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inn [45]
2 years ago
7

If p(a|b) = 0.35, p(b) = 0.75 and p(a) = 0.44 are the events a and b independent ?

Mathematics
1 answer:
MatroZZZ [7]2 years ago
6 0
Hello : 
note 1 : 
 p(A|B) = p(A∩B)/<span> p(B)

note 2 : 
</span> A and B independent: p(A∩B) = p(A)×p(B)
calculate : p(A∩B)
p(A∩B) = p(A|B)×p(B)
p(A∩B) = 0.35 ×0.75 = 0.2625
but :  p(A)×p(B) = 0.44×0.75 = 0.33
 conclusion : 
<span>the events A and B  are not  independent ?</span>
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The ratio of Aziz's money to Osman's money was 2:1 at first. After Aziz spent $10 ratio became 4:3. How much money did each boy
Dvinal [7]

Answer:

Aziz's money was $30

Osman's  money was $15

Step-by-step explanation:

Let

x-----> Aziz's money at first

y-----> Osman's  money

we know that

\frac{x}{y}=\frac{2}{1}

x=2y ------> equation A

\frac{x-10}{y}=\frac{4}{3} -----> equation B

substitute equation A in equation B and solve for y

\frac{2y-10}{y}=\frac{4}{3}\\ \\6y-30=4y\\ \\6y-4y=30\\ \\2y=30\\ \\ y=15

Find the value of x

x=2(15)=30

therefore

At first

Aziz's money was $30

Osman's  money was $15

8 0
2 years ago
Can someone help please!! Provide workout please!!!
mamaluj [8]

Answer:

it is 55%

Step-by-step explanation:

I think it is 55 %

5 0
3 years ago
Read 2 more answers
What's the value of x? 40000mg =10x g
dybincka [34]

The value of x is 4. So 40000 mg= 40 g.

Step-by-step explanation:

      The given is 40000mg = 10x g

Step:1

      Take given equation as equation (1)

                     40000 mg= 10x g.................(1)

      where, X is known value.

Step:2

      Standard value for mg to g for the purpose of conversion of units,

                      1 milligram = 0.001 gram   (or)

                      1 gram = 1000 milligram

Step:3

      From the standard data values,

                    = 40000 mg

      it converted mg to g by dividing 1000

                    = \frac{40000}{1000} g

                    = 40 g.......................(2)

Step:4

       From the Equations (1) and (2),

                 40=10x

                  x=4

Result:

       The value of x is 4. So, 40000mg = 40 g.

7 0
2 years ago
0.006 is 1/10 of what
atroni [7]
0.006 is 1/10 of 0.06 .

Correct me if I am wrong.
4 0
3 years ago
Read 2 more answers
A steel company sells 48 tons of steel each year.
ddd [48]

Answer:

16 tons

Step-by-step explanation:

To solve the first step is to change years to months because the time periods are in different units. There are 12 months in 1 year. This means that the company sells 48 tons over 12 months. 4 months is the equivalent of 1/3 of 12 months. This means that we can find the amount sold in 4 months by dividing 48 by 3. 48/3 is 16. Thus, the steel company sells 16 tons in 4 months.

Another way to find the answer is to find the unit rate. The unit rate is how many tons are sold in 1 month. Find this by dividing 48 by 12 because this represents the sales of 1 month. 48/12=4, this means that in 1 month, 4 tons of steel are sold. Next, multiply 4 times 4 to find the amount of steel sold in 4 months. 4 times 4 also gives you the same answer of 16.

6 0
2 years ago
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