Answer:
2nd option: 2y=6x+8 and y=3x+4
Step-by-step explanation:
If you divide the first by 2, you get the second equation.
This means that both equations plot an identical line (they lie on top of each other /also known as "coincide"). This means, that there are infinitely many solutions.
In 2D (x-y plane for example), straight lines can have no solutions if they have the same gradient/slope/ they are parallel and different y-intercepts, because they will never cross.
Here, they have same gradient and y-intercept so all points on the line are valid solutions to the equation
1.99g+19.99
it’s a 19.99 fee, then for every game (g) you download it’s 1.99 extra.
Answer:
Step-by-step explanation:
Given that a university found that 20% of its students withdraw without completing the introductory statistics course.
Each student is independent of the other and there are only two outcomes
X no of students in the registered 20 is binomial with p = 0.2
a)the probability that two or fewer will withdraw.
=
b. Compute the probability that exactly four will withdraw.
=
c. Compute the probability that more than three will withdraw.
d. Compute the expected number of withdrawals.
E(x) = np = 4
Answer:
Step-by-step explanation:
The formula for continuously compounded interest is
A = P x e (r x t)
Where
A represents the future value of the investment after t years.
P represents the present value or initial amount invested
r represents the interest rate
t represents the time in years for which the investment was made.
A) From the information given,
P = $800
r = 4.5% = 4.5/100 = 0.045
t = 5 years
Therefore,
A = 800 x e^(0.045 x 5)
A = 800 x e^(0.225)
A = $1002
B) For it to double,
A = 2 × 800 = 1600
Therefore,
1600 = 800 x e^(0.045 x t)
1600/800 = e^(0.045t)
2 = e^(0.045t)
Taking ln of both sides, it becomes
Ln2 = 0.045t
0.693 = 0.045t
t = 0.693/0.045
t = 15.4 years
Answer:The answer is C
Step-by-step explanation:
