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Vedmedyk [2.9K]
2 years ago
10

Let f(x)=18/1+3^e-0.1x What is the point of maximum growth rate for the logistic function f(x)? Show all work. Round your answer

to the nearest hundredth
Mathematics
1 answer:
xz_007 [3.2K]2 years ago
5 0

Answer:

(0, 4.5)

Step-by-step explanation:

*The equation can be put into Desmos, to find the point, but the work to prove it is here*

f(x)=c/1+Ae^-Bx

Y=C

C=18      A=3      -B=-0.1

*Replace x with 0 in the equation, so you know 0 is the x value, and it leads you to the y value*

f(0)=18/1+3e^-o.1(0)

= 18/1+3e^0

=18/1+3(1)

=18/1+3

=18/4

=4.5

x=0    y=4.5

Maximum growth rate = (x,y) --> (0, 4.5)

Hope this helps:))!!

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Graph a line with a slope of 2/5 that contains the point(-2,4)
fomenos

Answer:

(-2, 4) (3, 6)

Step-by-step explanation:

I think this would be correct? haha

y2-y1/x2-x1

6-4=2,3--2(or 3+2 because 2 negatives make a positive)=5, so 2/5.

I hope this helps :)

7 0
3 years ago
A manufacturer produces a commodity where the length of the commodity has approximately normal distribution with a mean of 6.5 i
zavuch27 [327]

The probablity that the sample's mean length is greate than 6.3 inches is0.8446.

Given mean of 6.5 inches,standard deviation of 0.5 inches and sample size of 46.

We have to calculate the probability that the sample's mean length is greater than 6.3 inches is 0.8446.

Probability is the likeliness of happening an event. It lies between 0 and 1.

Probability is the number of items divided by the total number of items.

We have to use z statistic in this question because the sample size is greater than 30.

μ=6.5

σ=0.5

n=46

z=X-μ/σ

where μ is mean and

σ is standard deviation.

First we have to find the p value from 6.3 to 6.5 and then we have to add 0.5 to it to find the required probability.

z=6.3-6.5/0.5

=-0.2/0.5

=-0.4

p value from z table is 0.3446

Probability that the mean length is greater than 6.3inches is 0.3446+0.5=0.8446.

Hence the probability that the mean length is greater than 6.3 inches is 0.8446.

Learn more about probability at brainly.com/question/24756209

#SPJ4

5 0
2 years ago
What does the 75th term look like of 6,9,12
leva [86]

Answer:

228

Step-by-step explanation:

We are adding 3 each time so general rule is

Tn= 3n + 3

Therefore

T= 3(75)+3

= 228

3 0
3 years ago
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Hey can anyone tell me how to do slope
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The main thing is rise/run. y=mx+b that is the formula for slope
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50-60-79_%^*^%>?> ggg
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2 years ago
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