Answer:
<h2>This constant of proportionality represents the lost fee, which is the relation between both variables.</h2>Step-by-step explanation:
Givens
Let's call the cost of the book and
the lost feet. All this can be expressed as
This expression indicates that the lost fee is 75% of the cost of the book.
Notice that this is a linear equation, where and
are directly proportional and the constant of proportionality is 0.75, which is 75%.
This constant of proportionality represents the lost fee, which is the relation between both variables.
Now, replacing values we can find the cost of the book
The book costs $80.
Answer: 0.75,
The constant of proportionality is the ratio between two directly proportional quantities.
The cost of book changes but the lost book fee charge remains constantper book i.e.0.75
Step-by-step explanation:
Given: Let x be the cost of her book (in dollars).
Since, her school charges a lost book fee equal to 75% of the cost of the book.
Then, the the lost book fee=75% of x
Since 75% =0.75
Thus, the the lost book fee=$0.75x
The cost of book changes but the lost book fee charge remains constant per book i.e.0.75
Sarah received a notice stating that she owed the school $60 for he lost book.
The the lost book fee=
ANSWER
EXPLANATION
The end points of the segment are:
and
The box represents the midpoint of the two points.
Using the midpoint formula;
We substitute the end points of the line segment to obtain,
This simplifies to:
We convert back to mixed numbers to get,
The correct choice is B
Answer:
4.18% probability that less than 80% of this sample will devote work time to follow games
Step-by-step explanation:
Normal probability distribution
When the distribution is normal, we use 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.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean and standard deviation
In this question, we have that:
So
What is the probability that less than 80% of this sample will devote work time to follow games?
This is the pvalue of Z when X = 0.8. So
By the Central Limit Theorem
has a pvalue of 0.0418
4.18% probability that less than 80% of this sample will devote work time to follow games