A Z-score helps us to understand how far is the data from the mean. The Z-score of the learner for ACT is 2.1154, while for SAT is 2.1.
<h3>What is Z-score?</h3>
A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,
Z = (X-μ)/σ
Where Z is the Z-score,
X is the data point,
μ is the mean and σ is the standard variable.
Given the mean for the ACT score is 21, while the standard deviation is 5.2, therefore, the Z-score for the ACT composite score will be,
Z = (32-21)/5.2 = 2.1154
Similarly, given the mean for the SAT score is 516, while the standard deviation is 116, therefore, the Z-score for the SAT composite score will be,
Z = (760-516)/116 = 2.1
Hence, the Z-score of the learner for ACT is 2.1154, while for SAT is 2.1.
Learn more about Z-score:
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Answer:
![[6\frac{1}{6},6\frac{1}{3},6\frac{1}{2},6\frac{2}{3},6\frac{5}{6}]](https://tex.z-dn.net/?f=%5B6%5Cfrac%7B1%7D%7B6%7D%2C6%5Cfrac%7B1%7D%7B3%7D%2C6%5Cfrac%7B1%7D%7B2%7D%2C6%5Cfrac%7B2%7D%7B3%7D%2C6%5Cfrac%7B5%7D%7B6%7D%5D)
Step-by-step explanation:
we have the compound inequality
where
x is a mixed number
so
The solution for the compound inequality are the numbers
![[6\frac{1}{6},6\frac{2}{6},6\frac{3}{6},6\frac{4}{6},6\frac{5}{6}]](https://tex.z-dn.net/?f=%5B6%5Cfrac%7B1%7D%7B6%7D%2C6%5Cfrac%7B2%7D%7B6%7D%2C6%5Cfrac%7B3%7D%7B6%7D%2C6%5Cfrac%7B4%7D%7B6%7D%2C6%5Cfrac%7B5%7D%7B6%7D%5D)
Simplify the numbers
Answer:
1
Step-by-step explanation:
Well you could use the exponential identity that: 
To determine: 
Which means that it's equal to: 
and since anything to the power of 0 (except 0) is equal to 1, then the value is 1.
But you can also just see that the numerator and denominator are the same exact value, and since dividing something by it self, results in 1, the answer must be 1, which is kind of a proof as to why h^0 = 1.
Answer: x = 19/189
Step-by-step explanation:
Add the same term to both sides of the equation
Simplify
Multiply all terms by the same value to eliminate fraction denominators
Simplify
Divide both sides of the equation by the same term
Simplify
Add up all the numbers together
it’ll give you 17
since they’re asking abt the probability of a purple being chosen twice, multiply 5 by 2 to give you 10
so 10/17
