Answer:
b. geometric
Step-by-step explanation:
The terms don't have a common difference, but they do have a common ratio: 2. A sequence in which terms have a common ratio is a geometric sequence.
___
Differences are ...
2/3 -1/3 = 1/3
4/3 -2/3 = 2/3 . . . . not the same
Ratios are ...
(2/3)/(1/3) = 2
(4/3)/(2/3) = 2
(8/3)/(4/3) = 2 . . . . ratios are common between pairs of terms
5/6 of 18 = 15
2/5 of 15 = 6
She has 6 packages on Wednesday
Assuming that there are 8 names that are going to be used for a random order;
First, let's try to figure out how many possible ways the names can be arrange:
=8 choices x 7 choice x 6 choices x 5 ... x 1 choice (if you select person A to go first, they cannot be second as well, so that is why 8 choices is multiplied by 7 instead of 8)
This can also be written as 8!
The specific way that a random set of names is chosen by you and actually chosen is 1. Each name has a specific order, in each term so there can only be one possible way.
Therefore, P(order being chosen)=1/8!
Hope I helped :)
Answer:
Z = (pd + 59)/(2-p)
Step-by-step explanation:
to solve for z in the -p(d+z)=-2z+59 expression, we would open the bracket and then evaluate for the exact value of z
solution
-p(d+z)=-2z+59
-pd - pz = -2z + 59
collect the like terms
-pd -59 = -2z + pz
-pd - 59 = -z ( 2 - p)
divide both side by ( 2-p)
-pd - 59 /2-p = -z
since we are to solve for z and not -z , so we would multiply both sides by - sign
- (-pd - 59)/2-p = -(-z)
pd + 59/2-p = z
therefore
Z = (pd + 59)/(2-p)
Answer:
The door has a width of 6.26 feet, with a height of 12.52 feet.
Step-by-step explanation:
You can solve this by taking two pieces of information we're given:
1) the diagonal size of the doorway is 14 feet
2) the height of the doorway twice its width
First lets describe the width and height using the diagonal length. We can do that with the Pythagorean theorem:
w² + h² = 14²
Now we can use the relationship between the width and height to eliminate one variable:
w² + (2w)² = 14²
w² + 4w² = 14²
5w² = 196
w² = 39.2
w ≈ 6.26
So the door has a width of 6.26 feet, with a height of double that, 12.52 feet.
