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anyanavicka [17]
2 years ago
11

Find the variance of 101, 102, 100, 100, 110, 109, 109, 108, 109

Mathematics
1 answer:
Andreyy892 years ago
6 0
101, 102, 100, 100, 110, 109, 109 ,108, 109 average to 105.3



subtracting the mean from each number yields the below-

-4,-3,-5,-5,5,4,4,3,4



Squaring each number gives-

16,9,25,25,16,16,9,16



The average of these numbers is 12.89 to two decimal places, so your variance is 12.89
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A middle school band has 45 sixth and seventh graders The ratio of sixth to seventh graders is 2 to 3 how many sixth graders are
AnnyKZ [126]

Answer:

  18

Step-by-step explanation:

There are 2+3 = 5 ratio units representing 45 band members, so each ratio unit represents 45/5 = 9 band members.

The 2 ratio units of sixth graders represent 2×9 = 18 sixth grade band members.

5 0
2 years ago
Determine whether each statement is true or false. If a statement is true, give a reason or cite an appropriate statement from t
Over [174]

Answer:

1) a. False, adding a multiple of one column to another does not change the value of the determinant.

2) d. True, column-equivalent matrices are matrices that can be obtained from each other by performing elementary column operations on the other.

Step-by-step explanation:

1) If the multiple of one column of a matrix A is added to another to form matrix B then we get: |A| = |B|. Here, the value of the determinant does not change. The correct option is A

a. False, adding a multiple of one column to another does not change the value of the determinant.

2) Two matrices can be column-equivalent when one matrix is changed to the other using a sequence of elementary column operations. Correc option is d.

d. True, column-equivalent matrices are matrices that can be obtained from each other by performing elementary column operations on the other.

3 0
1 year ago
Patient A receives 3 times the amount of a certain medication as Patient B. The two doses add to 200 milligrams. What amount of
EastWind [94]

Answer:

Patient A - 150 mg

Patient B - 50 mg

Step-by-step explanation:

Since patient A gets three times more, 50 times 3 is 150. 150 plus 50 is 200, therefore, patient A gets 150 mg and patient B gets 50 mg. I hope this helps :)

5 0
1 year ago
Rewrite the expression (3a^2b^3c^5)/(8x^4y^3z)so that it has no denominator. (note: do not use a fraction line in your answer. a
Gemiola [76]
Use:

\dfrac{1}{a}=a^{-1}\\\\\dfrac{1}{a^n}=a^{-n}

\dfrac{3a^2b^3c^5}{8x^4y^3z}=3a^2b^3c^5\cdot8^{-1}x^{-4}y^{-3}z^{-1}

Answer: 3"8^-1a^2b^3c^5x^-4y^-3z^-1
5 0
1 year ago
Read 2 more answers
What is a simplified form of -(14x)^0y^-7z
GenaCL600 [577]
Anything to the power of 0 is one.

Therefore we have:

(1)(y^-7z)

Which simplifies to:

y^-7z
3 0
2 years ago
Read 2 more answers
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