + 4x²) - 5(4 + 4x²) ← distribute both parentheses
= 12x² + 12
- 20 - 20x² ← combine like terms
= 12 - 8x² - 20
The coefficient for the x² term is - 8
The answer is found by dividing the total pages by the total time in minutes.
Calculating 7.5 divided by 9 equals approximately 0.8333, so Monica reads around 0.83 pages each minute on average.
Let's apply the Pythagorean theorem to determine whether a triangle could be formed.
Assuming we have two wooden dowels each measuring 8 inches, we can break one dowel in half, resulting in two pieces of 4 inches each.
Now we have three wooden dowels with lengths of 4 inches, 4 inches, and 8 inches.
According to the Pythagorean theorem:
a² + b² = c²
4² + 4² = 8²
16 + 16 = 64
34 ≠ 64
To form a triangle, the length of the cut wooden dowel needs to exceed that of the uncut dowel.
I also visually attempted this exercise on paper, cutting according to the assumed dimensions. No triangle can be constructed with these pieces.
