Answer: 31.25%
Step-by-step explanation: 8 + 15 + 25 = 48, then 15 / 48 = 0.3125. that's 31.25%
Answer:
Total derangement = 4
Step-by-step explanation:
To find - How many derangement of {1, 2, 3, 4, 5, 6} begin with the integers 1, 2, and 3, in some order?
Solution -
Given that,
The first three numbers are 1, 2, 3
The only derangement possible are - 231 and 312
Now,
The remaining elements 4, 5, 6 are the 4th, 5th and 6th number in the derangement
Now,
In order for the permutation of the derangement, the only possibility for 123 are 564 and 645
∴ we get
The Total derangement are -
231564
231645
312564
312645
So,
Total derangement = 4
Answer:
Each of these equations solves as 1, because each one of them is an instance of the same expression being divided by itself.
This will <em>always</em> give you a value of 1, as long as the denominator does not end up with a zero value.
Take for instance the third question:

This stands true with all three questions.
HOWEVER
I say this assuming that the 5 following the first brackets in the first question is meant to be an exponent, and not a multiple. Given that the norm is to make any numeric multiples precede the brackets, I assume it is an exponent. and we're good.
It's not using superscript though, which could mean that they want it multiplied by five instead of raised to the power of.
If that's case, we can solve it the same way we solved question 20. If the bases are the same, then when multiplying or dividing the terms, you can simply add or subtract the exponents respectively:

Again, this is probably not the correct answer for question 18, as that 5 is almost guaranteed to be meant as an exponent. If it is instead a coefficient though, then this would be the answer to it.
Answer:
0.6625
Step-by-step explanation:
To find the surface area, calculate the area of each shape and add it together, A pyramid has 1 square and 4 triangles in its net,
Area of square is A=s*s=0.25*0.25=0.0625.
Area of a triangle is A= 1/2 b*h = 1/2 (0.25)(1.2) = 0.15.
There are four equal triangles so together there area is 4*0.15 = 0.60.
Add the square to it and you have the surface area of the pyramid.
0.0625 + 0.60 = 0.6625