MATH HELP PLEASE
2 answers:
Answer: 12.5%
Step-by-step explanation:
Given: A set of data representing the heights of 16 students, in centimeters, is shown in the histogram below.
Therefore, the total frequency of students = 16
From the histogram, the frequency of students having height between 160 and 169 cm=2
The percent of students are between the heights of 160 and 169 centimeters is given by :-
Hence, the percent of students are between the heights of 160 and 169 centimeters = 12.5%
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<h3>Answer: Choice B</h3>
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Explanation:
The requirements for a probability distribution are this
- The individual probabilities must be between 0 and 1, inclusive of both endpoints. We can say
where p is an individual probability.
- The probabilities must sum to 1.
Condition #1 shown above allows us to rule out choice C due to -0.10 not being in the interval from 0 to 1.
We can also rule out choice D since the probabilities sum to this
0.20+0.15+0.20+0.20+0.20+0.20 = 1.15
The sum is too large. The sum needs to be 1.00 or just 1.
So that leaves choice A or choice B as the possible answer. Both distributions fit conditions #1 and #2 as shown above (I'll let you confirm these facts). However, choice A is ruled out because that distribution is considered fair. Each probability for choice A is equal, so each side of the cube is equally likely to be landed on.
For choice B, the probabilities are different, so we don't have a fair cube here and it is considered loaded or biased.
value of x = 20 and value of y=16
Solution set=(20,16)
Step-by-step explanation:
We need to solve system of equations:
Let:
Simplifying equation 2:
Taking LCM on left side:
Adding eq(1) and eq(3)
Putting value of x in eq(1) and finding y:
So, value of x = 20 and value of y=16
Solution set=(20,16)
Keywords: System of equations
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