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You need to find the normalcdf(-∞, 1.69).   

z-score for a sample:  z  =  [ (sample mean) - (known mean) ] / [ (std. dev. / √(sample size) ]

z  =  [ 46.2 - 47 ] / [ 6.0 / √(16) ]  =  -.9428

Now find the normalcdf for a z-score this small (or smaller).

7 - 4x  =  21 + 3x

Get all the x-terms to one side by getting rid of the maller x-term:  add  4x  to both sides:

7 - 4x + 4x  =  21 + 3x + 4x

7  =  21 + 7x

Get the x-term alone on its side:  subtract 21 from both sides:

7 - 21  =  21 - 21 + 7x

-14  =  7x

Divide both terms by 7:

-2  =  x

There are various averages:

One is the mean:  this is found by adding all the numbers together and divide by the number of numbers:

                             (5 + 8 + 13 + 67 + 23) / 5   =   ?

Another is the median:  this is the middle number when they are arranged by size:

                              What is the middle number in this sequence:  5, 8, 13, 67, 23?

Another is the mode:  this is the number used most often. In this case no number is used more often than the                                       rest, so there is no mode.

30*6

60*3

90*2

20*9

The answer to this problem lies in the Pythgorean Theorom, which is a^2+b^2=c^2, where c is the hypotenuse (the unknown in this case). All you have to do is take the sqrt of 11^2+11^2. You can also find the answer by knowing properties of 45-45-90 triangles. Essentially in these trangles a=b and c=a*sqrt(2). So the answer is 11*sqrt(2).

1.772453851

2,000,000/ 80,000= 25

-4=y-2..

Add 2 to both sides and turn the equation around. y=-2

$$\underset{\,\,\,\,{\textcolor[rgb]{0.66,0.66,0.66}{\rightarrow {\mathtt{y}}}}}{{solve}}{\left(\begin{array}{l}{\mathtt{2}}{\mathtt{\,-\,}}{\mathtt{4}}={\mathtt{y}}{\mathtt{\,-\,}}{\mathtt{2}}{\mathtt{\,\small\textbf+\,}}{\mathtt{2}}\\
-{\mathtt{2}}={\mathtt{y}}\end{array}\right)} \Rightarrow {\mathtt{y}} = -{\mathtt{2}}$$

-4=y-2      add 2 to both sides

-2 = y       and there's your answer

3+9-3+3=12

Heck, geno...you beat me to it!!! LOL!!!

thats the exact way i needed it. thank you, youre amazing!

One way is by comparing logs:

log(2014^2015)  =  2015·log(2014) = 6657.679...

log(2015^2014)  = 2014·log(2015) = 6654.809...

Making 2014^2015 > 2015^2014.

"D" is correct........to find an inverse graph (if you have a good mind for pictures)....imagine the original graph being put in a mirror....then......rotate this image 90 degrees clockwise (i.e., a quarter turn clockwise).......that will be the inverse graph !!!

No, irrational........we have to be able to take a number completely out of a root in order for it to be rational.

Thus, for example......√4 and √9 are rational but √13 and √15, aren't......

"B" is correct......

90*2

By the Pythagorean Theorem..... b = √(40^2 - 35^2) = √375 = about 19.36

it is an average of all the number you add all of the numbers up and then divide by how many numbers there are and then you have a mean 

Sincerly,

Anonymous

"C" is correct...for an even function, f(-x) = f(x).......in other words, putting in a positive x value and its opposite x value into a function returns the same y value.....

v = √(64*84) = √5376 = about 73.32 ft/s

The correct answer is "C"

To see why......note that if we put 0 into the parent function, y = l x l,  then y = 0.

And if we put 0 into l x l - 2, we get y = -2. Thus, the original function is shifted down 2 units.