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anastassius [24]
2 years ago
13

HELPPPPPPPPPPPP]PPPPPP​

Mathematics
1 answer:
Alinara [238K]2 years ago
6 0
1) negative linear association 2)non linear association (haven’t done in a while so not completely sure)
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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
Veronica’s velocity was measured as 4.3 m/s. She displaced 20 meters in 4.7 seconds. Which piece of information is missing for t
telo118 [61]

We are given displacement = 20 meters.

Time given = 4.7 seconds.

Velocity = 4.3 m/s.

Please note : Velocity is a vector quantity. A vector quantity depends on magnitude and direction as well.

We are given magnitude of displacement = 20 meter and time 4.7 seconds but the direction is missing there.

If it would be in forward direction it would be positive and if it would be in backward direction, it would be of negative.

Therefore, <u>"B)the direction"</u> is correct option.

4 0
3 years ago
Read 2 more answers
Geometry math question no Guessing and Please show work thank you
Fiesta28 [93]

Theorem

In a triangle, the measure of an exterior angle equals the sum of the measures of its two remote interior angles.

x + y = z

4n - 18 + n + 8 = 133 - 6n

5n - 10 = 133 - 6n

11n = 143

n = 13

z = 133 - 6n = 133 - 6(13) = 133 - 78 = 55

Answer: C. 55

3 0
3 years ago
Read 2 more answers
Yesterday your bus ride to school took 10 minutes. Today your bus ride took 12 minutes. What is the percent of change?
Readme [11.4K]
The percent of increase from 10 to 12 is 20 %. 10 x 1.2 = 12.

Hope This Helps You!
<span>Good Luck Studying :)</span>
5 0
3 years ago
Read 2 more answers
Find the greatest common factor of 7 and 21.
sertanlavr [38]

Answer: 7

Step-by-step explanation:

Factors of 7 are, 1, and 7. The factors of 21 are, 1, 3, 7, and 21, making 7 the gcf.

6 0
3 years ago
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