Jake’s skateboard cost 95 dollars, plus an additional 25% fee for a custom paint design, trucks and wheels. What is the total co
st for Jake’s new skateboard?
2 answers:
You might be interested in
Answer:
2.28% probability that the mean amount of their monthly cell phone bills is more than $60
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 amount of their monthly cell phone bills is more than $60?
This is 1 subtracted by the pvalue of Z when X = 60. So
By the Central Limit Theorem
has a pvalue of 0.9772
1 - 0.9772 = 0.0228
2.28% probability that the mean amount of their monthly cell phone bills is more than $60
The distance from the second destination back to Dallas is 918 miles
<h3>Given</h3>A triangle has points Dallas, destination 1, and destination 2.
The distance from Dallas to destination 1 is 720 miles
The distance from destination 1 and destination 2 is 290 miles
the angle formed between Dallas, destination 1, and destination 2 is 125 degrees.
He moves from destination 1 to Dallas then destination 2
We could use cosine law to find the distance
<h3>What is cosine law?</h3>The Law of cosines or cosine law means the relation between the length of sides of a triangle with respect to the cosine of its angle. It is also called the cosine rule
=
=84100+518400-417600 cos 125
=602500-417600*(-0.5735)
=602500+239493.6
=841993.6
b=917.6 miles
≅918 miles
The distance is 918 miles he will fly from the second destination back to Dallas
Learn more on Distance here:
#SPJ4