Answer:
<h2>36.14 pounds of 34% copper alloy and 9.86 pounds of 48% copper alloy</h2>
Step-by-step explanation:
First alloy contains 34% copper and the second alloy contains 48% alloy.
We wish to make 46 pounds of a third alloy containing 37% copper.
Let the weight of first alloy used be in pounds and the weight of second alloy used be in pounds.
Total weight =
Total weight of copper =
Subtracting 34 times first equation from second equation,
∴ 36.14 pounds of first alloy and 9.86 pounds of second alloy were used.
Answer:
36 inches
Step-by-step explanation:
The ratio is L:W = 4:3 = 48:?
if you divide 48 by 4 you get 12. So now do 12 times 3 to get 36! Whatever you do to one ration do the same to the other, I like to remember it that way.
Answer: Matched-pairs t-test
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
Once again we want to use the relationship stated earlier
Where A * B = C * D
Once again imagine that the segments in the given problem have letters
A = x
B = 12
C = x + 1
D = 9
Now we create an equation using the relationship
12 * x = 9(x+1)
now we solve using basic algebra
step 1 distribute the 9 to the x and the 1
9 * x = 9x
9 * 1 = 9
now we have 12x = 9x + 9
step 2 subtract 9x from each side
12x - 9x = 3x
9x - 9x cancels out
now we have 3x = 9
step 3 divide each side by 3
3x/3=x
9/3=3
we're left with x = 3
In binary tree there are
n ancestor at level n.
Proof :
Take P(0): At node level
0, it has no ancestors since this is a roo tnode.
Take P(1): At node level
1, it has one ancestor. The ancestor is the root, its parents which is at level
0.
Take P(K): A node level
K it has K ancestors. Its parent is at level K – 1.
Take P(K+1): At node K +
1 level have more than one ancestor than that of node at k level.
<span>Thus there are n ancestor
at level n in binary tree.</span>