Answer:
495 combinations of 4 students can be selected.
Step-by-step explanation:
The order of the students in the sample is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
How many combination of random samples of 4 students can be selected?
4 from a set of 12. So
![C_{n,x} = \frac{12!}{4!(8)!} = 495](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7B12%21%7D%7B4%21%288%29%21%7D%20%3D%20495)
495 combinations of 4 students can be selected.
Answer:
1,485 camera boxes
Step-by-step explanation:
1/2 ft is 6 inches. So, the cube-shaped camera box has side lengths of 6 inches. Meaning, the volume of the camera box is (6 * 6 * 6) inches^3, or 216 inches^3. Same principle for finding the volume of the container. 5 1/2 ft = 66 inches, 7 1/2 ft = 90 inches, and 4 1/2 ft = 54 inches. So, the volume of the container is (66 * 90 * 54) inches^3, or 320,760 inches^3. Since we are trying to find out how many camera boxes can fit in the container, we divide the volume of the container by the volume of one camera box. The problem looks like this: 320,760 / 216. The quotient, 1,485, is how many camera boxes that can fit inside the container, and is thus our final answer.
brainliest? please. I'll even say a joke if i have to
9514 1404 393
Answer:
D. y = -3x +4
Step-by-step explanation:
The slope-intercept form is ...
y = mx + b
where m is the slope (-3) and b is the y-intercept (4). Putting these values into the form gives ...
y = -3x +4 . . . . . matches choice D
Answer:
Q is -7
Step-by-step explanation:
Q×2+5=x
Q-2=x
Q=-7