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.)

The probability of finding the probability of a yellow ball is given by

Total number of balls in the bag=2+3+7=12 balls

The probability of drawing a yellow ball from the bag is 7/12.

we find the value of x by applying the absolute conditions to the given equation.

First, add 2 to both sides of equation

Add 10 to both sides of the equation

Next, we apply the absolute rule:

If u=a, a>0, then u=a or u=-a

In this case a=5, which is greater 0.

The first condition becomes

Solving for x

The second condition becomes

Solving for x

Then, the value of x is -4/3 or 2.

The perimeter of a shape is the sum of the lengths of all its sides.

Given Trapezoid:

• Top side: 10 cm
• Bottom side: 16 cm
• Left slant side: 5 cm
• Right slant side: 5 cm

Calculate the Perimeter:

10+16+5+5=36cm

we are asked to find the number of students enrolled in the nursing program using the percentages in the pie chart.

If we let x represent the number of students enrolled in the nursing program, we set a proportion equation with number of students on the numerator and percentages on the denominator.

Total percent in the pie chart is 100%, which equals 800 students. Then, 42% will represent

We solve the value of x by cross-multiplying the equation above.

Therefore, 336 students will enroll for a nursing program.

The range is a simple measure of statistical dispersion that shows the spread between the highest and lowest values in a data set.

Formula for Range:

Range=MaximumValue−MinimumValue

Example Calculation:

From the given box plot:
Identify the maximum value: 92

1. Identify the minimum value: 12
2. Subtract the minimum from the maximum: 92−12=80

Thus, the range of this data set is 80.

We follow the order of operations to solve the given expression.

First, we start with the numerator and solve it as follows

[3(2+6*4)]

We start with multiplication in inner brackets, 6*4=24. The expression becomes

[3(2+24)]

Then, we conduct the addition of 2+24=26. Then, the expression becomes

[3(26)]=3*26=78

Now, we solve for denominator, which is 26/2=13.

Thus, the expression is reduced into

\(\frac{[3(2+6\ast4)]}{(26\div2)}=\frac{78}{13}=6\)

The expression reduces into 6.

 we use the calculator to determine the positive square root of 20, which is then multiplied by 20.

Using the calculator,

Multiplying the square root above with 5 becomes

The approximate value is 26.9.

9/26 is equivalent to 9÷26. The value becomes 0.3461538.

Thus, 0.35is the decimal equivalent of 9/26.

To find the cheapest option, we find the expenditure on each given option.:

2 two-24 packs of Orange and 1 pack of Cream Soda=2($15)+$3=$33

3 one 24-pack of Orange=3($9)=$27

2 packs of Root Beer and 1 pack of Cream Soda=2($14)+$3=$31

5 packs of cream Soda=5($3)=$15

Spending 5 packs of cream soda is the cost-effective option.

we are asked to find the number of gallons a full tank can hold. A full tank is equivalent to 1.

Convert the mixed fraction into proper fraction as follows

If we let x be the number of gallons in full tank, and setting up the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.

Cross-multiply to find the value of x.

Converting 189/10 to a mixed fraction is 18 9/10. Thus, when the tank is full, it holds 18 9/10 gallons of water.