Answer:
a. 120
b. 6
c. 0.05
Step-by-step explanation:
a) The ways Eduardo, Sarah, Maria, Jim, and Tyrone can arrive to the party is
5! = 5×4×3×2×1 = 120
The logic behind it is
- 5 different people can arrive first, after that
- 4 different people can arrive second, when first and second arrived is known,
- 3 different people can arrive third, then
- 2 different people can arrive fourth
- only 1 person left to be fifth.
b) Using the same logic, when first and last arrived is known, there is
3!=3×2×1=6 ways they can arrive in this case.
c) The probability that Eduardo will arrive first and Tyrone last is
the division of the ways Eduardo arrive first and Tyrone last by the ways 5 people can arrive 
If you want to leave a 15% tip, use the fact that 15% = 10% + 5%. Calculate 10% of the bill by moving the decimal point one position to the left. Then, take that number, divide it in half, and add the new amount to the original 10%
Answer:
x = 1/3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x + 4/9 = 7/9
Step 2: Subtract 4/9 from both sides.
x + 4/9 - 4/9 = 7/9 - 4/9
x = 1/3
4 times 4 is 16, think of it like 4 + 4 + 4 + 4.
Answer:
line g.
Step-by-step explanation:
We have been given a picture containing lines e, f, g and AR including plane S.
Now we have to find about which labeled line has no point of intersection with plane S.
We know that plane is a two dimensional quantity while line is a one dimensional quantity.
So there can be three cases:
case 1) line lies on the plane.
case 2) line intersects the plane.
case 3) line is parallel to the plane.
We have to choose third case as we are looking for the line
which has has no point of intersection with plane S.
From picture we see that only line g is parallel to S.
<u>Hence final answer is line g.</u>
