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kati45 [8]
3 years ago
12

Events A and B are independent. The probability of A occurring is . The probability of B occurring is . What is P(A and B)?

Mathematics
2 answers:
gayaneshka [121]3 years ago
6 0

Answer:

1/10 is the correct answer.

Step-by-step explanation:

MArishka [77]3 years ago
4 0
The probability of both A and B occurring is A×B
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12.2%

Step-by-step explanation:

Her total paycheck minus her salary = the commission amount

So

6500 - 1000 = 5500

So....her commission as a percentage of sales  = 5500/ 45000 = about 12.2%

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3 years ago
Write the expression only using positive exponents: <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B8x%20%5E%7B3%7D%20%7D%7B2
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Your answer would be 4 over x to the sixth which would look like this

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5 0
3 years ago
A cube has how many vertices
Ulleksa [173]

Answer: 8 vertices

Step-by-step explanation: A cube has 6 square faces. Each segment formed by the intersection of 2 faces is called an edge so a cube has 12 edges. Each point formed by the intersection of 3 edges is called a vertex so a cube has 8 vertices.

3 0
3 years ago
36% is 4.3 million of what number?
harina [27]
The correct answer is 11944444
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3 0
3 years ago
Read 2 more answers
An open top rectangular box is to be made from a rectangular piece of metal that is 3cm wide and 8cm long by cutting a square fr
Tanzania [10]

Answer:

x  = 0.67 cm

Step-by-step explanation:

Let call  " x " the length of the side of the square to cut from each corner

then the sides of the future box would be

L = 8 - 2x       and   D = 3 - 2x

The volume of the box is:

V = L*D*x

And such volume as function of x is

V(x)  = ( 8 - 2x ) * ( 3 - 2x ) * x     ⇒  V(x)  = ( 24 - 16x - 6x + 4x²) * x

V(x)  =  4x³ - 22x² + 24x

Taking derivatives on both sides of the equation we get:

V´(x) = 12x² - 44x + 24

Then    V´(x) = 0       ⇒   12x² - 44x + 24 = 0    ⇒  3x² -  11x + 6 = 0

We got a second degree equation solving for x

x₁,₂  = [11 ± √ 121 - 72 ] / 6

x₁  = ( 11 + 7 ) / 6         x₁  =  3   we dismiss this solution since according to problem statement  one side would become negative

Then

x₂  =  (  11 - 7 ) / 6    ⇒    x₂  =  4/6      ⇒   x₂  =  0.67 cm

As the second drivative is smaller than 0 then there is a maximun in that point

V´´(x)  = 12x - 44  < 0

Sides of the box

L = 8 - 2x    ⇒  L = 8 - 2*(0.67)   ⇒  L  = 8  - 1.34    ⇒  L = 6.66 cm

D = 3 - 2x   ⇒   D = 3 - 2* (0.67) ⇒  D = 3 - 1.34    ⇒   D = 1.66 cm

Heigh  =  x  = 0.67 cm

V(max) = 6.66*1.66*0.67

V(max) = 7.41 cm³

5 0
3 years ago
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