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3 years ago

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The theater's income in dollars are sold is(20x18)x5.use properties to find the total income.what property is (20x18)x5. the pro

perties names are (if you don't know) commutitive, assosative, identity property of 0.

1 answer:

Pie3 years ago

4 0

Associative Property of Addition

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Let X be the number of Heads in 10 fair coin tosses. (a) Find the conditional PMF of X, given that the first two tosses both lan

inn [45]

Answer:

Follows are the solution to the given point:

Step-by-step explanation:

For option A:

In the first point let z be the number of heads which is available on the first two trails of tosses so, the equation is:

$P(X=k | z=2 ) = \begin{pmatrix} 10-2\\ k-2\end{pmatrix} (\frac{1}{2})^{k-2} (\frac{1}{2})^{10-k}$

$= \begin{pmatrix} 8\\k-2\end{pmatrix} (\frac{1}{2})^{k-2} (\frac{1}{2})^{10-k} \ \ \ \ \ \ \ \ \ \ \\\\$

$k= 2,3..........10$ For option B:

$P(X=k | X \geq 2 ) = \sum^{10}_{i=2} \begin{pmatrix} 10-i\\ k-i\end{pmatrix} (\frac{1}{2})^{k-i} (\frac{1}{2})^{10-k}$

$k= 2,3, 4.........10$

8 0

3 years ago

If A(1,2), B(5,-4) and (-3,2) are the vertices of a triangle, which statement holds true?

Zigmanuir [339]

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The correct option is A.

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

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The length of different sides are:

$AB = \sqrt{(5-1)^2+(-4-2)^2} = \sqrt{16+36} = \sqrt{52}\rm\ units$

$BC = \sqrt{(-3-5)^2+(2+4)^2} = \sqrt{64+36} = 10\rm\ units$

$AC = \sqrt{(2-2)^2+(-3-1)^2} = \sqrt{16} = 4\rm\ units$

Since the length of all the sides of the triangle is not equal it is a scalene triangle.

Hence, the correct option is A.

Learn more about Triangle:

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7 0

2 years ago

Read 2 more answers

HELPPPOPP giving braniliest again and again!!

djyliett [7]

Answer:

6 and 48

Step-by-step explanation:

when t=1, the expression is 6

when t=4, the expression is 48

:)

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2 years ago

Read 2 more answers

writing to explain what is the greatest six-digit number you can write? what is the smallest six-digit number your can write? dr

musickatia [10]

Biggest is all nine's
smallest is 1 then zeroes

greatest
999999
smallest
10000

4 0

3 years ago

Which is the equation of a line that has a slope of -2/3 and passes through point (–3, –1)?

emmainna [20.7K]

Answer:

y = (-2/3)x-3

Step-by-step explanation:

Hello:

equation is the line is : y = ax+b a is a slope

y = (-2/3)x+b

passing through the point (−3;−1) : -1 =(-2/3)(-3)+b so : b = -3

y = (-2/3)x-3

second solution : you can verify (-3 ; -1) in the equation : y = (-2/3)x-3

3 0

3 years ago