This is Geometry. Can someone help me find the side length asked for?
1 answer:
The trick is to recognize a few things.
1. These are similar triangles, so the ratio of BU to BC is the same as BT to BA and UT to CA.
2. BC = 2 BUs and BA = 2 BTs
This means the sides of the short triangle are half the length of the sides of the big triangle.
Put in other words, CA = 2 UT
Put into an equation x+29 = 2(x+19).
x + 29 = 2x + 38
–9 = x
So that means UT = 10 and CA = 20
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Answer:
If the distribution is bell shaped we can approximate the probability with high accuracy using the z score formula.
a)
And for this case we can use the z score given by:
And if we use it we got:
b)
And for this case we can use the z score given by:
And if we use it we got:
c)
And for this case we can use the z score given by:
And if we use it we got:
If the distribution is NOT bell shaped the approximation with the z score NOT works and we need to have the distribution for X in order to find the probabilities.
Step-by-step explanation:
Previous concepts
If the distribution is bell shaped we can approximate the probability with high accuracy using the z score formula.
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 of interest
We assume for this case that and
We are interested on this probability
And for this case we can use the z score given by:
And if we use it we got:
Part b
And for this case we can use the z score given by:
And if we use it we got:
Part c
And for this case we can use the z score given by:
And if we use it we got:
If the distribution is NOT bell shaped the approximation with the z score NOT works and we need to have the distribution for X in order to find the probabilities.