There are 188 people on the trip and their total cost for the bike tour was $5040. There were twelve more adults than seniors on

Answer:

At a confidence level of 90%, the margin of error is calculated to be 0.5133 grams.

Step-by-step explanation:

The formula for margin of error (E) is: (critical value × sample standard deviation) ÷ sqrt(n)

The sample standard deviation is 1.5 grams.

A 90% confidence level translates to 0.9.

Significance level is determined as 1 - C, which equals 1 - 0.9 resulting in 0.1 or 10%.

The sample size (n) is 25.

Degrees of freedom are calculated as n - 1, which is 25 - 1 equaling 24.

The critical value (t) for 24 degrees of freedom at a significance level of 10% is found to be 1.711.

Using these values, we calculate: E = (1.711 × 1.5) ÷ sqrt(25) = 2.5665 ÷ 5 = 0.5133 grams.

Response: 100

Detailed breakdown:

The equations to determine the price in dollars for each large candle, x, and small candle, y are and .

Detailed explanation:

In this scenario, a customer bought 3 large candles and 4 small candles for a total of $64. Another customer paid $4 more for 1 large candle and 8 small candles at the same store. The prices of large and small candles remain constant. To identify the equations for determining the price in dollars of each large candle (x) and small candle (y), we can see the following:

Let the price of each large candle be x and each small candle be y. Thus,

A customer at a shop paid $64 for 3 large candles and 4 small candles

This results in the equation:

⇒ .....(1)

The second customer at the store paid $4 more than the previous customer for 1 large candle and 8 small candles.

This gives us the equation:

⇒ .......(2)

3(2)-(1) i.e.

⇒

⇒

⇒

Therefore, the equations to calculate the price in dollars for each large candle, x, and small candle, y are and .

Answer:

The justification is the subtraction property of equality

Step-by-step explanation:

I simply applied it.