A person weighed themselves at 160 lb. Three months later they weighed themselves at 130 lb. Which of the following is the percent of weight the person lost over 3 months? (Round to the nearest percent.)

To round 24.375 kg to the nearest tenth (0.1 place), follow these steps:

1. Identify the tenth place in 24.375:
   • Tenth place: 3 (24.375)
   • Hundredths place: 7 (the next digit after the hundredths place)
2. Apply rounding rules:
   • If the hundredths place is 5 or greater, round up the tenth place.
   • Since 7 is in the hundredths place, round 24.3 up to 24.4.

To determine the number of sophomore students, follow these steps:

1. Identify the total number of students:

1,276

1. Identify the percentage of sophomores:

29%

1. Calculate the number of sophomores:

(29%×1,276) = (29/100× 1,276) = 370.04

1. Round to the nearest whole number:

370

Based on the given case, the outcome of measuring the duration of opening the bank is the amount of transaction, the number of deposits, and the number of loans available. The three outcomes are dependent variables while the number of opening hours is the independent variable.

The range of a data set is calculated as:

Range=MaximumValue−MinimumValue

From the given bar graph:

• The minimum number of goals scored is 0.
• The maximum number of goals scored is 5.

Thus, the range is:

5−0=5

The scatter plot showing the relationship between the number of absences in a semester and students’ final exam scores. The trend shows that as absences increase, exam scores decrease.

This represents a Negative Correlation because:

• When one variable (absences) increases, the other variable (exam score) decreases.
• The points on the scatter plot trend downward from left to right.

The number of boxes is found by volume of the room divided by volume of one box.

Number of boxes

The room can hold 125 boxes.

 we use the relation 1 L=1000 mL to convert 3.9 L to mL as follows.

Thus, 3.9 L is 3900 mL.

 we need determine the radius of the circle before we can find the circumference of the circle from the given area.

Let r be the radius of the circle, then

Substituting the value of area

Dividing both sides by pi and taking square root on both sides yields

Now, the radius of the circle is 8 in. and the circumference of the circle is given by the relation:

 We are asked to make w the subject of the formula.

First, we rearrange the equation by to ensure w is on the right hand of the equation.

Then, divide both sides by r

Multiply both sides by y

The above equation can be rearranged into

Thus, the formula for finding the value of w is (x/ry)-(z/r).

We are asked to determine John’s uncle’s age relating to John’s age.

First, express John’s uncle’s age in terms of John’s age as follows

John’s age=k

John’s uncle’s age, u = 5k-12.

Thus, the relationship between Japheth’s uncle’s age to that of Japheth is u=5k-12.