Utilizing the specified equation,
V = lwh
The volume for the prism illustrated is given by,
V = (x² - x / 4x + 1) (2x - 5)(24x² + 6x / x - 1)
By means of factoring,
V = ((x)(x - 1) / (4x + 1))(2x - 5)((6x)(4x + 1) / (x - 1))
By removing identical terms from both the numerator and the denominator,
V = (x)(2x -5)(6x)
The diagonal that crosses the interior of the cube is the longest segment. The hypotenuse corresponds to the longest side in a right triangle. In this case, the cube's diagonal serves as the hypotenuse of a right triangle, with the legs being the diagonal of one of its faces and one of its edges. The edges are the shortest sections and function as the legs of a right triangle where the face's diagonal acts as the hypotenuse.
Response:
e. 545
Detailed explanation:
In a survey sample containing n individuals, with a success probability of 
, and a confidence level of 
, the ensuing confidence interval for proportions is established.
Wherein
z denotes the z-score corresponding to a probability value of 
.
For this scenario, we find:
The estimate averages the two bounds. Thus 
95% confidence level
Consequently, z represents the z value corresponding to the p-value of 
, hence 
.
The lower boundary of this interval is:
In this query, L = 0.82. Therefore
Thus, the accurate response is:
e. 545
Answer:
No, she did not.
Step-by-step explanation:
Calculate the total expense for the food and then divide by 6. You will see that she falls short.
Answer:
7/24
Step-by-step explanation:
All the items being grilled collectively equal 1.
Each item represents a fractional portion of 1.
Combine 3/8 and 1/3, then subtract that sum from 1.
3/8 + 1/3 = 9/24 + 8/24 = 17/24
This means that veggie burgers and corn contribute to 17/24 of the total.
To determine the fraction accounted for by mushrooms, we take 1 and subtract 17/24.
1 - 17/24 = 24/24 - 17/24 = 7/24.
Final answer: 7/24
