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2 years ago

Omega House Family restaurant is midway between Forsyth Tech Community College

Mathematics

1 answer:

Veseljchak [2.6K]2 years ago

4 0

The coordinates of Omega house is (3/2, 1)

Data;

Forsyth Tech = (7,-5)
Stadium = (-4, 3)

<h3>Midpoint of a Line</h3>

To find the coordinates of Omega house, we can use the formula of midpoint of a line since Omega house falls between Forsyth Tech and Stadium

$x,y = (\frac{x_1+ x_2}{2} , \frac{y_1+y_2}{2})$

We can substitute the values and solve for both x and y coordinates.

$x = \frac{x_1+x_2}{2} \\x = \frac{7 + (-4)}{2} = \frac{3}{2}$

The value of the y-coordinate is

$y = \frac{-5+ 3}{2} = 1$

The coordinates of Omega house is (3/2, 1)

Learn more on midpoint of a line here;

brainly.com/question/5901621

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Answer:

A. 5

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C. 300

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3 years ago

9 please help with 9 10 what is P

LenaWriter [7]

Answer:

The probabilities are the same

10.

1/3

Step-by-step explanation:

Assuming the coin is fair;

The probability of getting heads in a single toss is, P(H) = 1/2

The probability of getting tails in a single toss is, P(T) = 1/2

Now, P(H,H,H) is the probability of obtaining 3 heads in the e tosses. Since each toss is independent of the others,;

P(H,H,H) = P(H)*P(H)*P(H)

= 1/2 * 1/2 * 1/2 = 1/8

On the other hand, P(H,T,H) is the probability of obtaining a head followed by a tail followed by a final head. Using the independence property;

P(H,T,H) = P(H)*P(T)*P(H)

= 1/2 * 1/2 * 1/2 = 1/8

Therefore, P(H,H,H) = P(H,T,H)

10.

We are informed that a coin is tossed and a number cube is rolled. We are to determine the following probability;

P(heads, a number less than 5)

Assuming the coin is fair;

The probability of getting heads in a single toss is, P(H) = 1/2

Assuming the number cube is fair as well, the probability of rolling a number less than 5 is;

4/6 = 2/3

This is because there are 4 numbers less than 5, (1, 2, 3, 4) while the cube has 6 sides.

P(heads, a number less than 5), the events presented here are independent since the outcome from tossing the coin does not in any way determine the outcome from rolling the number cube. Therefore,;

P(heads, a number less than 5) = P(heads)*P(a number less than 5)

= 1/2 * 2/3 = 1/3

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3 years ago

If you are a dog lover, having your dog with you may reduce your stress level. Does having a friend with you reduce stress? To e

Pepsi [2]

The outlier of a dataset is a data element that is relatively far from the remaining data elements

99 is an outlier of pet group
See attachment for the parallel box plots

(a) Prove that 99 is an outlier for Pet

We have:

Pets: 58 64 65 68 69 69 69 70 70 72 76 79 85 86 99

$n = 15$

The quartiles positions are:

$Q_1 = \frac{n + 1}{4}$

$Q_1 = \frac{15 + 1}{4}$

$Q_1 = \frac{16}{4}$

$Q_1 = 4th$

$Q_3 = Q_1 \times 3$

$Q_3 = 4th \times 3$

$Q_3 = 12th$

So, we have:

$Q_1 = 4th$

$Q_3 = 12th$

From the pet group:

The data elements at the 4th and 12th positions are 68 and 79

So, we have:

$Q_1 = 68$

$Q_3= 79$

The lower and upper limits of the outlier are:

$L = Q_1 - 1.5 \times (Q_3 - Q_1)$

$U = Q_3 + 1.5 \times (Q_3 - Q_1)$

So, we have:

$L = 68 - 1.5 \times (79 - 68)$

$L = 51.5$

$U = 79+ 1.5 \times (79 - 68)$

$U = 95.5$

This means that data below 51.5 or above 95.5 are outliers.

Hence, 99 is an outlier because 99 is greater than 95.5

(b) The parallel box plot

The three groups are:

Pets: 58 64 65 68 69 69 69 70 70 72 76 79 85 86 99

Erlento: 88 80 80 81 92 87 88 81 82 80 87 92 87 80 82

Alone: 62 70 73 75 77 80 84 84 84 87 87 87 90 91 99

See attachment for the parallel box plots

Read more about box plots and outliers at:

brainly.com/question/14940764

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3 years ago

Round 62,981 to the nearest thousand.

olga2289 [7]

Answer:

63,000

Step-by-step explanation:

When 981 is rounded to the nearest thousand, it is equal to 1,000. Add this to the remaining number, 62,000, and voila! you get it!

62,000 + 1,000 = 63,000

If you want this explained further, please just let me know!

Thanks!

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3 years ago

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