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2 years ago

Function f(x) represents the population of bacteria x hours after 9 a.m. What does F(2)-F(1) represent?

Mathematics

1 answer:

bezimeni [28]2 years ago

8 0

Answer:

f(2)-f(1) => Difference between the count of bacteria between 11AM and 10AM

Step-by-step explanation:

Here x is the number of hours after 9AM

f(2) means the count of bacteria after 2 hours of 9AM i.e. at 11AM

f(1) means the count of bacteria after 1 hour of 9AM i.e. at 10 AM

f(2) - f(1) will give us the difference between the count of bacteria between 11 AM and 10 AM

Hence,

f(2)-f(1) => Difference between the count of bacteria between 11AM and 10AM

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2 years ago

A question that can be answered by collecting data that will vary. "On average, how old are the people who live in my building?"

8_murik_8 [283]

I believe that is C. Statistical question.

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2 years ago

I rlly need help with this :(

kobusy [5.1K]

Using the normal distribution, it is found that:

a) The pilot is at the 72th percentile.

b) 19.13% of pilots are unable to fly.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 72.6, \sigma = 2.7$ .

Item a:

The percentile is the <u>p-value of Z when X = 74.2</u>, hence:

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

$Z = \frac{74.2 - 72.6}{2.7}$

Z = 0.59

Z = 0.59 has a p-value of 0.7224.

72th percentile.

Item b:

The proportion that is able to fly is the <u>p-value of Z when X = 78 subtracted by the p-value of Z when X = 70</u>, hence:

X = 78:

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

$Z = \frac{78 - 72.6}{2.7}$

Z = 2

Z = 2 has a p-value of 0.9772.

X = 70:

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

$Z = \frac{70 - 72.6}{2.7}$

Z = -0.96

Z = -0.96 has a p-value of 0.1685.

0.9772 - 0.1685 = 0.8087 = 80.87%.

Hence the percentage that is unable to fly is:

100 - 80.87 = 19.13%.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

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1 year ago

Function f(x) represents the population of bacteria x hours after 9 a.m. What does F(2)-F(1) represent?​

Function f(x) represents the population of bacteria x hours after 9 a.m. What does F(2)-F(1) represent?