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oksano4ka [1.4K]
3 years ago
5

6) A plane is preparing to land. It is at an altitude of

Mathematics
1 answer:
slavikrds [6]3 years ago
3 0

Answer:

b

Step-by-step explanation:

4800-1400 because 200*7 equals 1400.

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The length of human pregnancies from conception to birth follows a distribution with mean 266 days and standard deviation 15 day
Katena32 [7]

Answer:

a) 81.5%

b) 95%

c) 75%

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 266 days

Standard Deviation, σ = 15 days

We are given that the distribution of  length of human pregnancies is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(between 236 and 281 days)

P(236 \leq x \leq 281)\\\\= P(\displaystyle\frac{236 - 266}{15} \leq z \leq \displaystyle\frac{281-266}{15})\\\\= P(-2 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -2)\\= 0.838 - 0.023 = 0.815 = 81.5\%

b) a) P(last between 236 and 296)

P(236 \leq x \leq 281)\\\\= P(\displaystyle\frac{236 - 266}{15} \leq z \leq \displaystyle\frac{296-266}{15})\\\\= P(-2 \leq z \leq 2)\\\\= P(z \leq 2) - P(z < -2)\\= 0.973 - 0.023 = 0.95 = 95\%

c) If the data is not normally distributed.

Then, according to Chebyshev's theorem, at least 1-\dfrac{1}{k^2}  data lies within k standard deviation of mean.

For k = 2

1-\dfrac{1}{(2)^2} = 75\%

Atleast 75% of data lies within two standard deviation for a non normal data.

Thus, atleast 75% of pregnancies last between 236 and 296 days approximately.

7 0
3 years ago
Margaret is going on vacation to Alaska. She has 13 sweaters and needs to choose 6 to take with her on vacation. How many ways c
spayn [35]

Answer:

1,716

Step-by-step explanation:

I just took the quiz.

8 0
2 years ago
What is the difference in meaning between |-3| and -3.
77julia77 [94]

Answer: the lines on the outside mean absolute value and the absolute value of -3 is 3

Step-by-step explanation:

5 0
3 years ago
What is 683 divided by 5 (show all work)
Zarrin [17]

Answer:

136.6.

Step-by-step explanation:

     

5 ) 6 ¹8 ³3 . ³0

     1  3  6 .   6      <----------answer.

3 0
2 years ago
Rotate this figure 270 degrees clockwise
Lemur [1.5K]

Answer:

it's the third answer

Step-by-step explanation:

360 degrees is a full circle so you subtract the 90 degrees from it and get 270. The only turn it would need to be a full 360 is 90 degrees. hope this helps

6 0
2 years ago
Read 2 more answers
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