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kodGreya [7K]
3 years ago
13

How to solve this problem?

Mathematics
1 answer:
valentinak56 [21]3 years ago
6 0

Very nice handwriting but the math and English are confusing.

Let's assume we're told

\displaystyle 45 = \sum_{i=1}^9 (x_i - 10)^2

The subscript is important.

I think we're told the similar sum with 11 gives the smallest possible value for the sum. This is a rather cagey way of telling us 11 is the mean of the nine points. The mean is the number which minimizes the sum of squared deviations.

\displaystyle 45 = \sum_{i=1}^9 (x_i - 10)^2 = \sum x_i^2 - 20 \sum x_i + 9(100)

\displaystyle  \sum x_i^2=  20 \sum x_i  - 900

If 11 is the mean, the sum of the points is 9(11)=99.

\displaystyle  \sum x_i^2=  20 (99)  - 900 = 1080

Answer: 1080

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What is an equation of the line that passes through the point (−3,−1) and is perpendicular to the line x-2y=6?
gogolik [260]

Answer:

y = 2x+5

Step-by-step explanation:

rearrange the equation to make y the sof

y = 1/2x - 3

to find gradient of perpendicular line

1/2 ÷ ( - 1 )

y = -2x + c , the replace the coordinates (-3,-1)

y = 2x + 5

5 0
3 years ago
The apothem of a regular polygon is always less than the radius of the polygon
den301095 [7]
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7 0
3 years ago
It's a little blurry sorry please help
Ghella [55]

<u>Answer:</u>

It's X=2

<u>Working out:</u>

<u>(left one):</u>

2(x+3)=10

2x+6=10

2x=10-6

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x=2

Working out:

(right one):

2(x+3) must be all divided by 2 so it will be x+3 and same for 10, it will be 5 so...

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3 0
2 years ago
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I JUST NEED #13 please and thnx
emmainna [20.7K]

\bf \cfrac{18}{32}\implies \cfrac{2\cdot 3\cdot 3}{2\cdot 2\cdot 2\cdot 2\cdot 2}\implies \cfrac{3\cdot 3}{2\cdot 2\cdot 2\cdot 2}\implies \boxed{\cfrac{9}{16}}\qquad \checkmark \\\\[-0.35em] ~\dotfill\\\\ \cfrac{27}{48}\implies \cfrac{3\cdot 3\cdot 3}{2\cdot 2\cdot 2\cdot 2\cdot 3}\implies \cfrac{3\cdot 3}{2\cdot 2\cdot 2\cdot 2}\implies \boxed{\cfrac{9}{16}}\qquad \checkmark

3 0
3 years ago
Radius= 4cm. find the area and diameter of the circle​
Bezzdna [24]
<h3>given:</h3>

radius= 4 cm

<h3>to find:</h3>

the area and the diameter of the circle.

<h3>solution:</h3><h3>diameter:</h3>

d = 2r

d = 2 \times 4

d = 8 \: cm

<u>therefore</u><u>,</u><u> </u><u>the</u><u> </u><u>diameter</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>circle</u><u> </u><u>is</u><u> </u><u>8</u><u> </u><u>centimeters</u><u>.</u>

<h3>area:</h3>

a = \pi {r}^{2}

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a = 50.26548 \:  {cm}^{2}

a = 50.27 \:  {cm}^{2}

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2 years ago
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