The following are the ages (years) of 5 people in a room: 25, 18, 17, 13, 24 A person enters the room. The mean age of the 6 people is now 22. What is the age of the person who entered the room?

Answers

Answer 1

Answer:

Answer:

See Below:

Step-by-step explanation:

Average is take by adding all the terms together and dividing by the number of terms. In this case it terms is people in the room.

22= (25+18+17+13+24+x)/6

Where 22 is the average age. The numerator is all the known ages added together, plus x which is the age of the person who just entered. Divided by 6 because you are finding the average age of 6 people.

22 = (25+18+17+13+24+x)/6 Multiply both sides by 6

132= 97+ x Subtract 97 from both sides.

35 = x

The person who just entered the room is 35 years old.

Answer 2

Answer:

Final answer:

To solve this, we first find the total age of the original five people, then the total age of all six with the given mean age. By subtracting these, we find that the age of the person who entered is 35 years old.

Explanation:

This problem can be solved using simple arithmetic. First, we calculate the total age of the first 5 people, which is 25 + 18 + 17 + 13 + 24 = 97 years. Then, we need to determine the total age of all 6 people. We're told the mean (average) age of these 6 people is 22. We find the total by multiplying the mean by the number of people, so 22 * 6 = 132 years. Finally, to find the age of the person who entered the room, we subtract the total age of the first 5 people from this new total, i.e. 132 - 97 = 35 years. So, the person who entered the room is 35 years old.

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A researcher wants to determine if birthweights of children born to U.S. mothers is affected in any way when large megadoses of caffeine are consumed routinely by the mother during pregnancy. It is known that the birthweights are normally distributed with mean 7.5 pounds and standard deviation 1 pound. When drawing a sample of size 40 from such a population, and computing the mean birthweight in the sample, use the Central Limit Theorem to find the 2.5-th percentile of the distribution of sample means.

Answers

Answer:

7.19

Step-by-step explanation:

Two points located on jk are j (-1,-9) and k (5,3). What is the slope of jk?

Answers

Answer:

Slope = 2

Step-by-step explanation:

Slope = $(rise)/(run)$

Slope = $(3+9)/(5+1)$

Slope = $(12)/(6)$

Slope = 2

In the given case, we can conclude that The slope of the line JK is 2.

To find the slope of the line that passes through the points J(-1,-9) and K(5,3), we can use the formula: slope = $(y2 - y1) / (x2 - x1).$

The slope of a line is a measure of how steep the line is. It describes the rate at which the dependent variable (usually denoted as 'y') changes with respect to a change in the independent variable (usually denoted as 'x').

Plugging in the coordinates, we get:

slope = (3 - (-9)) / (5 - (-1)) = 12 / 6 = 2.

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The tank for a car holds 20 gallons of gas. The gasoline gauge shows the tank is 1/8 full. How much gas is still in the tank?

Answers

Answer:

3/4 of a tank =3/4(13) gal

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What is the solution of the system

Answers

$x - 2y = 4 \n x = 2y + 4 \n 3(2y + 4) + y = 5 \n 6y + 12 + y = 5 \n 7y = - 7 \n y = - 1$
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A 46- inch piece of steel is cut into three pieces so that the second piece is twice as long ad the first piece , and the third piece is one inch more than six times the length of the first piece. Find the lengths of the pieces.

Answers

Hope this helps you.

Final answer:

The first piece is 5 inches long, the second piece is 10 inches long, and the third piece is 31 inches long.

Explanation:

The problem involves a piece of steel that is 46 inches long and it is cut into three pieces. The wording of the problem gives us equations we can use to solve for lengths of the pieces. We're told:

The second piece is twice as long as the first piece.
The third piece is one inch more than six times the length of the first piece.

We can let x represent the length of the first piece. Then the length of the second piece is 2x, and the length of the third piece is 6x+1.

Because the three pieces together form the original 46-inch piece, we can set up this equation: x + 2x + 6x + 1 = 46, which simplify to 9x +1 = 46. Solving for x gives x = 5. Therefore, the lengths of the pieces are 5 inches, 10 inches (2 * 5), and 31 inches (6 * 5 + 1).

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Leo dug up 6 4/5 pounds oftreasure on his first dig. Anne dug
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Answers

6 4/5 = 6.8
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