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1 year ago

The tree diagram represents an

Mathematics

1 answer:

olga_2 [115]1 year ago

6 0

Using it's concept, considering the tree diagram, the probability of event C is given as follows:

P(C) = 0.26.

<h3>What is a probability?</h3>

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Each node at the tree is a multiplication, hence the probability of event C is given as follows:

P(C) = 0.6 x 0.3 + 0.4 x 0.2 = 0.18 + 0.08 = 0.26.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

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In the equation (x^2+y)^5, what is the coefficient of the term x^4y^3? what is the coefficient of the same term in the expansion

lys-0071 [83]

$\displaystyle
(x+y)^n=\sum_{k=0}^n\binom{n}{k}x^{n-k}y^k$

-------------------------------------------------------------

$\displaystyle
(x^2+y)^n=\sum_{k=0}^n\binom{n}{k}x^{2n-2k}y^k\\
n=5\\
k=3\\\\\binom{5}{3}=\dfrac{5!}{3!2!}=\dfrac{4\cdor5}{2}=10$

It's 10.

----------------------------------------------------

$\displaystyle
(3x^2+y)^n=\sum_{k=0}^n\binom{n}{k}(3x)^{2n-2k}y^k=\sum_{k=0}^n\binom{n}{k}\cdot 3^{2n-2k}\cdot x^{2n-2k}y^k\\\\
n=5\\
k=4\\\\
\binom{5}{3}\cdot3^{2\cdot5-2\cdot4}=10\cdot3^{2}=10\cdot9=90$

It's 90

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3 years ago

A bicycle wheel has a circumference of 75 inches. What is the approximate radius of the wheel?

riadik2000 [5.3K]

Answer:

23.87

Step-by-step explanation:

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3 years ago

Let O be an angle in quadrant III such that cos 0 = -2/5 Find the exact values of csco and tan 0.

vivado [14]

well, we know that θ is in the III Quadrant, where the sine is negative and the cosine is negative as well, or if you wish, where "x" as well as "y" are both negative, now, the hypotenuse or radius of the circle is just a distance amount, so is never negative, so in the equation of cos(θ) = - (2/5), the negative must be the adjacent side, thus

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2 years ago

AD= DC= Angle a= Angle b= Angle c=

Nadya [2.5K]

9514 1404 393

Answer:

AD= 8

DC= 15

Angle a= 112°

Angle b= 68°

Angle c= 112°

Step-by-step explanation:

We have to assume the figure is a parallelogram.

Opposite sides of a parallelogram are congruent, so ...

BC = AD = 8

AB = DC = 15

Opposite angles are congruent, and adjacent angles are supplementary.

180° - ∠D = Angle a = Angle c = 112°

∠D = Angle b = 68°

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