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2 years ago

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A 10-foot ladder is leaning against a wall. The base of the ladder is 2 feet from the base of the building. How far up the build

ing does the ladder fall?

1 answer:

Pavel [41]2 years ago

5 0

10x2 = 20

the building from the ladder is 20ft

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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 <u>less than</u> the MAD for city 1, which means the average monthly temperature of city 2 vary <u>less than</u> 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 <u>less than</u> the MAD for city 1, which means the average monthly temperature of city 2 vary <u>less than</u> the average monthly temperatures for City 1.

3 0

2 years ago

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What is the equation of the line that is parallel to y=-x+4 and that passes through (-2,-2)?

Gwar [14]

Answer:

y=-x-4

Step-by-step explanation:

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2 years ago

What is the X intercept and Y intercept of this graph

s2008m [1.1K]

Answer:

Suppose you earned extra money by having a part-time job. You open up a bank account in order to save your money. Your body acts similar to a bank account—you can “deposit” and “store” energy.

Step-by-step explanation:

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2 years ago

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Common core question please help!!!

Maru [420]

She has 648 shirts.

Work:
Lisa has 42 pineapples. 4 + 2 = 6
Johnny has 6 marbles.
42 + 4 + 2 + 6 = 54
54 + 5 + 4 = 63
63 + 6 + 3 = 72
But 72 is a multiple of 6!
Let's go further:
72 * 6 = 432

Now let's look at the word 'shirt'.
The middle letter is I.
I is the 9th letter of the alphabet.
Remember the number 72?
72*9 = 648

5 0

2 years ago

An archaeological site is to be made accessible for viewing by the public. To do this, archaeologists built two straight paths f

Jobisdone [24]

Answer:

387 km

Step-by-step explanation:

The length of AC, b can be obtained using the cosine rule ; using the cosine relation:

b² = a² + c² - 2ac CosB

b² = 250² + 185² - 2(250*185) Cos125

b² = 62500 + 34225 - 92500 * −0.573576

b² = 96725 + 53055.820

b² = 149780.82

b = sqrt(149780.82)

b = 387.01527

b = 387 km (nearest whole number)

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2 years ago