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wel
3 years ago
14

A and B are two events.

Mathematics
1 answer:
maria [59]3 years ago
4 0

Answer:

0.8

Step-by-step explanation:

We can solve P(A or B) by using the following:

P(AorB)=P(A)+P(B)-P(AandB)

Since we know P(A) = 0.6, P(B) = 0.3 and P(A and B) = 0.1 we obtain:

P(AorB)=0.6+0.3-0.1=0.8


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Determine if b is a linear combination of a1 a2, and a3. a1 = [ 1 -2 0 ], a2 = [ 0 1 3 ], a3 = [ 6 -6 18 ], b = [ 2 -2 6 ] Choos
marysya [2.9K]

Answer: Vector b is not a linear combination

Step-by-step explanation:

First of all we put the vectors in terms of different variables, such as:

a1(1,-2,0)=(a,-2a,0);

a2(0,1,3)=(0,b,3b);

a3(6,-6,18)=(6c,-6c,18c);

To know that a vector is a linear combination we need to express it like a sum of other different vectors.

(2,-2,6)=(a,-2a,0)+(0,b,3b)+(6c,-6c,18c)

(2,-2,6)=(a+0+6c,-2a+b-6c,0+3b+18c)

We express this sum like a system of equations.

a+6c=2

-2a+b-6c=-2

3b+18c=6

We solve this system of equations and we can note that the system don't have a solution, so the vector b is not a linear combination of a1, a2, and a3.

8 0
2 years ago
Read 2 more answers
P/9 - 1 &lt; -2 ...<br> Solve for p
love history [14]

Step-by-step explanation:

first collect terms, while the < remains unchange

<u>P</u><u> </u><u> </u>< 1-2

9

cross examine and get the answer

<u>P</u><u> </u>< <u>-</u><u>1</u>

9 1

<em>P</em><em> </em><em>=</em><em> </em><em>-</em><em>9</em>

7 0
3 years ago
A card is selected at random from an ordinary deck of 52 cards. What is the probability that it is either an ace or a spade
tamaranim1 [39]

Answer: 4/13

Step-by-step explanation:

Number of cards in a deck = 52

Number of spades = 13

Number of aces = 4

Number of ace of spade = 1

Probability of either a spade or an ace :

P(spade or ace) = P(spade U ace)

P(spade U ace) = p(spade) + p(ace) - p(spade n ace)

Probability = required outcome / Total possible outcomes

P(spade) = 13 / 52

P(ace) = 4 / 52

P(spade n ace) = 1 / 52

P(spade U ace) = p(spade) + p(ace) - p(spade n ace)

= 13/52 + 4/52 - 1/52

= 16 / 52 = 4 /13

8 0
2 years ago
A linear function has a slope of -7/9 and a y-intercept of 3. How does this function compare to the linear function that is repr
Dmitriy789 [7]
The answer is that they're equal, one is just in point-slope form and the other is in slope-intercept form
4 0
3 years ago
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1/3n = 4....multiply both sides by 3/1 or just 3, the reciprocal of 1/3
(3/1)(1/3)n = 4 * 3/1
n = 12
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3 years ago
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