If ‘p’ and ‘q’ are co-interior angles, write the relation between them
1 answer:
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To solve the problem we need to know about depreciation.
<h2>Formula of Depreciation</h2>The formula of depreciation is given as,
where,
A is the value of an object after t years of time,
P is the value of the object at the beginning, and
r is the rate of depreciation.
The value of the car after 11 years is $4,603.81.
<h2>Explanation</h2>Given to us
- Cost of Car at the beginning, p = $20,000
- Rate of depreciation, r = 12.5%
- Time, t = 11 years
Substituting the values in the formula of depreciation,
Value of the car after 11 years =
Hence, the value of the car after 11 years is $4,603.81.
Learn more about Depreciation:
Answer:
a) 0.5714 = 57.14% probability that it is overloaded because they have a mean weight greater than 158 lb
b) No, because the probability of being overloaded is considerably high(57.14%). Ideally, it should be under 5%, which would be considered an unusual event.
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 normal distributions 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.
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.
Assume that weights of males are normally distributed with a mean of 160 lb and a standard deviation of 35 lb.
This means that
Sample of 10:
This means that
a) Find the probability that it is overloaded because they have a mean weight greater than 158 lb.
This is 1 subtracted by the pvalue of Z when X = 158. So
By the Central Limit Theorem
has a pvalue of 0.4286
1 - 0.4286 = 0.5714
0.5714 = 57.14% probability that it is overloaded because they have a mean weight greater than 158 lb.
b.) Does this elevator appear to be safe?
No, because the probability of being overloaded is considerably high(57.14%). Ideally, it should be under 5%, which would be considered an unusual event.