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EmeraldWonder, only one of the questions is correctly answered.

Where did you learned to bullshit so affirmatively?

Yes you are in fact correct. When something is normally distributed, it means that the amount is a very common continuous probability distribution. The first three cannot be determined and it is not naturally distributed.

While the last one is something that is measured to be distributed correctly.

Did you learn this naturally or were you mentored by a professional bullshitter?  Whatever the case, you are good at it. That’s for sure!

Note to Admin: Please bring the atomic-powered sewage treatment plants online. It’s getting deep, here! 

In the mean time, I need a heavy-duty pair of hip boots...and a new shovel ...an assortment of flowering plants ...

GA

There are four points.

The slope of the line is (281-17)/(48-3) = 88/15, so for each 15 lattice points to the right of 3 you move up by 88 lattice points. 

My dog just pointed out to my cat that the wind direction is presented (unconventionally) as a bearing, and not as a source, making it a partial tail wind.  EP’s solution would be correct if the plane was not ascending.   

GA

How many positive four-digit integers n have the property that the three-digit number obtained by removing the leftmost digit is one-ninth of n?

n=1000a+100b+10c+d                    where a,b,c and d are all single digit numbers.

n-1000a = n/9

9n-9000a=n

8n=9000a

8000a+800b+80c+8d=9000a

800b+80c+8d=1000a

100b+10c+d=125a

If a=1       

100b+10c+d=125       so the number is   1125

if a=2

100b+10c+d=250       so the number is    2250

if a=3

100b+10c+d=375       so the number is    3375

if a=4

100b+10c+d=500       so the number is    4500

if a=5

100b+10c+d=625       so the number is    5625

if a=6

100b+10c+d=750       so the number is    6750

if a=7

100b+10c+d=875       so the number is    7875

if a=8

100b+10c+d=1000       so the number is    9000    That is no good

if a=9

100b+10c+d=1125       so the number is  5 digits which is too big.

So there are exactly 7 four digit numbers that meet this description.

\(7^n\div\frac{1000!}{(500!)^2}=N \qquad N\in Z\\ \)

500! = 7*14* ....(71*7) * k                    where k is some integer that is not divisale by 7  (each k is a different interger)

500! = 7(1*2*3*.....*71)k = 7*71! * k

(500!)^2 = 49*(71)!^2 *k

1000! = 7*14* ......  142*7 *k    

\(\frac{1000!}{(500!)^2}\\ =\frac{7(142!)}{7*71!*7*71!}k\\ =\frac{(142!)}{71!*7*71!}k\\ =\frac{(7*14*21*....20*7)}{7(7*14*21* .... 10*7)*(7*14*21* .... 10*7)}k\\ =\frac{(7*20!)}{7(7*10!)*(7*10!)}k\\ =\frac{(20!)}{7*7*(10!)*(10!)}k\\ =\frac{k}{(10!)*(10!)}\\ =\frac{k}{49}\\\)

So I think the biggest  n must be less than or equal to 2          

I could easily have made stupid mistakes though.

Actually I think my answer could easily be rubbish.

1) The surface area of a cube is 486 square units. What is the volume of the cube in cubic units?

2) The volume of a circular cylinder is 100 cubic feet. If the radius of its base decreases by 10% but the height increases by 10%, what is the volume of the new cylinder in cubic feet?

3) The space diagonal of a rectangular prism with integer unit dimensions is 13 units. What is the volume of the rectangular prism in cubic units?

4) A 3cm*4cm*5cm rectangular metal block was put into a well that took the shape of a right circular cylinder. When the block was submerged, the water level in the container had increased by 0.5 centimeters. What is the base area of the well in square centimeters?

5) The base of a right circular cone has area 9pi square yards. The lateral surface of the cone has area 15pi square yards. What is the volume of the cone in cubic yards?

6) Prism A has 9 edges and each of its faces is a regular polygon with side length 18. Prism B has 18 edges and each of its faces is a regular polygon with side length 9. What is the ratio of the volume of Prism A to that of Prism B?  Enter your answer as a common fraction in simplest form.

Post one question at a time.

THEN

Learn from the answer before you post your next question.

I have closed this question.

Perhaps the following will help:

ok, I will answer.   

f(sqrt{x+1}) = 1/x for all x > or = to -1, x =/= 0. Find f(2).

\(f(\sqrt{x+1}) = 1/x\;\; for\;\; all\;\;x\ge -1,\quad x \ne 0. \\ Find \;f(2).\\ 2=\sqrt{x+1}\\ 4=x+1\\ 3=x\\ x=3\\ f(\sqrt{3+1}) = 1/3\\ f(2)=1/3\)

\(\dfrac{df}{dx} = 0 \Rightarrow x = -2,~0\\ \text{we want } f(0) = -f(-2) = L\\ f(0) = N\\ f(-2) = N-16\\ N = 16-N\\ N=8 \)

\(f(x) \in \mathbb{R} - (-8,8)\)

\(f(6x) \text{ has the same range as }f(x)\\ f(6x)+1 \text{ shifts the range of }f(x) \text{ 1 unit in the positive direction }\\ \text{so that the range of }g(x) = f(6x)+1 \text{ is } [-10,4]\)

< How would you know? >   

You wouldn't be able to tell your speed, because speed is a valid concept only when it's relative* to another object.  You could be able to know you were "moving" if you accelerated... because you would still have inertia.  

* Imagine you're in a train car going down the track at 60 mph.  You start walking at 3 mph in the direction of travel.  What is your speed?  Before you answer, remember that the earth under the train is moving about 1,000 mph... toward the east   While we're at it, let's take into account the speed that the planet is moving in its orbit around the sun, about 67,000 mph.  The point is, speed is relative, dependent on comparison with something else.        

.   

I cannot see the pic good enough to answer.

Is this 2 different question or what?

Well done lad

(1, 4, 5, 6, 7, 8, 9, 11, 14, 15, 16, 17, 18, 19)

Missing numbers: 2, 3, 10, 12, 13

It’s skipping by tens but don’t understand the 11

LOL!!!!.....no....I probably CAN'T solve this

But...probably....no one else can, either :  https://en.wikipedia.org/wiki/P_versus_NP_problem

Yea but it is still not very readable....

If you stuck that LaTex, the stuff that was contained between the dollar signs, in a LaTex box (you can find the LaTex icon in the ribbon)

then maybe it would display properly.

Failing that, you could just type it in normally.  And not copy it at all.

Exactly because nobody in the world has solved it