I need help with 14 15 and 17 please
1 answer:
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Answer: The required number of ways is 25401600.
Step-by-step explanation: Given that seven men and seven women line up at a checkout counter in a store.
We are to find the number of ways in which they can line up, if the first person in line is a man , and the people in line alternate man, woman, man, woman and so on.
Since the first person is a man, so
for first position, we have 7 options.
There are alternate man and women in the line, so the second person must be a women.
That is, we have 7 options for the second position.
Similarly, for 3rd and 4th positions, we have 6 options for each, and so on.
Therefore, the number of ways in which the 14 persons can line up is
Thus, the required number of ways is 25401600.
Answer:
A) See attached.
B) Cheryl owes the bank more.
Step-by-step explanation:
Given account balances:
- John: -$2.75
- Cheryl: -$3.00
- Andrew: $2.75
(Andrew has as much savings in his account as the amount John owes).
<h3><u>Part A</u></h3>- Draw a straight, horizontal line with arrows on both ends.
- Place a tick in the center of the line and label it zero.
- Draw 4 evenly spaced ticks either side of the zero.
- Number the ticks to the right of the zero 1, 2, 3 and 4.
- Number the ticks to the left of the zero -1, -2, -3, and -4.
- Mark -2.75, -3 and 2.75 on the number line.
- Label the marks with John, Cheryl and Andrew.
(See attached number line).
<h3><u>Part B</u></h3>The <u>absolute value</u> of a number is its <u>positive numerical value</u>.
To calculate how much John and Cheryl owe the bank, take the absolute values of their account balances:
- John: |-2.75| = 2.75
- Cheryl: |-3.00| = 3.00
As 3.00 > 2.75, Cheryl owes the bank more.
