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Inessa05 [86]
3 years ago
12

The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. a. Find the pro

bability of a pregnancy lasting 307 days or longer. b. If the length of pregnancy is in the lowest 2​%, then the baby is premature. Find the length that separates premature babies from those who are not premature.
Mathematics
1 answer:
Bogdan [553]3 years ago
4 0

Answer:

Step-by-step explanation:

Let X be the length of pregnancy.

X is N(268, 15)

a) Prob of pregnancy lasting 307 days or longer

= P(X>307) = P(Z>\frac{307-268}{15} )\\=P(Z>2.6)\\

=0.5-0.4953

=0.0047

b) Lowest 2% is 2nd percentile

Z=-2.55

X score = 268-2.55(15)

= 229.75 days

If length of days >230 days then it is not premature.

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vesna_86 [32]

Answer:

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Step-by-step explanation:

For a general quadratic function the form is:

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For the function

f(x) = 3x ^ 2 -4x -6

Take common factor 3.

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Take the value of b and divide it by 2. Then, the result obtained squares it.

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(\frac{b}{2})^2=\frac{4}{9}

Add and subtract \frac{4}{9}

f(x) = 3([x ^ 2 -\frac{4}{3}x +\frac{4}{9}]- 2-\frac{4}{9})

Write the expression of the form

f(x) = (x-\frac{b}{2})^2 +k

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The vertex is (\frac{2}{3}, -\frac{22}{3})

3 0
3 years ago
And those... sorryyyyyy!:(
sasho [114]

Answer:

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3 years ago
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<u>Positive</u> numbers are located to the right of zero on the <u>number</u> line

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