Does anyone know how to get the quadratic formula on a ti-84 calculator or any formulas for the ACT?
1 answer:
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Answer:
The z-score for the statistics test grade is of 1.11.
The z-score for the calculus test grade is 7.3.
Due to the higher z-score, the student performed better on the calculus test relative to the other students in each class
Step-by-step explanation:
Z-score:
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.
In this question:
The grade with the higher z-score is better relative to the other students in each class.
Statistics:
Mean of 79 and standard deviation of 4.5, so
Student got 84, so
The z-score is:
The z-score for the statistics test grade is of 1.11.
Calculus:
Mean of 69, standard deviation of 3.7, so
Student got 96, so
The z-score is:
The z-score for the calculus test grade is 7.3.
On which test did the student perform better relative to the other students in each class?
Due to the higher z-score, the student performed better on the calculus test relative to the other students in each class
Answer:
The total resistance is
Step-by-step explanation:
Attached please find the circuit diagram. The circuit is composed by a voltage source and two resistors connected in parallel: and
.
First step: find the total current
For finding the current that the voltage source can provide, you must find the current consumed by each load and then add both. To do that, take first into account that the voltage is the same for both resistors ( and
).
The total current is:
Now, the total resistance () would be the voltage divided by the total current:
If you replace by the expression obtained previously, the total resistance would be:
After simplifying the terms you should get:
Now, you must replace the values of the resistors:
Thus, the total resistance is
