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2 years ago

Rewrite as a simplified fraction 2.67 repeating

Mathematics

1 answer:

Morgarella [4.7K]2 years ago

5 0

265/99, is what I think but I’m not sure

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The data show the average monthly temperatures for two cities over a 6-month period. City 1: {20, 24, 40, 63, 76, 89} City 2: {4

Mrac [35]

Answer:

The MAD of city 2 is less than the MAD for city 1, which means the average monthly temperature of city 2 vary less than the average monthly temperatures for City 1.

Step-by-step explanation:

For comparing the mean absolute deviations of both data sets we have to calculate the mean absolute deviation for both data sets first,

So for city 1:

$Mean = x1 = \frac{20+24+40+63+76+89}{6}$

$x1 = \frac{312}{6}$

$x1 = 52$

Now to calculate the mean deviations mean will be subtracted from each data value. (Note: The minus sign is ignored as the deviation is the distance of value from the mean and it cannot be negative. For this purpose absolute is used)

$20-52 = -32=32\\24-52=-28=28\\40-52=-12=12\\63-52=11\\76-52=24\\89-52=37$

The deviations will be added then. $Mean Absolute Deviation = \frac{32+28+12+11+24+37}{6} \\=\frac{144}{6}\\=24$

So the mean absolute deviation for city 1 is 24 ..

For city 2:

$Mean = x2 = \frac{41+50+58+62+72+83}{6}$

$x2 = \frac{366}{6}$

$x2 = 61$

Now to calculate the mean deviations mean will be subtracted from each data value. (Note: The minus sign is ignored)

$41-61=-20=20\\50-61=-11=11\\58-61=-3=3\\62-61=1\\72-61=11\\83-61=22$

The deviations will be added then. $Mean Absolute Deviation = \frac{20+11+3+1+11+22}{6} \\=\frac{68}{6}\\=11.33$

So the MAD for city 2 is 11.33 ..

So,

The MAD of city 2 is less than the MAD for city 1, which means the average monthly temperature of city 2 vary less than the average monthly temperatures for City 1.

3 0

2 years ago

Read 2 more answers

Examine the following diagram: What is the measure of ∠DBC?

gtnhenbr [62]

1 + 1 = 2 - 1 = 1 hope this helps.

3 0

3 years ago

Read 2 more answers

17. Solve the following: x – 3y = 5 5x – 2y = -1

Phantasy [73]

Answer:

(- 1, - 2 )

Step-by-step explanation:

Given the 2 equations

x - 3y = 5 → (1)

5x - 2y = - 1 → (2)

Rearrange (1) expressing x in terms of y by adding 3y to both sides

x = 5 + 3y → (3)

Substitute x = 5 + 3y in (2)

5(5 + 3y) - 2y = - 1 ← distribute left side

25 + 15y - 2y = - 1

25 + 13y = - 1 ( subtract 25 from both sides )

13y = - 26 ( divide both sides by 13 )

y = - 2

Substitute y = - 2 in (3) for corresponding value of x

x = 5 + (3 × - 2) = 5 - 6 = - 1

Solution is (- 1, - 2 )

8 0

3 years ago

It's 3 triangles right ?? I just to make sure am right. How many triangles equal a Circle

PSYCHO15rus [73]

It is 3 triangles your right

3 0

3 years ago

Read 2 more answers

Suppose a polygon has 72 sides. If the polygon is regular, what is its angle of rotation?

satela [25.4K]

The angle of rotation is the minimum angle in which you rotate a regular polygon such that the figure appears unchanged. The formula for that is dividing one angle of revolution by its number of sides.

Angle of Rotation = 360°/n
Angle of Rotation = 360°/72 = 5°

4 0

3 years ago