All categories

3 years ago

A and B are independent events. P(A)=0.80 and P(B)=0.10. what is P(A and B)?

Mathematics

2 answers:

vaieri [72.5K]3 years ago

8 0

You multiply them so it would be 0.08

Burka [1]3 years ago

4 0

Yes it would be b I think

You might be interested in

WhAts the answer to 5?

Paha777 [63]

I think its b but i am not surely sure so you might want to check with someone else

3 0

3 years ago

Read 2 more answers

What is the Answer to -14.5 + (-1.24)

Bingel [31]

The answer would be -15.74

4 0

3 years ago

Read 2 more answers

If h = 12 units and r = 4 units, what is the volume of the cone

rjkz [21]

The volume would be 201.06

4 0

3 years ago

Read 2 more answers

What is The equivalent fraction of 2/5

Nat2105 [25]

Answer:

4/10 is equivalent to 2/5

Step-by-step explanation:

because 4/10 is written as 0.4 in decimal form and so is 2/5, which means they are equivalent

7 0

3 years ago

EXAMPLE 5 If F(x, y, z) = 4y2i + (8xy + 4e4z)j + 16ye4zk, find a function f such that ∇f = F. SOLUTION If there is such a functi

Valentin [98]

If there is such a scalar function f, then

$\dfrac{\partial f}{\partial x}=4y^2$

$\dfrac{\partial f}{\partial y}=8xy+4e^{4z}$

$\dfrac{\partial f}{\partial z}=16ye^{4z}$

Integrate both sides of the first equation with respect to x :

$f(x,y,z)=4xy^2+g(y,z)$

Differentiate both sides with respect to y :

$\dfrac{\partial f}{\partial y}=8xy+4e^{4z}=8xy+\dfrac{\partial g}{\partial y}$

$\implies\dfrac{\partial g}{\partial y}=4e^{4z}$

Integrate both sides with respect to y :

$g(y,z)=4ye^{4z}+h(z)$

Plug this into the equation above with f , then differentiate both sides with respect to z :

$f(x,y,z)=4xy^2+4ye^{4z}+h(z)$

$\dfrac{\partial f}{\partial z}=16ye^{4z}=16ye^{4z}+\dfrac{\mathrm dh}{\mathrm dz}$

$\implies\dfrac{\mathrm dh}{\mathrm dz}=0$

Integrate both sides with respect to z :

$h(z)=C$

So we end up with

$\boxed{f(x,y,z)=4xy^2+4ye^{4z}+C}$

7 0

3 years ago