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4 years ago

If P(A)= 0.3 and P(B|A)=0.9 what is P(A B)?

1 answer:

5 0

You seem to be missing a symbol, which I assume is intersection $\cap$ .

From the definition of conditional probability,

$\mathbb P(B|A)=\dfrac{\mathbb P(B\cap A)}{\mathbb P(A)}\implies0.9=\dfrac{\mathbb P(B\cap A)}{0.3}\implies\mathbb P(B\cap A)=0.27$

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A recipe calls for 14cup of brown sugar for every 23cup of white sugar. How many cups of brown sugar are required for every cup

photoshop1234 [79]

Note: Consider all the numeric values are in the fraction form. Like $14\to \dfrac{1}{4}$ , $23\to \dfrac{2}{3}$ etc.

Given:

A recipe calls for $\dfrac{1}{4}$ cup of brown sugar for every $\dfrac{2}{3}$ cup of white sugar.

To find:

The number of cups of brown sugar that are required for every cup of white sugar.

Solution:

We know that,

Required brown sugar for $\dfrac{2}{3}$ cup of white sugar = $\dfrac{1}{4}$ cup

Using this, we get

Required brown sugar for 1 cup of white sugar = $\dfrac{\dfrac{1}{4}}{\dfrac{2}{3}}$ cup

$=\dfrac{1}{4}\times \dfrac{3}{2}$ cup

$=\dfrac{3}{8}$ cup

So, $\dfrac{3}{8}$ cup of brown sugar is required for every cup of white sugar.

Therefore, the correct option is B.

6 0

3 years ago

What is the Greatest Common Factor of the two monomials?<br> 15a²b, 35ab2

m_a_m_a [10]

Answer:

5ab

Step-by-step explanation:

To find the greatest common factor (GCF), you will need to find the largest value that both of these monomials can be divided by. There are three different parts to these monomials: the number value, variable a, and variable b.

Find the largest number of each element that can be divided by both.

Numbers: the GCF of 15 and 35 is 5 (15/5 = 3, 35/5 = 7, 3 and 7 are prime numbers and therefore, cannot be divided further)

Variable a: the GCF of a² and a is a

Variable b: the GCF of b and b² is b

Therefore, the GCF is 5ab.

8 0

3 years ago

In a cross-country run organized by a school, the students who completed the run

coldgirl [10]

280 students have a total of 560 points

There 60 more boys(x+60) complete than girls(x)

2*(x+60)+2*x= 560

number of girl =x =110

girl point =110*2= 220

6 0

3 years ago

Please help out :)) and give a explanation

wolverine [178]

9514 1404 393

Answer:

y = 3x

Step-by-step explanation:

A proportional relation has the equation ...

y = kx

To write the desired equation, you need to know the value of k. That can be found from the given information:

for x = 2, y = 6

6 = k·2

3 = k . . . . divide by 2

Now, we know the equation can be written ...

y = 3x

5 0

3 years ago

Find a vector 3 units long in the opposite direction from v = 〈3, 1,-4).

lutik1710 [3]

Unit vector along the direction v = <3,1,-4> is :

$\hat{v} = \dfrac{3i + j -4k}{\sqrt{3^2 + 1^2 + 4^2}}\\\\\hat{v} = \dfrac{3i + j -4k}{5.1}$

So, unit vector opposing the $\hat{v}$ is :

$\hat{v'} = -\hat{v}\\\\\hat{v'} = -( \dfrac{3i + j -4k}{5.1})\\\\\hat{v'} = \dfrac{-3i - j +4k}{5.1}$

so, vector of magnitude 3 units in opposite direction from v is :

$\vec{V} = 3\hat{v'}\\\\\vec{V} = \dfrac{3}{5.1}( -3i -j+4k)$

Hence, this is the required solution.

5 0

3 years ago