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3 years ago

Find the equation of line

Mathematics

1 answer:

Elza [17]3 years ago

3 0

Answer:

y= -1/3x+5

Step-by-step explanation:

-1/3 is the slope (rise/run)

5 is the y-intercept

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Suppose each of 12 players rolls a pair of dice 3 times. Find the probability that at least 4 of the players will roll doubles a

polet [3.4K]

Answer:

Our answer is 0.8172

Step-by-step explanation:

P(doubles on a single roll of pair of dice) =(6/36) =1/6

therefore P(in 3 rolls of pair of dice at least one doubles)=1-P(none of roll shows a double)

=1-(1-1/6)3 =91/216

for 12 players this follows binomial distribution with parameter n=12 and p=91/216

probability that at least 4 of the players will get “doubles” at least once =P(X>=4)

=1-(P(X<=3)

=1-((₁₂ C0)×(91/216)⁰(125/216)¹²+(₁₂ C1)×(91/216)¹(125/216)¹¹+(₁₂ C2)×(91/216)²(125/216)¹⁰+(₁₂ C3)×(91/216)³(125/216)⁹)

=1-0.1828

=0.8172

7 0

3 years ago

The transitive property of angle congruence states that if ________ ≅ ∠QRS and ∠QRS ≅ ∠PQR, then ∠XYZ ≅ ∠PQR . A) ∠XQR B) ∠QRS C

djverab [1.8K]

Answer:

The answer is ∠XQR

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Here is an expression: 2 + 3ⁱ ( Remember what you do when you replace i with a number) Evaluate the expression when i is 1.

Kamila [148]

Answer:

The value of the expression when i is 1 is equals to 5.

Step-by-step explanation:

We are given the following expression:

$2 + 3^{i}$

Evaluate the expression when i is 1.

We replace i by 1. When we elevate a number to the 1, the result is the number we elevate. So

$2 + 3^{i} = 2 + 3^{1} = 2 + 3 = 5$

The value of the expression when i is 1 is equals to 5.

3 0

3 years ago

Which of the following is the solution set of -2|xl <-8

hram777 [196]

Answer:

X = 4

Step-by-step explanation:

-2 times any positive is a negative

X also can't be a negative

so -2 times 4 = -8

3 0

3 years ago

Prove that P(2,3), (3, 4), R(5, 6) and S(4,5) are the vertices of a rhombus

MatroZZZ [7]

Solution :-

Given coordinates to us are ,

P(2,3) .
Q(3,4).
R(5,6)
S(4,5)

Here it is asked to Prove that these are vertices of Rhombus . So we know that all sides of a Rhombus are equal .So if we show that value of all sides lenght are equal , then it will be a Rhombus .

We will use Distance Formula .

Now , here ,

Distance between P and Q :

⇒ x = √ (2 - 3)² + (3-4)² .

⇒ x = √ (-1)² + (-1)² .

⇒ x = √ 1 + 1 .

⇒ x = √2 .

Distance between Q and S :

⇒ x =√ [ (3-4)² + (5-4)².

⇒x = √ 1² + 1² .

⇒ x = √ 1 + 1 .

⇒ x = √2 .

Similarly we can prove other distances equal.

3 0

3 years ago