It says the number e is a famous irrational number and is one of the most important numbers in mathematics the number e approxim
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Answer: 410 possible points
To solve for the possible points in the course, use a proportion and cross multiply.
<h2>What is a proportion?</h2>
A proportion is two fractions that are equal to each other. For the fractions to be equal, they are proportionate. In our math problem, percentage is proportionate the the number of points.
The fractions represent information you have, and one variable will represent what you are solving for.
<h2 /><h3>Given</h3>Your points = 361
Points to get an 'A' = your points + 8
'A' = 90% of possible points
<h3>Find the points needed for an 'A' at 90%</h3>Points to get an 'A' = your points + 8
= 361 + 8
= 369
<h3>State variables</h3>let <em>x</em> be the amount of possible points
<h3 /><h3>Write a proportion</h3>We know the number of points for 90% is 369 points. Remember that 90% is the same as 90/100.
Keep the information with the same units inside the same fraction. Here, percentage is represented by the first fraction. Points is represented by the second fraction.
We can solve using cross multiplication. This is when we multiply each numerator by the denominator from the other fraction.
Simplify by multiplying.
Isolate the variable <em>x</em>.
Divide both sides by 90 to cancel out 90 on the left.
Divide.
Solved for <em>x</em>, representing the possible points.
∴ The possible points in the art course is 410.
Learn more about finding a missing number given percentage here: brainly.com/question/26535441
Answer:
52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425
Step-by-step explanation:
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.
In this question, we have that:
What is the probability that a randomly selected airfare between these two cities will be between $325 and $425?
This is the pvalue of Z when X = 425 subtracted by the pvalue of Z when X = 325. So
X = 425
has a pvalue of 0.7088
X = 325
has a pvalue of 0.1814
0.7088 - 0.1814 = 0.5274
52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425