For quadrilateral ABCD, determine the most precise name for it. A(-2,3), B(9,3), C(5,6) and D(2,6). Show your work and explain.
1 answer:
To solve this problem you must apply the proccedure shown below:
1. You have the following points given in the problem above:
A<span>(-2,3), B(9,3), C(5,6) and D(2,6)
2. When you plot them, you obtain the figure shown in the graph attached.
3. Therefore, as you can see, the answer is: the figure is a trapezoid, which is define as a quadrilateral with two parallel sides.</span>
1. You have the following points given in the problem above:
A<span>(-2,3), B(9,3), C(5,6) and D(2,6)
2. When you plot them, you obtain the figure shown in the graph attached.
3. Therefore, as you can see, the answer is: the figure is a trapezoid, which is define as a quadrilateral with two parallel sides.</span>
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Answer:
Kindly check attached picture
Step-by-step explanation:
Given the following :
First term (a) = 3
Second term = - 6
third term = 12
Fourth term = - 24
We can obtain the common ratio of the series using the relation :
(2nd term/ 1st term) = (3rd term/2nd term) = (4th term/ 3rd term) =....
(-6/3) = (12/-6) = (-24/12)
-2 = - 2 = - 2
Further explanation can be found in attached picture
Answer:
a) 0.27% probability that the mean is less than 1995 milliliters.
b) 2002.3 milliliters or more will occur only 10% of the time for the sample of 100 bottles.
Step-by-step explanation:
To solve this problem, it is important to understand the normal probability distribution and the central limit theorem
Normal probability distribution
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit theorem
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
In this problem, we have that:
A) If the manufacturer samples 100 bottles, what is the probability that the mean is less than 1995 milliliters?
So
This probability is the pvalue of Z when X = 1995. So
By the Central Limit Theorem
has a pvalue of 0.0027
So 0.27% probability that the mean is less than 1995 milliliters.
B) What mean overfill or more will occur only 10% of the time for the sample of 100 bottles?
This is the value of X when Z has a pvalue of 1-0.1 = 0.9.
So it is X when
2002.3 milliliters or more will occur only 10% of the time for the sample of 100 bottles.
In order to make them perpendicular, their dot product must result in zero. so:
