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grin007 [14]
3 years ago
11

14a^8c^9 + 2a^4c^3 [Algebra]

Mathematics
1 answer:
rosijanka [135]3 years ago
3 0

Answer:

im not the best at algebra but

2a+3b+4c

Step-by-step explanation:

subtract

(2a−3b+4c) from the sum of (a+3b−4c),(4a−b+9c) and (−2b+3c−a).

add

=(a+3b−4c)+(4a−b+9c)+(−2b+3c−a)

=(a+4a−a)+(3b−b−2b)+(−4c+9c+3c)

=4a+8c

then subtract

=(4a+8c)−(2a−3b+4c)

=4a+8c−2a+3b−4c

=2a+3b+4c

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In the figure on the right, Triangle EFG is congruent to Triangle LMN. Find the value of x. Then describe the Transformations th
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Answer:

Step-by-step explanation:

ΔEFG ≅ΔLMN

Therefore,  MN = FG    { corresponding part of congruence triangle}

x + 3 = 13

x = 13 - 3

x = 10 cm

3 0
3 years ago
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Last night at 8pm in Chicago, the temperature was 3 degrees Celsius. By 5am, it had dropped 5 degrees. What was the temperature
sattari [20]

Answer:

-2degrees

Step-by-step explanation:

(3 degrees Celsius - 5 degrees Celsius)= -2 degrees Celsius

4 0
2 years ago
-5/2 x (3x + 4) &lt; 6x - 3x<br> Please show work
Pie

Answer:

x >  -  \frac{20}{21}

Step-by-step explanation:

-5/2 × (3x + 4) < 6x - 3x

-15/2x - 10 < 3x

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2 years ago
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Determine the sample size needed to construct a 90% confidence interval to estimate the population proportion when p = 0.65 and
WINSTONCH [101]

Answer:

n=170

Step-by-step explanation:

1) Notation and definitions

n random sample taken (variable of interest)

\hat p=0.65 estimated proportion.

p true population

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

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 population proportion have the following distribution

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by \alpha=1-0.90=0.1 and \alpha/2 =0.05. And the critical value would be given by:

z_{\alpha/2}=\pm 1.64

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.06 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.65(1-0.65)}{(\frac{0.06}{1.64})^2}=169.968  

And rounded up we have that n=170

6 0
4 years ago
A passenger train has tickets available for 12 window seats and 8 aisle seats. The next person to buy a ticket will be randomly
Svetradugi [14.3K]

Answer:

2/5

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There is an 8/20 chance that the next person will receive a window seat. You simplify that probability to get your answer. 8/20 becomes 2/5. So the answer is 2/5.

7 0
3 years ago
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