Answer:
A) 30 cubes.
B) 30 units³.
Step-by-step explanation:
A) 1. Calculate the volume of the rectangular prism, as following:
2. You have that:
- The length is:
- The width is:
- The heigth is:
3. Substitute these values into the formula:
4. The volume of one cube is:
5. The length of one side is:
6. Substitute this value into the formula:
7. The number of small cubes that can be packed in the rectangular prism is:
B) 1. The length, the width and the height of the rectangular prism in term of units cubes is:
2. Therefore, the volume of the rectagular prism in terms of the small cube and a unit cube is:
Let x be the lengths of the steel rods and X ~ N (108.7, 0.6)
To get the probability of less than 109.1 cm, the solution is computed by:
z (109.1) = (X-mean)/standard dev
= 109.1 – 108/ 0.6
= 1.1/0.6
=1.83333, look this up in the z table.
P(x < 109.1) = P(z < 1.8333) = 0.97 or 97%
Answer:
8
Step-by-step explanation:
( 12 + 3m ) / 2 = 18
12 + 3m = 18 x 2
12 + 3m = 36
3m = 36 - 12
3m = 24
m = 24 / 3
m = 8
Hello!
First you have to find what percentage prefers oranges with the current data
Add all the numbers up
150 + 220 + 235 + 185 = 790
Divide the amount that preferred oranges by the total amount of people that answered
185 / 790 = 0.23417721519
Since this is a long decimal we can multiply the fraction by the amount we want to know
185 / 790 * 2370 = 555
The answer is 555 people
Hope this helps!
Because it is like a plane. In order to have a plane, there must be at least 3 points. In a chair with three legs, the legs are all in the same plane.
