Answer:
The positions can be filled in 150 ways.
Step-by-step explanation:
The order in which the people are chosen is not important. For example, A, B, C, D is the same outcome as B, A, C, D. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In how many ways can the positions be filled if 2 women and 2 men are hired?
2 women from a set of 6.
2 men from a set of 5.
So
The positions can be filled in 150 ways.
Answer:
One solution
Step-by-step explanation:
Group like terms: 
: 
Simplify: 
Add 11 to both sides
Simplify: 2b=4b+4
Subtract 4b from both sides
Simplify: -2b=4
Divide
And finally, you get -2
Leave a brainliest if this helped!
Answer:
5 feet.
Step-by-step explanation:
i) Adam walks 3 feet north
ii) Betty walks 4 feet west.
iii) We know that the angle between north and west is 90 degrees.
iv) Therefore we can say that distance Adam walks is the height of a right
angled triangle and the distance that Betty walks is the base of the right
angled triangle.
v) Therefore by using Pythogoras's Theorem we can calculate the length of
the line between Adam and Betty as shown
length of line between Adam and Betty = 
feet.
Answer:
- <u>$45</u> (with the assumption made below)
Step-by-step explanation:
The equation is garbled; thus, to explain you I will assume the equation is
Where:
- R(s) is the revenue in dollars, as a function of the number of seats occupied.
- s is the variable that represents the number of seast occupied
- 14 is the rate of change of the revenue per seat occupied (the price of a ticket).
- -325 is the fixed cost of the theater for a performance (the amount of money the theater will lose if none seat is occupied).
Thus, you can predict the revenue when 70 seats are occupied by substituting s with 70.
- R(70) = -325 + 980 = $655
The <em>residual value</em> from a prediction is equal to the real value (observed value) less the preducted value:
- Residual = real revenue - predicted revenue
- Residual = $700 - $655 = $45
Step-by-step explanation:
EZ = $0.15/min...eqn 1
Go = $40 + $0.05/min...eqn 2
let x be no of minutes then combine both eqns...
=> 0.15x = 40 + 0.05x...eqn 3
=> 0.1x = 40
x = 400
thus at 400mins both plans are equal
at 200mins go wit EZ...
total bill = $0.15 × 200 = $30.00
