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Tpy6a [65]
3 years ago
11

How to make a graph of an exponential function that shows exponential decay and has a y intercept of 2

Mathematics
1 answer:
Sliva [168]3 years ago
6 0

Answer:

f(x)=2e^{-kx}

in a graph the x value at the y intercept is 0

f(x)=Ae^{-kx}  is a typical decay function

if x = 0  thus e^{-kx} = 1

so at 0 the function value would be A

f(x)=2e^{-kx}

Step-by-step explanation:

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Step-by-step explanation:

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In a study of 250 adults, the mean heart rate was 70 beats per minute. Assume the population of heart rates is known to be appro
klasskru [66]
This is a good question!

The steps are like follows:

Form the confidence level (99%), we calculate the "alpha" value
alpha=1-(99/100)=0.01

Now, calculate the critical probability (p-start)
p*=1-(alpha/2)=1-(0.01/2)=0.995

z-score could be calculated from p*,,,
z-score=<span>2.57583
(http://www.socscistatistics.com/tests/ztest/zscorecalculator.aspx)

Now, calculate the Margin of Error:
</span>standard<span> deviation = s
number of adults = n
</span><span>
ME=(z*s)/(sqrt n)=(</span><span>2.57583*12)/(sqrt 250) = 1.955

The confidence interval = mean +or- ME
                                      = 70+1.955</span>  or  70-1.955


So that we can conclude that <span>the 99% confidence interval for the mean beats per minute is 68.045 and 71.955

</span>

I hope you got the idea!

If you still need help, just let me know!





4 0
3 years ago
Verify the following identity: (csc theta -cot theta )/(sec theta -1) A. sec theta B. cos theta C. cot theta D. sin theta
alexdok [17]

Answer:

C. cot theta

Step-by-step explanation:

(csc theta -cot theta )/(sec theta -1)

csc = 1/ sin

cot = cos / sin

sec = 1 / cos

Let x = theta

(1/ sin x -cos x / sin x )/(1/ cos x -1)

Getting a common denominator in the denominator and combining terms

(1- cos x)/ sinx  / ( 1 - cos x) / cos x

(1- cosx)      (1- cosx)

----------- ÷ ------------

sinx            cos x

Copy dot flip

(1- cosx)       cosx

----------- * ------------

sinx            1 -cos x

Cancel like terms

cos x / sin x

cos / sin = cot

cot x

cot theta

3 0
3 years ago
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