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JulsSmile [24]
2 years ago
10

Choose whether the probability is mutually exclusive or not

Mathematics
1 answer:
Semmy [17]2 years ago
4 0

9514 1404 393

Answer:

  mutually exclusive

Step-by-step explanation:

The formula of interest is ...

  P(A or B) = P(A) + P(B) - P(A and B)

Filling in the given values, we have ...

  9/10 = 2/5 + 1/2 - P(A and B)

Solving for P(A and B), we get ...

  P(A and B) = 2/5 +1/2 -9/10 = 4/10 +5/10 -9/10

  P(A and B) = 0

__

Events are mutually exclusive when <em>they can never happen at the same time</em>. That is, P(A and B) = 0.

The events A and B are mutually exclusive.

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Factor the expression 100n squared - 1
frez [133]
Factor using the difference of squares.

a^2-b^2 = (a+b)(a-b)

100n^2-1
(10n+1)(10n-1)

Final answer: (10n+1)(10n-1)
4 0
3 years ago
Find the distance between the points (6,5√5) and (4,3√2).<br> 2, 2√2, 2√3
FromTheMoon [43]

Answer:

D=\sqrt{(147-30\sqrt{10}}

Step-by-step explanation:

Here we are required to find the distance between two coordinates. We will use the distance formula to find the distance

The distance formula is given as

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Here we are given two coordinates as

(6,5\sqrt{5} ) , (4,3\sqrt{2} )

Substituting these values in the Distance formula given above we get

D=\sqrt{(6-4)^2+(5\sqrt{5} -3\sqrt{2}) ^2}

D=\sqrt{(2)^2+(5\sqrt{5})^2+(3\sqrt{2})^2-2*5\sqrt{5}*3\sqrt{2}}\\

D=\sqrt{4+125+18-2*15\sqrt{10}}\\D=\sqrt{147-30\sqrt{10}}\\

Hence this is our answer

6 0
3 years ago
Question 1
Readme [11.4K]

Answer:

Step-by-step explanation:

0.41

8 0
2 years ago
kemdrick is an ecologist he spends 8 hours on friday how many hours he spending on saturday to average 11 hours per day​
Sidana [21]

Answer:

\boxed{13}

Step-by-step explanation:

        Let x = hours worked on Saturday

Then x + 8 = total hours on Friday and Saturday

\text{Average} = \dfrac{ \text{total hours}} {\text{number of days}}\\\\11 = \dfrac{x + 8}{2}

22 = x + 8

 x = 13

Kendrick is working \boxed{13} hours on Saturday.

5 0
3 years ago
When a=5, calculate a^2.
Naddik [55]

Answer:

25

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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