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2 years ago

The Multiplication Rule says that P(A and B) = P(A) × P(B). What must be true about events A and B for this rule to apply?

Mathematics

1 answer:

djyliett [7]2 years ago

7 0

Answer:

Events A and B are independent.

Step-by-step explanation:

We are given that

Multiplication rule for events A and B

$P(A\cap B)=P(A)\times P(B)$

We have to write true statement about events A and B for this rule to apply.

We know that when two events A and B are independent

Then, the probability

$P(A\cap B)=P(A)\cdot P(B)$

Therefore, true statement about events A and B for this rule to apply is given by

Events A and B are independent.

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Find the simple interest on $6000 from 16 May 2010 to 9 October 2010 at 10 percent per annum

omeli [17]

Answer:

$240.02

Step-by-step explanation:

10% per year means "how much percent per day?"

We need to divide 10 by 365 since there are 365 days in a year. Hence,

$\frac{10}{365}=0.0274$

So, that is 0.0274% per day

In decimal, we have to divide this percentage by 100, so, that is:

0.0274/100 = 0.000274

Daily interest on the principal is thus the multiplication of this value with principal (6000), that is:

0.000274 * 6000 = 1.644

From 16 May till 9 October would be:

16 May - 31 May = 15 days

1 June - 30 June = 30 days

1 July - 31 July = 31 days

1 Aug - 31 Aug = 31 days

1 Sep - 30 Sep = 30 days

1 Oct - 9 Oct = 9 days

Total Days is 15 + 30 + 31 + 31 + 30 + 9 = 146 days

Thus, total simple interest for 146 days would be:

1.644 * 147 = $240.02

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2 years ago

A sample of bacteria is growing at a rate of 8% per hour compound continuously. How many hours will it take for the sample to do

Anettt [7]

Answer:

The sample would double in 9 hours

Step-by-step explanation

The number of hours it will take for the sample to double can be found using the 72 rule.

The 72 rule is such that a growth rate would double itself by it is used in dividing the number 72 as shown below:

number of hours =72/8=9 hours

The number of hours it would take the sample to double is 9 hours as computed above.

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2 years ago

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ch4aika [34]

Answer:

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Step-by-step explanation:

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Milla and Luka are 3 kilometers apart and walking toward each other. Milla's average speed is 5 kilometers per hour and Luka's i

pantera1 [17]

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2 years ago

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Two of the steps in the derivation of the quadratic formula are shown below. Step 6: StartFraction b squared minus 4 a c Over 4

sergeinik [125]

Answer:

Step-by-step explanation:

From the step given step 6

(b² — 4ac) / 4a² = (x + b/2a)²

Mistake in question it is (x + b/2a)²

Step 7 given

±√(b² —4ac) /2a = x + b/2a

Mistake in question it is over 2a and not 1a.

1. The step taken from step 6 to step 7 is taking square roots of both sides

(b² — 4ac) / 4a² = (x + b/2a)²

Taking square of both sodes

√(b²—4ac) / √4a² = √(x + b/2a)²

√(b²—4ac) / 2a = x + b/2a

This is the required step 7.

Now, subtracting b/2a from both sides

√(b²—4ac) / 2a - b/2a= x + b/2a -b/2a

√(b²—4ac) / 2a — b/2a = x

(√(b²—4ac) — b)/2a = x

x = [—b ± √(b²—4ac)] / 2a

So, this is the required formula method

The discriminant is D = b²—4ac.

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2 years ago

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