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lesya692 [45]
3 years ago
11

According to the general equation for conditional probability, if p(a^

Mathematics
2 answers:
Kitty [74]3 years ago
7 0
This is the concept of probability and statistics;
The question requires us to get the conditional probability is given by:
P(A|B)=(P(A∩B))/P(B)
but;
P(A∩B)=3/10
P(B)=4/5
thus;
P(A|B)=(3/10)/(4/5)=3/8
The answer is 3/8
Zepler [3.9K]3 years ago
3 0

Answer:

\frac{3}{8}

Step-by-step explanation:

Since, the general equation of conditional probability is,

P(\frac{A}{B})=\frac{P(A\cap B)}{P(B)}

We have,

P(A\cap B)=\frac{3}{10}

P(B)=\frac{4}{5}

By substituting the values,

P(\frac{A}{B})=\frac{\frac{3}{10}}{\frac{4}{5}}

=\frac{5\times 3}{10\times 4}

=\frac{15}{40}

=\frac{3}{8}

Hence, the value of P(A∩B) is 3/8.

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Talja [164]

Step-by-step explanation:

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3 years ago
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Complete parts a through c for the given function.
victus00 [196]

Answer:

a. The critcal points are at

x=0,-5,3

b. Then, x = -5   is a maximum and x=3 is a minimum

c. The absolute minimum is at   x = 3  and the absolute maximum is at  x = -5.

Step-by-step explanation:

(a)

Remember that you need to find the points where

f'(x)=0

Therefore you have to solve this equation.

20x^4  + 40x^3 - 300x^2 = 0

From that equation you can factor out    20x^2  and you would get

20x^2 (  x^2  +2x - 15)  = 0

And from that you would have   20x^2 = 0  , so x = 0.

And you would also have  x^2 +2x-15 = 0.

You can factor that equation as    x^2 +2x -15 = (x+5)(x-3) = 0

Therefore   x=-5 ,   x=3.

So the critcal points are at

x=0,-5,3

b.  

Remember that a function has a maximum at a critical point if the second derivative at that point is negative. Since

f''(x) = 80x^3 + 120x^2 -600x\\f''(-5) = 80(-5)^3 + 120(-5)^2 -600(-5) = -4000 < 0\\\\f''(3) = 80(3)^3 + 120(3)^2 -600(3) = 1440 > 0 \\

Then, x = -5   is a maximum and x=3 is a minimum

c.

The absolute minimum is at   x = 3  and the absolute maximum is at  x = -5.

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How do you get the domain and range of a bar graph
Murljashka [212]
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1. Find the diameter of a ball that rolls 100 feet after 60 revolutions.
Andre45 [30]

Answer:

Correct option: C (it is missing the point)

0.53

Step-by-step explanation:

When a ball rolls one revolution, the distance travelled is the length of its circunference, that is:

Circunference = pi * diameter

So, to solve this question, we can use a rule of three:

1 revolution -> pi * d

60 revolutions -> 100 feet

100 = 60 * pi * d

d = 100 / (60 * pi) =  0.53 feet

Correct option: C (it is missing the point).

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A line passes through the point (-8,-5) and has a slope of 3/4. Write an equation in point slope form for this line.
timurjin [86]

Answer:

y+5 = 3/4(x+8)

Step-by-step explanation:

The point slope form of the equation of a line is

y - y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line

The slope is 3/4 and the point is (-8,-5)

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y+5 = 3/4(x+8)

3 0
3 years ago
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