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vovangra [49]
3 years ago
10

Please answer the following:

Mathematics
1 answer:
serg [7]3 years ago
3 0
The sum of all interior angles in a polygon is
180(n - 2), where n = the number of sides in the polygon.

now, notice this figure above, it has 5 sides, namely is a PENTAgon, so the sum of all its interior angles is 180( 5 - 2), or 540, therefore

\bf (4x)~+~(3x+15)~~+~~(4x-25)~~+~~(3x+25)~~+~~(2x-3)=540
\\\\\\
16x+12=540\implies 16x=528\implies x=\cfrac{528}{16}\implies x=33
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Find the population variance of: 4 6 8 9 9 <br><br> round to the nearest hundredth
soldi70 [24.7K]

Answer:

Step-by-step explanation:

To find the population variance, we first need the mean:

\bar{x}=\frac{4+6+8+9+9}{5}=\frac{36}{5}=7.2 so the mean is 7.2. To find the population variance (which is almost exactly the same as the sample variance except for a small difference in the denominators of the formula) we have to take each number minus the mean, and then square the difference. Add together all these squared numbers and then divide by the number of numbers. Like this:

(4-7.2)^2=10.24\\(6-7.2)^2=1.44\\(8-7.2)^2=.64\\(9-7.2)^2=3.24\\(9-7.2)^2=3.24

Add together those numbers and divide them by 5:

\sigma=\frac{10.24+1.44+.64+3.24+3.24}{5}=\frac{18.8}{5}=3.76

5 0
3 years ago
Round to the nearest thousand. 5,568
cricket20 [7]

Answer:

Round to the nearest thousand.

5,568

= 5,000

7 0
3 years ago
Read 2 more answers
Grayson went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 35 grams of sugar and
Illusion [34]

The number of bottles of soda purchased is 10 and the number of bottles of juice purchased is 4.

<u>Step-by-step explanation:</u>

Let us consider the soda bottles as x and juice bottles as y.

From the given data we can derive 2 equations,

35x+15y= 410.    .....(1)

x=y+6.                 ....(2)

Substitute equation (2) in (1),

35(y+6)+15y=410.

35y+ 210+15y=410.

50y+210=410.

50y=410-210.

50y=200.

y=4.

Substitute y value in equation (2),

x=4+6.

x=10.

The number of bottles of soda purchased is 10 and the number of bottles of juice purchased is 4.

4 0
3 years ago
Matching quantities with units
Mrrafil [7]

Answer:

1. Volume = length x width x height => cubic centimetres.

2. Perimeter = 2(length) + 2(width) => metres.

3. Speed = Distance /time => metres per second.

4. Area = length x width => square metres.

Step-by-step explanation:

1. Volume = length x width x height

If the length, width and height are measured in centimetre (cm) , then, the unit of the volume will be:

Volume = cm x cm xcm = cm3 i.e cubic centimetres.

2. Perimeter = 2(length) + 2(width)

If the length and width are measured in meter (m), then, the unit of the perimeter will also be in metre (m).

3. Speed = Distance /time

If the unit of distance is measured in metre (m) and the time is measured in second (s), then , the unit of the speed will be:

Speed = Distance /time = m/s i.e metres per second.

4. Area = length x width

If the length and width are measured in metres (m), then, the unit of the area will be:

Area = m x m = m2 i.e square metres

8 0
3 years ago
Math help please i have discalcula
user100 [1]

Answer:

x=4y,3x=4y,y=4x,4x=3y

5 0
3 years ago
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