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krok68 [10]
3 years ago
14

Evaluate 4 - 6 + 9 - 3

Mathematics
1 answer:
omeli [17]3 years ago
3 0
4 - 6 + 9 - 3 

= 4
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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
What is parentheses one fourth parentheses cubed three
Anna71 [15]

Answer:

(1/4) ^3 = 0.0833333333

3 0
3 years ago
Special taxes may be placed on an estate.<br> true<br> or<br> false
kondor19780726 [428]

Answer:false

Step-by-step explanation:

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3 years ago
A football stadium has 2,500 seats. For the first game of the season, 2,075 seats were filled. Which percent of seats were fille
malfutka [58]
83 % of the seats

2075 / 2500 x 100
5 0
2 years ago
Read 2 more answers
Y = 7x is that a direct variation or no
natta225 [31]

Answer:

Step-by-step explanation:

yes i think so

5 0
3 years ago
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