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3 years ago

7x-3=3+7x infinitely many solutions step-by-step

Mathematics

1 answer:

notka56 [123]3 years ago

5 0

Answer:

0=6

Step-by-step explanation:

(You will have to rearrange terms.)

7x-3=3+7x

7x-3=7x+3

(now add three to both sides.)

7x-3=7x+3

7x-3 +3=7x+3 +3

7x=7x+6

(Now subtract 7x from both sides of the equation.)

7x=7x+6

7x-7x=7x+6-7x

0=6

and that's how you get your answer.

I hope this helps you. :)

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2 years ago

What is the value of. X in this equation 1.54x+6.814=8.2

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Answer:

x=0.9

Step-by-step explanation:

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3 years ago

The time taken to deliver a pizza has a uniform probability distribution from 20 minutes to 60 minutes. What is the probability

Whitepunk [10]

Answer:

(1) The probability that the time to deliver a pizza is at least 32 minutes is 0.70.

(2a) The percentage of results more than 45 is 79.67%.

(2b) The percentage of results less than 85 is 91.77%.

(2c) The percentage of results are between 75 and 90 is 15.58%.

(2d) The percentage of results outside the healthy range 20 to 100 is 2.64%.

Step-by-step explanation:

(1)

Let Y = the time taken to deliver a pizza.

The random variable Y follows a Uniform distribution, U (20, 60).

The probability distribution function of a Uniform distribution is:

$f(x)=\left \{ {{\frac{1}{b-a};\ x\in [a, b] } \atop {0};\ otherwise} \right.$

Compute the probability that the time to deliver a pizza is at least 32 minutes as follows:

$P(Y\geq 32)=\int\limits^{60}_{32} {\frac{1}{b-a} } \, dx \\=\frac{1}{60-20} \int\limits^{60}_{32} {1 } \, dx\\=\frac{1}{40}\times[x]^{60}_{32}\\=\frac{1}{40}\times[60-32]\\=0.70$

Thus, the probability that the time to deliver a pizza is at least 32 minutes is 0.70.

(2)

Let X = results of a certain blood test.

It is provided that the random variable X follows a Normal distribution with parameters $\mu = 60$ and $s = 18$ .

The probabilities of a Normal distribution are computed by converting the raw scores to z-scores.

The z-scores follows a Standard normal distribution, N (0, 1).

(a)

Compute the probability that the results are more than 45 as follows:

$P(X>45)=P(\frac{X-\mu}{\sigma}> \frac{45-60}{18})=P(Z>-0.833)=P(Z$

The percentage of results more than 45 is: $0.7967\times100=79.67\%$

Thus, the percentage of results more than 45 is 79.67%.

(b)

Compute the probability that the results are less than 85 as follows:

$P(X$

The percentage of results less than 85 is: $0.9177\times100=91.77\%$

Thus, the percentage of results less than 85 is 91.77%.

(c)

Compute the probability that the results are between 75 and 90 as follows:

$P(75$

The percentage of results are between 75 and 90 is: $0.1558\times100=15.58\%$

Thus, the percentage of results are between 75 and 90 is 15.58%.

(d)

Compute the probability that the results are between 20 and 100 as follows:

$P(20$

Then the probability that the results outside the range 20 to 100 is: $1-0.9736=0.0264$ .

The percentage of results outside the range 20 to 100 is: $0.0264\times100=2.64\%$

Thus, the percentage of results outside the healthy range 20 to 100 is 2.64%.

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3 years ago

Determine the coordinates of the x-intercept of 3x – 4y = 24.

Mars2501 [29]

The definition of an x intercept is when y equals 0. If y were to equal 0, you would have 3x -4(0)= 24, which is equal to 3x - 0 = 24. Using the addition property of equality, you would add 0 to both sides, and get 3x = 24. Finally, using the division property of equality, you have x = 8. So the coordinates of the x intercept would be (8,0), as your y was defined as 0. Hope this helps. Let me know if you have any questions about my explanation and feel free to ask more questions.

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3 years ago

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7x-3=3+7x infinitely many solutions step-by-step ​

7x-3=3+7x infinitely many solutions step-by-step