Mike's withdrawals will be treated as negative numbers.
Since Mike withdrew $60 three times, use the following equation to find the change in his balance:

The change in Mike's account balance will be
-$180.
The probabilities are:
- P(red) = 5/24
- P(orange) = 0
- P(blue) = 1/3
- P(not green)= 17/24
- P(green or black) = 11/24
- P(not yellow) = 1.
<h3>
How to find the probabilities?</h3>
The probability of getting a particular color of marble, is given by the quotient between the number of marbles of that color and the total number of marbles.
Here we have:
- 5 red marbles.
- 7 green marbles.
- 4 black marbles.
- 8 blue marbles.
So the total number is 5 + 7 + 4 + 8 = 24.
Then:
- P(red) = 5/24
- P(orange) = 0/24 = 0 (because there are 0 orange marbles).
- P(blue) = 8/24 = 1/3
- P(not green) = (24 - 7)/24 = 17/24
- P(green or black) = (4 + 7)/24 = 11/24
- P(not yellow) = 24/24 = 1 (because there aren't yellow marbles).
If you want to learn more about probability, you can read:
brainly.com/question/251701
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The equation of the car rental company in the form y = kx is; y = 18.50x
The equation y = kx is such that;
- k = constant of proportionality.
In essence; to determine the constant of proportionality, k in this case;
Since the company charges, $55.50 for 3 days; we have;
By evaluation k = $55.50/3
A constant rate of change means the variation in the dependent variable as dependent on the independent variable is constant
Read more:
brainly.com/question/19012756
Answer:
The decision made by the researcher based on this information is to reject the null hypothesis.
Step-by-step explanation:
Two-tailed hypothesis test:
Critical value: 
Test statistic: z
If
, we do not reject the null hypothesis.
If
, we reject the null hypothesis.
In this question:

Since
, we reject the null hypothesis.
The decision made by the researcher based on this information is to reject the null hypothesis.
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