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3 years ago

Suppose A and B are dependent events. If P(A|B)=0.25 and P(B)=0.6 , what is P(AuB) ?

Mathematics

2 answers:

Thepotemich [5.8K]3 years ago

8 0

P(AuB)= P(A/B)*P(B)=0.25*0.6 = 015

padilas [110]3 years ago

6 0

Hopefully this will help you.

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3 years ago

One of the tallest living men has a height of 236 cm. One of the tallest living women is 224 cm tall. Heights of men have a mean

Roman55 [17]

Answer:

A. The woman is relatively taller because the z score for her height is greater than the z score for the man's height.

Step-by-step explanation:

Whoever has the highest z-score, is taller relative to the population of the same gender.

The z-score of a value X in a set with mean $\mu$ and standard deviation $/sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

Solution:

Heights of men have a mean of 170 cm and a standard deviation of 6 cm. One of the tallest living men has a height of 236 cm. So the z-score of his height is:

$Z = \frac{X - \mu}{\sigma} = \frac{236-170}{6} = 11$

Heights of women have a mean of 161 cm and a standard deviation of 5 cm.

One of the tallest living women is 224 cm tall. The z-score of the women's height is

$Z = \frac{X - \mu}{\sigma} = \frac{224-161}{5} = 12.6$

The women has a higher z-score, so she is relatively taller.

The correct answer is A

3 0

4 years ago

Using the following equation, find the center and radius of the circle. You must show all work and calculations to receive credi

adoni [48]

Answer:

$r = 4$

The center is:

(2, -4)

Step-by-step explanation:

We have the following equation

$x^2 - 4x + y^2 + 8y = -4$

The general equation of a circle has the following form

$(x-h)^2 + (y-k)^2 = r^2$

Where r is the radius and the point (h, k) is the center of the circle

To transform the given equation in the general equation of a circumference we must use the method of square completions

Step 1

$(x^2 - 4x) + (y^2 + 8y) = -4$

Step 2

Add and subtract $(\frac{b}{2})^2$ For an equation of the form

$ax^2 +bx +c$

$(x^2 - 4x +4)-4 + (y^2 + 8y +16) -16= -4$

Step 3 Factor the expressions within the parentheses

$(x-2)^2-4 + (y+4)^2 -16= -4$

Step 4 Simplify

$(x-2)^2 + (y+4)^2= -4+16+4$

$(x-2)^2 + (y+4)^2= 4^2$

Finally

$r = 4$

The center is:

(2, -4)

7 0

3 years ago