Mariana wants to research a career in veterinary medicine. Where could she find accurate and objective information?

Instructions: Match each equations with correct type of event.

Mazyrski [523]

The question is incomplete. Below you will find the missing contents.

The correct match of events with order are,

P(A)P(B|A) - Dependent event
P(A)+P(B) - Mutually exclusive events
P(A and B)/P(A) - Conditional events
P(A) . P(B) - Independent Events
P(A)+P(B) -P(A and B) - not Mutually exclusive events.

When two events A and B are independent then,

P(A and B)=P(A).P(B)

when A and B are dependent events then,

P(A and B) = P(A) . P(B|A)

When two events A and B are mutually exclusive events then,

P(A and B)=0

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

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

When events are not mutually exclusive then the general relation is,

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

If the probability of the event B conditioned by A is given by,

$\mathrm{P(B|A)=\frac{P(A~and~B)}{P(A)}}$

Hence the correct match are -

$\mathrm{P(A)P(B|A)\rightarrow}$ Dependent event
$\mathrm{P(A)+P(B)}\rightarrow$ Mutually exclusive events
$\mathrm{\frac{P(A ~and ~B)}{P(A)}\rightarrow}$ Conditional events
$\mathrm{P(A) . P(B)\rightarrow}$ Independent Events
$\mathrm{P(A)+P(B) -P(A ~and ~B)\rightarrow}$ not Mutually exclusive events.

Learn more about Probability of Events here -

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5 0

1 year ago

(c) One lorry travels from your town to another town. The lorry reaches a top speed

Katen [24]

Answer:

The average speed is 24 km/h less than the top speed of the lorry.

Step-by-step explanation:

The top speed of the lorry is the highest speed reached during transit, while its average speed is the mean speed attained

Given:.

Top speed of the lorry = 90 km/h

Average speed of the lorry = 66 km/h

Then,

The difference between the speed reached = top speed - average speed

= 90 - 66

= 24 km/h

Therefore, the average speed is 24 km/h less than the top speed of the lorry.

8 0

2 years ago

Oliver draws a line on his paper and from a point on the line draws a circle. He then measures the radius of his circle and cons

olasank [31]

Dye answer is The letter D

7 0

2 years ago

The area of a rectangle painiting is given by the trinomial x^2-9x-36. what are the possible dimensions of the painting ? use fa

bagirrra123 [75]

(x + 3) • (x - 12)

The first term is, x2 its coefficient is 1 .
The middle term is, -9x its coefficient is -9 .
The last term, "the constant", is -36 

Step-1 : Multiply the coefficient of the first term by the constant 1 • -36 = -36

Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is -9 .

-36 + 1 = -35 -18 + 2 = -16 -12 + 3 = -9 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and 3
 x2 - 12x + 3x - 36

Step-4 : Add up the first 2 terms, pulling out like factors :
 x • (x-12)
 Add up the last 2 terms, pulling out common factors :
 3 • (x-12)
Step-5 : Add up the four terms of step 4 :
 (x+3) • (x-12)
 Which is the desired factorization

Final result : (x + 3) • (x - 12)

8 0

3 years ago

Rick Mendez bought stock for $5,000, using $2,500 of his own money and $2,500 borrowed from the broker. One month later, the sto

-BARSIC- [3]

Answer:

It is 6%

Explanation:

The stock that is bought by Rick Mendez: 5,000

Own money used to buy: 2,500

Borrowed money: 2,500

Interest on borrowed money : 30

Brokerage commissions: 300

The stock is sold after one month: 5,650

Now first calculate the net profit = Selling price of stock – cost price of stock – Interest on borrowing – commission

5,650-5,000-30-300=320

Now calculate the rate of return = Net profit / cost of stock

320/5,000=.06

.06 or 6%

6 0

3 years ago