I don't know how to do this can someone help

A five digit number made up of different digits that are all odd

kondaur [170]

97,531 because all of the numbers are different & odd! it’s also the highest 5 digit number that you can make with these qualities

8 0

3 years ago

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A lot of 80 bulbs contains 45 defective and 32 non warranty bulbs. One bulb is drawn at random from the lot. What is the probabi

kenny6666 [7]

Step-by-step explanation:

Total bulbs = 80

Probability of defective bulbs = 45/80 = 9/16

Probability of non warranty bulbs = 32/80 = 4/5

5 0

3 years ago

Assume that we have two events, and , that are mutually exclusive. Assume further that we know and . If an amount is zero, enter

sweet [91]

Answer:

Explained below.

Step-by-step explanation:

The complete question is:

Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.30 and P(B) =0.40.

What is P(A and B)?

What is P(A | B)?

Is P(A | B) equal to P(A)?

Are events A and B dependent or independent?

A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Is this statement accurate?

What general conclusion would you make about mutually exclusive and independent events given the results of this problem?

Solution:

The probability of the two events A and B are:

P(A) = 0.30 and P(B) =0.40

(a)

Compute the value of P (A ∩ B) as follows:

$P(A\cap B)=0$

This is because mutually exclusive events are those events that cannot occur together.

(b)

Compute the value of P (A | B) as follows:

$P(A|B)=\frac{P(A\cap B)}{P(B)}=\frac{0}{0.40}=0$

Thus, the value of P (A | B) is 0.

(c)

No, P (A | B) is not equal to the P (A).

(d)

As mentioned in part (a), mutually exclusive events are those events which cannot occur together.

That is, $P(A\cap B)=0$ .

Events A and B are independent if the chance of their concurrent happening is equivalent to the multiplication of their distinct probabilities.

That is, $P(A\cap B)=P(A)\times P(B)$ .

The concepts of mutually exclusive events and independent events are not the same.

(e)

As the it is provided that A and B are mutually exclusive events, we know that $P(A\cap B)=0$ .

Now compute the value of $P(A)\times P(B)$ as follows:

$P(A)\times P(B)=0.30\times 0.40=0.12\neq 0$

Thus, the events A and B are not independent.

Thus, if two events are mutually exclusive events they cannot be independent.

4 0

3 years ago

I need help with please

Tcecarenko [31]

Answer:

x - 2

Step-by-step explanation:

2x - 1 + 4x - 11

First, you want to combine like terms.

We can see that the one and eleven can go together, so add them together.

2x + 4x - 12

The reason that we made one, and eleven, negative twelve, is because they are both being subtracted from the numbers before that.

6x - 12

We added the 2x, and the 4x together to make 6x.

Another way to write this would be x - 2, because you can simplify it by dividing it by 6.

7 0

3 years ago

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Find an equation of the tangent line to the hyperbola: x^2/a^2 - y^2/b^2 = 1 at the point (x0,x1)

musickatia [10]

The standard form of a hyperbola is x2/a2 − y2/ b2 = 1
the tangent line is the first derivative of the functiony′ = b^2x/ a^2 y
hence the slope is m = b^2 x0 / a^2 x1

Therefore the equation of the tangent line isy−x1 = b^2 x0 / a^2 x1* (x−x0)

8 0

3 years ago

I don't know how to do this can someone help​

I don't know how to do this can someone help