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Makovka662 [10]
3 years ago
15

In your BIO 111 course, you learn that human hair can vary in diameter, but one estimate of the average diameter is 50 microns o

r 50 x 10-6 meter. How many 10-nanometer (is 10 x 10-9) particles could be stacked across the diameter of a human hair?
Mathematics
1 answer:
Dafna11 [192]3 years ago
4 0

Answer:

5000 particles of size 10 nanometer should be stacked

Step-by-step explanation:

Average diameter of the of the human hair = 50 micron = 50 × 10⁻⁶ m

Now,

let the number of 10 nanometer i.e 10 × 10⁻⁹ m particle be 'n'

thus,

n × 10 × 10⁻⁹ m = 50 × 10⁻⁶ m

Therefore to find the number of 10 nanometer i.e 10 × 10⁻⁹ m particle,

n = \frac{50\times10^{-6}}{10\times10^{-9}}

or

n = 5000

Hence,

5000 particles of size 10 nanometer should be stacked

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A forestry researcher wants to estimate the average height of trees in a forest near Atlanta, Georgia. She takes a random sample
marusya05 [52]

Answer:

The margin of error for her confdence interval is of 0.3757.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 18 - 1 = 17

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.8982

The margin of error is:

M = T\frac{s}{\sqrt{n}}

In which s is the standard deviation of the sample and n is the size of the sample.

Standard deviation of 0.55 meters.

This means that s = 0.55

What is the margin of error for her 99% confidence interval?

M = T\frac{s}{\sqrt{n}}

M = 2.8982\frac{0.55}{\sqrt{18}}

M = 0.3757

The margin of error for her confdence interval is of 0.3757.

7 0
2 years ago
A company is paying a local television station to run its commercials. The cost for running commercials is a one-time campaign f
Margarita [4]
The y-intercept is the value of y when x is equal to zero. From the equation,

y = 500 + 50x

the y-intercept is calculated by:

y = 500 + 50(0) = 500

Therefore, the correct answer is option B. The y-intercept is 500; it represents the one-time campaign fee.
8 0
2 years ago
Which expression is equivalent
Rudik [331]

Answer:

the answer is 1/27. C :))

6 0
2 years ago
What is 5/14+1/6 I really need help
-Dominant- [34]
First thing to do, when you have to add 2 fractions, you have to make both denominators equal. 14/6 = 0.84, so can't multiply or divide any fraction by a whole number to get the other denominator.
So, you multiply each fraction by the denominator of the other fraction. Which means that you multiply 5/14 by the denominator of 1/6 which is 6, and you multiply 1/6 by the denominator of 5/14 which is 14.
5/14 + 1/6 = 30/84 + 14/84
Then you join both fractions to make them under one denominator, since both denominators are equal.
30/84 + 14/84 = (30+14)/84 = 44/84.
Now, you need to simplify the fraction: you divide both numerator and denominator by 4:
44/84 = 11/21

So 5/14 + 1/6 = 11/21

Hope this Helps! :)

6 0
3 years ago
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Write and solve the following expression:<br><br>The sum of 7 and twice a number is 15
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8 0
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