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3 years ago

Given P(E)= 0.24 and P(FnE)= 0.17, find P(F| E). Round the answer to the nearest hundredth. A. 029 B. 0.40 C. 0.71 D. 1.41

Mathematics

1 answer:

romanna [79]3 years ago

7 0

Given P(E) = 0.24 and P(F ∩ E) = 0.17

It says to find conditional probability of F given E has occurred.

We know the formula of conditional probability is given by :-

P(F ║ E) = $\frac{P(E\;and\; F)}{P(E)}$

P(F ║ E) = $\frac{0.17}{0.24}$ = 0.708333

P(F ║ E) = 0.71

Hence, option C i.e. 0.71 is the final answer.

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2 years ago

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3 years ago

Find 5x − 3y − z if x = −2, y = 2, and z = −3<br><br> −19<br> 19<br> 13<br> −13

Blababa [14]

5x - 3y - z
By hypothesis, x = -2, y = 2 and z = -3.

So you all need to do is replace each letter by its value and do the calculus:

5x - 3y - z = 5*(-2) - 3(2) - (-3)
= -10 - 6 + 3=
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= -13

So when x = -2, y = 2 and z = -3
5x - 3y - z = -13 (answer d)

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3 years ago

Subtract. Write the difference in simplest form.<br><br>(5n - 3) - (-2n + 7)

kolezko [41]

Answer:

Simplifying

(5n + -3) + -1(-2n + 7) = 0

Reorder the terms:

(-3 + 5n) + -1(-2n + 7) = 0

Remove parenthesis around (-3 + 5n)

-3 + 5n + -1(-2n + 7) = 0

Reorder the terms:

-3 + 5n + -1(7 + -2n) = 0

-3 + 5n + (7 * -1 + -2n * -1) = 0

-3 + 5n + (-7 + 2n) = 0

Reorder the terms:

-3 + -7 + 5n + 2n = 0

Combine like terms: -3 + -7 = -10

-10 + 5n + 2n = 0

Combine like terms: 5n + 2n = 7n

-10 + 7n = 0

Solving

-10 + 7n = 0

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '10' to each side of the equation.

-10 + 10 + 7n = 0 + 10

Combine like terms: -10 + 10 = 0

0 + 7n = 0 + 10

7n = 0 + 10

Combine like terms: 0 + 10 = 10

7n = 10

Divide each side by '7'.

n = 1.428571429

Simplifying

n = 1.428571429

3 0

3 years ago

Factories fully. X to the power of three - x

spayn [35]

The expression x³ - x when factored out is x(x -1)(x + 1)

<h3>How to determine the factored expression?</h3>

From the question, we have the following expression that can be used in our computation:

X to the power of three - x

Express the expression properly

So, we have the following representation

x³ - x

The terms of the above expression are:

x³ and x

And the factor of x³ and x

Factor = x

So, we divide x³ and x by x

The results of these divisions are

x³/x = x²

x/x = 1

So, we have the following results

(x³ - x) = x(x² -1)

Express x² -1 as a difference of two squares

So, we have

(x³ - x) = x(x -1)(x + 1)

Hence, the factored expression is x(x -1)(x + 1)