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Gennadij [26K]
3 years ago
8

Simplify. Assume that all variables are positive.

Mathematics
1 answer:
Alja [10]3 years ago
3 0
I'm confused... Should there be more pictures? This in incomplete...
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Suppose two events A and B are mutually exclusive, with P(A) ≠ 0 and P(B) ≠ 0. By working through the following steps, you'll se
DanielleElmas [232]

Answer with Step-by-step explanation:

We are given that two events A and B are mutually exclusive.

A\cap B=\phi

P(A\cap B)=0

P(A)\neq 0

P(B)\neq 0

a.For mutually exclusive events,

P(A/B)=\frac{P(A\cap B)}{P(B)}=\frac{0}{P(A)}=0

Therefore, event A can not occurred if event B has occurred because two events can not occur together.

Answer:No, by definition mutually exclusive events cannot occur together.

b.When two events are independent

Then , P(A\cap B)=P(A)\cdot P(B)

P(A/B)=\frac{P(A)\cdot P(B)}{P(B)}=P(A)

If two events are mutually exclusive then

P(A\cap B)=0

Then , P(A/B)=0

Therefore, P(A/B)\neq P(A)

Hence, we can concluded that events A and B are not independent if they are mutually exclusive.

Answer:Yes, P(A/B)\neq P(A)

7 0
3 years ago
The triangle below has an exterior angle of 110 degrees. What is the value of angle x?
faltersainse [42]

Answer: 70 degrees

Step-by-step explanation:

An exterior angle and the interior angle it corresponds to are supplementary.

4 0
2 years ago
If there are 4boys and 2girls in a family, what is the ratio of boys in the family to children in the family?
BARSIC [14]
Assuming the 4 girls and 2 boys are all children, the ratio of boys to toal children is 2 to 6. This can simplify to 1 to 3.
Final answer: 1 to 3
3 0
3 years ago
3. A copy machine makes 60 copies per minute. A second
Brums [2.3K]

Answer:

E

Step-by-step explanation:

6 x 480 + 8 x 60 = 960..........

8 0
3 years ago
1 inch = 2.54 centimeters The radius of the hexagon is 30 cm What is the approximate area to be covered by the window in square
lora16 [44]

Answer:

  2.5 square feet

Step-by-step explanation:

The area (A) of a regular hexagon in terms of its side length (s) is ...

  A = (3/2)(√3)s²

The side length in feet is ...

  (30 cm)×(1 ft)/(30.48 cm) = s = 30/30.48 ft = 125/127 ft

Then the area in square feet is ...

  A = (3/2)√3(125/127 ft)² ≈ 2.517 ft²

The approximate area of the hexagon is 2.5 square feet.

_____

<em>Comment on the question</em>

There is nothing in this problem statement that relates the hexagon to the window area.

5 0
3 years ago
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