At Thanksgiving, Mrs. Jones overcooked the turkey so all but StartFraction 4 Over 5 EndFraction of it had to be thrown away. The

Response:

The right choice is;

We cannot determine a cause and effect association because several variables were considered

Detailed explanation:

Establishing a cause and effect relationship requires the following criteria;

1) There must be a time sequence where the cause occurs before the effect

The question does not clearly indicate if the divorce (the potential cause) occurred prior to the event

2) If the cause happens, the effect must follow

Thus, everyone who is unmarried should ideally be accounted for to establish a cause and effect relationship

3) The relationship should not be explainable by alternative factors

The query mentions that those who were married tended to be more physically active, maintain a healthy weight, and were non-smokers, all of which contribute to longevity.

Response:

The bike positioned higher on the y-axis is the one that has traveled a greater distance.

Step-by-step explanation:

If Dorrian charted the positions of the bikes with time in seconds on the x-axis and distance traveled on the y-axis, the x-coordinates for both bikes would align.

However, the bike that finished faster would achieve a higher y-coordinate, while the slower one trail behind with a lower y-coordinate.

Thus, the bike with the higher y-coordinate is the victor of the race.

Answer:

(A)(12, 9)

Step-by-step explanation:

Provided:

The starting point of the stencil's left edge is at (2, -1).

A designated point, referred to as Q on the stencil, is located at (4, 1).

Point Q divides the stencil in a 1:4 ratio.

We are tasked with determining the endpoint of the stencil.

Mathematically, Point Q segments the stencil internally in a 1:4 ratio.

For calculating the internal division of a line segment with initial point and end point in the ratio m:n, we apply the formula

, , Q(x,y)=(4,1), m:n=1:4

Consequently:

The selected choice is A.

Answer:

Option D) 7.90 g and 8.12 g

Step-by-step explanation:

The details provided in the question are:

Mean, μ = 8.01 g

Standard Deviation, σ = 0.06 g

The weights are distributed in a bell-shaped normal distribution.

Formula:

We need to determine the value of x for which the probability is 0.03.

P(X > x)  

Using the standard normal z table, we find that,

Thus, the value of 8.17 g separates the upper 3% of the weights.

P(X < x)  

From the standard normal z table, we derive,

Consequently, 7.90 separates the lower 3% of the weights.

Option D) 7.90 g and 8.12 g