Step 1
<u>Find the value of s</u>
we know that
In a Rhombus all sides are congruent
so
equate AB and CD
Combine like term
<u>The answer Part a) is</u>
the value of s is
Step 2
<u>Find the value of side AB</u>
substitute the value of s
Remember that the sides are congruent
therefore
<u>the answer Part b) is</u>
The length of the side BC is
Answer:
22.29% probability that both of them scored above a 1520
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:
The first step to solve the question is find the probability that a student has of scoring above 1520, which is 1 subtracted by the pvalue of Z when X = 1520.
So
has a pvalue of 0.5279
1 - 0.5279 = 0.4721
Each students has a 0.4721 probability of scoring above 1520.
What is the probability that both of them scored above a 1520?
Each students has a 0.4721 probability of scoring above 1520. So
22.29% probability that both of them scored above a 1520