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zloy xaker [14]
3 years ago
9

Simplify the difference.

Mathematics
2 answers:
sergey [27]3 years ago
6 0
(D) -3w2<span> - 9w - 4
I hope this helped :)
</span>
prohojiy [21]3 years ago
4 0

Answer:

\text{The simplified expression is }-3w^2-9w-4

Option 4 is correct.

Step-by-step explanation:

Given the two expressions

we have to find the difference i.,e simplify the expression.

(3w^2 - 5w - 6) - (6w^2 + 4w - 2)

Opening the brackets

(3w^2 - 5w - 6)-6w^2-4w+2

Combining like terms

(3w^2-6w^2)+(-5w-4w)+(-6+2)

-3w^2-9w-4

which is required expression.

Hence, option 4 is correct.

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Consider the two triangles. Triangles A B C and H G I are shown. Angles A C B and H I G are right angles. The length of side A C
zheka24 [161]

Answer:

Both are similar by SAS similarity.

This SAS similarity is equivalent to the congruence.

Step-by-step explanation:

Step 1:

To prove that ACB and HIG as similar triangles.

We have to look upon the corresponding sides.

SAS= Side angle sides , there the angle must be in between two sides.

\angle ACB = \angle HIG

Lets work on the corresponding sides.

IG/AC = IH/AC

\frac{9}{15} = \frac{12}{20}

Reducing each to lowest form, we divide numerator and denominator by 3 for the 1st fraction and by 4 for the 2nd fraction.

We have

\frac{3}{5} = \frac{3}{5}

Both sides are equal.

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3 years ago
Read 2 more answers
What are the slope and the y-intercept of the linear function that is represented by the table?
vlabodo [156]

Answer:

y=-2+12

Step-by-step explanation:

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3 years ago
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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At a fundraiser breakfast, the bill for three glasses of orange juice and five pancake specials is $7.60, whereas the bill for o
r-ruslan [8.4K]
A ) 
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B ) 
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p = $1.10
j = 2.90 - 2.20
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C ) 
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harkovskaia [24]
Factor the expression:
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