Two dice are rolled and their sum is a recorded.find each probability

Answers

Answer 1

Answer: 9. 12/36
10.14/36
11.0/36
12.36/36
13.8/36
14.12/36

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The highest point in California is Mount Whitney at 14,494 feet above sea level. The lowest point is the Death Valley at 282 feet below sea level (-282). What is the difference in elevations? How?

Answers

The difference in elevations is 14,776 feet.

It is required to find the difference in elevations.

What is elevation?

The action or fact of raising or being raised to a higher or more important level, state, or position. Elevation is distance above sea level. Elevations are usually measured in meters or feet. They can be shown on maps by contour lines, which connect points with the same elevation; by bands of color; or by numbers giving the exact elevations of particular points on the Earths surface.

Given:

The highest point in California is Mount Whitney at 14,494 feet above sea level. The lowest point is the Death Valley at 282 feet below sea level

The positive 14,494 plus the negative 282 feet would be a total of 14,776 feet.

So, the difference is 14,776 feet.

Therefore, the difference in elevations is 14,776 feet.

Learn more details about elevations here:

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Answer: 14,776 feet.

Step-by-step explanation:

The positive 14,494 plus the negative 282 feet would be a total of 14,776 feet.

So, the difference is 14,776 feet.

Find the area of a square with side a when a=2 in, a=12 in, and a=0.8 in. Are the area of a square and the length of its side directly proportional quantities? Why or why not?

Answers

Answer:

4 inches²

144 inches²

0.64 inches²

Yes, the area of a square and the length of its side directly proportional quantities.

Step-by-step explanation:

In this question, we have to find the area of square by changing the lengths of a side. Given lengths are: 2, 12, 0.8. I will evaluate the area of each side and try to find out the relation between area and length of side.

First, we start with the smallest length (a=0.8 inches)

Area of a square is calculated by taking the square of single side (since both sides are equal).

Area of square = a²

Area of square = 0.8²

Area of square = 0.64 inches²

Area of square with smallest side length (a=0.8 inches) = 0.64 inches²

Secondly, we start with the 2nd highest length (a=2 inches)

Area of square = a²

Area of square = 2²

Area of square = 4 inches²

Area of square with second largest side length (a=2 inches) = 4 inches²

Thirdly, we start with the highest length (a=12 inches)

Area of square = a²

Area of square = 12²

Area of square = 144 inches²

Area of square with highest side length (a=12 inches) =144 inches²

As we can see, with the increase in the length of a side, area of square is also increasing. Therefore, yes the area of a square and the length of its side are directly proportional quantities as the area increases or decreases when the length of the side increases or decreases.

Answer:

They are directly proportional quantities.

Step-by-step explanation:

DEFINITION

Two quantities are said to be directly proportional if an increase in one quantity lead to an increase in the other quantity.

Area of a Square = $Length^2$

Area of a Square of Length 2 inch = $2^2=4 \:square \:inch$

Area of a Square of Length 12 inch = $12^2=144 \:square \:inch$

Area of a Square of Length 0.8 inch = $0.8^2=0.64 \:square \:inch$

Arranging the sides and corresponding area in ascending order:

(0.8, 2, 12) = (0.64, 4, 144)

We notice that as the length increases, the area also increases.

Therefore, the area of a square and the length of its side are directly proportional quantities.

a rectangular prism has a volume 4x³+30×²+36x, what linear expressions can represent possible dimensions of the prism

Answers

$4x^3+30x^2+36x=2x(2x^2+15x+18)=2x(2x^2+3x+12x+18)=\n\n=2x[x(2x+3)+6(2x+3)]=2x(2x+3)(x+6)\n\nthe\ possible\ dimensions\ of\ the\ prism:\n\na=2x,\ \ b=2x+3,\ \ c=x+6\n\n \ \ and\ \ \ x \neq 0,\ x \neq - (3)/(2),\ x \neq -6$

Chris divided 1/2 pound of nails into 6 small bags. He wants all bags to have equal weight. How much does each bag weigh? A. 1/2 pound.B. 1/3 pound
C. 1/6 pound
D. 1/12 pound

Answers

D, 1/12 pound. A way to think of this is that if there is 1/12 in 6 different bags, you get 6/12, which is equivalent to 1/2

tamelas school day is 6 3/4 hours. She has seven classes that are 3/4 hour long. How many hours is Tamela not in class while she is at school

Answers

One hour And 30 minutes

Answer:

1 HOUR 30 MINS

Step-by-step explanation:

A bank approved 27 loan applications out of 150 applications in the month of September. What percentage of the loan applications were approved?

The bank approved [blank] −−−−−−% of all loan applications in September.

Answers

the percentage is 18%

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