The width of a rectangle is 4ft and the diagonal length of the rectangle is 13ft which measurement is closest to the length of t
1 answer:
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Answer:
96.49% probability that the mean rent is more than $1100
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
What is the probability that the mean rent is more than $1100?
This is 1 subtracted by the pvalue of Z when X = 1100. So
By the Central Limit Theorem
has a pvalue of 0.0351
1 - 0.0351 = 0.9649
96.49% probability that the mean rent is more than $1100
The pitch of the roof is given by the ratio of the rise to the run of the roof, which is the slope of the rafter
Please find attached the simple <u>diagram of the house</u> with all measurements labeled
The reason the above value for the pitch and the diagram are correct are as follows:
The given parameters are;
Width of the section of the house on which the gable of the roof is to be placed = 50 feet
Length of the over hang on the sides of the roof = 1 foot each
Total span of the roof = 52 feet
Horizontal length of each rafter, the run = 26 feet
The height of the ridge above the top of the frame, the rise = 12 feet
Required:
- To find the pitch of the roof
- To draw a diagram of the house showing measurements
Solution:
Please find attached the <u>diagram</u> of the house showing the measurements for the roof parameters and the section of the house where the gable roof is to be placed
Learn more about finding the slope of a line here:
