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Alex787 [66]
3 years ago
14

i have 3 questions the answer should be true or false (1)on any polygon all lines of symetry are also diagonals (2) all regular

polygons have rotational symetry (3)for a regular polygon with n sides there are diagonals
Mathematics
1 answer:
yaroslaw [1]3 years ago
7 0
1. False
2. True
3. False
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What is the equation of the line which includes points (0,3) and (4,5)
laila [671]

Answer:

y = \frac{1}{2} x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (4, 5)

m = \frac{5-3}{4-0} = \frac{2}{4} = \frac{1}{2}

Note the line crosses the y- axis at (0, 3) ⇒ c = 3, thus

y = \frac{1}{2} x + 3 ← equation of line

4 0
3 years ago
Assume the sample variances to be continuous measurements. Find the probability that a random sample of 25observations, from a n
konstantin123 [22]

Answer:

a) P(4S^2 > 4*9.1) = P(\chi^2_{24} >36.4) = 0.0502

b)P(13.848Step-by-step explanation:

Previous concepts

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

For this case we assume that the sample variance is given by S^2 and we select a random sample of size n from a normal population with a population variance \sigma^2. And we define the following statistic:

T = \frac{(n-1) S^2}{\sigma^2}

And the distribution for this statistic is T \sim \chi^2_{n-1}

For this case we know that n =25 and \sigma^2 = 6 so then our statistic would be given by:

\chi^2 = \frac{(n-1)S^2}{\sigma^2}=\frac{24 S^2}{6}= 4S^2

With 25-1 =24 degrees of freedom.

Solution to the problem

Part a

For this case we want this probability:

P(S^2 > 9.1)

And we can multiply the inequality by 4 on both sides and we got:

P(4S^2 > 4*9.1) = P(\chi^2_{24} >36.4) = 0.0502

And we can use the following excel code to find it: "=1-CHISQ.DIST(36.4,24,TRUE)"

Part b

For this case we want this probability:

P(3.462 < S^2

If we multiply the inequality by 4 on all the terms we got:

P(3.462*4 < 4S^2 < 4*10.745)= P(13.848< \chi^2And we can find this probability like this:P(13.848And we use the following code to find the answer in excel: "=CHISQ.DIST(42.98,24,TRUE)-CHISQ.DIST(13.848,24,TRUE)"

8 0
3 years ago
Daria's goal is to run 7 miles each weekend.she ran 3 and 1/3 mules on saturday and 3 and 3/4 on Sunday. by how much did she bea
oksano4ka [1.4K]
She beat her goal. her total was 7 miles and 1/12 as she ran .1 miles longer find the lcd of 4 and 3 wich is 12 and add the num. to get 13 and that simplifed is 1 1/12+6 which is 7.1 or
7 1/12 mules
5 0
3 years ago
Slove for x : 3x + 4 = 9x + 3
andreyandreev [35.5K]

Answer:

x = 1/6

Step-by-step explanation:

3x + 4 = 9x + 3

3x + 1 = 9x

1 = 6x

1/6 = x

7 0
3 years ago
Read 2 more answers
Circumference of a circle with radius 10 in
azamat
2*pi*10=62.83 is certainly your answer
5 0
3 years ago
Read 2 more answers
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