Bradley and Kelly are out flying kites at a park one afternoon. A model of Bradley and Kelly's kites are shown below on the coor
dinate plane as kites BRAD and KELY, respectively:
Which statement is correct about the two kites?
A. They are similar because BR : DB is 1 : 3 and KE : YK is 1 : 3
B. They are similar because BR : DB is 1 : 2 and KE : YK is 1 : 2
C. They are not similar because BR : DB is 1 : 2 and KE : YK is 1 : 3
D. They are not similar because BR : DB is 1 : 3 and KE : YK is 1 : 2
Which statement is correct about the two kites?
A. They are similar because BR : DB is 1 : 3 and KE : YK is 1 : 3
B. They are similar because BR : DB is 1 : 2 and KE : YK is 1 : 2
C. They are not similar because BR : DB is 1 : 2 and KE : YK is 1 : 3
D. They are not similar because BR : DB is 1 : 3 and KE : YK is 1 : 2
2 answers:
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Answer:
15.87% probability that a randomly selected individual will be between 185 and 190 pounds
Step-by-step explanation:
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.
In this problem, we have that:
What is the probability that a randomly selected individual will be between 185 and 190 pounds?
This probability is the pvalue of Z when X = 190 subtracted by the pvalue of Z when X = 185. So
X = 190
has a pvalue of 0.8944
X = 185
has a pvalue of 0.7357
0.8944 - 0.7357 = 0.1587
15.87% probability that a randomly selected individual will be between 185 and 190 pounds
Answer:
Diameter of the circle is units
Step-by-step explanation:
It is given that the vertices of the square fall on the circle.
So, the diagonal of the square is the diameter of the circle.
Also, the diagonal and the two sides of the square form a right angled triangle.
By Pythogoras theorem,
=
=
units
Hence, the diameter of the circle is units
