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 score ( X = 1230 ):
⇒
Z score ( X = 2220 ):
⇒
This value of Z is unusual as Value lies as : .
Z score ( X = 1360 ):
⇒
Given the measure of side a, b and c of the triangle, the measure of angle C to the nearest tenth is 104.5°.
<h3>What is the measured angle C?</h3>
From the law of cosines;
cosC = ( a² + b² - c² ) / 2ab
Where C is the angle C and a, b, and c are the three sides of the triangle.
Given the data in the question;
- Side a = 2
- Side b = 3
- Side c = 4
- Angle C = ?
Using law of cosine;
cosC = ( a² + b² - c² ) / 2ab
We substitute the values into the equation.
cosC = ( 2² + 3² - 4² ) / ( 2 × 2 × 3 )
cosC = ( 4 + 9 - 16 ) / ( 12 )
cosC = -3 / 12
cosC = -0.25
We find the inverse of cosine.
C = cos⁻¹( -0.25 )
C = 104.477°
C = 104.5°
Given the measure of side a, b and c of the triangle, the measure of angle C to the nearest tenth is 104.5°.
Learn about cosine rule here: brainly.com/question/20839703
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Alright, so first we should add up all of the teachers to get the gist of how many there are in each school.
I got 50 in both North MS and West MS.
F. Half of the teachers would be 25. music+cooking=25 teachers. Correct.
But now, we need to find percentages.
Convert the problem to an equation using the percentage formula: P% * X = Y.
30%x50= 15. Does 9+6 equal 15? Yes, F is Correct.
G. A quarter of 50 is 12.5. (There can't be decimals of teachers though.) At West MS 11 teachers enjoy reading and 14 enjoy outdoor recreation. 11 is less than 12.5 and 14 is more. Incorrect.
H. A majority means more than half in simple terms. Do more than half of the teachers at North MS enjoy rec and cooking? (6+19) It's tricky as there's 25 teachers. However, it is not greater than 25 so it is not a majority. Incorrect.
J. Less than half of 50 teachers at West MS enjoy rec and music. (14+15=29)
Incorrect.
Hope this helped! Khan Academy is a fantastic resource.
Finding the difference is the same as subtracting the smaller from the larger
Answer: 20 people are in my class
Step-by-step explanation: