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4 years ago

PLEASE HELP!!!

Mathematics

1 answer:

bogdanovich [222]4 years ago

7 0

Answer:

for independent A and B, P(A|B) = P(A)

Step-by-step explanation:

The definition of conditional probability is ...

P(A|B) = P(A&B)/P(B)

When A and B are independent, ...

P(A&B) = P(A)·P(B)

so the conditional probability is ...

P(A|B) = (P(A)·P(B))/P(B) = P(A) . . . . . for independent A and B

In words, when A and B are independent, the probability of A given B is the same as the probability of A. That is, the probability of B has no effect on the probability of A.

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Need answer to 4 and 5

algol13

Answer:

Substitute n =1, 2, 3, 4, 5 to get the first five terms.

Step-by-step explanation:

(4). $g_n = 2 . 3^{n - 1}$

To find the first term, substitute n = 1.

Therefore, $g_1 = 2 . 3^{1 - 1} = 2 . 3^{0} = 2 . 1$ = 2

$g_2 = 2 . 3^{2 - 1} = 2 . 3$ = 6

$g_3 = 2 . 3^{3 - 1} = 2 . 3^{2} = 2 . 9$ = 18

$g_4 = 2 . 3^{4 - 1} = 2 . 3^{3} = 2 . 27$ = 54

$g_5 = 2 . 3^{5 - 1} = 2 . 3^{4} = 2 . 81$ = 168

Therefore the first five terms of the sequence are: 2, 6, 18, 54, 168.

(5). $t_n = \frac{2}{3}t_{n - 1}$

$t_2 = \frac{2}{3} t_{2 - 1} = \frac{2}{3}t_1 = \frac{2}{3}6$ = 4

$t_3 = \frac{2}{3} t_2 = \frac{2}{3}. 4 = \frac{8}{3}$

$t_4 = \frac{2}{3}t_3 = \frac{2}{3}\frac{8}{3} = \frac{16}{9}$

$t_5 = \frac{2}{3}t_4 = \frac{2}{3}\frac{16}{9} = \frac{32}{27}$

Therefore the first five terms in the sequence are: 6, 4, 8/3, 16/9, 32/27.

8 0

3 years ago

Can someone solve this question?

Rom4ik [11]

The triangles are isosceles. The following notation are for the angles. For example ABD is refer to the angle located in the B vertex, formed by the segments AB and BD.

$ABD = ADB\\40 + 2ADB = 180\\ADB = 70 = ABD\\$

$70 + DBC + 30 = 180\\DBC = 180 - 100 = 80$

Then

$BCD = BCD\\2BCD + 80 = 180\\BCD = 50$

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3 years ago

What is the solution to the system of equations?

melamori03 [73]

Answer:

it is b

Step-by-step explanation:

dam gurll, how many questions u gon' ask

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3 years ago

Whats 41.803 rounded to the nearest whole number

kenny6666 [7]

41.803 is 42 rounded to the nearest whole number because when you go past .5 you round to the nearest highest number, but when your below .5 then you round to the nearest lowest number.

8 0

3 years ago

Read 2 more answers

Please help me it’s really important to me

shepuryov [24]

1. b
2. e
3. a
4. c
5. d
6. f
7. g
8. h
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3 years ago