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2 years ago

If a probability distribution is 5/12, 1/6, 1/3, x, what is the value of x

Mathematics

2 answers:

wolverine [178]2 years ago

5 0

The probabilities of all possible outcomes in a distribution must sum to 1.

$\dfrac5{12}+\dfrac16+\dfrac13+x=1\implies x=\dfrac1{12}$

mojhsa [17]2 years ago

4 0

Answer:

1/12 C

Step-by-step explanation:

5/12

1/6=2/12

1/3=4/12

5/12-3=2/12

2/12+2=4/12

4/12-3= 1/12

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How many points are needed to determine a unique line

torisob [31]

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So I think it would be 2

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3 years ago

Let A be the area of a circle with radius r. If dr/dt=3, find dA/dt when r=2.

astraxan [27]

$\bf \textit{area of a circle}=A=\pi r^2
\\\\\\
\cfrac{dA}{dt}=\pi \cdot 2r^1\cdot \cfrac{dr}{dt}\implies \cfrac{dA}{dt}=\pi \cdot 2r\cdot \cfrac{dr}{dt}\quad 
\begin{cases}
r=2\\
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3 0

3 years ago

Read 2 more answers

Given equation x = 6 + i, w = -1 + 5i and z = 4 - 8i, determine each of the following in the form of a + bi

Temka [501]

Answer:

i) 28 - 30i

ii) 36 + 28i

Step-by-step explanation:

i) x = 6 + i ⇒2x = 2(6 + i) = 12 + 2i

z = 4 - 8i ⇒ 4z = 4(4 - 8i) = 16 - 32i

2x + 4z = (12 + 2i) + (16 - 32i) = 28 - 30i

ii) w = -1 + 5i and z = 4 - 8i

w × z = (-1 + 5i)(4 - 8i) = -4 + 8i + 20i - 40 $i^{2}$ ⇒collect like terms

w × z = -4 + 28i - 40 $i^{2}$

∵ $i^{2}=-1$

∴w × z = -4 + 28i - 40(-1) = -4 + 28i + 40 = 36 + 28i

3 0

2 years ago

Two square sheets of cardboard used for making book covers differ in area by 64 square inches. An edge of the larger square is 2

photoshop1234 [79]

Answer:

15 inches

Step-by-step explanation:

We assume that the edge of the small square is x (inches).

As the edge of the larger square is 2 inches greater than that of the smaller one, so that the edge of the larger square = edge of the small square + 2 = x + 2 (inches)

The equation to calculate the are of a square is: Area = Edge^2

So that:

+) The area of the larger square is: Area large square = $(x+2)^{2}$ (square inches)

+) The area of the smaller square is: Area small square = $x^{2}$ (square inches)

As difference in area of both squares are 64 square inches, so that we have:

Area large square - Area small square = 64 (square inches)

=> $(x+2)^{2} -x^{2} =64$

=> $x^{2}+4x+4 -x^{2} =64$

=> 4x + 4 = 64

=> 4x = 64 - 4 = 60

=> x = 60/4 = 15 (inches)

So the length of an edge of the smaller square is 15 inches

3 0

3 years ago

I NEED ANSWER ASAP! I HAVE A LOT OF POINTS, I WILL GIVE 50 POINTS AND BRAINLIEST TO FIRST ANSWERRRRRR!

Mekhanik [1.2K]

Answer:

A) A = 1; B = 0; C = 20

Step-by-step explanation:

The standard form for a quadratic is

Ax^2 +Bx +C=0

We are given

1/4x^2 + 5 = 0

Rewriting

1/4x^2 +0x+ 5 = 0

A = 1/4 B=0 C=5

We can multiply each side by 4

4(1/4x^2 +0x+ 5) = 0*4

x^2 +0x+ 20 = 0

A = 1 B=0 C=20

7 0

3 years ago

Read 2 more answers