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I am Lyosha [343]
3 years ago
6

In a study of honeymoon vacations for newlyweds in the United States, it was determined that 79% take place outside of the count

ry, 64% last longer than 7 days, and 50% are both outside the country and last longer than 7 days. Find the following probabilities: (a) What is the probability that a honeymoon vacation takes place outside of the country or lasts longer than 7 days? (b) What is the probability that a honeymoon vacation lasts longer than 7 days given that it takes place outside of the country? (c) What is the probability that a honeymoon vacation takes place outside of the country given that it does not last longer than 7 days?
Mathematics
1 answer:
Ivanshal [37]3 years ago
5 0

Answer:

Step-by-step explanation:

Given that in a study of honeymoon vacations for newlyweds in the United States, it was determined that 79% take place outside of the country, 64% last longer than 7 days, and 50% are both outside the country and last longer than 7 days.

Let A - honey moon outside country

B - last longer than 7 days

Then P(A) = 0.79\\P(B) = 0.64\\P(AB) = 0.50

a)  the probability that a honeymoon vacation takes place outside of the country or lasts longer than 7 days

=P(AUB) = P(A)+P(B)-P(AB)\\= 0.79+0.64-0.50\\=0.93

b) the probability that a honeymoon vacation lasts longer than 7 days given that it takes place outside of the country

=P(B/A) = \frac{P(AB)}{P(A)} \\=\frac{0.50}{0.79} =0.6329

c) the probability that a honeymoon vacation takes place outside of the country given that it does not last longer than 7 days

=P(B/A') = \frac{P(A'B)}{P(A')} =\frac{P(B)-P(AB)}{1-P(A)} \\=\frac{0.64-0.5}{1-0.79} \\=0.6667

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What is the missing coefficient of the x-term of the product (-x-5)² after it has been simplified?
Mice21 [21]

The missing coefficient of the x-term after finding the product of (-x - 5)², is: C. 10.

<h3>What is the Coefficient of a Variable?</h3>

The coefficient of a variable is the numerical value that comes before the variable and multiplies it.

Find the product of (-x - 5)²:

(-x - 5)(-x - 5)

-x(-x - 5) -5(-x - 5)

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2 years ago
HELP !! ASAP !!
Sedaia [141]

Answer:

The roots are;

x = (2 + i)/5 or (2-i)/5

where the term i is the complex number representing the square root of -1

Step-by-step explanation:

Here, we want to use the completing the square method to solve the quadratic equation;

f(x) = -5x^2 + 4x -1

Set the function to zero

0 = -5x^2 + 4x - 1

So;

-5x^2 + 4x = 1

divide through by the coefficient of x which is -5

x^2 - 4/5x = -1/5

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= -2/5^2 = 4/25

add it to both sides

x^2 - 4x/5 + 4/25= -1/5 + 4/25

(x- 2/5)^2 = -1/5 + 4/25

(x - 2/5)^2 = -1/25

Take the square root of both sides

x - 2/5 = √( -1/25

x - 2/5 = +i/5 or -i/5

x = 2/5 + i/5 or 2/5 - i/5

7 0
3 years ago
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