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Colt1911 [192]
3 years ago
7

If you toss an unfair coin such that p(heads)=0.45, what is the probability that you get your first heads on the 6th toss?

Mathematics
1 answer:
nalin [4]3 years ago
6 0
Answer: The percent that you get your first heads on the 6th toss is about 2.26%.

To reach this event, you would have to flip a tails 5 times in a row. Then, you would have to flip a heads.

If we multiplied all the percent together, it would look like:

0.55 x 0.55 x 0.55 x 0.55 x 0.55 x 0.45

Multiplying those gives a value of 2.26%.
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Using the numbers -4, 10, 8, 2, -3, -5, write down two expressions that equal 6. You can use any relevant operation. You have to
Valentin [98]

Answer:

\sf \Bigg[ \frac{ ( - 4 \times ( - 3)) }{2} \Bigg] \: and  \: \Bigg[ \frac{ - ( - 5 \times 8)}{10} + 2 \Bigg]

Step-by-step explanation:

Given:

The \: numbers \rightarrow -4, 10, 8, 2, -3, -5

To find:

Two expressions that equal 6 using the given numbers

Solution:

Expression first,

Using numbers -4, 2, -3,

aligning the above numbers as,

\frac{ ( - 4 \times ( - 3))  }{2}

will out put 6.

<em>Verification,</em>

\frac{ ( - 4 \times ( - 3))  }{2} =  \frac{12}{2}   = \cancel\frac{12}{2} = 6

Expression second,

Using numbers 10,8,2,-5

aligning the above numbers as,

\frac{ - ( - 5 \times 8)}{10} + 2

will result 6.

<em>Verification</em>

\frac{ - ( - 5 \times 8)}{10} + 2 =  \frac{ 40}{10}  + 2   \\ \\ \frac{ - ( - 5 \times 8)}{10} + 2= 4 + 2 \\  \\\frac{ - ( - 5 \times 8)}{10} + 2  = 6

<em><u>Thanks for joining brainly community!</u></em>

5 0
2 years ago
An urn contains 2 red marbles and 3 blue marbles. 1. One person takes two marbles at random from the urn and does not replace th
Ghella [55]

Answer:

A) The best way to picture this problem is with a probability tree, with two steps.

The first branch, the person can choose red or blue, being 2 out of five (2/5) the chances of picking a red marble and 3 out of 5 of picking a blue one.

The probabilities of the second pick depends on the first pick, because it only can choose of what it is left in the urn.

If the first pick was red marble, the probabilities of picking a red marble are 1 out of 4 (what is left of red marble out of the total marble left int the urn) and 3 out of 4 for the blue marble.

If the first pick was the blue marble, there is 2/4 of chances of picking red and 2/4 of picking blue.

B) So a person can have a red marble and a blue marble in two ways:

1) Picking the red first and the blue last

2) Picking the blue first and the red last

C) P(R&B) = 3/5 = 60%

Step-by-step explanation:

C) P(R&B) = P(RB) + P(BR) = (2/5)*(3/4) + (3/5)*(2/4) = 3/10 + 3/10 = 3/5

3 0
3 years ago
Allyson and Adrian have decided to connect their ankles with a bungie cord; one end is tied to each person's ankle. The cord is
BARSIC [14]

Answer: 5.5 seconds

Step-by-step explanation:

30=5/4 ×(-20) + 10t

30 =-25 +10t

10t=55

t=5.5seconds

The cord will first touch the corner of the building after 5.5secs

3 0
3 years ago
Solve for x. <br><br> 8x/7+9=30
kodGreya [7K]
X=18 (3/8)
(8x/7) +9 = 30
subtract 9 from both sides
8x/7=21
multiply 7 from both sides
8x=147
divide 8 from both sides and you get
x=18 (3/8)
6 0
3 years ago
Analyze the diagram below and complete the instructions that follow.
Alona [7]
A

Durhsvsn its a I try
6 0
2 years ago
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