Oliver completed his project in no more than twice the amount of time it took Karissa to complete her project. Oliver spent 4 an
1 answer:
The time taken by Oliver to complete the work is less than or equal to twice the work done by Karissa.
Option B shows the correct equation of inequality to write the time taken to complete the work.
<h3>What is inequality?</h3>Inequality can be defined as a relation that makes a non-equal comparison between two numbers or other mathematical expressions.
Given that Oliver completed his project in no more than twice the amount of time it took Karissa to complete her project. Also, the time taken to complete the project is,
Oliver = 4 and one-fourth hours
Karissa = K hours
As per the given condition, the work done by Oliver should not be more than twice the work done by Karissa. It can be equal or less. So we can write this in equation form as,
Oliver 2 Karissa
Hence Option B shows the correct equation of inequality to write the time taken to complete the work.
To know more about inequality, follow the link given below.
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Answer:
464 students will score between 48 and 75. Using the z-distribution, we measure how many standard deviations each score is from the mean, then find the p-value associated with each score to find the proportion, and from the proportion, we find how many out of 1000.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
It assumes the scores are normally distributed with a mean score of 75 and a standard deviation of 15.
This means that
How many students will score between 48 and 75?
First we find the proportion, which is the pvalue of Z when X = 75 subtracted by the pvalue of Z when X = 48. So
X = 75
has a p-value of 0.5
X = 48
has a p-value of 0.0359
1 - 0.0359 = 0.4641
Out of 1000:
0.4641*1000 = 464
464 students will score between 48 and 75. Using the z-distribution, we measure how many standard deviations each score is from the mean, then find the p-value associated with each score to find the proportion, and from the proportion, we find how many out of 1000.