Answer:
Hamish and Harry work as plumbers. Harry earns a dollar an hour more than 5/4 the amount hamish earns per hour. harry earns per hour is 2$ less than 7/5 the amount hamish earns per hour. how much do each of them make an hour
Step-by-step explanation:
Let
x is the amount Harry earns
y is the amount Hamish earns
x=(5/4)y+1 ⇒ (x-1)*4/5 = y-------- equation 1
x=(7/5)y-2⇒ (x+2)*5/7 = y-------- equation 2
equals 1 and 2
(x-1)*4/5 = (x+2)*5/7
(4x-4)/5 = (5x+10)/7
(4x-4)*7 = (5x+10)*5
28x-28 = 25x+50
28x-25x = 50+28
3x = 78
x = 26
substitute x = 26 for y=(x-1)*4/5
y = (x-1)*4/5
y = (26-1)*4/5
y = 20
the answer is
<h3>Harry earns $26 an hour</h3><h3>Hamish earns $20 an hour</h3>
The answer to the question is y=-4x+23
Answer:
9 and 18
Step-by-step explanation:
Answer: 25
Step-by-step explanation: got it wrong and got the answer Took 1 for the team
Answer: 0.0241
Step-by-step explanation:
This is solved using the probability distribution formula for random variables where the combination formula for selection is used to determine the probability of these random variables occurring. This formula is denoted by:
P(X=r) = nCr × p^r × q^n-r
Where:
n = number of sampled variable which in this case = 21
r = variable outcome being determined which in this case = 5
p = probability of success of the variable which in this case = 0.31
q= 1- p = 1 - 0.31 = 0.69
P(X=5) = 21C5 × 0.31^5 × 0.69^16
P(X=5) = 0.0241
