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3 years ago

I will give brainliest. please help! <3

Mathematics

1 answer:

olchik [2.2K]3 years ago

5 0

Answer:

Given in the problem , as ΔBEC is an equilateral triangle , ∠GCD=90°,m∠ECD=30°

Step-by-step explanation:

Step1:

Statement 2:

as ΔBEC is an equilateral triangle

statement 3:

BG ≅ GC as FG is perpendicular bisector given in the problem.

Statement 4.

∠CFG =60° as as ΔBEC is an equilateral triangle

Staement 5 : Reason : All the angles of an equilateral triangle are 60°

step 2 :-

Statement 1.

as ΔBEC is an equilateral triangle is given in the fourth statement of the problem.

Statement 2.

m∠GCE = 60° as it is contained in ΔBEC which is an equilateral triangle. All the angles of an equilateral triangle are 60°.

Statement 3:

∠GCD =90° as ABCD is a square

Statement 4:

m∠ECD=∠GCD-m∠GCE

=90°-60°

=30°

Hence Proved

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Likurg_2 [28]

Using the binomial distribution, the probabilities are given as follows:

a) 0.37 = 37%.

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<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

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p is the probability of a success on a single trial.

For this problem, the fixed parameter is:

p = 0.37.

Item a:

The probability is P(X = 1) when n = 1, hence:

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

$P(X = 1) = C_{1,1}.(0.37)^{1}.(0.63)^{0} = 0.37$

Item b:

The probability is P(X = 3) when n = 3, hence:

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

$P(X = 3) = C_{3,3}.(0.37)^{3}.(0.63)^{0} = 0.5065$

Item c:

The probability is P(X = 2) when n = 4, hence:

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$P(X = 2) = C_{4,2}.(0.37)^{2}.(0.63)^{2} = 0.3260$

More can be learned about the binomial distribution at brainly.com/question/24863377

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