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lys-0071 [83]
3 years ago
7

The average of a list of 4 numbers is 90.0 . A new list of 4 numbers has the same first 3 numbers as the original list, but the

fourth number in the original list is 80 , and the fourth number in the new list is 96 . What is the average of this new list of numbers?
Mathematics
1 answer:
masya89 [10]3 years ago
5 0

Answer:

94

Step-by-step explanation:

Average = sum of numbers /  number of items in the set

for the first list, the average is 90 and there are four numbers, the sum of the numbers is 90 x 4 = 360

If the 4th number is 80, the sum of the first 3 numbers = 360 - 80 = 280

so the sum of the first three numbers on the second list is 260. The fourth number is 96. The sum of the numbers = 280 + 96 = 376

Average of the new list = 376 / 4 = 94

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addison and kelsey are running on a path modeled by x^2+y^2-10x-18y-378=0, where the distance is in meters. what is the maximum
bulgar [2K]

The maximum distance is the <u>diameter of the circle</u>, which is of 44 units.

The equation of a circle of <u>radius r and center</u> (x_0,y_0) is given by:

(x - x_0)^2 + (y - y_0)^2 = r^2

  • The diameter is <u>twice the radius</u>, and is the <u>maximum distance</u> between two points inside a circle.

In this problem, the circular path is modeled by:

x^2 + y^2 - 10x - 18y - 378 = 0

We complete the squares to place it in the standard format, thus:

x^2 - 10x + y^2 - 18y = 378

(x - 5)^2 + (y - 9)^2 = 378 + 25 + 81

(x - 5)^2 + (y - 9)^2 = 484

Thus, the radius is:

r^2 = 484 \rightarrow r = \sqrt{484} = 22

Then, the diameter is:

d = 2r = 2(22) = 44

The maximum distance is the <u>diameter of the circle</u>, which is of 44 units.

A similar problem is given at brainly.com/question/24992361

7 0
2 years ago
2 2/3× 4 1/5 help me plzzzzz!!!
Rus_ich [418]
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Answer:4 - (g+5)

Step-by-step explanation:

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