The American with Disabilities Act (ADA) requires that the slope of a wheelchair ramp be no greater than 1:12. Which of the following is the minimum length of a ramp needed to provide access to a door that is 1.5 feet above the sidewalk?

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.

The mean of a data set is the sum of all scores divided by the number of tests.

Total test scores = 83+86+76+88+97 = 430

Number of tests = 5

Mean test score = 430/5 = 86

The mean test score is 86.

We need to find the radius of the circle in order to find circumference of the circle. If we let r to be radius of the circle, then

Substituting 169π in place of area

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

The radius of the circle from the given area is 13 in. and the circumference of the circle is given by the relation:

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.

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.

To find the pounds equivalent of the kg given, we use the two options as given below.

OR

Since we want to remain with pounds, we use the second option and set up the equation below.

Thus, 65 kg is equal to 143 lb.

To find the cheapest option, we find the amount the consume will spend for each option given.:

• 2 packs of Orange and 1 pack of Cream Soda will cost $16+$5= $21
• 3 Packs of Orange will cost $16+$12=$28
• 2 packs of Root Beer and 1 pack of Cream Soda will cost 2($15)+$7=$37
• 5 packs of cream Soda will cost 5($7)=$35

From the above evaluation, the cheapest option will cost the consumer $21. Thus, buying 2 packs of Orange and 1 pack of Cream Soda will be cheaper to purchase compared to other options.

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

First, add 2 to both sides of equation

The absolute conditions are:

If   , a>0, then u=a or u=-a

In this case a=10, which is greater 0.

The first condition becomes

Add 2 to both sides of the equation

Divide both sides by 4

The second condition becomes

Add 2 to both sides of the equation

Divide both sides by 4

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

To find the circumference of a circular garden, we can use the formula:

C=π×d

Where:

• C = Circumference
• π = 3.14 (as given)
• d = Diameter

Step 1: Substitute the given values into the formula

The diameter d is 14 metres, so:

C=3.14×14

Step 2: Perform the multiplication

C=43.96 metres

Final Answer:

The circumference of the garden is 43.96 metres.

The correct answer is B. 43.96 metres.

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)