Expanded Exponential Form:
<span><span>3 × </span></span>

<span><span>+<span>3 × </span></span></span>

<span><span>+<span>7 × </span></span></span>

<span><span>+<span>0 × 1</span></span></span>

<span><span>+<span>6 × </span></span></span>

<span><span>+<span>0 × </span></span></span>

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Answer:
Continuous random variables: c and e
Discrete random variables: a, b, d
Step-by-step explanation:
We have to identify whether the random variable is discrete or continuous.
- A discrete variable is a variable whose value is obtained by counting.
- A continuous random variable X takes all values in a given interval of numbers.
- Thus, a continuous variable can have values in decimals but a discrete random variable cannot take values in decimals.
a. The number of statistics students now reading a book.
Discrete random variable since number of students cannot take decimal values.
b. The number of textbook authors now sitting at a computer.
Discrete random variable since number of textbooks cannot be expressed in decimals but counted.
c. The exact time it takes to evaluate 27 plus 72.
It is a continuous random variable as it may take all values within an interval of time.
d. The number of free dash throw attempts before the first shot is made.
It is a discrete random variable since the number of throws can always be whole number.
e. The time it takes to fly from City Upper A to City Upper B.
Time is a continuous random variable.
Answer:

or

Step-by-step explanation:
Let
x ----> the additional pounds of plant food needed for the landscaper
we know that
The additional pounds of plant food needed for the landscaper plus the pounds in his truck plus the pounds in his shop must be equal to the total pounds of plant food needed
so
The linear equation that represent this problem is

Convert mixed number to an improper fractions


Substitute in the expression above

solve for x
Multiply by (4*6) both sides to remove the fractions

Combine like terms left side

subtract 46 both sides


Divide by 24 both sides

simplify

Convert to mixed number

In order to rationalize the denominator of each expression, we need to multiply the expression by the same radical in the denominator, this way we can remove the radical from the denominator.
9)

10)

11)

12)
Using the formula for the volume of a pyramid, we get <span>29166 2/3 units. Hope this helps!</span>