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asambeis [7]
3 years ago
9

Given that we have already tossed a balanced coin ten times and obtained zero heads, what is the probability that we must toss i

t at least two more times to obtain the first head
Mathematics
1 answer:
defon3 years ago
7 0
A balanced coin will have 50:50 chance of showing either head or tail. In this question, you are asked the probability to find the first head after two tosses. That means the toss result should be:
1. tail   = 1/2 probability
2. head = 1/2 probability

Previously you are tossing the coin 10 times and obtain zero head. But this previous 10 tosses result should not influence your probability in the 11th and 12th toss. The chance will always be 50:50 no matter how much the tosses count. So the probability should be: 1/2 * 1/2= 1/4
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Use the formula S = 40,000 (1.06)t to calculate your salary after 4 years. Round your answer to the nearest dollar.
Pavlova-9 [17]

Answer:

d. $50,499

Step-by-step explanation:

Given:

S = 40,000 (1.06)^t

Where,

t=4 years

S=40,000(1.06)^4

=40,000(1.26247696)

=50,499.0784

To the nearest dollar

S=$50,499

The answer is d. $50,499

5 0
3 years ago
The figures shown are similar. What is the scale factor? Two similar pentagons, one pentagon with base 9 and one pentagon with b
Oksi-84 [34.3K]
9:12=\frac{9}{12}=\frac{9:3}{12:3}=\boxed{\frac{3}{4}}\leftarrow\boxed{d.}
7 0
3 years ago
Read 2 more answers
How do you get the answer for 3n+5 I’m trying to get my grade up from a C so how do you find this answer?
lana [24]

I think it’s six because 3n=6-5 3 n=6-5 then subtract 5 5 from 6 6

7 0
3 years ago
If the first 4 terms of an infinite geometric sequence are 150, 120, 96, and 76.8, then the sum of all the terms in the sequence
hammer [34]

The sum of the sequence is 750

<h3>How to determine the sum of the series?</h3>

The series is given as:

150, 120, 96, and 76.8,

Start by calculating the common ratio using:

r = T2/T1

This gives

r = 120/150

r = 0.8

The sum of the series is then calculated as:

S = \frac{a}{1 - r}

This gives

S = \frac{150}{1 - 0.8}

Evaluate

S = 750

Hence, the sum of the sequence is 750

Read more about sequence at:

brainly.com/question/6561461

#SPJ1

4 0
2 years ago
Please help with this!!
lozanna [386]

Answer:

#1.---60%   #2.---$12.60 per hour

Step-by-step explanation:

#1. Since It was originally $50 you have 50% already, so what I did was I multiplied 50 by 2. this got me 100 which is a simpler way to calculate by. 50 to 80 dollars is a $30 change, so multiply that by 2 and you get 60. 60 will be your percent of change. You can double check this by multiplying 50 by .60, the answer will be 30 and 50+30=80

#2 Since Tyler starts off with $12 per hour with a 5% increase you will need to multiply 12*.05 this will get you the answer of 0.6 you then need to add $12, since that was his original payment. 12+0.6=12.60, so his final payment would by $12.60 per hour

5 0
2 years ago
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