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Verizon [17]
2 years ago
6

On mr robinsons last history test for this marking period. the average score was 98. Fourty students took the test and 39 studen

ts scored 100. What was the score of the student who did not score 100 on the test?
Mathematics
1 answer:
BabaBlast [244]2 years ago
6 0

Answer:

20

Step-by-step explanation:

\displaystyle \frac{39(100)+x}{40}=98\\\\3900+x=3920\\\\x=20

Therefore, the remaining student scored a 20 (which sounds weird, but I'm going with it).

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In 2000, the number of students enrolled at Arlington Country Day School was 823 students. In 2010, the population was approxima
vivado [14]
705 - 823 = -118

-118/823 = -0.143 = 14.3% decrease
5 0
2 years ago
Read 2 more answers
In Triangle XYZ, measure of angle X = 49° , XY = 18°, and
marissa [1.9K]

Answer:

There are two choices for angle Y: Y \approx 54.987^{\circ} for XZ \approx 15.193, Y \approx 27.008^{\circ} for XZ \approx 8.424.

Step-by-step explanation:

There are mistakes in the statement, correct form is now described:

<em>In triangle XYZ, measure of angle X = 49°, XY = 18 and YZ = 14. Find the measure of angle Y:</em>

The line segment XY is opposite to angle Z and the line segment YZ is opposite to angle X. We can determine the length of the line segment XZ by the Law of Cosine:

YZ^{2} = XZ^{2} + XY^{2} -2\cdot XY\cdot XZ \cdot \cos X (1)

If we know that X = 49^{\circ}, XY = 18 and YZ = 14, then we have the following second order polynomial:

14^{2} = XZ^{2} + 18^{2} - 2\cdot (18)\cdot XZ\cdot \cos 49^{\circ}

XZ^{2}-23.618\cdot XZ +128 = 0 (2)

By the Quadratic Formula we have the following result:

XZ \approx 15.193\,\lor\,XZ \approx 8.424

There are two possible triangles, we can determine the value of angle Y for each by the Law of Cosine again:

XZ^{2} = XY^{2} + YZ^{2} - 2\cdot XY \cdot YZ \cdot \cos Y

\cos Y = \frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ}

Y = \cos ^{-1}\left(\frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ} \right)

1) XZ \approx 15.193

Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-15.193^{2}}{2\cdot (18)\cdot (14)} \right]

Y \approx 54.987^{\circ}

2) XZ \approx 8.424

Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-8.424^{2}}{2\cdot (18)\cdot (14)} \right]

Y \approx 27.008^{\circ}

There are two choices for angle Y: Y \approx 54.987^{\circ} for XZ \approx 15.193, Y \approx 27.008^{\circ} for XZ \approx 8.424.

6 0
3 years ago
Who can help me with these quick problems?
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Don’t press the link it a scam
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3 years ago
525$deposit. 4% interest. 1 year. calculate the simple interest earnef
elena55 [62]
First you will divide 525 by 100. Then you multiply your answer by 4. That will equal 21
6 0
3 years ago
How many zeros does the function f(x) = 3x12 − 17x8 + 11x4 − 6x + 23 have?
dem82 [27]
How many zeros does the function f(x) = 3x12 − 17x8 + 11x4 − 6x + 23 have? 

Answer: the third option (12 zeros..). 

Use ^ to denote an exponent.. 

f(x) = 3x^12 - 17x^8 + 11x^4 - 6x + 23.. 


We know from that fact that the number of zeros (real or complex) in a polynomial is the same as the degree of the polynomial.. 

The degree is the greatest/highest power of the terms, which in this case is 12 (since 12 is the greatest exponent..).. 

The degree is 12, thus it means there are 12 zero's.. 


Answer: the third option (12 zero's )...
3 0
3 years ago
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