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ioda
3 years ago
5

suppose a trianle hass the side lengths of 42 and 35 and the anle between the two sides is 120 what equation should you use to f

ind the length of the third side
Mathematics
1 answer:
miss Akunina [59]3 years ago
8 0

answer to this question is 66.78

If we know two sides and an included angle of any triangle, we can use law of cosines to find the unknown length of the third side

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Six bags of Takis costs $13.50. Five bags of Takis costs $10. Which has
viktelen [127]

Answer:

the correct answer is 5 bags

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3 years ago
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Given that a 90% confidence interval for the mean height of all adult males in Idaho measured in inches was [62.532, 76.478]. Us
grigory [225]

Answer:

The confidence interval on this case is given by:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

\bar X = \frac{62.532+76.478}{2}= 69.505

So then the mean for this case is 69.505

Step-by-step explanation:

Previous concepts

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".  

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".

\bar X represent the sample mean  

\mu population mean (variable of interest)  

\sigma represent the population standard deviation  

n represent the sample size  

Assuming the X follows a normal distribution  

X \sim N(\mu, \sigma)

The confidence interval on this case is given by:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

\bar X = \frac{62.532+76.478}{2}= 69.505

So then the mean for this case is 69.505

5 0
3 years ago
This year benny is 12 years old and his mom is 48 years old. what percent of his mom's age is benny's age
Dennis_Churaev [7]
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25% of his mom's age is benny's age
3 0
3 years ago
Determine the area that is bounded by the graphs of the following equations on the interval below. (Round your answer to three d
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Answer:

A≅407.34 au (area units)

Step-by-step explanation:

we must find the area generated by equations a., b., and c. To do this we must graph and the areas and determine their points to evaluate

As seen in the graphs (1, 2) we have the area generated by equations a. b. and the limits within which the area should be evaluated are those determined by c.

Finally we find A (view graph 3)

7 0
3 years ago
A line is parallel to y = 2x – 8 and
Naya [18.7K]

Answer:

y=2x+7

Step-by-step explanation:

When an equation is parallel to another, it shares the same slope.

Our original line is y=2x-8, and it is in slope-intercept form (y=mx+b)

This means that our slope is 2 because m represents the slope.

The slope of our parallel line will then also be 2.

<u>We can begin to plug that into point-slope form which is:</u>

y - y1 = m(x - x1)

This is where (x1, y1) is a point the line intersects, and m is the slope.

<u>Plugging in the slope, we'll have:</u>

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We also know it intersects the point (-4, -1)

We can plug this into our equation as well.

y - (-1) = m(x - (-4))

y+1=2(x+4)

<u>Now, we can simplify it into slope-intercept form:</u>

y+1=2(x+4)

Distribute

y+1=2x+8

Subtract 1 from both sides

y=2x+8-1

y=2x+7

5 0
3 years ago
Read 2 more answers
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