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ikadub [295]
3 years ago
14

How does the function notation compare with the standard notation?

Mathematics
1 answer:
larisa [96]3 years ago
3 0
Therefore, function notation is a way in which a function can be represented using symbols and signs. Function notation is a simpler method of describing a function without a lengthy written explanation. The most frequently used function notation is f(x) which is read as “f” of “x”.
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A particular bacterium population is found to double the in 20 minutes. If a laboratory culture
insens350 [35]

The bacteria present at t=37 minutes is found to be 8.40, with no change in growth rate.

<h3>What does population growth exponentially mean?</h3>

When a population's per capita growth rate remains constant, regardless of population size, exponential growth occurs, causing the population to grow exponentially as the population increases.

Given:

P = 340

It has been discovered that a specific bacterial population doubles in 20 minutes.

k = 2/20 = 0.1

t = 37 minutes

We know that,

P = P₀e^{kt}

340   = P₀(e^{0.1*37})

340 =P₀(40.44)

P₀ = 8.40

As a result, the bacteria that will be present in t=37 minutes is found to be 8.40 with no change in growth rate.

Learn more about exponential growth here:

brainly.com/question/13223520

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4 0
1 year ago
If the perimeter of the rectangle is 120 inches, what is the value of x
xz_007 [3.2K]
The value of x would equal 55
4 0
3 years ago
Read 2 more answers
In Mr. Romero's class is 25 students, 13 of them participate in school sports. What percent of students participate in school sp
never [62]

Just do this to find the percentage:

13/25 * 100%

= 0.52 *100%

= 52%

7 0
3 years ago
(9-6i) x m = 9 - 6i <br> What is m? <br> 0<br> 1<br> 9+6i<br> -9+61
Tanya [424]

Answer:

1

Step-by-step explanation:

it should be 1. I believe this is the identity property.

7 0
3 years ago
A simple random sample from a population with a normal distribution of 98 body temperatures has x =98.90 °F and s =0.68°F. Const
Ludmilka [50]

Answer:

0.609 \leq \sigma \leq 0.772  

And the best conclusion would be:

D. This conclusion is safe because 1.40 °F is outside the confidence interval.

Step-by-step explanation:

1) Data given and notation  

s=0.68 represent the sample standard deviation  

\bar x =98.90 represent the sample mean  

n=98 the sample size  

Confidence=90% or 0.90  

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population mean or variance lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .  

2) Calculating the confidence interval  

The confidence interval for the population variance is given by the following formula:  

\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}  

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:  

df=n-1=98-1=97  

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical values.  

The excel commands would be: "=CHISQ.INV(0.05,97)" "=CHISQ.INV(0.95,97)". so for this case the critical values are:  

\chi^2_{\alpha/2}=120.990  

\chi^2_{1- \alpha/2}=75.282  

And replacing into the formula for the interval we got:  

\frac{(97)(0.68)^2}{120.990} \leq \sigma \leq \frac{(97)(0.68)^2}{75.282}  

0.371 \leq \sigma^2 \leq 0.596  

Now we just take square root on both sides of the interval and we got:  

0.609 \leq \sigma \leq 0.772  

And the best conclusion would be:

D. This conclusion is safe because 1.40 °F is outside the confidence interval.

3 0
3 years ago
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