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Vera_Pavlovna [14]
3 years ago
11

P(A) = 0.7 P(A and B) = 0.21 P(B\A) =

Mathematics
1 answer:
umka2103 [35]3 years ago
4 0

Answer:

1) Conditional probability P(B/A)=0.3

2) P(A and B)=0.28

Step-by-step explanation:

1) Given that P(A)=0.7 and P(A and B)=0.21

To find the conditional probability :

Conditional probability P(B/A)=\frac{P(A and B}{P(A)} when P(A)>0

Substitute the values  P(A)=0.7 and P(A and B)=0.21 in above formula we get

P(B/A)=\frac{0.21}{0.7}[tex]=0.3

Therefore P(B/A)=0.3

Therefore the Conditional probability P(B/A)=0.3

2) Given that P(A)=0.4 and P(B)=0.7 and  also given that Events A and B are independents

To find P(A and B) :

P(A and B)=P(A)\times P(B)

Substitute the values  P(A)=0.4 and P(B)=0.7 in above formula we get

P(A and B)=(0.4)\times (0.7)

=0.28[/tex]

Therefore P(A and B)=0.28

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The sum of two complementary angles is 90° Angle A is represented by 3x - 10, and Angle B is represented by x. Solve for x Hint:
Nataly [62]

Angle A = 3x - 10

Angle B = x

Their angle sum = 90° ( complementary angles form 90° )

This can be written in an equation as =

= 3x - 10 + x = 90

= 3x + × + ( -10 ) = 90

= 4x + (-10) = 90

= 4x = 90 + 10 ( transposing-10 from LHS to RHS changes-10 to +10 )

= 4x = 100

= x = 100 ÷ 4 ( transposing ×4 from LHS to RHS changes ×4 to ÷4 )

= x = 25

Angle A = 3x - 10

= 3 × 25 - 10

= 75 - 10

= Angle A = 65°

Angle B = x = 25°

Their sum = 65 + 25 = 90°

Therefore , the complementary angles , Angle A = 65° and Angle B = 25° .

6 0
3 years ago
Simplify this expression. 12x2(3x4 − 2x)
musickatia [10]

Answer:

36*x^6-24*x^3

Step-by-step explanation:

We can simplify the expressio using the product rule. The exponents will add up when multiplied with each other:

=12*x^2*(3*x^4-2*x)

=12*3*x^(2+4)-12*2*x^(2+1)

=36*x^(6)-24*x^(3)

The answer is B

36*x^6-24*x^3

6 0
3 years ago
Which equation shows the relationship between the x and y values? Its easy I learned this in 1st grade, but I'm to lazy to even
Nata [24]

Y= 3x-4 Is the rule for table to check .


Take first one


7,17


17= 3(7)-4


17=21-4


17=17 it checks

8 0
3 years ago
Can you please help and explain I will give brainliest or thanks
Evgesh-ka [11]
9. answer is 12
10. answer is 3.5
11. answer is 23
3 0
3 years ago
Read 2 more answers
Urgent help, please!.....
pishuonlain [190]

To solve this problem, we want to get all of the possible options into the same form, so that it is easier to compare them. Personally, I prefer comparing in decimals, so that is how I am going to solve this problem.


13/4 - To turn this improper fraction into its decimal equivalent, it is easier to first turn it into a mixed number by dividing the numerator by the denominator.

13/4 = 3 1/4

Because we know that 1/4 = 0.25, we now know that 3 1/4 = 3.25

Therefore, 13/4 = 3.25


3 1/2 - This is similar to the end of the process above. We know that 1/2 = 0.5, so we know that 3 1/2 = 3.5

3 1/2 = 3.5


3.15 is already in its decimal form, so we can leave that be for now.


√9 - To simplify this, we must figure out what number multiplied by itself equals 9. If we start with 2 (2*2 = 4), so that is too small. Next maybe we try 4 (4 * 4 = 16), so that is too large. Now we know we need a number in between 2 and 4, so maybe we try 3. 3 * 3 = 9, so we can conclude that √9 = 3.

√9 =3


If we take all of our decimal equivalents, we have 3.25, 3.5, 3.15, and 3.


Because all of these values have the same whole number value of 3, we need to compare the decimals to find out what order they belong in.


Our final order is (from smallest to largest): 3, 3.15, 3.25, 3.5


But, we need to substitute in the equivalent values we were given for these decimals originally to finish the problem.


This makes your final answer: √9, 3.15, 13/4, 3 1/2


Hope this helps!

4 0
3 years ago
Read 2 more answers
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