Solution :
Consider quadrilateral ABCD is a parallelogram. The parallelogram have diagonals AC and DB.
So in the given quadrilateral ABCD, let the diagonal AC and diagonal DB intersects at a point E.
Thus in the quadrilateral ABCD we see that :
1. AC and DB are the diagonals of quadrilateral ABCD.
2. Angle DCE is congruent to angle BAE and angle CDE is congruent to angle ABE. (they are alternate interior angles)
3. Line DC is congruent to line AB. (opposites sides are congruent in a parallelogram )
4. Angle ABE is congruent to angle CDE. (Angle side angle)
5. Line AE is congruent to line EC. And line DE is congruent to line EB. (CPCTC)
Thus we see that if the diagonals of a 
, then the quadrilateral is a parallelogram.
Answer:
0.2857 = 28.57% probability that in a year the shares will be selling between $21 and $24
Step-by-step explanation:
When the distribution is normal, we use 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.
The price is approximately normally distributed with a mean of 20 and a standard deviation of 2.
This means that 
What is the probability that in a year the shares will be selling between $21 and $24
This is the pvalue of Z when X = 24 subtracted by the pvalue of Z when X = 21. So
X = 24:
has a pvalue of 0.9772
X = 21:
has a pvalue of 0.6915
0.9772 - 0.6915 = 0.2857
0.2857 = 28.57% probability that in a year the shares will be selling between $21 and $24
Answer:
Step-by-step explanation:
We have been given that three cubes are being rolled and we are required to find the probability of getting 4 on each of the three cubes.
We know the probability of rolling a 4 on one cube will be 
. Since there are 3 cubes, the probability of rolling 4 in each of the individual cubes will be .
But we want 4 to be rolled on all three cubes at once, in order for that to happen, we need to get a four on first cube AND second cube AND third cube. Since there is AND between the events, we will multiplied their probabilities as per counting principle. Thus, the required probability of rolling 4 on each of the three cubes is 
which simplifies to .
<span>24÷4 = 6
</span><span>quotient = 6
</span>remainder = 0 ( no <span>remainder <span>)</span></span>
Answer:
Mean: 52.8
Median:52
Mode:54
Step-by-step explanation:
Mean: 54+48+37+55+51+54+42+52+53=476
476/9=52.8
Median: 37,42,48,51,52,53,54,54,55. The middle one is 52.
Mode: Most common one = 54
Hope this helps! Have a nice day!
