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yanalaym [24]
3 years ago
5

In an all boys school, the heights of the student body are normally distributed with a mean of 69 inches and a standard deviatio

n of 3 inches. Using the empirical rule, determine the interval of heights that represents the middle 95% of male heights from this school.
Mathematics
1 answer:
slega [8]3 years ago
7 0

Answer:

Two intervals are 63 and 75

Step-by-step explanation:

Given:

Mean of students (μ) = 69 inches

Standard deviation (σ) = 3 inches μ

Find:

Interval of heights (95%) using empirical rule

Computation:

Interval of heights (95%) using empirical rule:

⇒ μ – 2σ = 69 - 2(3)

⇒ μ – 2σ = 69 - 6

⇒ μ – 2σ = 63

⇒ μ + 2σ = 69 + 2 (3)

⇒ μ + 2σ = 69 + 6

⇒ μ + 2σ =  75

Two intervals are 63 and 75

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Ivanshal [37]

Answer:

-35x + 40

Step-by-step explanation:

  1. Re-arrange: -5(7x - 8)
  2. Apply the distributed property, so it now looks like this: -35x - -40
  3. Simplify: -35x + 40

I hope this helps!

3 0
3 years ago
The average score of those students who passed a test was 65, the average score of those who did not pass was 35, and the overal
FrozenT [24]

Answer:

60%

Step-by-step explanation:

To find the total pass = 65 * number of student that passed, let it be be represented by P and number of students that failed F

Total pass = 65p

And total fail = 35F

For the total pass and failure will be 53(P+F)

Equating to total pass and total fail

65P +35F = 53( P+ F)

65P+35F = 53P+ 53F

65P-53P =53F-35F

12P=18F

2P= 3F

Hence there are 3 passing scores for every 2 failure scores, hence there are a multiple of 5 scores and the same multiple of 3 passing scores.

3/5 * 100= 60%

4 0
3 years ago
Which property is shown in the following equation?
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C is your answer…………
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Anika [276]

Answer:

\boxed{3^5}

Step-by-step explanation:

<em>Hey there!</em>

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4 years ago
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