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Salsk061 [2.6K]

3 years ago

8

Melissa wants to put a bird bath in her yard at point (x, y), and wants it to be is inside the enclosed shaded area shown in the

graph.
First, she checks that x greater or equal than negative 3 space a n d space y greater or equal than negative 2. What linear inequality must she check to conclude that (x, y) is inside the triangle?

1 answer:

lidiya [134]3 years ago

4 0

Jkkm nhuduehdued endures uedhdjend uehduehd neurheudh hfduhf jedhdje jehfjdh

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Help Help Help HELPPP MEEE PLEASEE :<

Galina-37 [17]

Answer:

5600 × 7 = 32, 000 You should multiply

3 0

2 years ago

Brian recorded the number of commercials played during two types of television shows: an educational documentary and a primetime

Sladkaya [172]

Answer:

$m(x)_A = 5.2$ --- Mean absolute deviation of educational documentary

$m(x)_B = 4.7$ --- Mean absolute deviation of prime time drama

Step-by-step explanation:

Given

$n = 10$

See attachment for table

Required

Determine the mean absolute deviation of each

Mean absolute deviation m(x) is calculated as:

$m(x) = \frac{1}{n}\sum |x - \mu|$

For Educational Documentary

First, calculate the mean

$\mu = \frac{\sum x}{n}$

So:

$\mu_A = \frac{26 + 28 + 30 + 18+27 + 18 + 20 +31+17+17}{10}$

$\mu_A = \frac{232}{10}$

$\mu_A = 23.2$

The mean absolute deviation is then calculated as:

$m(x)_A = \frac{1}{n}\sum |x - \mu_A|$

$m(x)_A = \frac{1}{10}(|26 -23.2| +|28 -23.2| +|30 -23.2| +|18 -23.2| +|27 -23.2| +|18 -23.2| +|20 -23.2| +|31 -23.2| +|17 -23.2| +|17 -23.2|)$

$m(x)_A = \frac{1}{10}(|2.8| +|4.8| +|6.8| +|-5.2| +|3.8| +|-5.2| +|-3.2| +|7.8| +|-6.2| +|-6.2|)$

$m(x)_A = \frac{1}{10}(2.8 +4.8 +6.8 +5.2 +3.8 +5.2 +3.2 +7.8 +6.2 +6.2)$

$m(x)_A = \frac{1}{10}*52$

$m(x)_A = 5.2$

For Prime time Drama

First, calculate the mean

$\mu = \frac{\sum x}{n}$

So:

$\mu_B = \frac{39+39+35+29+40+27+41+29+32+30}{10}$

$\mu_B = \frac{341}{10}$

$\mu_B = 34.1$

The mean absolute deviation is then calculated as:

$m(x)_B = \frac{1}{n}\sum |x - \mu_B|$

$m(x)_B = \frac{1}{10}(|39-34.1|+|39-34.1|+|35-34.1|+|29-34.1|+|40-34.1|+|27-34.1|+|41-34.1|+|29-34.1|+|32-34.1|+|30-34.1|)$

$m(x)_B = \frac{1}{10}(|4.9|+|4.9|+|0.9|+|-5.1|+|5.9|+|-7.1|+|6.9|+|-5.1|+|-2.1|+|-4.1|)$

$m(x)_B = \frac{1}{10}(4.9+4.9+0.9+5.1+5.9+7.1+6.9+5.1+2.1+4.1)$

$m(x)_B = \frac{1}{10}*47$

$m(x)_B = 4.7$

6 0

3 years ago

Find the equation of the line through the points (-2,1) and (5,-20)

ankoles [38]

Answer:

y = -3x - 5

Step-by-step explanation:

First find the slope: (-20 - 1) / (5 - (-2)) = -3

Then plug in one set of points into the equation y = mx + b.

1 = -3(-2) + b

1 = 6 + b

b = -5

So you can get the equation: y = -3x - 5

5 0

3 years ago

If the pictured triangles are congruent what reason can be given

igor_vitrenko [27]

Answer:

SAS Postulate.

Step-by-step explanation:

Two triangles are congruent if anyone of the following postulates is true:

SAS - Two corresponding sides and the included angles are congruent to each other.

SSS - All the three corresponding sides are congruent.

ASA - Two corresponding angles and the included sides are congruent to each other.

AAS - Two corresponding consecutive angles and sides adjacent to either of the angles are congruent.

HL - If the corresponding hypotenuses and one corresponding legs are congruent to each other.

Here, in the figure, two corresponding sides and the included angle between them are congruent to each other.

So, the two triangles are congruent by SAS postulate.

8 0

3 years ago

Purple Dog Pet Supply Inc. (PDPS) released its annual results and financial statements. Lucia is reading the summary in the busi

Rama09 [41]

Answer:

$35,000

Step-by-step explanation:

The computation of the dividend amount is given below:

As we know that

Dividend Paid = Net income - Retained earnings for current year

where,

Retained earnings for current year = This year - last year

= $500,000 - $425,000

= $75,000

Now

Dividend Paid is

= $110,000 - $75,000

= $35,000

4 0

2 years ago