The blueprints for a home are a 1/10 scale drawing.if the actual living room is 10feet by15 feet,what is the area of the room on
2 answers:
Answer:
The area of the room on blueprint is 1.5 feet by 1 feet.
Step-by-step explanation:
The blue prints for a home are a scale drawing.
If the actual living room is 10 feet by 15 feet.
To find the area of the room on the blueprint, we have to calculate of the actual size.
Actual length of the room = 15 feet
On the blueprint = 15 × = 1.5 feet
Actual width of the room = 10 feet
On the blueprint = 10 × = 1 feet.
The area of the room on blueprint is 1.5 feet by 1 feet.
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Answer:
0.14% probability that the sample proportion exceeds 0.2
Step-by-step explanation:
I am going to use the binomial approximation to the normal to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
Normal probability distribution
Problems of normally distributed samples can be 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.
When we are approximating a binomial distribution to a normal one, we have that ,
.
In this problem, we have that:
So
What is the probability that the sample proportion exceeds 0.2
This is 1 subtracted by the pvalue of Z when X = 0.2*108 = 21.6. So
has a pvalue of 0.9986
1 - 0.9986 = 0.0014
0.14% probability that the sample proportion exceeds 0.2