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Olenka [21]
3 years ago
10

The table shows the number of minutes Garrett practiced his trombone each week in one month. Week Number of Minutes Practiced 1

190 2 163 3 327 4 205 What is the mean number of minutes Garrett practiced his trombone each week? A. 197.5 B. 177 C. 245 D. 221.25
Mathematics
1 answer:
vredina [299]3 years ago
4 0

Answer:

\bar X= \frac{\sum_{i=1}^n X_i}{n}

The reason is because we assume that each week have the same weight and replacing we got:

\bar X= \frac{190+163+327+205}{4}= 221.25

And the best option would be:

D. 221.25

Step-by-step explanation:

For this case we have the following data given

Week       1       2         3       4

Minutes  190   163   327   205

For this case we can find the mean with the following formula:

\bar X= \frac{\sum_{i=1}^n X_i}{n}

The reason is because we assume that each week have the same weight and replacing we got:

\bar X= \frac{190+163+327+205}{4}= 221.25

And the best option would be:

D. 221.25

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What number in standard form that is larger than 17 hundredth and smaller than 19 hundreth
Natalija [7]

Answer:

18

Step-by-step explanation:

4 0
2 years ago
If the length of room is four times the height and breadth is twice of its height and the volume of the room is 512 m^2 find its
lisov135 [29]

Let  \: x  \: (x>0)  \: be \:  the \:  height \Rightarrow the \: width, length: 2x,4x \\ Volume:V=hwl = 512 \\ \Leftrightarrow x2x4x = 512 \\ \Leftrightarrow 8{x }^{3}  = 512 \\\Leftrightarrow  {x}^{3}  = 64 \\ \Leftrightarrow x = 4 \\ \Rightarrow The \:  height \: is \: 4 \: m, the \: width \: is \: 8 \: m

8 0
3 years ago
What is the equation of the line that goes through the points (5, 11) and (7,21)?
iragen [17]

Answer:

y = 5x - 14

Step-by-step explanation:

First point coordinates

x₁

5

y₁

11

Second point coordinates

x₂

7

y₂

21

Result

Slope (m)

5

m = 10 / 2 = 5 / 1 = 5

Your function

The entered points belong to an increasing, linear function.

Equation: y = 5x - 14.

Hope i helped :)

5 0
3 years ago
Find the area of this shape. Correct answer will Brainliest
Iteru [2.4K]

Answer:

As shown in picture, this is a trapezoid.

The area of a trapezoid is calculated by:

A = (base1 + base2) x height x (1/2)

To work out A, we need to find out base1, base2, and height.

base1  = YZ = \sqrt{(Zx - Yx)^{2} + (Zy - Yy)^{2} } = \sqrt{(5 - 2)^{2} + (5 - 5)^{2} } = 3

base2 = XW =\sqrt{(Wx - Xx)^{2} + (Wy - Xy)^{2} } = \sqrt{(8 - 1)^{2} + (1 - 1)^{2} } = 7

Otherwise, the height (distance between base1 and base2) is 4 as shown in picture.

=> A = (3 + 7) x 4 x (1/2) = 20

Hope this helps!

:)

6 0
3 years ago
What is the center and radius of the circle given by x2 + y2 - 10x - 12y + 24 = 0?​
AveGali [126]

Answer:

centre (5, 6 ) , r = \sqrt{37}

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r the radius

given

x² + y² - 10x - 12y + 24 = 0 ( collect x and y terms together and subtract 24 from both sides )

x² - 10x + y² - 12y = - 24

using the method of completing the square

add ( half the coefficient of the x / y terms)² to both sides

x² + 2(- 5)x + 25 + y² + 2(- 6)y + 36 = - 24 + 25 + 36

(x - 5)² + (y - 6)² = 37 ← in standard form

with centre (h, k ) = (5, 6 ) and r = \sqrt{37}

3 0
2 years ago
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