A bucket containing 5 2/5 gallons of water is 2/7 full. How many gallons of water is in one fully filled bucket?

 We are asked to convert kg to pounds using the given relation. Letting x to represent the lb we are looking for.

Nest, we set the proportion with kg in the numerator and lb on the denominator as follows.

We find the value of x by cross-multiplication

The value of x is 110 lb.

Given the equation F(z)=9z+28

To find the value of F(z), we need to vary the value of z. In this case, z is the independent variable while F(z) is what we measure, which is the dependent variable.

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.

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

 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 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.

A histogram depicts the frequency of a one variable over the other while a bar graph is used to compare two variables with vertical axis representing the heights. Therefore, a histogram will be used to represent percent of the number of students reading after 9.

percentages are fractions with denominator equal to 100. To get the decimal form of the percent given, e divide the value by 100.

The decimal form of 58.7% is 0.587.

The circumference of a circle is given by the formula:

C=πd

where:

• d=16 inches
• π=3.14

Calculate the Circumference:

C=3.14×16 =50.24inches

we convert the given value in yards to the cm by setting up the equation below.

2 yards is equal to 182.88 cm, which is approximately 180 cm.