Hypotenuisance

Hello Guest!

Have you tried 4320?

Thanks for the A2A. I believe the answer is 111 ft.

Cheers!

Hey...have you tried 5.5?

Never mind, I think it is 4320 as we have 6 ways they can buy the pets. 

Cheers!

Thanks for the A2A. I believe the answer is 15*6*8, which is 720.

Let me know if it is correct. 

Cheers!

Thanks for the A2A. 

First, let's convert .92 into a fraction.

That would be 92/100. Now let's figure out the probability of 1 case of 1 number(there are 2 numbers, 8 and 9).

To have exactly 8 students, that would be \(\frac{92^8*8}{{100}^{9}}\) probability for 1 case. Compute that and you'll get .041.

To find the total number of cases in #8,  ​we can use the combination formula to get \(\frac{9!}{8!}\) which is simplified to 9. 

.041 multiplied by 9 is approximately .37.

Now we can figure out the probability for exactly 9 students.

It is .472. There is only one way we can sort 9 students from 9, so we keep it. 

.37+.472  is approximately 84.17%.

Cheers!

Thanks for the A2A. First, look at the last digit column. B only makes sense for 7, as 15-7 is 8. 

Also, look at the first digit column and you'll see that C is 5. 

If you add 588 and 297, the answer is 885, which means a is 8. 

7+5+8 = 20.

Cheers!

Thanks for the A2A. I'm going to explain this very briefly. 

61% is 61/100 in fraction form. Now, we can see the probability of just 1 case. 

"find the probability that exactly 3 of them use their smartphones in meetings or classes". We can do \(\frac{61^3*39^5}{{100}^{8}}\) and get approximately .002. 

However, there are many cases so we will have to put in values for the combination formula.

After you substitute, you will get \(\frac{8!}{5!*3!}\). That is a total of 56 cases.

Multiply .00204 and 56. The answer in decimal form is  .11424.

In percent form, it is 11.424%. 

Cheers!

If you look at the plot, there are 17 values. The middle value would be the 9th one. The 9th value listed is 2 minutes and 43 seconds. That is 163 seconds.

This is a simple application of trigonometry. The angle of elevation is the non-right angle touching the ground. We can call that angle theta. We already have the opposite side and we need the adjacent side. We can use tangent function to find it. Because tan 66 degrees = O/A, we can substitute to get 2.246 = 13/A. Divide 13 by 2.246 and you'll get 5.788 ft. 

Cheers!