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agasfer [191]
2 years ago
5

1. Two angles added together to produce 90 degrees a) Supplementary b) Complementary c) Right od) Vertical​

Mathematics
1 answer:
Valentin [98]2 years ago
8 0

Answer: B: complementary

Step-by-step explanation: :)

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A journal article reports that a sample of size 5 was used as a basis for calculating a 95% CI for the true average natural freq
oksano4ka [1.4K]

Answer:

Lower = 231.134- 3.098=228.036

Upper = 231.134+ 3.098=234.232

Step-by-step explanation:

Previous concepts

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".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n=5 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

And for this case we know that the 95% confidence interval is given by:

\bar X=\frac{233.002 +229.266}{2}= 231.134

And the margin of error is given by:

ME = \frac{233.002 -229.266}{2}= 1.868

And the margin of error is given by:

ME= t_{\alpha/2} \frac{s}{\sqrt{n}}

The degrees of freedom are given by:

df = n-1 = 5-1=4

And the critical value for 95% of confidence is t_{\alpha/2}= 2.776

So then we can find the deviation like this:

s = \frac{ME \sqrt{n}}{t_{\alpha/2}}

s = \frac{1.868* \sqrt{5}}{2.776}= 1.506

And for the 99% confidence the critical value is: t_{\alpha/2}= 4.604

And the margin of error would be:

ME = 4.604 *\frac{1.506}{\sqrt{5}}= 3.098

And the interval is given by:

Lower = 231.134- 3.098=228.036

Upper = 231.134+ 3.098=234.232

6 0
3 years ago
Who can do this question, I don't know how to do...this is difficult for me....who can teach me?
cupoosta [38]
We know that AB and CD are parallel.  This allows many assumptions.
From that we know that angle A and angle D are congruent. 
That means that x + 8 = 2x - 22 and we can solve for x
x + 8 = 2x - 22
x + 30 = 2x
30 = x or x = 30

We know from the figure that angle B is x or now that we solved for x is 30 degrees.  Also, we know that both angle A and angle D are 38 degrees.  Now we can solve for the vertical angle E which has a measure of y degrees.  A triangle has the sum of its angles equal to 180 degrees.

We can set up an equation like this 30 + 38 + y = 180
30 + 38 + y = 180
68 + y = 180
y = 112 degrees

That is how you would solve this problem
4 0
4 years ago
HELP!!!!<br><br> I need an answer soon, please!!!<br><br> I will give Brainliest!!!!
sattari [20]

Answer:

180

Step-by-step explanation:

In this drawing I made, I added some variables. a and d are complimentary, meanwhile b and c are complimentary. A straight line is an angle of 180 degrees. Therefore, a + b = 180.

7 0
3 years ago
Please help me with this<br> It is due today, so please help me ASAP
horrorfan [7]
1.a. 2 hours 41 minutes b. 10 hours 21 minutes
2.a. 3:10pm b. 12:42pm
4 0
3 years ago
Read 2 more answers
7z² 5z⁴ d³ d⁸ what strategy to simplify or model
Shalnov [3]

Answer:

35z at the power of 6 times d at the power of 11

Step-by-step explanation:

add the z's power together then the d's power

4 0
3 years ago
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