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2 years ago

The mean of six numbers is 8, and the mean of another four numbers is 5.

Mathematics

1 answer:

Ket [755]2 years ago

4 0

Answer:

6.8

Step-by-step explanation:

8 * 6 = 48 (to reverse dividing by 6 to basically un-average the 6 numbers).

5 * 4 = 20 (to un-average these numbers as well).

48 + 20 = 68

68 / 10 = 6.8

Basically by doing this you are still adding all the numbers together & then dividing by 10 as if you added them all up at once & not in a group of 6 & a group of 4.

Hope this helped. :)

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Spider-Man 120
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2 years ago

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Line segment AB has endpoints A(1,8) and B(7,−4). What are the coordinates of the point located 5/6 of the way from A to B?

const2013 [10]

The coordinate of the point is (6,-2)

<h3>How to determine the coordinate of the point?</h3>

The given parameters are:

A = (1,8)

B = (7,-4)

The location of the point (i.e 5/6) means that the ratio is:

m :n = 5 : (6 - 5)

m : n = 5 : 1

The coordinate of the point is then calculated as:

$(x,y) = \frac{1}{m + n}* (mx_2 + nx_1,my_2 + ny_1)$

So, we have:

$(x,y) = \frac{1}{5 + 1}* (5 * 7 + 1 * 1 , 5 * -4 + 1 * 8)$

Evaluate

$(x,y) = \frac{1}{6}* (36 , -12)$

Evaluate the product

(x,y) = (6,-2)

Hence, the coordinate of the point is (6,-2)

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2 years ago

Gail can use her 12% employee discount once a week. Last Sunday, she bought a $45 sweater at 1/3 off and used her discount on th

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Statement 1 : Gail bought a $45 sweater at 1/3 off.

<u>Discount in Sweater Purchase:</u>

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Statement 2: Gail can use her 12% employee discount once a week and used her discount on the suit priced at $140.

Discount in Suit Purchase:

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3 years ago

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Multiply 32 feet per second by 60 to find feet per minute:

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Divide total feet per minute by 3 feet to find yards per minute:

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3 years ago

What is the center of the circle that you can circumscribe about a triangle with vertices A(2, 6), B(2, 0), and C(10, 0)?

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The three points A,B,C are all points on this circle.
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Plugging in points A and B into distance formula, then setting them equal to each other gives:
$(x-2)^2+(y-6)^2 = (x-2)^2 + y^2$
Right away we can cancel out the x terms leaving:
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Here we can cancel the y-terms.
Expand and solve for x:
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