carla has two lengths of ribbon. one ribbon is 2 feet long. the other ribbon is 30 inches long.which length of ribbon is longer?explain.

Answers

Answer 1

Answer: 1 ft = 12 in
2 ft = 24 in
So the 2nd ribbon is larger

Answer 2

Answer: 1 foot = 12 inches
2 feet = 24 inches

24 < 30
so the ribbon that is 30 inches is longer

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How much principal, to the nearest dollar, should you invest at 4% in order to have $3,000 for a vacation to Europe in 3 years?

Answers

Amount = P(1 + r)^n
2P = P(1 + r)^5
(1 + r)^5 = 2
log (1 + r)^5 = log 2
5 log (1 + r) = log 2
log (1 + r) = 1/5 log 2 = log 2^(1/5)
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r = 2^(1/5) - 1 = 1.1487 - 1 = 0.1487

Therefore, interest rate is 14.87%

3000 = P(1 + 0.04)^3
log 3000 = log P(1.04)^3
log 3000 = log P + log (1.04)^3
log P = log 3000 - log (1.04)^3
log P = log (3000 / (1.04)^3) = log 2667
P = $2,667

A game has 3 possible outcomes, with probabilities p1, p2, and p3. The amount of money that you will win or lose for each outcome is v1, v2, and v3, respectively. What is the expression p1v1 + p2v2 + p3v3 equal to?

Answers

We have the following given
p1 - probability for outcome 1
p2 - probability for outcome 2
p3 - probability for outcome 3
v1 - amount of money that you will win or lose for outcome 1
v2 - amount of money that you will win or lose for outcome 2
v3 - amount of money that you will win or lose for outcome 3

Therefore,
p1v1 + p2v2 + p3v3 is the average money you win or lose in playing the game.

Answer:

Option b) The average amount you will win (or lose) per game in the long run

Step-by-step explanation:

What is 15 - 1/6n = 1/6n - 1

Answers

15-1/6n=1/6n-1
15+1=1/6n+1/6n
16=1+1/6n
16=2/6n
16=1/3n
16*3/1=n
therefore, n=48.........

Answer:

n=48

Step-by-step explanation:

What is 10 less than x

Answers

10 less than 'x' may be represented algebraically as the quantity (x - 10) .

There's no way to calculate its numerical value without knowing the value of 'x'.

Answer is x -10 Without knowing the value org x we can't calculate

If y varies directly with x. If x = 2, then y = 24. What is the value of x when y = 96? x =

Answers

Answer:

Step-by-step explanation:

The data set below represents the ages of 36 executives. Fine the percentile that corresponds to an age if 36 years old.

Answers

Answer: The percentile that corresponds to an age of 36 years old in the given data set is approximately 22.22%.

Step-by-step explanation:

To find the percentile that corresponds to an age of 36 years old in a data set representing the ages of 36 executives, we can use the following steps:

Step 1: Arrange the data set in ascending order.

- Let's assume the data set is as follows (in ascending order): 28, 30, 31, 32, 33, 34, 35, 36, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63.

Step 2: Calculate the rank of the given age.

- The rank is the position of the given age within the data set.

- In this case, the given age is 36 years old, and its rank is 8 because it is the 8th value in the data set.

Step 3: Calculate the percentile using the rank and the total number of data points.

- The percentile can be calculated using the following formula:

Percentile = (Rank / Total number of data points) x 100

- In this case, the total number of data points is 36 (since there are 36 executives' ages in the data set).

- Plugging in the values, we get:

Percentile = (8 / 36) x 100

Percentile ≈ 22.22 (rounded to two decimal places)

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