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3 years ago

A human hair is approximately 60 µm in diameter. Express this diameter in meters. Answer in units of m.

Mathematics

1 answer:

Grace [21]3 years ago

3 0

Answer:

The diameter in meters is $60\times 10^{-6}meters$

Step-by-step explanation:

Since we know that the prefix 'μ' stands for micro meaning

$1\mu =10^{-6}$

Thus human hair with diamerer of $60\mu m$ in meters is calculated as

$Diameter_{meters}=60\times 10^{-6}m$

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The axis of symmetry for the graph of the function is f(x) = x2 + bx + 10 is x = 6. What is the value of b?

joja [24]

Answer:

$b=-12$

Step-by-step explanation:

we have

$f(x)=x^{2}+bx+10$

we know that

The equation of a vertical parabola into vertex form is equal to

$y=a(x-h)^{2} +k$

where

(h,k) is the vertex of the parabola

and the axis of symmetry is equal to $x=h$

In this problem we have the axis of symmetry $x=6$

the x-coordinate of the vertex is equal to $6$

therefore

For $x=6+1=7$ -----> one unit to the right of the vertex

Find the value of $f(7)$

$f(7)=7^{2}+b(7)+10$

$f(7)=59+7b$

For $x=6-1=5$ -----> one unit to the left of the vertex

Find the value of $f(5)$

$f(5)=5^{2}+b(5)+10$

$f(5)=35+5b$

Remember that

$f(5)=f(7)$ ------> the x-coordinates are at the same distance from the axis of symmetry

$59+7b=35+5b$ ------> solve for b

$7b-5b=35-59$

$2b=-24$

$b=-12$

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2 years ago

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What value of g makes the equation 2g+6-14g=-6(g-5) true?

Sergeu [11.5K]

Answer:

g=-4

Step-by-step explanation:

2g+6-14g=-6(g-5)

-12g+6=-6g+30

-6g+6=30

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g=-4

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3 years ago

6a = 3/10 what is the answer

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The answer is 1/20 or 0.05

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1 year ago

What is the x to 7x+10=10x-6

scZoUnD [109]

7x+10=10x-6 x=8 do you need more help

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3 years ago

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According to a study done by Otago University, the probability a randomly selected individual will not cover his or her mouth wh

nirvana33 [79]

Answer:

47.52% probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth

Step-by-step explanation:

For each individual, there are only two possible outcomes. Either they cover their mouth when sneezing, or they do not. The probability of an individual covering their mouth when sneezing is independent of other individuals. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

According to a study done by Otago University, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267.

This means that $p = 0.267$