Pyth. theorem
=18.33
=18.3 (corr. to the nearest tenth)
=18.33
=18.3 (corr. to the nearest tenth)
Look at the circle you created that has point C (the midpoint of AB) as its center and passes through point A. What can you say
about AB, angle BDA, angle BEA, and the measures of those two angles. Use what you know about the inscribed angle of a circle, and include your reasoning in your response.
1 answer:
You might be interested in
Answer:
Th number of pages is 33
Step-by-step explanation:
The ratio of the number of pages of text shown in the illustration is 3:2. This implies that for every 2 pages of illustrations, there are 3 pages of text. Therefore, for 22 pages of illustration we shall have;
2 page of illustration = 3 page of text
Then
22 page of illustration = x pages of text
Then by Cross multiplication
x =
x = 33
Answer:
a)
b)
c)
Sicne this probability just represent 1% of the data we can consider this value as unusual.
d)
And if we solve for a we got
So the value of height that separates the bottom 90% of data from the top 10% is 87360.
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".
Part a
Let X the random variable that represent the life of a particular auto transmission of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using excel or the normal standard table and we got:
Part b
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the complement rule and excel or the normal standard table and we got:
Part c
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the complement rule and excel or the normal standard table and we got:
Sicne this probability just represent 1% of the data we can consider this value as unusual.
Part d
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 0.9 of the area on the left and 0.1 of the area on the right it's z=1.28. On this case P(Z<1.28)=0.9 and P(z>1.28)=0.1
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 a we got
So the value of height that separates the bottom 90% of data from the top 10% is 87360.