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Deffense [45]
3 years ago
12

Please draw and label a figure for this sentence in geometry

Mathematics
1 answer:
Kaylis [27]3 years ago
3 0

Answer:

First, plot points A & B on a graph.

Collinear just means 3 or more points in a straight line (because just 2 points are always collinear, since a straight line can always be drawn through two points.

The instructions don't state a specific area in which points C & D have to be in, so you can put them anywhere, as long as they are collinear with each other, but not any other points,

  • i.e. putting three units up and two units left of points A & B

So let's make up some points for C & D that are on a straight line.

  • Remember, this line does <em>not</em> have to be horizontal! As long as it's a straight line, any direction will do.

Here are some points that you can choose from:

  • C(-1, 1); D(-1, -1)
  • C(4, 5); D(4, -5)
  • C(3, 4); D(3, 5)
  • Anything that doesn't fall on x=2 or y=±3.

For "F" just pick a set of coordinates off to the side and label it

  • F(-3,-6)
  • F(-4, 8)
  • F(6, -7)

You can even use half values if you want:

  • (0.5, 3.2)
  • (1.2, -4.1)
  • (-9.1, -0.2)

As long as your plotted points meet the criteria:

  1. C & D are <em>Collinear</em>
  2. A, B, C, D, & F must not land on the same straight line.
You might be interested in
You toss a coin 15 times. P( heads) 2/5=
PIT_PIT [208]
The answer is

2/5 = 0.4

Because

2/5 2 divide 5 = 0.4
4 0
3 years ago
If mZDEC = (12x - 3), mZBCE =
kati45 [8]

Answer:

Step-by-step explanation:

12x - 3 = 180 - (7x - 26) supplementary angles

19x = 209

   x = 11

m∠DEC = 12(11) - 3 = 129°

m∠BCE = 7(11) - 26 = 51°

M∠ADE = 129 - 72 = 57°  exterior angle rule

m∠EDB = 180 - 57 = 123° supplementary angles

m∠DBC = 57° corresponding angle to ADE

3 0
2 years ago
A sample size 25 is picked up at random from a population which is normally
Margarita [4]

Answer:

a) P(X < 99) = 0.2033.

b) P(98 < X < 100) = 0.4525

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 100 and variance of 36.

This means that \mu = 100, \sigma = \sqrt{36} = 6

Sample of 25:

This means that n = 25, s = \frac{6}{\sqrt{25}} = 1.2

(a) P(X<99)

This is the pvalue of Z when X = 99. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{99 - 100}{1.2}

Z = -0.83

Z = -0.83 has a pvalue of 0.2033. So

P(X < 99) = 0.2033.

b) P(98 < X < 100)

This is the pvalue of Z when X = 100 subtracted by the pvalue of Z when X = 98. So

X = 100

Z = \frac{X - \mu}{s}

Z = \frac{100 - 100}{1.2}

Z = 0

Z = 0 has a pvalue of 0.5

X = 98

Z = \frac{X - \mu}{s}

Z = \frac{98 - 100}{1.2}

Z = -1.67

Z = -1.67 has a pvalue of 0.0475

0.5 - 0.0475 = 0.4525

So

P(98 < X < 100) = 0.4525

6 0
2 years ago
For which independent value do the equations generate the same dependent value? y1=6x-16 , y2=3x-10
Nikitich [7]
The question asks which x-value gives the same y-value for both equations, so if you need the ys to be equal, you can set both equations equal to each other, giving you 6x-16=3x-10. Now, solve for x. 6x-16=3x-10, subtract 3x and add 16, 3x=6, divide 3, x=2. Your answer is x=2.
7 0
3 years ago
Experts/ace/geniuses
ASHA 777 [7]
B,D is the answer for your question
7 0
3 years ago
Read 2 more answers
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