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2 years ago

C

Mathematics

1 answer:

charle [14.2K]2 years ago

6 0

Answer:

x = 7

Step-by-step explanation:

The final step in this "two-step" linear equation is to multiply both sides by the inverse of the coefficient of x.

$\dfrac{4}{3}(x)=\dfrac{28}{3}\qquad\text{given}\\\\\dfrac{3}{4}\cdot\dfrac{4}{3}(x) = \dfrac{3}{4}\cdot \dfrac{28}{3}\qquad\text{multiply by $\dfrac{3}{4}$}\\\\x=\dfrac{28}{4}=7$

The solution is x = 7.

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I need help please.

makkiz [27]

Answer:

see explanation

Step-by-step explanation:

Using the rules of radicals/ exponents

$a^{m}$ × $a^{n}$ = $a^{(m+n)}$

$a^{\frac{m}{n} }$ ⇔ $\sqrt[n]{a^{m} }$

Simplifying each term

7 $\sqrt{x^{3} }$ = 7 $x^{\frac{3}{2} }$

x $\sqrt{9x}$

= x × $\sqrt{9}$ × $\sqrt{x}$

= x × 3 × $x^{\frac{1}{2} }$

= 3 × $x^{(1+\frac{1}{2}) }$

= 3 $x^{\frac{3}{2} }$

Subtracting the 2 simplified like terms, that is

7 $x^{\frac{3}{2} }$ - 3 $x^{\frac{3}{2} }$

= 4 $x^{\frac{3}{2} }$ ← return to radical form

= 4 $\sqrt{x^{3} }$

8 0

3 years ago

Intravenous fluid bags are filled by an automated filling machine. Assume that the fill volumes of the bags are independent, nor

iren2701 [21]

Answer:

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,0.08)$

Where $\mu$ and $\sigma=0.08$

Since the distribution for X is normal then the we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard error is given by:

$SE= \frac{0.08}{\sqrt{24}}= 0.0163$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,0.08)$

Where $\mu$ and $\sigma=0.08$

Since the distribution for X is normal then the we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard error is given by:

$SE= \frac{0.08}{\sqrt{24}}= 0.0163$

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4 years ago

The first house on the street has a lawn that is 200 feet long. The second house has a lawn that is two times the length of the

My name is Ann [436]

Answer:

The length of the second lawn is 400 feet

6 0

2 years ago

Read 2 more answers

A submarine descends 100 meters from the oceans surface.the submarine ascends 40 meters and then descends 90 meters. write an in

vivado [14]

I believe the answer is -230

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3 years ago

On the day of his 18th birthday harry decided to start saving up money regularly starting on that day he could save £30 on the s

Arada [10]

Answer:

£15120

Step-by-step explanation:

60-18= 42 years

42×12= 504 months

504×30=£15120

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3 years ago