Which of the following is the best estimate of the number of centimeters (cm) in 9 yards? (Note: 1 yard=3 feet; 1 foot =12 inches; 1 inch =2.54 cm)

The volume V of a rectangular box can be calculated using the formula:

V=length×width×height

Given:

• Length = 8 metres
• Width = 5 metres
• Height = 3 metres

Now, calculate the volume:

V=8 m×5 m×3 m=120 m3

Thus, the volume of the box is 120 cubic metres.

The correct answer is B. 120 m³.

The polling organization has an average ratio of 2 answered calls for every 15 attempted calls. To find the expected number of answered calls for 150 attempted calls, we can set up a proportion based on this ratio.

Step 1: Set up the proportion

The ratio of answered calls to attempted calls is:

=

Where x is the number of expected answered calls for 150 attempted calls.

Step 2: Solve for x

Cross-multiply to solve for x:

2×150=15×x

300=15x

X =

x = 20

Conclusion:

The expected number of answered calls for 150 attempted calls is 20 calls.

The correct answer is C. 20 calls.

To find the median of a data set, we need to first order the data from least to greatest, then find the middle value.

Step 1: Order the data from least to greatest:

The original data set is:

12,19,7,14,22,26,15

Ordered from least to greatest:

7,12,14,15,19,22,26

Step 2: Find the middle value

Since there are 7 numbers (an odd number of data points), the median will be the middle value, which is the 4th number in the ordered list.

7,12,14,15,19,22,26

The middle value is 15.

Conclusion:

The median of the data set is 15.

The correct answer is B. 15.

We use the relation 1 L=1000 mL to convert L to mL.

The two options for converting between L and mL are

And

We use the first option to convert 6.5 L to mL as follows:

Thus, 6.5 L is 6500 mL.

The probability of finding a green ball is given by

Total number of balls in the bag=6+8+3=17 balls

Therefore, the probability of drawing a green ball from the bag containing 17 balls is 6/17.

We use the given slope to find the minimum length of the ramp. In this case, slope is the ratio of height to length of the lamp. Thus,

If we let x be the minimum length of the ramp. Then,

Substituting the value of slope into the above equation results in,

Solve for value of x by cross-products

X = 18 Feet

Thus, the minimum length of the ramp needed to provide access to a door that is 1.5 high is 18 feet.

Here, we are required to find the unit of measuring mass. The SI unit of mass is kilogram but other derived units are grams, milligrams, microgram and more.

A kilogram is a large quantity for measuring heavier objects but grams can used to measure small and light objects such as the mass of the mobile phone. Therefore, gram is the appropriate unit for measuring weight of a mobile phone.

A dependent variable is one that depends on the independent variable. An independent variable is one that when changed result in a change of another variable.

In this problem, if we change the brand of laptop, tax rate, and memory size, the price of the laptop changes. Thus, the cost of the laptop is the dependent variable.

Using a calculator to evaluate 15÷27 results in 0.5555555556. To two decimal places, the answer becomes 0.56.

Thus, 0.56 is the decimal equivalent of 15/27.

A. A=w(2w+1)

Explanation

The area of a rectangle is given by the formula:

A=length×width

Given that the length is one more than twice the width, we can express it as:

Length=2w+1

The width is simply w.

Now, substituting these into the area formula:

A=w(2w+1)

Thus, the correct answer is:

A=w(2w+1)