Answer:
<u>207.35 inches</u>
Step-by-step explanation:
The wheel is in the shape of circle. The height, here, basically gives the diameter.
So,
Diameter = 66 in
Radius is half of diameter, so radius is:
66/2 = 33 inches
r = 33
Now, the distance truck travels when 1 rotation is made is the length of the perimeter of the circular wheel, or the circumference.
The formula is:

Where C is circumference
r is the radius
Substituting, we get the answer as:

The distance covered is about <u>207.35 inches</u>
Answer: See explanation
Step-by-step explanation:
You didn't give the options but let me help out.
First, we need to convert 2 2/3 hours to minutes. This would be:
= 2 2/3 × 60 minutes
= 8/3 × 60 minutes
= 160 minutes
Since water goes over a waterfall at a rate of 162 1/2 gallons every 15 minutes. The the gallons of water going over the waterfall in 2 2/3 hours would be:
= (162 1/2 × 2 2/3hours) / 15 minutes
= (162 1/2 × 160) / 15
= 1733 1/3 gallon
The number 5 is a rational number, so you must be able to express it as a quotient, and you can. Dividing any number by 1 gives you the original number, so to express an integer like 5 as a quotient, you simply write 5/1. The same is true for negative numbers: -5 = -5/1
Answer:
The probability of selecting two Democrats and two Republicans is 0.4242.
Step-by-step explanation:
The information provided is as follows:
- A city council consists of seven Democrats and five Republicans.
- A committee of four people is selected.
In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.
The formula to compute the combinations of k items from n is given by the formula:

Compute the number of ways to select four people as follows:

Compute the number of ways to selected two Democrats as follows:

Compute the number of ways to selected two Republicans as follows:

Then the probability of selecting two Democrats and two Republicans as follows:

Thus, the probability of selecting two Democrats and two Republicans is 0.4242.