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3 years ago

The addition law is potentially helpful when we are interested in computing the probability of

Mathematics

1 answer:

AleksandrR [38]3 years ago

4 0

Answer:

The union of two event

Step-by-step explanation:

Addition law of probability define that probability of two event is total sum of probability of any event subtract the probability of both events

There are two rules in addition law:

Addition law 1 - when both event are mutually exclusive, then probability of either event is the sum of each event probability.

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

Addition law 2 - when both events are non mutually exclusive then there in addition to the individual probability there is some overlap .

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

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algebraically determine the values of h and k to correctly complete the identity stated below : 2 x cubed - 10x squared + 11x -

11Alexandr11 [23.1K]

Answer:

The values for expression is h = - 2 and k = 5

Step-by-step explanation:

Given algebraic expression can be written as :

2 x³ - 10 x² + 11 x - 7 = ( x - 4 ) × ( 2 x² + h x + 3 ) + k

Now opening the bracket

Or, 2 x³ - 10 x² + 11 x - 7 = x × ( 2 x² + h x + 3 ) - 4 × ( 2 x² + h x + 3 ) + k

Or, 2 x³ - 10 x² + 11 x - 7 = 2 x³ + h x² + 3 x - 2 x² - 4 h x - 12 +k

Or , 2 x³ - 10 x² + 11 x - 7 = 2 x³ + ( h - 2 ) x² + ( 3 - 4 h ) x - 12 + k

Now, equating the equation both sides

I.e - 10 = ( h - 2 )

Or , h - 2 = - 10

I.e , h = - 10 + 2

∴ h = - 2

Again , 11 = ( 3 - 4 h )

or, 11 = 3 - 4 h

or, 11 - 3 = - 4 h

or, 8 = - 4 h

∴ h = $\frac{-8}{4}$

I.e h = - 2

Again

- 7 = - 12 + k

Or, k = - 7 + 12

∴ k = 5

Hence The values for expression is h = - 2 and k = 5 . Answer

5 0

3 years ago

Which expressions are equivalent to ln x 2 ln 5 ln 1? Check all that apply. 2 ln 5x ln (x 26) ln 25x ln 1 ln 25x.

Marysya12 [62]

Equivalent expression is the expression of two equation when the way of representation of the two equation is different but the result is same.The expressions which are equivalent to the given expression are,

$\ln25+\ln1$
$\ln25$

Given information-

The expression given in the problem is,

$\ln x+2 \ln 5 +\ln1$

<h3>Equivalent expression-</h3>

Equivalent expression is the expression of two equation when the way of representation of the two equation is different but the result is same.

For given expression,

$\ln x+2 \ln 5 +\ln1$

As the above function is the function of x. Thus it can be written as,

$f(x)=\ln x+2 \ln 5 +\ln1$

<h3>Logarithm power rule</h3>

Logarithm power rule states that the exponent of the logarithm function can transfers to front of the logarithm and vice versa. Thus,

$f(x)=\ln x+ \ln 5^2 +\ln1\\
f(x)=\ln x+ \ln 25 +\ln1$

Now the value of $\ln 1$ is equal to the zero. Thus,

$f(x)=0+\ln 25 +\ln1\\
f(x)=0+\ln 25 +\ln1\\
f(x)=\ln 25 +\ln1\\
f(x)=\ln 25 +0\\
f(x)=\ln 25$

Hence the expressions which are equivalent to the given expression are,

$\ln25+\ln1$
$\ln25$

Learn more about the equivalent expression here;

brainly.com/question/10628562

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3 years ago

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What is the percent 200% of 54

sweet-ann [11.9K]

So if 54 is 100% then 200% is double therefore 200% of 54 is 108

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The LCM of 4, 9, and 10 is _______. 36 180 40 90

Anna [14]

Answer:

180

Step-by-step explanation:

Multiples of 4:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188

Multiples of 9:

9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198

Multiples of 10:

10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200

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Alaina surveyed students on her bus about their homework.The data she gathered is shown in this two-way table.

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YOUR ANSWER MIGHT BE 2

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