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gizmo_the_mogwai [7]
3 years ago
15

Whats x solve 1/3x-2/3=-18

Mathematics
2 answers:
Kazeer [188]3 years ago
8 0

Answer:

x=-52

Step-by-step explanation:

multiple everything by 3 to get rid of the fractions

3(1/3x-2/3=-18)\\1x-2=-54\\

rewrite

x-2=-54

add 2 to both sides

x-2+2=-54+2\\x=-52

Zinaida [17]3 years ago
5 0

Answer:

x=-52

Step-by-step explanation:

\frac{1}{3} x-\frac{2}{3} =-18

Add \frac{2}{3} to both sides of the equation:

\frac{1}{3} x=-18 +\frac{2}{3}

Simplify -18+\frac{2}{3} by multiplying -18 in fraction form -\frac{18}{1} to get a common denominator so you can add the two fractions:

-\frac{18}{1} × \frac{3}{3}=-\frac{54}{3}

Now add the two fractions:

-\frac{54}{3} +\frac{2}{3} =-\frac{52}{3}

Now write the simplified equation:

\frac{1}{3} x=-\frac{52}{3}

Divide both sides of the equation by the coefficient of x, which is \frac{1}{3}:

x=-\frac{52}{3} ÷ \frac{1}{3}

Use the reciprocal of the dividend (\frac{1}{3}), and multiply by your divisor:

x=-\frac{52}{3} × \frac{3}{1}

x=-\frac{156}{3}

Simplify the fraction by dividing -156 into 3:

x=-52

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A biologist reports a confidence interval of (3.5,4.9) when estimating the mean height (in centimeters) of a sample of seedlings. What is the estimated margin of error and the sample mean?

Answer:

The  margin of error is  E = 0.7

The  sample mean is  \=  x  =  4.2

Step-by-step explanation:

from the question we are told that

   The  upper limit is  k  =  4.9

    The  lower limit is  r = 3.5

Generally the margin of error is mathematically represented as

      E =  \frac{k - r}{ 2}

      E = \frac{ 4.9  -  3.5 }{2}

     E = 0.7

Generally the sample mean is mathematically evaluated as

        \=  x = k  -  E

=>    \= x  =  4.9 - 0.7

=>    \=  x  =  4.2

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Step-by-step explanation:

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The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to d
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Answer:

Step-by-step explanation:

Hello!

X: number of gypsy moths in a randomly selected trap.

This variable is strongly right-skewed. with a standard deviation of 1.4 moths/trap.

The mean number is 1.2 moths/trap, but several have more.

a.

The population is the number of moths found in traps places by the agriculture departments.

The population mean μ= 1.2 moths per trap

The population standard deviation δ= 1.4 moths per trap

b.

There was a random sample of 60 traps,

The sample mean obtained is X[bar]= 1

And the sample standard deviation is S= 2.4

c.

As the text says, this variable is strongly right-skewed, if it is so, then you would expect that the data obtained from the population will also be right-skewed.

d. and e.

Because you have a sample size of 60, you can apply the Central Limit Theorem and approximate the distribution of the sampling mean to normal:

X[bar]≈N(μ;σ²/n)

The mean of the distribution is μ= 1.2

And the standard deviation is σ/√n= 1.4/50= 0.028

f. and g.

Normally the distribution of the sample mean has the same shape of the distribution of the original study variable. If the sample size is large enough, as a rule, a sample of size greater than or equal to 30 is considered sufficient you can apply the theorem and approximate the distribution of the sample mean to normal.

You have a sample size of n=10 so it is most likely that the sample mean will have a right-skewed distribution as the study variable. The sample size is too small to use the Central Limit Theorem, that is why you cannot use the Z table to calculate the asked probability.

I hope it helps!

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