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3 years ago

Which statements are true about the reflections symmetry of a regular heptagon?

Mathematics

1 answer:

lakkis [162]3 years ago

3 0

Answer:

some statements that are true are :

Step-by-step explanation:

it has only 1 line of reflectional symmetry.

a line of symmetry will connect 2 vertices.

a line of symmetry will connect a vertex and a midpoint of an opposite side.

it has 7 fold symmetry.

a line of symmetry will connect the midpoints of 2 opposite sides.

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A student takes an exam containing 1414 multiple choice questions. The probability of choosing a correct answer by knowledgeable

Readme [11.4K]

Answer:

0.0082 = 0.82% probability that he will pass

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the students guesses the correct answer, or he guesses the wrong answer. The probability of guessing the correct answer for a question is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$n = 14, p = 0.3$ .

If the student makes knowledgeable guesses, what is the probability that he will pass?

He needs to guess at least 9 answers correctly. So

$P(X \geq 9) = P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 9) = C_{14,9}.(0.3)^{9}.(0.7)^{5} = 0.0066$

$P(X = 10) = C_{14,10}.(0.3)^{10}.(0.7)^{4} = 0.0014$

$P(X = 11) = C_{14,11}.(0.3)^{11}.(0.7)^{3} = 0.0002$

$P(X = 12) = C_{14,12}.(0.3)^{12}.(0.7)^{2} = 0.000024$

$P(X = 13) = C_{14,13}.(0.3)^{13}.(0.7)^{1} = 0.000002$

$P(X = 14) = C_{14,14}.(0.3)^{14}.(0.7)^{0} \cong 0$

$P(X \geq 9) = P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.0066 + 0.0014 + 0.0002 + 0.000024 + 0.000002 = 0.0082$

0.0082 = 0.82% probability that he will pass

6 0

3 years ago

How many 2 inch segments are there in 12 ft

ollegr [7]

The correct answer for this question is that there are 72 2-inch segment in 12ft. Hopefully that answered your question for you!

5 0

4 years ago

Hyun Woo is riding a ferris wheel. H t H(t) models his height (in m m) above the ground, t t seconds after the ride starts. Here

worty [1.4K]

Answer:

53 seconds.

Explanation:

The text and the model are garbled.

This is the question amended:

Hyun Woo is riding a ferris wheel. H(t) models his height (in m) above the ground, t seconds after the ride starts. Here, t is entered in radians.

H(t) = -10 cos(2π/150 t)+10

When does Hyun Woo first reach a height of 16 m?

<h2>Solution</h2>

When Hyun Woo reaches a height of 16 m the model states:

16 = -10 cos(2π/150 t)+10

Then you must find the lowest positive value of t that is a solution of the equation.

Solve the equation:

16 = -10 cos(2π/150 t)+10

10cos(2π/150 t) = - 6

cos(2π/150t) = -0.6

2π/150t = arccos(-0.6)

2π/150t = 2.214297

t = 52.86s ≈ 53 s ← answer

4 0

3 years ago

Which expression is unidentified -8÷(-8), -8÷8, 0÷8, 8÷0

Alex_Xolod [135]

Answer:

The last one, 8 / 0

Step-by-step explanation:

The last expression is undefined because in math it is forbidden to divide by zero.

Hope this helps)))

8 0

3 years ago

1. Name a pair of adjacent angles. Explain why they are adjacent.

AlekseyPX

1. Adjacent means they are next to each other and share equal common side and vertex. So its angleRUS and angleSUT.
2. If you see that little square that equals to 90 degrees so it’s the same thing as the adjacent
3. and M should be the line between V and T

3 0

3 years ago