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3 years ago

Which of the following formulas is used to calculate the probability of independent events A and B?

Mathematics

2 answers:

maksim [4K]3 years ago

8 0

P (A and B) = P(A) * P(B)...answer is D

Jlenok [28]3 years ago

4 0

<h2>Answer:</h2>

The formula that is used to calculate the probability of independent events A and B are:

D. P(A and B)=P(A)·P(B)

<h2>Step-by-step explanation:</h2>

Independent events--

Two events A and B are said to be independent if the happening of one event do not affect the happening of the other event.

For example-- The probability of getting two heads on rolling a die two times.

Hence, the formula that calculate the probability of independent events A and B is given by:

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

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Given: △ACM, m∠C=90°, CP ⊥ AM

larisa86 [58]

Answer: The answer is $3\dfrac{4}{7}.$

Step-by-step explanation: Given in the question that ΔAM is a right-angled triangle, where ∠C = 90°, CP ⊥ AM, AC : CM = 3 : 4 and MP - AP = 1. We are to find AM.

Let, AC = 3x and CM = 4x.

In the right-angled triangle ACM, we have

$AM^2=AC^2+CM^2=(3x)^2+(4x)^2=9x^2+16x^2=25x^2\\\\\Rightarrow AM=5x.$

Now,

$AM=AP+PM=AP+(AP+1)\\\\\Rightarrow 2AP=AM-1\\\\\Rightarrow 2AP=5x-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(A)$

Now, since CP ⊥ AM, so ΔACP and ΔMCP are both right-angled triangles.

So,

$CP^2=AC^2-AP^2=CM^2-MP^2\\\\\Rightarrow (3x)^2-AP^2=(4x)^2-(AP+1)^2\\\\\Rightarrow 9x^2-AP^2=16x^2-AP^2-2AP-1\\\\\Rightarrow 2AP=7x^2-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(B)$

Comparing equations (A) and (B), we have

$5x-1=7x^2-1\\\\\Rightarrow 5x=7x^2\\\\\Rightarrow x=\dfrac{5}{7},~\textup{since }x\neq 0.$

Thus,

$AM=5\times\dfrac{5}{7}=\dfrac{25}{7}=3\dfrac{4}{7}.$

8 0

3 years ago

Using radicals, what is an equivalent expression for the expression 2 1/3

faltersainse [42]

Answer:

Step-by-step explanation:

21/3

3 will council it self one and 21 7times

4 0

2 years ago

the school band will sell pizzas to raise money for new uniforms the supplier charges $100 plus $4 per Pizza the band members se

VladimirAG [237]

100+4x =7x

100=3x

100/3 = 33.33

x = 33.33 round up to 34

they need to sell 34 pizzas to make a profit

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3 years ago

In a place 100 soldiers had enough food for 60 days .how many soldiers leave the place so that food long last for 80 days

Tresset [83]

Answer:

48 soldiers leave the place.

Step-by-step explanation:

100/60=80/x
100x=4800
x=4800/100
x=48

hope it helps.

<h2>stay safe healthy and happy.</h2>

3 0

2 years ago

**Absurd answers won't be tolerated** They're about 50 students in a class that took a test. 21 of those students passed. If 13

xxTIMURxx [149]

Answer: About 10.5 passed.

Step-by-step explanation:

1. Convert 50% into a decimal.

First, convert 50% into a fraction, which is 1/2.

Divide 1/2 by its numerator and denominator.

1 / 2 = 0.5

Hence, the answer is 0.5.

4 0

3 years ago