Answer:
![4\sqrt[3]{7x}](https://tex.z-dn.net/?f=4%5Csqrt%5B3%5D%7B7x%7D)
Step-by-step explanation:
Look for the same stuff under the radical symbol. Here, that "stuff" is "7x". Only one answer choice has 7x under the radical.
_____
Here, there are no cubic factors under the radical that can be factored out—either in the problem expression or in the answer choices. If there were cubic factors, you'd want to remove them before making the comparison.
For example, ∛(56x) would be a like radical to ∛(7x) because a cubic factor of 2^3 = 8 can be removed to make it be 2∛(7x).
Answer:
384, 216, 290, 192, 384
1446, 1 roll
Step-by-step explanation:
For rectangular boxes, calculate the sum of each side, then multiply it by two.
Box 1: 2(18 x 5) + 2(18 x 4) + 2(5 x 4) = 364
Box 3: 2(11 x 8) + 2(8 x 3) + 2(3 x 11) = 290
Box 5 is a cube (all sides equal), so you can find 1 side's area and multiply it by 6.
Box 5: 6(8 x 8) = 384
For triangular boxes, calculate the edges, then find the triangular area using area = 0.5(base x height).
Box 2: (15 x 3) + (9 x 3) + (12 x 3) + 2(0.5)(9 x 12) = 216
Box 4: 2(13 x 2) + (10 x 2) + 2(0.5)(10 x 12) = 192
Total: 364 + 290 + 384 + 216 + 192 = 1446
Rolls of wrapping paper:
Area of 1 roll = 30 x 60 = 1800
Since 1446 is less than 1800, you only need 1 roll of wrapping paper.
Answer:
4.27%
Step-by-step explanation:
We have been given that college students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. We are asked to find the probability of college students that sleep for more than 9.6 hours.
We will use z-score formula to solve our given problem.
z = z-score,
x = Random sample score,
= Mean,
= Standard deviation.
Before substituting our given values in z-score formula, we need to convert 35 minutes to hours.
Now, we need to find 
.
Using formula 
, we will get:
Using normal distribution table, we will get:
Therefore, 4.27% of college students sleep for more than 9.6 hours.
Hi there! To round 10.95 to the nearest tenth, we find the number in the tenth place, which is 9 and look one place to the right. Round up if the number is greater than 5 or equal to 5 and round down if its less than 5.
The answer is 11.0 or just 11.
<em>Ed: Explanation below.</em>
<em />
11.00
10.99
10.98
10.97
10.96
10.95 Look at the 9. Then look to the right. Do I round up or down?
10.94
10.93
10.92
10.91
10.90
If the number is greater or equal to 5, you round up. If the number is smaller than 5, you round down. 9 is greater than 5, so we round up.
Therefore, the answer is 11.
Answer:
Length is 20 m and width is 4 m.
Step-by-step explanation:
Given:
Perimeter of the rectangular alley, 
Length is 5 times the width.
Let width be 
.
So, as per question,
Length,
Now, perimeter of rectangle is given as:
Plug in 48 for 
, 
for 
and for b.
Therefore, width is 4 m.
Length is 
m.
