Find the value of x. a.17 b.12 c.40 d.18 e.none are correct
1 answer:
Answer:
b.12
Step-by-step explanation:
<u>Key skills needed: Interior Angle Measure Theorem, Equation Creation</u>
1) First, we need to classify this shape. It has 7 sides, which means that we can use the Interior angle Theorem to find out the sum of all the interior angle measures
The theorem is:
S is the sum of all interior angle measures
n is the number of sides of the polygon
2) With this, we can plug in 7 for "n" (Since the figure has 7 sides) and get:
--->
---> (7-2) is 5 since 7 - 2 = 5 so -->
---> 5(180) is the same as 5 x 180 which is 900 so -->
This means that the sum of all interior angles is 900 degrees.
3) Now, we have to find out the sum of all the angles that they gave us so:
--->
The left side is the sum of all interior angles in the shape, and the right side is what the sum should be when expressed as a number.
4) We have to combine all like terms on the left side:
--->
--->
5) This means that --->
Subtract 288 from both sides and get:
---> (900-288 = 612)
Then divide by 51 from both sides and get:
---> (612 ÷ 51 = 12)
Therefore b.12 is your answer.
<em>Hope you understood and have a nice day!! :D</em>
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Answer:
And if we solve for we got
So then the mean is for this case.
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".
Solution to the problem
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
Both conditions are equivalent on this case. We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.25 of the area on the left and 0.85 of the area on the right it's z=-0.674. On this case P(Z<-0.674)=0.25 and P(z>-0.674)=0.85
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for we got
So then the mean is for this case.