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tatuchka [14]
3 years ago
14

How do you simplify polynomials

Mathematics
1 answer:
Allushta [10]3 years ago
4 0
Hopefully that helps you out

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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
I’m so confused please help I can’t afford another bad grade
iogann1982 [59]

Answer:

2

Step-by-step explanation:

x / (3y)

Let x = 18 and y = 3

18 / ( 3*3)

Determine the denominator first

18 / ( 9)

Divide

2

8 0
2 years ago
The points (4,1 ) and (x,-6 lie on the same line. If the slope of the line is 1,what is the value of x?
konstantin123 [22]

Answer:

wnsbsbwbqbqbqbqbqjqj

Step-by-step explanation:

snnaakaknananananabababababababababababa

nansskqlnzelsksuqqhnqqko

6 0
3 years ago
Use the line of best fit to predict the percentage sales increase when the
agasfer [191]

Answer:

107%

Step-by-step explanation:

because if we look at the x-axis, Discount (%)

and look at 35 which is between 30 and 40

and start going up we get near 100

so

107%

or?

we use the two points and with that we find the slope first

\frac{y2-y1}{x2-x1}

plug in (20,62) and (10,32)

\frac{32-62}{10-20}

equals

\frac{-30}{-10}

simplify to 3

then we use

y - y1 = m (x - x1)

y - 62 = 3 (x - 20)

y - 62 = 3x - 60

add 60 from both sides

y - 2  = 3x

add 2 to both sides

y=3x+2

then plug in 35

y= 3(35) + 2

which is

107

6 0
3 years ago
Read 2 more answers
Our math team had m students last year, but this year it has already n students! By what percent did the number of students grow
AlekseyPX
For this case we are going to assume the following:
 m: whole number greater than zero.
 n: integer greater than zero.
 Where,
 n> m
 According to these assumptions, the percentage of growth is given by the following formula:
 (n / m) * 100 - 100
 Answer:
 
the number of students did grow by:
 
(n / m) * 100 - 100
4 0
3 years ago
Read 2 more answers
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