Simplify 9^2 over 9^7 9^5 1 over 9^9 1 over 9^-5 1 over 9^5

How would you show your work in the question "A fence is being built around a rectangular garden that is 8 1/2 feet by 6 1/3. Fe

Semenov [28]

Answer:

Explanation

Step-by-step explanation-

Find the perimeter:

8 1/2 + 8 1/2 + 6 1/3 + 6 1/3

17 + 12 2/3

29 2/3 feet.

Then, divide it by 2/3 for the panels:

29 2/3 =

89/3 / 2/3 =

19 7/9

Tada!

4 0

3 years ago

What is the common ratio of the geometric sequence below?

Vadim26 [7]

Answer:

$\textbf{Option C - $0.1$}\\$

Step-by-step explanation:

$\textup{A geometric series is given by}\\$ a, ar, ar^2, ar^3,. . . , ar^{n-1}, ar^n $ \\\textup{\textbf{Geometric progression or GP is a sequence of numbers in which the next number in the sequence is obtained by multiplying a number to the previous number in the sequence.}}\\$

$\textup{This number is constant through out the sequence and is denoted by $r$. it is given by $r = \frac{ar^n}{ar^{n-1}}$} \\$

$\textup{Here, the given sequence is: $70, 7, 0.7,...$}\\$

$$i.e., a = 70, ar = 7$\\$

$\textup{Hence, $r = \frac{ar}{a} = \frac{7}{70}$ }\\$

$= \frac{1}{10} = 0.1$

7 0

3 years ago

Roll a pair of dice until it lands doubles.What is the probability you will get the first doubles within three rolls? (Correct t

mr Goodwill [35]

Answer:

Probability of rolling doubles in first three roles = 0.4124

Probability of it taking between 5 to 7 rolls = 0.1988

Step-by-step explanation:

Let's start by the total number of possible outcomes. This is 6 for one dice, and 6 for the other. So in total that's 6 x 6 = 36 different outcomes of the dice roll.

The number of ways we can roll a double is 6.

So the probability of rolling a double would be the number of ways to roll a double divided by the total possible outcomes.

This is : $\frac{6}{36}$ = 0.1667

The probability of NOT rolling a double: 1 - 0.1667 = 0.8333

Since the probability of rolling a double is equal to 1 - probability of not rolling a double, we can answer the first question in the following way.

The probability of NOT rolling a double for the first THREE turns: 0.8333 x 0.8333 x 0.8333 = 0.5786

Probability of rolling a double in first THREE turns: 1 - 0.5786 = 0.4124

The probability it will take between 5 to 7 rolls would be:

EQUATION 1: (probability of rolling no doubles in first 4 turns) x (probability of rolling a double in the next three turns)

Since we have already found the probability of rolling a double in three turns to be 0.4124, all we need to find is the probability of NOT rolling a double in the first four turns.

This is: 0.8333 * 0.8333 * 0.8333 * 0.8333 = 0.4822

Plugging this into EQUATION 1 we get: 0.4822 * 0.4124 = 0.1988

5 0

3 years ago

Suppose 12% of students surveyed said they have tried riding a zip line.

Arisa [49]

Answer:

12.

12% of 100= 12.

6 0

3 years ago

Select Correct Answer From Drop Down Menu

BARSIC [14]

Answer:

Solution (-3, -5)

systems or linear equations

y = x - 2

y = 3x + 4

Step-by-step explanation:

-2,-2 ( 0,4

8 0

3 years ago