Answer: 4/3 hours or 1 1/3 hours
Step-by-step explanation:
From the question, we are told that two mechanics, Martin and Gordon, are working on your car. Martin can complete the work in 4 hours, while Gordon can complete the work in 2 hours.
Since Martin can complete the work in 4 hours, that means in 1 hour, he will do 1/4 of the work.
Since Gordon can complete the work in 2 hours, that means in 1 hour, he'll do 1/2 of the job.
When they both work together, we will add their fraction of work done in one hour together. This will be:
= 1/4 + 1/2
= 3/4
This means that both of them will do 3/4 of the job in one hour. Then to get the time taken to get the whole job done, we divide 1 by 3/4. This will be:
= 1 ÷ 3/4
= 1 × 4/3
= 4/3 hours
= 1 hour 20 minutes.
In one
Let x be the population distribution.
p(25 ≤ x ≤ 33) = p((25 - 29)/4 ≤ z ≤ (33 - 29)/4) = p(-1 ≤ z ≤ 1) = p(z ≤ 1) - p(z ≤ -1) = p(z ≤ 1) - [1 - p(z ≤ 1)] = 2p(z ≤ 1) - 1 = 2(0.84134) - 1 = 0.68268 = 68%
p(21 ≤ x ≤ 25) = p((21 - 29)/4 ≤ z ≤ (25 - 29)/4) = p(-2 ≤ z ≤ -1) = p(z ≤ -1) - p(z ≤ -2) = [1 - p(z ≤ 1)] - [1 - p(z ≤ 2)] = p(z ≤ 2) - p(z ≤ 1) = 0.97725 - 0.84134 = 0.13591 = 13.5%
Answer:
(6, 0)
Step-by-step explanation:
There are a few different methods to solve system of equations. For this problem, you can use substitution by solving one of the equations for a variable and then substituting this expression into the other equation to solve for the remaining variable:
x - y = 6, add 'y' to both sides to solve for 'x': x - y + y = 6 + y or x = 6 + y
Using the expression '6 + y' for the value of 'x' in the second equation:
2x + 3y = 12 or 2(6+y) + 3y = 12 or 12 + 2y + 3y = 12 or 12 + 5y = 12
Subtract 12 from both sides: 12 + 5y - 12 = 12 - 12 or 5y = 0 so y = 0
Now that you know the value of 'y', you can solve for 'x':
x = 6 + 0 or x = 6
Put the values of 'x' and 'y' into an ordered pair: (6,0).
<span>Exponential decay are; the domain is all real numbers, the base must be less than 1 and greater than 0 and the function has a constant multiplicative rate of change. The answers are letters A, D and E. An example is w</span>hen there are 70000 bacteria
present in a culture and reduced by half every four hours, the number of
bacteria will decrease. The bacteria will experience an exponential decay
because it decreases its number at a constant decay.
