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3 years ago

7

Which expression correctly represents “six more than the quotient of three and a number, decreased by eight”? 6 + StartFraction

3 Over n EndFraction minus 8 6 + StartFraction n Over 3 EndFraction minus 8 6 + StartFraction 3 Over n EndFraction + 8 6 + StartFraction n Over 3 EndFraction + 8

1 answer:

Neko [114]3 years ago

7 0

Answer:

(3/x +6)-8

Step-by-step explanation:

The given statement is

"Six more than the quotient of three and a number, decreased by eight".

"Six more than" indicates the sum between the quotient and 6.

"The quotient of three and a number" indicates a fraction where the numerator is 3 and the denominator is , a number.

"Decreased by eight" indicates a subtraction between the quotient an 8 units".

If we unit all parts of the statements, we would have

The parenthesis just indicates the order of the operations as the problem states.

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Am solving this problem correct

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$first \ term = 3t$
The degree of the second term is... 2
$second \ term = t^2$
The degree of the third term is... 4
$third \ term = t^4$

b) The leading term of the polynomial is... 7t⁴
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What is the system of inequalities associated with the following graph?

slamgirl [31]

One line passes through the points (-2,3) and (0,-3) , it means the y intercept is b=-3

and slope m = $\frac{(-3-3)}{0-(-2)}$

$= \frac{-6}{2}= -3$

So the equation of line will be $y= -3x -3$

And the inequality should be $y\geq -3x-3$

Or $3x +y \geq -3$

And the other line passes through (-2,3) and (0,2)

So the y intercept is b=2

and the slope is $m= \frac{2-3}{0-(-2)} = \frac{-1}{2}$

So the equation of line will be $y= \frac{-1}{2} x +2\\and the inequality should be y \leq \frac{-1}{2} x+2$

Or

$2y +x \leq 4$

So answer is $3x +y \geq -3, x+2y\leq 4$

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4 years ago

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Do the phrases 6 less a number y and 6 less than a number y mean the same thing? Explain. A. No, they do not both mean the same

Yuri [45]

Answer:

B. Yes, they both mean the same thing. They can also both be represented by the expression y - 6.

Step-by-step explanation:

Given

Phrase 1: 6 less a number y

Phrase 2: 6 less than a number y

<em>Mathematically,</em>

Phrase 1 can be represented as follows;

$y - 6$

<em>Mathematically,</em>

Phrase 2 can be represented as follows;

$y - 6$

<em>Since the representation of both phrases are the same, then option B answers the question.</em>

<em></em>

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3 years ago

Ben earns an annual income of $12,800 a year. The income tax he has to pay is 15%. What is the amount of income tax in dollars a

kirill115 [55]

Answer:

$

1

,

920

Explanation:

Find

15

%

×

12800

15

100

×

12800

1

=

$

1

,

920

Step-by-step explanation:

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Wires manufactured for use in a computer system are specified to have resistances between 0.11 and 0.13 ohms. The actual measure

Marina CMI [18]

Answer:

a) $P(0.11$

And we can find this probability with this difference and with the normal standard table or excel:

$P(-1.11$

b) $P(0.11 < \bar X < 0.13)$

And we can use the z score defined by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And using the limits we got:

$z = \frac{0.11-0.12}{\frac{0.009}{\sqrt{4}}}= -2.22$

$z = \frac{0.13-0.12}{\frac{0.009}{\sqrt{4}}}= 2.22$

And we want to find this probability:

$P(-2.22< Z$

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".

Part a

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

$X \sim N(0.12,0.009)$

Where $\mu=0.12$ and $\sigma=0.009$

We are interested on this probability

$P(0.11$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(0.11$

And we can find this probability with this difference and with the normal standard table or excel:

$P(-1.11$

Part b

We select a sample size of n =4. And since the distribution for X is normal then we know that the distribution for the sample mean $\bar X$ is given by:

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

And we want this probability:

$P(0.11 < \bar X < 0.13)$

And we can use the z score defined by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And using the limits we got:

$z = \frac{0.11-0.12}{\frac{0.009}{\sqrt{4}}}= -2.22$

$z = \frac{0.13-0.12}{\frac{0.009}{\sqrt{4}}}= 2.22$

And we want to find this probability:

$P(-2.22< Z$

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3 years ago

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