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Katen [24]
3 years ago
7

For what value of x does 64^3x =512^2x+12

Mathematics
1 answer:
Lady_Fox [76]3 years ago
3 0

Answer:

step by step explanation:64^3x=512^2x+12

64^3x-512^2x=12

2^18x-2^18x=12

0=12

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Find the probability for the experiment of tossing a coin three times. Use the sample space S = {HHH, HHT, HTH, HTT, THH, THT, T
myrzilka [38]

Answer:

1) 0.375

2) 0.375

3) 0.5

4) 0.5

5) 0.875

6) 0.5                          

Step-by-step explanation:

We are given the following in the question:

Sample space, S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}.

\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}

1. The probability of getting exactly one tail

P(Exactly one tail)

Favorable outcomes ={HHT, HTH, THH}

\text{P(Exactly one tail)} = \dfrac{3}{8} = 0.375

2. The probability of getting exactly two tails

P(Exactly two tail)

Favorable outcomes ={ HTT,THT, TTH}

\text{P(Exactly two tail)} = \dfrac{3}{8} = 0.375

3. The probability of getting a head on the first toss

P(head on the first toss)

Favorable outcomes ={HHH, HHT, HTH, HTT}

\text{P(head on the first toss)} = \dfrac{4}{8} = \dfrac{1}{2} = 0.5

4. The probability of getting a tail on the last toss

P(tail on the last toss)

Favorable outcomes ={HHT,HTT,THT,TTT}

\text{P(tail on the last toss)} = \dfrac{4}{8} = \dfrac{1}{2} = 0.5

5. The probability of getting at least one head

P(at least one head)

Favorable outcomes ={HHH, HHT, HTH, HTT, THH, THT, TTH}

\text{P(at least one head)} = \dfrac{7}{8} = 0.875

6. The probability of getting at least two heads

P(Exactly one tail)

Favorable outcomes ={HHH, HHT, HTH,THH}

\text{P(Exactly one tail)} = \dfrac{4}{8} = \dfrac{1}{2} = 0.5

3 0
3 years ago
4*f^2-G+f^2+2g<br> Simplify the answer
Goshia [24]

4f^2-g+f^2+2g

Collect f terms,

5f^2-g+2g

Collect g terms,

5f^2+g

Et viola

Hope this helps :)

8 0
3 years ago
Solve the following riddle:
marusya05 [52]

403090

haven't done number riddles in a while, sorry if my answer is incorrect.

8 0
3 years ago
Read 2 more answers
Sarah deposits $600 in a savings account that pays 2.5% per year. What is the minimum number of years it would take for the amou
shutvik [7]
Here is the compound interest formula solved for years:
<span>Years = {log(total) -log(Principal)} ÷ log(1 + rate)
</span>Years = {log(800) - log(600)} <span>÷ log(1.025)
</span><span>Years = {2.903089987 -2.7781512504} / 0.010723865392
</span>Years = { <span> <span> <span> 0.1249387366 } / </span></span></span><span><span><span>0.010723865392
</span> </span> </span> Years = <span> <span> <span> 11.6505319708 </span> </span> </span>
That's how many years it takes for the $600 to become exactly $800.00
The question specifically asks how long for the money to be MORE than $800.00?

So, if we enter 800.01 into the equation, then the answer is
Years = {log(800.01) - log(600)} <span>÷ log(1.025)
</span><span>Years = {2.9030954156 -2.7781512504} / 0.010723865392
</span>Years = <span> <span> <span> 0.1249441652 </span> </span> </span> / 0.010723865392
<span> <span> <span> Years = 11.6510381875 </span> </span> </span>
<span><span> </span></span>












6 0
4 years ago
Need help with all of this
Marizza181 [45]
The answers to the questions

4 0
4 years ago
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