Answer: Large box 1 can hold 64.67 inches; Large box 2 can hold 56.19 inches.
Step-by-step explanation:
Small box: 162 inches.
Large box 1: 10476 inches.
Large box 2: 9102 inches
Number of small box that can be contained in large box 1= 10476/162 = 64.67
Number of small box that can be contained in large box 2 = 9102/162 = 56.19
If my friend uses division to determine and said Large Box 1 can hold 64 small boxes and Large box 2 can hold 56 small boxes. The error in his reasoning was that he didn't approximated to whole number. He should have written the figure completely or to 2 or 3 decimal places.
Answer:
286 possible outcomes.
Step-by-step explanation:
We have been given total 13 identical marbles
We need to select 10 out of 13
We will use combination:
![^nC_r=\frac{n!}{r!(n-r)!}](https://tex.z-dn.net/?f=%5EnC_r%3D%5Cfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D)
here,n=13 and r=10 on substituting the values in the formula we get:
![^13C_{10}=\frac{13!}{10!(13-10)!}](https://tex.z-dn.net/?f=%5E13C_%7B10%7D%3D%5Cfrac%7B13%21%7D%7B10%21%2813-10%29%21%7D)
![^13C_{10}=\frac{13\cdot 12\cdot 11\cdot10!}{10!\cdot 3!}](https://tex.z-dn.net/?f=%5E13C_%7B10%7D%3D%5Cfrac%7B13%5Ccdot%2012%5Ccdot%2011%5Ccdot10%21%7D%7B10%21%5Ccdot%203%21%7D)
![\Rightarrow ^13C_{10}=\frac{13\cdot12\cdot11}{3\cdot2\cdot1}](https://tex.z-dn.net/?f=%5CRightarrow%20%5E13C_%7B10%7D%3D%5Cfrac%7B13%5Ccdot12%5Ccdot11%7D%7B3%5Ccdot2%5Ccdot1%7D)
![\Rightarrow 286](https://tex.z-dn.net/?f=%5CRightarrow%20286)
So, there are 286 possible outcomes.
Answer:
a-The figures have 4 sides
- No, all of them have 4 sides
b-The figures have at least 2 pairs of parallel sides
c-The figures have perpendicular lines
- No, only one figure has perpendicular lines
d-The figures have at least 3 lines of symmetry
Answer:
I hope this helps but I'm not sure