Math question! I appreciate any help :)
1 answer:
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Answer:
Due to the higher z-score, she did better in the free throw category.
Step-by-step explanation:
Z-score:
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:
She did better in the category that she had the higher z-score:
Free-throws:
Her free throw percentage was 79%, which means that
The team averaged 87% from the free throw line with a standard deviation of 12, which means that . So
Steals:
She had 4 steals, which means that
Averaged 7 steals with a standard deviation of 3, which means that . So
Due to the higher z-score, she did better in the free throw category.
Answer:
Step-by-step explanation:
1. You know that the force acting on the object varies directly with the object's acceleration. Then, by definition, you have:
Where is the force acting on the object,
is the object's acceleration and
is the constant of proportionality.
2. Keeping this on mind, you can calculate the constant of proportionality by substituting and
into the equation and solving for
:
3. Now, you can calculate the force when the acceleration of the object becomes 5 m/s², as following:
3. The result is:
They will be 15 miles apart after one hour if they left the same point at the same time.
<h3>How do we measure and calculate the distance in Geometry?</h3>The distance between two points in geometry can be calculated by using the Pythagoras theorem.
Mathematically, the Pythagoras theorem can be expressed as:
where;
- x and y are opposite and adjacent sides respectively.
d = 15 miles
Therefore, we can conclude that they will be 15 miles apart after one hour if they left the same point at the same time.
Learn more about calculating the distance between two points here:
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