Using everyday knowledge, indicate whether the if-then statements are correct forward-only or both forward and reverse.

Answer: C. Significant at 0.036

Step-by-step explanation:

Given:

Total samples selected Ns= 500

Airplanes that arrived on time Na = 482.

Airplanes that arrived late Nl = 500 - 482 = 18

Calculating the probability of an airplane arriving late:

P(L) = Nl/Ns

P(L) = 18/500

P(L) = 0.036

An event is deemed significant if its probability is equal to or less than 0.05.

As P(L) < 0.05

P(L) = Significant at 0.036

To calculate, simply multiply 12 by 0.15 or 15%, which equals 1.8. Then subtract 1.8 from 12, yielding $10.20 as the discounted price for the pizza.

I hope this is helpful

A is confirmed as correct since -13 falls within the domain of g(x), and 20 is included in its range. For g(x), the inequality holds: -20 < -13 < 5 and -5 < 20 < 45. B is incorrect since the number 4 exists within the domain of g(x), but -11 is not within its range, represented by -20 < 4 < 5 and -11 < -5. C is likewise incorrect, as it is stated that g(0) equals -2. D is also false since 7 does not belong to the domain of g(x).

Answer:

The answer is the scatter plot that displays a pronounced positive slope along the curve of best fit.

Step-by-step explanation:

A scatter plot illustrates the relationships between two variables for an individual. It is essentially a graph in which a best-fit curve is drawn to encapsulate the complete dataset. A scatter plot is considered to have a robust correlation if the correlation coefficient is near r = 1, indicating a very strong connection between the two variables.

A scatter plot exhibits a solid correlation when its data points are closely aligned to the line or curve of best fit.

For r = 1, the correlation is regarded as strong and positive.

ANSWER:

(-5, 0.5) serves as a solution for the equations x – 4y = –7, 0.2x + 2y = 0.

SOLUTION:

We start with the two equations: x – 4y = -7 → (1)

And 0.2x + 2y = 0 → (2)

We will verify if (-5, 0.5) is a solution.

To do this, we will resolve both equations.

Let’s multiply equation (2) by 2 to facilitate the cancellation of y terms.

This transforms equation (2) into:

0.4x + 4y = 0 → (3)

Now, combine equations (1) and (3), leading to:

1.4x + 0 = -7

Next, input the x value into (2)

0.2(-5) + 2y = 0

-1 + 2y = 0

2y = 1

y = 0.5

Thus, the result for the equations is (-5, 0.5).

Therefore, (-5, 0.5) is the solution to the equations.