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Anika [276]
2 years ago
13

The weights of newborn babies are distributed normally, with a mean of approximately 105 Oz and a standard deviation of 15 Oz. I

f a newborn baby is selected at random. What if the probably that the baby weighs less than 150 Oz? help please!! Also I need to round answer to nearest thousandth
Mathematics
1 answer:
ICE Princess25 [194]2 years ago
7 0

Answer:

0.999 = 99.9% probability that the baby weighs less than 150 Oz.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The weights of newborn babies are distributed normally, with a mean of approximately 105 Oz and a standard deviation of 15 Oz.

This means that \mu = 105, \sigma = 15

What if the probabability that the baby weighs less than 150 Oz?

This is the pvalue of Z when X = 150. SO

Z = \frac{X - \mu}{\sigma}

Z = \frac{150 - 105}{15}

Z = 3

Z = 3 has a pvalue of 0.999

0.999 = 99.9% probability that the baby weighs less than 150 Oz.

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Four times the amount of money in my bank account plus $200 is still two
ioda

Answer:

$700

Step-by-step explanation:

So, I like to extract the information we know and form it into an equation.

So we know that after multiplying what you have in the bank by 4, then add 200 dollars you get two thousand dollars less than a fourth of what's in your dad's bank account.

Your dad has $20,000 in the bank.

Before we write the equation let's find what two thousand less than a fourth of 20,000 is.

20,000/4 = 5,000

Now, 5,000 - 2,000 = 3,000

Ok let's say x is how much money you have

So:

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we can isolate the variable by subtracting 200 from both sides

4x = 2,800

then we can divide by 4 on each side

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4 0
3 years ago
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Answer:

(a)6m \le - 36 and m + 24 > 20

Step-by-step explanation:

Required

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m >-4 implies that m = -3,-2,-1,0.....

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8 0
2 years ago
a drink is made by mixing pineapple juice orange juice and lime juice in the ratio 2:7:3 Sally makes 600ml of the fruit drink ho
satela [25.4K]
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3 years ago
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Answer:

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3 years ago
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