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kotykmax [81]
3 years ago
5

These three points are collinear. (3, 6), (-2, -9), (0, -4) True False

Mathematics
1 answer:
mr_godi [17]3 years ago
7 0

Answer:

False

Step-by-step explanation:

to determine if the points are collinear, determine the rate of change(slope) between (-2, -9) and (0, -4) and then the rate of change between (0, -4) and (3,6) and rate of change between (-2, -9) and (3, 6). if the rates are equivalent then the points are all collinear

between (-2, -9) and (0, -4):

m=(y2-y1)/(x2-x1)

  =(-4-(-9))/(0-(-2))

  =5/2

between (0, -4) and (3,6):

m=(y2-y1)/(x2-x1)

  =(6-(-4))/(3-0)

=10/3

because 5/2 does not equal 10/3 the rates of change are not equal and the points are not collinear, do not need to consider slope between (-2, -9) and (3, 6)

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Answer:

10 and 1/5

Step-by-step explanation:

11-4/5=10 and 1/5. x must be 10 and 1/5

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2 years ago
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Using diagonals from a common vertex, how many triangles could be formed from the polygon pictured below?
Ad libitum [116K]

9514 1404 393

Answer:

  3

Step-by-step explanation:

From a given vertex, two of the vertices are adjacent, so a "diagonal" to those will not form a triangle. The number of diagonals that can be drawn is 3 fewer than the number of sides. The number of triangles is 1 more than the number of diagonals.

For a 5-sided figure, 2 diagonals can be drawn from a common vertex.

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3 years ago
This problem uses the teengamb data set in the faraway package. Fit a model with gamble as the response and the other variables
hichkok12 [17]

Answer:

A. 95% confidence interval of gamble amount is (18.78277, 37.70227)

B. The 95% confidence interval of gamble amount is (42.23237, 100.3835)

C. 95% confidence interval of sqrt(gamble) is (3.180676, 4.918371)

D. The predicted bet value for a woman with status = 20, income = 1, verbal = 10, which shows a negative result and does not fit with the data, so it is inferred that model (c) does not fit with this information

Step-by-step explanation:

to)

We will see a code with which it can be predicted that an average man with income and verbal score maintains an appropriate 95% CI.

attach (teengamb)

model = lm (bet ~ sex + status + income + verbal)

newdata = data.frame (sex = 0, state = mean (state), income = mean (income), verbal = mean (verbal))

predict (model, new data, interval = "predict")

lwr upr setting

28.24252 -18.51536 75.00039

we can deduce that an average man, with income and verbal score can play 28.24252 times

using the following formula you can obtain the confidence interval for the bet amount of 95%

predict (model, new data, range = "confidence")

lwr upr setting

28.24252 18.78277 37.70227

as a result, the confidence interval of 95% of the bet amount is (18.78277, 37.70227)

b)

Run the following command to predict a man with maximum values ​​for status, income, and verbal score.

newdata1 = data.frame (sex = 0, state = max (state), income = max (income), verbal = max (verbal))

predict (model, new data1, interval = "confidence")

lwr upr setting

71.30794 42.23237 100.3835

we can deduce that a man with the maximum state, income and verbal punctuation is going to bet 71.30794

The 95% confidence interval of the bet amount is (42.23237, 100.3835)

it is observed that the confidence interval is wider for a man in maximum state than for an average man, it is an expected data because the bet value will be higher than the person with maximum state that the average what you carried s that simultaneously The, the standard error and the width of the confidence interval is wider for maximum data values.

(C)

Run the following code for the new model and predict the answer.

model1 = lm (sqrt (bet) ~ sex + status + income + verbal)

we replace:

predict (model1, new data, range = "confidence")

lwr upr setting

4,049523 3,180676 4.918371

The predicted sqrt (bet) is 4.049523. which is equal to the bet amount is 16.39864.

The 95% confidence interval of sqrt (wager) is (3.180676, 4.918371)

(d)

We will see the code to predict women with status = 20, income = 1, verbal = 10.

newdata2 = data.frame (sex = 1, state = 20, income = 1, verbal = 10)

predict (model1, new data2, interval = "confidence")

lwr upr setting

-2.08648 -4.445937 0.272978

The predicted bet value for a woman with status = 20, income = 1, verbal = 10, which shows a negative result and does not fit with the data, so it is inferred that model (c) does not fit with this information

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3 years ago
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Answer:

Step-by-step explanation:

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x(10x - 22) = 0 so

x = 0 or 10x - 22 = 0 which makes

x equal to \frac{22}{10}=2.2

So x = 2.2 and y = 22.

7 0
2 years ago
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