Answer:
165 ways
Step-by-step explanation:
Selection deals with combination
There are a total of 11 from which 3 are to be selected
11C3 = 11!/3!(11-3)!
= 11!/(3!x8!)
=(11x10x9x8!)/(3x2x8!)
=11x10x9/6
=11x5x3 = 165 ways
Answer:
B
Step-by-step explanation:
A. these simply to 21 + 7x and 21 + 3x
- this one is incorrect because the 7x and 3x are different
B. these simplify to 10 + x and 10 + x
- this is the correct one since they are exactly the same
C. these simplify to 21x and 7x + 21
- these two are not the same because one expression has only a number with a variable but the other one has a number with a variable <em>and </em>another number
D. these simplify to 
and 
- in subtraction, the order of the 3 and the x matters, so the equations are not the same
- example: 6 - 4 = 2 but 4 - 6 = -2
Answer:
14.42inches
Step-by-step explanation:
Given the following
b = 5 in
c = 8in
we are to find the measure of the space diagonal line
Using the pythagoras theoreml
l^2 = b^2 + c^2
l^2 = 13^2 - 5^2
l^2 = 169 -25
l^2 = 144
l = 12in
To get the measure of the space diagonal line in the box, we will use the pythagoras theorem;
s^2 = l^2 + c^2
s^2 = 144 + 8^2
s^2 = 144 + 64
s^2 = 208
s= 14.42inches
Hence the required length ix 14.42inches
There are 15 different variations of nachos possible.
Answer: A.) For these data, as the number of at bats increases, the number of hits tend to increase.
This is because the points seem to trend upward as we move from left to right. This makes sense because the more attempts you get, the more hits you're expected to get.
Assume that someone has a batting average of 0.300; this means that if they got 1000 attempts, then we expect about 0.300*1000 = 300 hits. Now if they got 2000 at bats this time, then we expect about 0.300*2000 = 600 hits.
Of course things won't fit this perfectly since everything in life has random statistical error, but this gives a good idea of the upward trending data. The two variables (at bats and hits) are strongly related. We can say the variables have strong positive correlation.
