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alekssr [168]
3 years ago
6

15. In the diagram AB is parallel to CD. Calculate the value of a. NOT TO SCALE

Mathematics
1 answer:
VikaD [51]3 years ago
5 0

Same-side interior angles, which are shown here, are supplementary, which means that they add up to 180 degrees.

5a + a = 180

6a = 180

a = 30 degrees

Hope this helps! :)

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Use an inequality to describe the interval of real numbers <br><br>(-3,8]
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−8−1+4 ⋅ 2 find the answer to this equation
jeyben [28]

Answer:

-1

Step-by-step explanation:

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A test is used to assess readiness for college. In a recent​ year, the mean test score was 20.3 and the standard deviation was 4
Vlada [557]

Answer:

\mu = 20.3

\sigma = 4.9

And we can find the limits in order to consider values as significantly low and high like this:

Low\leq \mu -2 \sigma= 20.3- 2*4.9 = 10.5

High\geq \mu +2 \sigma= 20.3+ 2*4.9 = 30.1

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".

Solution to the problem

For this case we can consider a value to be significantly low if we have that the z  score is lower or equal to - 2 and we can consider a value to be significantly high if its z score is  higher tor equal to 2.

For this case we have the mean and the deviation given:

\mu = 20.3

\sigma = 4.9

And we can find the limits in order to consider values as significantly low and high like this:

Low \leq \mu -2 \sigma= 20.3- 2*4.9 = 10.5

High\geq \mu +2 \sigma= 20.3+ 2*4.9 = 30.1

6 0
3 years ago
A cone has the radius of 5 inches and height of 5 inches. What is the volume of the cone to the nearest tenth in3? Use 3.14
olasank [31]
Your answer would be 125.4 cause the number is too small to be 130 so yeah hope this helps

7 0
3 years ago
2x+2y=10 solve for x
irakobra [83]

Isolate the x. Note the equal sign. What you do to one side you do to the other.


Subtract 2y from both sides


2x + 2y (-2y) = 10 (-2y)


2x = 10 - 2y


Isolate the x, divide 2 from both sides and from all terms.


(2x)/2 = (10 - 2y)/2


x = 5 - y


Place the variable in the front


x = -y + 5


x = -y + 5 is your answer


hope this helps

7 0
3 years ago
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