Find the measure of the missing side
2 answers:
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Answer: 1692
Step-by-step explanation:
Formula to find the sample size :
Given : Confidence level :
⇒ significance level =
z-value for 90% confidence interval (using z-table)=
Prior estimate of the population proportion (p) of customers who keep up with regular vehicle maintenance is unknown.
Let we take p= 0.5
Margin of error : E= 2%=0.02
Now, the required sample size will be :
Simplify , we get
Hence, the required sample size = 1692
Answer:
0.4466 = 44.66% probability that, in exactly one of the two classes, all 8 students pass.
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they pass, or they do not. The probability of an student passing is independent of other students, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Probability that all students pass in a class:
Class of 8 students, which means that
Each student has a 95% chance of passing their class independent of the other students, which means that
This probability is P(X = 8). So
Find the probability that, in exactly one of the two classes, all 8 students pass.
Two classes means that
0.6634 probability all students pass in a class, which means that .
This probability is P(X = 1). So
0.4466 = 44.66% probability that, in exactly one of the two classes, all 8 students pass.
To solve this problem you must apply the proccedure shown below:
1. The formula for calculate the perimeter of a rectangle is:
Where is the length and
is the width.
2. The length is more than the width, therefore:
3. Substitute values into the formula for calculate the perimeter and solve for the width:
3. Then, the length is:
The answer is: The length is and the width is