How should people remember thomas jefferson as

How are conditional probability and independent events related?

artcher [175]

Answer:

1. P(A|B) - option 2

2. does not affect - option 2

3. P(A) - option 1

Step-by-step explanation:

By the definition, the notation P(A|B) reads the probability of event A given that event B has occured. So, for the first gap correct choice is 2 - P(A|B).

If events A and B are independent, then the probability of event B occuring does not affect the probability of event A occuring. So, for the second gap correct choice is 2 - does not affect.

Events A and B are independent, then

$P(A\cap B)=P(A)\cdot P(B)$

Use formula for the conditional probability:

$P(A|B)=\dfrac{P(A\cap B)}{P(B)}$

Since events A and B are independent, we get

$P(A|B)=\dfrac{P(A)\cdot P(B)}{P(B)}=P(A)$

So, for the third gap correct answer is 1 - P(A)

8 0

4 years ago

If someone could help me I would mean a lot man.

Lady bird [3.3K]

Answer:

a k= and y=15

B . k=1 and y=5

4 0

2 years ago

7. A kite in the shape of a square with a diagonal 32 cm and an isosceles triangle of base 8 cm and sides 6 cm each is to be mad

grin007 [14]

Answer:

Step-by-step explanation:

diagonal = 32 cm

Area of square = $\dfrac{d^{2}}{2}$

$=\dfrac{32*32}{2}\\\\=512 \ cm^{2}$

Diagonal separate the square into two equal triangles.

Area of upper triangle that is shaded black = area of lower triangle = 512/2

= 256 cm²

Isosceles triangle:

a = 6 cm ; b = 6 cm c = 8cm

$s = \dfrac{a+b+c}{2}\\\\=\dfrac{6+6+8}{2}\\\\=\dfrac{20}{2}\\\\=10\\\\s-a = 10 - 6 = 4 \ cm\\\\s-b = 10-6 = 4 \ cm\\\\c - c = 10 - 8 = 2 \ cm\\\\Area = \sqrt{s*(s-a)(s-b)(s-c)}\\\\=\sqrt{10*4*4*2}\\\\=\sqrt{2 * 2 * 4 * 4 * 5}\\\\=4*2\sqrt{5}\\\\=8\sqrt{5}\\\\=8*2.24\\\\=17.92 \ cm^{2}$

Area of black shade paper = 256 + 17.92 = 273.92 cm²

Area of white shade paper = 256 cm²

Area of the isosceles triangle = s(s-a)(s-b)(s-c)

7 0

3 years ago

The slope of line L is -1/3. what is equation of a line that is perpendicular to line L

Licemer1 [7]

Answer:

slope=3

Step-by-step explanation:

6 0

3 years ago

table Mary used Delicious (d) and Golden Delicious (g) apples to make homemade applesauce. Delicious apples are $0.75 each and G

Mariulka [41]

1. To solve this problem, you must make a System of equations.

2. The equations are:

d+g=22 (i)
0.75d+1.25g=21 (ii)

3. If you clear "d" from the equation (i), you have:

d+g=22
d=22-g

4. Now, you must substitute d=22-g into the equation (ii):

0.75d+1.25g=21
0.75(22-g)+1.25g=21

5. When you clear "g", you obtain its value:

16.5-0.75+1.25g=21
16.5+0.5g=21
0.5g=21-16.5
g=4.5/0.5
g=9 Golden Delicious apples

6. If you also want to know the value of "d", you can substitute g=9 into the equation (i) and clear "d":

d+g=22
d+9=22
d=22-9
d=13 Delicious apples

How many Golden Delicious apples did Mary buy?

The answer is: Mary bought 9 Golden Delicious apples.

5 0

3 years ago

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