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nadezda [96]
3 years ago
10

Solve for x: 3/4x+5/8=4x

Mathematics
1 answer:
kompoz [17]3 years ago
6 0
So, you have 3/4x + 5/8 = 4x. We can do this in two ways. Since fractions are harder to deal with, we can turn the fractions into whole numbers.

First we need to find the LCD (Least Common Denominator) between 4 and 8, which is 8. So multiply the 3/4x by 2/2, which gives you an equivalent fraction of 6/8x.

So now we have 6/8x + 5/8 = 4x. Now multiply both sides by 8, to get rid of the denominators of the fractions. That gives us 6x + 5 = 32x. Now use the subtraction property of equality to subtract 6x from both sides giving us 5 = 26x. 

Now you can use the division property of equality to divide 26 on both sides, which gives us x = 5/26.

Hope this helps. :D Feel free to ask any other questions, and if you have any questions about my explanation, don't hesitate to ask.
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The sum of two numbers is 58. The larger number is 6 more than the smaller number. What are the numbers?
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Answer:

Numbers are 32, and 26.

Step-by-step explanation:

58 / 2 = 29

29 + 3 = 32 (large number)

29 - 3 = 26 (small number)

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As part of a study done for a large corporation, psychologists asked randomly selected employees to solve a collection of simple
zhenek [66]

Answer:

P(A')=1-0.411=0.589

And that represent the probability that they take longer than 7 minutes to solve the puzzles.

Step-by-step explanation:

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

On this case we have that n= 56 represent the employees selected to solve the puzzles.

We know that 23 out of the 56 selected solved the puzzles in less than 7 minutes.

Let's define the events A and A' like this:

A: Employees solved puzzles in less than 7 minutes

By the complement rule then:

A' : Employees solved puzzles in more than 7 minutes

Based on this we are interested to find the probability for A'

We can begin finding P(A), from the definition of probability we know:

P(A)=\frac{Possible outcomes}{Total outcomes}

For this case if we replace we got:

P(A) =\frac{23}{56}=0.411

And using the complemnt rule we got:

0.411 +P(A')=1

And solving for P(A') we got:

P(A')=1-0.411=0.589

And that represent the probability that they take longer than 7 minutes to solve the puzzles.

4 0
2 years ago
Find the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one
ziro4ka [17]

The probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one trial is 9% will be <u>0.000343311 %</u>

<h3>What is the probability?</h3>

Probability is synonymous with possibility. It is concerned with the occurrence of a random event.

Probability can only have a value between 0 and 1. Its simple notion is that something is very likely to occur. It is the proportion of favorable events to the total number of events.

No of failure,n = 7

No of trials,x≥6

A binomial probability is represented as;

\rm P(x) = nC_x p^z(1-p)^{n-r}

Substitute the given data;

P(x \geq 6) = 7C_6 \times 9^6 \times 91-9)^{7-6} +7C_7 (9)^7+(1-9)^{(7-7)}

\rm P(x \geq 6)  = 0.000000343311 \\\\ P(x \geq6)=0.000343311 \%

Hence,the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one trial is 9% will be <u>0.000343311 %</u>

To learn more about probability, refer to the link: brainly.com/question/795909.

#SPJ1

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Lily is watering her grandmothers plants she is using a watering can that holds 58 gallon of water Lilly feels the watering can
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348 gallons! take 58 x 6
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