Answer:
A. Continuous, B. Discrete, C. Continuous, D. Continuous, E. Continuous.
Step-by-step explanation:
A. Area is a continuous unit. Then, the floor area of a kitchen is a continuous random variable.
B. Quantity is a discrete unit. Then, the number of bacteria in a particular cubic centimeter of drinking water is a discrete random variable.
C. The money amount is a continuous unit. Then, the dollar amount of the change in my pocket is a continuous random variable.
D. The pressure is a continuous unit. Then, the barometric pressure at a given location is a continuous random variable.
E. Time is a continuous unit. Then, the difference in reaction time to the same stimulus before and after training is a continuous random variable.
Answer: it will take 9 hours to empty the pool.
Step-by-step explanation:
The pool is shaped like a rectangular prism with length 30 feet, wide 18 ft, and depth 4ft. It means that when the pool is full, its volume is
30 × 18 × 4 = 2160 ft³
If water is pumped out of the pool at a rate of 216ft3 per hour, then the rate at which the water in the pool is decreasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence(initial amount of water in the pool when completely full).
d represents the common difference(rate at which it is being pumped out)
n represents the number of terms(hours) in the sequence.
From the information given,
a = 2160 degrees
d = - 216 ft3
Tn = 0(the final volume would be zero)
We want to determine the number of terms(hours) for which Tn would be zero. Therefore,
0 = 2160 - 216 (n - 1)
2160 = 216(n - 1) = 216n + 216
216n = 2160 - 216
216n = 1944
n = 1944/216
n = 9
Answer:
To solve one-step equations, we do the inverse (opposite) of whatever operation is being performed on the variable, so we get the variable by itself. The inverse operations are: Addition and subtraction. Multiplication and division.
Step-by-step explanation:
by it self.
Answer:
A. 1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
-5x - 1 ≤ -9
<u>Step 2: Solve for </u><em><u>x</u></em>
- Add 1 to both sides: -5x ≤ -8
- Divide -5 on both sides: x ≥ 8/5
Here we see that any value <em>x</em> greater than or equal to 1.6 would work as a solution.
Therefore, our answer is A. 1, as it doesn't work as a solution.
