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sasho [114]
3 years ago
13

Tom and Jerry are hoping to be selected from their class of 27 as president and vice-president of the Social Committee (they jus

t want the positions, but don't care which of the two is the president). If the three-person committee (president, vice-president, and secretary) is selected at random, what is the probability that Tom and Jerry would be president and vice president? Round your answer to six decimal places.
Mathematics
1 answer:
andrezito [222]3 years ago
8 0

Answer:

(1/117). decimal is 0.008547(6 decimal places)

Step-by-step explanation:

Ok here u go

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What are the coordinates of the orthocenter of △JKL with vertices at J(−4, −1) , K(−4, 8) , and L(2, 8) ?
Sati [7]

<u>Answer-</u>

<em>The coordinates of the orthocenter of △JKL is (-4, 8)</em>

<u>Solution-</u>

The orthocenter is the point where all three altitudes of the triangle intersect. An altitude is a line which passes through a vertex of the triangle and is perpendicular to the opposite side.

For a right angle triangle, the vertex at the right angle is the orthocentre of the triangle.

Here we are given the three vertices of the triangle are  J(-4,-1), K(-4,8) and L(2,8)

If the triangle JKL satisfies Pythagoras Theorem, then triangle JKL will be a right angle triangle.

Applying distance formula we get,

JK^2= (-4+4)^2+ (8+1)^2=0+81=81\\\\KL^2= (-4-2)^2+ (8-8)^2=36+0=36\\\\JL^2= (-4-2)^2+(8+1)^2=36+81=117

As,

\Rightarrow 117=81+36

\Rightarrow JL^2=JK^2+KL^2

\Rightarrow \text{JKL is a right angle triangle}

\Rightarrow \angle K=90^{\circ}

Therefore, the vertex at K (-4, 8) is the orthocentre.

3 0
3 years ago
The triangle below is isosceles. Find the length of side x in simplest radical form with
Grace [21]

Step-by-step explanation:

it's the square equal to the equivalent equation to equal 5 673y

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2 years ago
Will give Brainliest. Write a linear equation for this statement:
Llana [10]

Answer:

H(d) = -9.5(d-1) + 100

Step-by-step explanation:

Let d_n denote the number of hits on day n, then:

d_1 = 100, d_3 = 81

we can calculate that over the 2 days, the number of hits decreased by 19.

Assuming this is a linear equation and not an exponential decay line, then the series equation would be: d_n_+_1 = d_n - 9.5

To write this as a linear equation, if H(d) is a function where d is the day starting from 1 and H(d) is the nubmer of hits on that day:

H(d) = -9.5(d-1) + 100

3 0
2 years ago
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What is the coefficient of the last term in the binomial expansion of (x 1)9? 0 1 9 10
alekssr [168]

The coefficient of the last term in the binomial expansion is 1.

Given term is (x + 1)⁹.

The algebraic expansion of a binomial's powers is expressed by the binomial theorem or binomial expansion. The process of expanding and writing terms that are equal to the natural number exponent of the sum or difference of two terms is known as binomial expansion.

The binomial expansion formula for (a + b)ⁿ= ⁿC₀(aⁿb⁰)+ⁿC₁(aⁿ⁻¹b¹)+ⁿC₂(aⁿ⁻²b²)+ⁿC₃(aⁿ⁻³b³)+...............+ⁿCₙ(a⁰bⁿ)

Here, a = x, b = 1 and n = 9.

Substituting the values in the formula,

⁹C₀(x⁹{1}₀)+⁹C₁(x⁹⁻¹{1}¹)+⁹C₂(x⁹⁻²{1}²)+⁹C₃(x⁹⁻³{1}³)+......+⁹C₉(x⁰{1}⁹)

The last term is ⁹C₉(x⁰{1}⁹)

The coefficient of the last term = ⁹C₉ = 1.

Hence, the coefficient of the last term in the binomial expansion of (x+1)⁹ is 1.

Learn more about binomial expansion from here brainly.com/question/13602562

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2 years ago
Martin is wrapping a present and cut a piece of ribbon that is
galina1969 [7]
The answer us 0.79 m
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3 years ago
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