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mote1985 [20]
4 years ago
10

What is 1/27 in a decimal

Mathematics
1 answer:
ryzh [129]4 years ago
8 0
0.037037 is what 1/27 is in decimal form
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Log10(x^2+1)=1 <br> .......
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2^{x} = 4 ----\ \textgreater \  x =  log_{2}4&#10;&#10; x^{2}  = 4 ----\ \textgreater \  x =  \sqrt{4}
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Which system is equivalent to 3x^2 - 4y^2 = 25
Archy [21]

For this case we have the following system of equations:

3x ^ 2 - 4y ^ 2 = 25\\-6x ^ 2 - 2y ^ 2 = 11

We can write a system of equivalent equations.

For this, it is enough to multiply one of the two equations by a scalar.

Multiplying the equation 1 by 2, we have:

6x ^ 2 - 8y ^ 2 = 50

Therefore, the new system of equations is:

6x ^ 2 - 8y ^ 2 = 50\\-6x ^ 2 - 2y ^ 2 = 11

Answer:

A system that is equivalent is:

D) 6x ^ 2 - 8y ^ 2 = 50\\-6x ^ 2 - 2y ^ 2 = 11

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3 years ago
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Wendy bought widget stock at 14.125 and sold it for 18 what was the percent of increase
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2 years ago
A survey of patients at a hospital classified them by sex and blood type, as shown in the table. What percent of all patients ar
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<span>C.) 53.1% is the answer

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In a study, 43% of adults questioned reported that their health was excellent. A researcher wishes to study the health of people
marishachu [46]

Answer:

13.44% probabilith that at most 3 are in excellent health.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they are in excellent health, or they are not. The probability of an adult being in excellent health is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

43% of adults questioned reported that their health was excellent.

This means that p = 0.43

13 adults randomly selected

This means that n = 13

Find the probability that when 13 adults are randomly selected, at most 3 are in excellent health.

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

In which:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{13,0}.(0.42)^{0}.(0.58)^{13} = 0.0008

P(X = 1) = C_{13,1}.(0.42)^{1}.(0.58)^{12} = 0.0079

P(X = 2) = C_{13,2}.(0.42)^{2}.(0.58)^{11} = 0.0344

P(X = 3) = C_{13,3}.(0.42)^{3}.(0.58)^{10} = 0.0913

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0008 + 0.0079 + 0.0344 + 0.0913 = 0.1344

13.44% probabilith that at most 3 are in excellent health.

6 0
3 years ago
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