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frez [133]
3 years ago
10

The distribution of the amount of money spent by students on textbooks in a semester is approximately normal in shape with a mea

n of 349 and a standard deviation of 24. According to the standard deviation rule, approximately 95% of the students spent between _____$ and _____$ on textbooks in a semester.
Mathematics
1 answer:
zheka24 [161]3 years ago
8 0

Answer:

$301 - $397

Step-by-step explanation:

Using the Empirical rule

1) 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

2)95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

3)99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

From the above question,

Mean = 349 , standard deviation = 24.

Confidence interval = 95%

Using 2)95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

μ – 2σ

= 349 - 2(24)

= 349 - 48

= 301

μ + 2σ

349 + 2(24)

= 349 + 48

= 397

Therefore, according to the standard deviation rule, approximately 95% of the students spent between $301 and $397 on textbooks in a semester.

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bija089 [108]

Answer:

275

Step-by-step explanation:

Since there are 4 mm of B for every 5 mm of A that means there are 9 parts in that. Dividing 495 by 9 you get 55 which is how much of each part of the compound there is. Since there are 5 mm of A in each part of A you multiply 5 by 55 to get 275 which is your answer.

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The diagonals of quadrilateral ABCD intersect at point K. Is each statement needed to prove that ABCD is a parallelogram?
den301095 [7]

Answer:

Therefore to prove that ABCD is a parallelogram we need,

BK = DK

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Step-by-step explanation:

Given:

The diagonals of quadrilateral ABCD , intersect at point K.

To Find:

Which statement needed to prove that ABCD is a parallelogram?

Solution:

For a Quadrilateral to be a Parallelogram,

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Here Diagonals intersect at K

∴ BK = DK            ......K bisect Diagonal BD

∴ CK = AK            ......K bisect Diagonal AC

Therefore to prove that ABCD is a parallelogram we need,

BK = DK

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In below formula for arithmetic sequence you can fill in a=7 (start), d=2 (interval) and n=35 (nr terms) and you get

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