Z score ( X = 1890 ): 1.31
Z score ( X = 1230 ): -0.76
Z score ( X = 2220 ): 2.34 (This value of Z is unusual )
Z score ( X = 1360 ): -0.35
<u>Step-by-step explanation:</u>
Here we have , A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1473 and the standard deviation was 318 . The test scores of four students selected at random are 1890 , 1230 , 2220 , and 1360 . We need to find Find the z-scores that correspond to each value and determine whether any of the values are unusual. Let's find out:
We know that Z score is given by : ( data - Mean ) / ( standard deviation )
Z score ( X = 1890 ):
⇒ ![Z = \dfrac{1890-1473}{318} = 1.31](https://tex.z-dn.net/?f=Z%20%3D%20%5Cdfrac%7B1890-1473%7D%7B318%7D%20%3D%20%201.31)
Z score ( X = 1230 ):
⇒ ![Z = \dfrac{1230-1473}{318} = -0.76](https://tex.z-dn.net/?f=Z%20%3D%20%5Cdfrac%7B1230-1473%7D%7B318%7D%20%3D%20%20-0.76)
Z score ( X = 2220 ):
⇒
This value of Z is unusual as Value lies as :
.
Z score ( X = 1360 ):
⇒ ![Z = \dfrac{1360-1473}{318} = -0.35](https://tex.z-dn.net/?f=Z%20%3D%20%5Cdfrac%7B1360-1473%7D%7B318%7D%20%3D%20%20-0.35)
slope = - 6
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The answer has to be D. 1.6 min
It is the only one that makes sense
Step-by-step explanation:
Since ray GI bisects ∠FGH, we know that the ray is in the middle of the angle, since it is a bisector. That means that both angles have the same value. ∠FGI is equal to 51º. Since we know that both of the angles are the same value, that makes m∠IGH also equal to 51º. To find the angle of m∠FGH, we add both angles together to get our answer: 102º.
Answers:
m∠IGH = 51º
m∠FGH = 102º