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iren [92.7K]
3 years ago
14

If logx = – 4, what is x?​

Mathematics
2 answers:
iris [78.8K]3 years ago
5 0

Answer:

solve the equation by rewriting in exponential form using the definition of a logarithm and simplifying.

Exact Form:

x=  1/10000

Decimal form:

x=0.0001

TEA [102]3 years ago
3 0
Hopes this helps:

Answer: x = 1/10000

1. Use definition of common logarithm:
b^a = x if and only if logb (x) = a.
X = 10^-4


2. Use negative power rule x^-a = 1/x^a.
X = 1/10^4


3. Simplify 10^4 to 10000.
X = 1/10000
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4 years ago
A frog moves in a sequence of unit steps. Each step is N, S, E or W with equal probability. It starts at the origin. Find the pr
Molodets [167]

The answer is 067.

It takes an even number of steps for the object to reach (2,2), so the number of steps the object may have taken is either 4 or 6 .

If the object took 4 steps, then it must have gone two steps $\mathrm{N}$ and two steps E, in some permutation. There are $\frac{4 !}{2 ! 2 !}=6$ ways for these four steps of occuring, and the probability is $\frac{6}{4^{4}}$.

If the object took 6 steps, then it must have gone two steps N and two steps E, and an additional pair of moves that would cancel out, either N / S or W/E. The sequences N, N, N, E, E, S can be permuted in $\frac{6 !}{3 ! 2 ! 1 !}=60$ ways. However, if the first four steps of the sequence are N, N, E, E in some permutation, it would have already reached the point (2,2) in four moves. There are $\frac{4 !}{2 ! 2 !}$ ways to order those four steps and $2 !$ ways to determine the order of the remaining two steps, for a total of 12 sequences that we have to exclude. This gives $60-12=48$ sequences of steps. There are the same number of sequences for the steps N, N, E, E, E, W, so the probability here is $\frac{2 \times 48}{4^{6}}$.

The total probability is $\frac{6}{4^{4}}+\frac{96}{4^{6}}=\frac{3}{64}$, and $m+n=067$.

What is probability?

  • Probability is synonymous with possibility. It is a mathematical discipline that deals with the occurrence of a random event. The value ranges from zero to one.
  • Probability has been introduced in mathematics to predict the likelihood of occurrences occurring. Probability is defined as the degree to which something is likely to occur.
  • This is the fundamental probability theory, which is also utilized in probability distribution, in which you will learn about the possible results of a random experiment.
  • To determine the likelihood of a particular event occurring, we must first determine the total number of alternative possibilities.

To learn more about probability visit:

brainly.com/question/11234923

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2 years ago
If you flip a fair coin 6 times, what is the probability that you will get exactly 4 tails
mars1129 [50]

Answer: So the number of outcomes with exactly 4 tails is 720/2/24 = 15. Finally we can now calculate the probability of getting exactly 4 tails in 6 coin tosses as 15/64 = 0.234 to 3 decimal places.

4 0
3 years ago
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Triss [41]

Answer:

the question????

Step-by-step explanation:

6 0
3 years ago
The answer is there pls just show your work on how to do it
Vikentia [17]

Answer:

Y=2x+0

Step-by-step explanation:

First you have to find the slope of the graph or the rise over run, which in this case is 2

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To double check our work take a random point on x axis. I chose the point 1,2

fill in the formula and you should get 2(1)+0=2 and therefore this Formula is correct

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3 years ago
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