The Diaz family bought a house for $240,000. The

How many ways are there for Alice, Bob, Charlie, David and Eve to line up from left to right, such that Charlie is somewhere to

steposvetlana [31]

Answer:

120 ways

Step-by-step explanation:

Alice, Bob, David, Charlie, Eve

David, Alice, Bob, Charlie, Eve

Alice,David, Bob, Charlie, Eve

Charlie, Eve ,Alice,David, Bob,

Charlie, Eve ,Alice, Bob, David,

Charlie, Eve ,David, Alice, Bob,

Alice,Charlie, Eve , Bob, David,

Alice,Charlie, Eve , David, Bob,

Bob,Alice,Charlie, Eve , David, and so .

This is a permutation question as the order of placing Charlie to the left of Eve is important.

So the total number of people n= 5 and the possible order is 4 keeping Charlie left of Eve. Eve cannot have the last position to keep Charlie on the left.

Using the formula of nPr = n!/ (n-r)! we get

5! / (5-4)! = 120 ways in which Charlie can be placed to the left of Eve.

6 0

3 years ago

63 first-year teachers and 27 experienced teachers attended a school staff meeting. What percentage of the teachers in the meeti

nexus9112 [7]

Answer: 70%

Step-by-step explanation:

Step 1:

Total number of teachers = 63 + 27

= 90

Step 2:

The percentage of the teachers in the meeting were first-year teachers:

(63 ÷ 90) × 100 = 70%

4 0

3 years ago

Find the domain and range of 1/t+2

kotegsom [21]

Answer:

Domain = (-∞, -2) ∪ (-2, ∞).

Range = (-∞, 0) ∪ (0, ∞).

Step-by-step explanation:

t can't have the value -2 because that would make 1/(t + 2) = 1/0 which is undefined.

So the domain is All real values of t. except t = -2.

As t approaches infinity or negative infinity f(t) approaches zero, and as t approaches -2 from below or above f(t) approaches negative infinity or positive infinity.

8 0

3 years ago

Suppose that a group of 10 students are to be assigned to four dorm rooms: a single, a double, a triple and a quad. How many way

Nesterboy [21]

Answer:

Total number of ways to select all sstudent to make assignment = 10×36×70×1 = 25200

Step-by-step explanation:

We have given number of students = 10

These 10 students are assigned to four dorm rooms a single, a double, a triple and a quad

So number of ways to assigned single student $=^{10}C_1=\frac{10!}{1!9!}=10\\$