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sammy [17]
3 years ago
8

How much difference do a couple of weeks make for birth weight? Late-preterm babies are born with 34 to 36 completed weeks of ge

station. The distribution of birth weights (in grams) for late-preterm babies is approximately N(2750, 560).
1. What is the probability that a randomly chosen late-preterm baby would have a low birth weight (less than 2500 grams)? Round your answer to 4 decimal places.
2. What is the probability that a randomly chosen late-preterm baby would have a very low birth weight (less than 1500 grams)? Round your answer to 4 decimal places.
Mathematics
1 answer:
stiks02 [169]3 years ago
3 0

Answer:

a) 0.3277

b) 0.0128

Step-by-step explanation:

We are given the following information in the question:

N(2750, 560).

Mean, μ = 2750

Standard Deviation, σ = 560

We are given that the distribution of distribution of birth weights is a bell shaped distribution that is a normal distribution.

Formula:

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

a) P (less than 2500 grams)

P(x < 2500)

P( x < 2500) = P( z < \displaystyle\frac{2500 - 2750}{560}) = P(z < -0.4464)

Calculation the value from standard normal z table, we have,  

P(x < 2500) = P(z < -0.4464) = 0.3277 = 32.77\%

b) P ((less than 1500 grams)

P(x < 1500)

P( x < 1500) = P( z < \displaystyle\frac{1500 - 2750}{560}) = P(z < -2.2321)

Calculation the value from standard normal z table, we have,  

P(x < 1500) = P(z < -2.2321) = 0.0128 = 1.28\%

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The length of a segment is the distance between its endpoints.

  • \mathbf{AB = 3\sqrt{2}}
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<u>(a) Length of AB</u>

We have:

\mathbf{A = (1,2)}

\mathbf{B = (4,5)}

The length of AB is calculated using the following distance formula

\mathbf{AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}

So, we have:

\mathbf{AB = \sqrt{(1 - 4)^2 + (2 - 5)^2}}

\mathbf{AB = \sqrt{18}}

Simplify

\mathbf{AB = 3\sqrt{2}}

<u>(b) Are AB and CD congruent</u>

First, we calculate the length of CD using:

\mathbf{CD = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}

Where:

\mathbf{C = (2, 4)}

\mathbf{D = (2, 1)}

So, we have:

\mathbf{CD = \sqrt{(2 -2)^2 + (4 - 1)^2}}

\mathbf{CD = \sqrt{9}}

\mathbf{CD = 3}

By comparison

\mathbf{CD \ne AB}

Hence, AB and CD are not congruent

<u>(c) AB bisects CD or not?</u>

If AB bisects CD, then:

\mathbf{AB = \frac 12 \times CD}

The above equation is not true, because:

\mathbf{3\sqrt 2 \ne \frac 12 \times 3}

Hence, AB does not bisect CD

<u>(d) CD bisects AB or not?</u>

If CD bisects AB, then:

\mathbf{CD = \frac 12 \times AB}

The above equation is not true, because:

\mathbf{3 \ne \frac 12 \times 3\sqrt 2}

Hence, CD does not bisect AB

Read more about lengths and bisections at:

brainly.com/question/20837270

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3 years ago
If x = -3 and y = 4 find the value of : x(3x + 4y)
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Answer:

-21

Step-by-step explanation:

(−3)((3)(−3)+(4)(4))

=(−3)((3)(−3))+(−3)((4)(4))

=27−48

=−21

3 0
4 years ago
Write or draw to explain two different ways to find the difference for 12-3
nikitadnepr [17]
You can do the normal 12 - 3 = 9

Or 12 + (-3) = 9
5 0
4 years ago
A LINE SEGMENT IS 5 INCHES MORE THAN FOUR TIMES THE LENGTH OF ANOTHER. THE DIFFERENCE IN THEIR LENGTHS IS 35 INCHES. HOW LONG AR
Georgia [21]
<h3>Answer:</h3>

One line segment is 10 cm and the other one is 45 cm


Hope this helps you!

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6 0
3 years ago
Bargains Galore marked down a $82 cappuccino machine to $72. Calculate the following (if necessary, round your answer for markdo
MakcuM [25]

Answer:

12.2%

Step-by-step explanation:

82 · \frac{100-x}{100} = 72         <em>When multiplied by a certain percent we get 72</em>  

82(100-x) = 7200  

                            <em>100(A whole as you may say) - *a percent* = the markdown</em>

8200-82x=7200

                         

82x = 1000

x ≈ 12.2

Tell me if you need further explanation

8 0
3 years ago
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