There are 91 such ways in whih the volunteers can be assigned if two of them cannot be assigned from 14 volunteers.
Given that a school dance committee has 14 volunteers and each dance requires 3 volunteers at the door, 5 volunteers on the floor and 6 on floaters.
We are required to find the number of ways in which the volunteers can be assigned.
Combinations means finding the ways in which the things can be choosed to make a new thing or to do something else.
n
=n!/r!(n-r)!
Number of ways in which the volunteers can be assigned is equal to the following:
Since 2 have not been assigned so left over volunteers are 14-2=12 volunteers.
Number of ways =14
=14!/12!(14-12)!
=14!/12!*2!
=14*13/2*1
=91 ways
Hence there are 91 such ways in whih the volunteers can be assigned if two of them cannot be assigned.
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Answer:
80%
Step-by-step explanation:
Answer:
B. 
Step-by-step explanation:
Given:
(2, 4) and (2, -9)
Required:
Midpoint of the vertical line with the above endpoints
Solution:
Apply the midpoint formula, which is:
Where,
(2, 4) = (x_1, y_1)
(2, -9) = (x_2, y_2)
Plug in the values into the equation:
Answer:
The correct answer is True.
Step-by-step explanation:
Altitude: vertical distance either between the top and bottom of something or between a base and something above it.
The distance between the two schools on the map is (C) 4.2 inches.
<h3>
What is the distance?</h3>
- Distance is a numerical measurement of the distance between two objects or places.
- The distance can refer to a physical length or an estimate based on other criteria in physics or common usage.
- The distance between two points A and B is commonly expressed as |AB|.
To find the distance:
On the map,2 inches represents 5 miles.
Thus, we can write:
- 2 miles = 2 inches
- 1 mile = 2/5 inches ..... (1)
Since the actual distance between the two schools is 10.6 miles.
Multiplying both sides by 10.6 in equation (1).
- 10.6 miles = 10.6 × 2/5 = 21.2/5 = 4.24 inches.
Therefore, the distance between the two schools on the map is (C) 4.2 inches.
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The complete question is given below:
Kim is drawing a map of the different schools in her school district. she knows that her middle school is 10.6 miles away from the middle school that her best friend attends. if every 2 inches on the map represents 5 miles, how far apart will the two schools be on the map, to the nearest tenth of an inch?
(A) 0.2 inch
(B) 0.9 inch
(C) 4.2 inches
(D) 26.5 inches
