Let's just go through all possible answers and see which ones give what you are asking for.
1
the Total number of marbles is 10
You have 2 blue marbles
P(blue) = 2/10 = 1/5 which is not a good answer.
2
There are 3 red marbles.
P(red) = 3/10 = 0.3 which is greater than 1/5 <<<< Possible answer.
3
3 red marbles out of 10 = 3/10
2 blue marbles = 2/9
Probability of (red then blue)= 3/10 * 2/9 = 1/15 which is not greater than 1/5
4
1 white marble replacing it and white again.
1/2 * 1/2 = 1/4 which is greater than 1/5 <<<<<<<< Answer
5
There are 5 white marbles. 5/10 is the probability of drawing a white. P(white) = 1/2. That is greater than 1/5.<<<< Possible Answer
Answers 2,4,5
They are equal in length because squares that have the same area must have equal side lengths.
Answer:
Step-by-step explanation:
The independent variable is the variable the experimenter changes or controls and is assumed to have a direct effect on the dependent variable. The dependent variable is the variable being tested and measured in an experiment, and is 'dependent' on the independent variable.
Answer:
the interest rate on this investment k = 0.05 or 5%
Step-by-step explanation:
Given that;
dp/dt = kp
dp/p = k dt
now we integrate on both sides
integral dp/p = integral k dt
ln p = kt + c
p =e^kt + c
p = ce^kt
Given that p = $180,000 is invested (when t = 0)
p = ce^kt
we substitute
180000 = ce^k×0
180000 = ce^0
180000 = c × 1
c = 180,000
we substitute the value in the equation
p = 180000e^kt
now given that the amount in the account after 17 years is $421,136
i.e at t = 17 and p = 421,136
we substitute
421,136 = 180000e^17k
divide both sides by 180000
421136/180000 = 180000e^17k / 180000
e^17k = 2.3396
17k = In(2.3396)
17k = 0.8499
k = 0.04999 ≈ 0.05
therefore the interest rate on this investment k = 0.05 or 5%