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ozzi
3 years ago
8

A geologist visits 40 volcanoes in Alaska and California. 15% of the volcanoes are in California.

Mathematics
1 answer:
kotegsom [21]3 years ago
3 0

Answer:

<h2>Most explained:</h2>

40% = 100%

15 = (100% - 15% = 85%) 85% in Alaska

California = 15% of 40 = (0.15 x 40) = 6

Alaska = 85% of 40 = (0.85 x 40) = 34

<h2>The simple way (or the way i found it simple):</h2>

<h3>40 - 15 = 34</h3><h3>15% of 40 = 6</h3>

<h3>(I found the simple way after i solve the first way)</h3>

Bye, i hope this helps.

<h3 />

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Hope this helps <3

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What is the quotient of the division below?<br> 3387-<br> 45<br> 46<br> 48<br> 49
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Step-by-step explanation:

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How to solve inter quartile range of the given data set? 3,9,12,15,16,18,21
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Answer:

Step-by-step explanation:

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Question 12 down at the bottom of the file PDF<br><br> Im confuse on question 12
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3 years ago
About 10% of people in the United States are left handed. Suppose we take a sample of 120 U.S. Residents, and let X = the number
olganol [36]

Answer:

1) E(X) = np = 120*0.1 =12

SD(X) = \sqrt{np(1-p)}= \sqrt{120*0.1*(1-0.1)} =3.286

For this case we can interpret that the expected variation around the mean is about 3.3 people approximated

2) P(X\geq 16)

And we can use the normal approximation given by:

X \sim N(12, \sigma =3.286)

And we can use the z score formula given by:

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

And if we find the z score for 16 we got:

z = \frac{16-12}{3.286}= 1.217

And we can find this probability using the normal standard distribution or excel and we got:

P(Z>1.217) = 0.112

3) For this case we can conclude that the probability to find 16 or more individuals left handed in a sample of 120 is about 0.112 or 11.2%

Step-by-step explanation:

Let X represent the random variable for the number of residents who are left handed

And for this case we can model this variable with this distirbution:

X\sim Binom(n= 120 , p =0.1)

Part 1

The mean is given by:

E(X) = np = 120*0.1 =12

And the deviation would be:

SD(X) = \sqrt{np(1-p)}= \sqrt{120*0.1*(1-0.1)} =3.286

For this case we can interpret that the expected variation around the mean is about 3.3 people approximated

Part 2

We want to calculate this probability:

P(X\geq 16)

And we can use the normal approximation given by:

X \sim N(12, \sigma =3.286)

And we can use the z score formula given by:

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

And if we find the z score for 16 we got:

z = \frac{16-12}{3.286}= 1.217

And we can find this probability using the normal standard distribution or excel and we got:

P(Z>1.217) = 0.112

Part 3

For this case we can conclude that the probability to find 16 or more individuals left handed in a sample of 120 is about 0.112 or 11.2%

7 0
3 years ago
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