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Zolol [24]
3 years ago
9

Red blood cells are usually about 8 x 10 meter in diameter. What is that number written in standard notation?

Mathematics
2 answers:
jasenka [17]3 years ago
8 0

Answer: 0.000008

Step-by-step explanation:

So it says 10 to the -6 power...

10*-10*-10*-10*-10*-10*-10

0.000001

Then you multiply that by 8

0.000008

Hope this helps!

Fittoniya [83]3 years ago
8 0

Answer:

Step-by-step explanation:

what they said

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Read 2 more answers
Based on historical data, your manager believes that 37% of the company's orders come from first-time customers. A random sample
fomenos

Answer:

0.6214 = 62.14% probability that the sample proportion is between 0.26 and 0.38

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

37% of the company's orders come from first-time customers.

This means that p = 0.37

A random sample of 225 orders will be used to estimate the proportion of first-time-customers.

This means that n = 225

Mean and standard deviation:

\mu = p = 0.37

s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.37*0.63}{225}} = 0.0322

What is the probability that the sample proportion is between 0.26 and 0.38?

This is the pvalue of Z when X = 0.38 subtracted by the pvalue of Z when X = 0.26.

X = 0.38

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

By the Central Limit Theorem

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

Z = \frac{0.38 - 0.37}{0.0322}

Z = 0.31

Z = 0.31 has a pvalue of 0.6217

X = 0.26

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

Z = \frac{0.26 - 0.37}{0.0322}

Z = -3.42

Z = -3.42 has a pvalue of 0.0003

0.6217 - 0.0003 = 0.6214

0.6214 = 62.14% probability that the sample proportion is between 0.26 and 0.38

5 0
2 years ago
Which point on the number line represents two and one-half degrees below zero?
olga_2 [115]

Answer:

B

Step-by-step explanation:

5 0
2 years ago
77th term for -10,-8,-6
sasho [114]

9514 1404 393

Answer:

 142

Step-by-step explanation:

The first term of this arithmetic sequence is -10. The common difference is -8-(-10) = 2. The n-th term is ...

  an = a1 +d(n -1)

  an = -10 +2(n -1) = 2n -12

Then the 77th term is ...

  a77 = 2(77) -12 = 154 -12

  a77 = 142

The 77th term is 142.

4 0
2 years ago
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