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bagirrra123 [75]
3 years ago
6

How would you explain the relationship between an exponential function and a logarithmic function to an English major you are tu

toring in math? Can you give me a real life example of it?
Mathematics
1 answer:
natima [27]3 years ago
3 0
This is a really interesting question!! exponential functions and logarithmic functions are actually inverses functions; the way to "undo" logarithms is by exponents, the way to "undo" exponents is by logarithms. an exponent tells you how many times you need to multiply a value; logarithms ask what exponent you need to get a certain value. you could use logarithms and exponents to calculate interest rates, as a real life example. they can also be used in calculating population growth or the half-life of an organism in biology.
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Galina-37 [17]
The anwser is 1 ………..:
5 0
2 years ago
I need to solve for x this is easy I don't have the time to do it though ​
Elis [28]
I think it’s x = 9 hope it helps :D
3 0
2 years ago
Read 2 more answers
The magic dragon cigarette company claims that their cigarettes contain an average of only 10 mg of tar. a random sample of 100
9966 [12]

Answer:

t=\frac{11.5-10}{\frac{4.5}{\sqrt{100}}}=3.333    

Critical value

The significance is 5% so then \alpha=0.05 and \alpha/2=0.025 then the critical value for this case would be z_{\alpha/2}= 1.64. Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true mean is higher than 10 mg

P value

The p value would be given

p_v =P(z>3.333)=0.000434  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 10 mg

Step-by-step explanation:

Information given

\bar X=11.5 represent the sample mean

\sigma=4.5 represent the population standard deviation

n=100 sample size  

\mu_o =10 represent the value that we want to test

\alpha=0.05 represent the significance level for the hypothesis test.  

t would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true mean is higher than 10mg, the system of hypothesis would be:  

Null hypothesis:\mu \leq 10  

Alternative hypothesis:\mu > 10  

the statistic for this case would be given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Replacing we got:

t=\frac{11.5-10}{\frac{4.5}{\sqrt{100}}}=3.333    

Critical value

The significance is 5% so then \alpha=0.05 and \alpha/2=0.025 then the critical value for this case would be z_{\alpha/2}= 1.64. Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true mean is higher than 10 mg

P value

The p value would be given

p_v =P(z>3.333)=0.000434  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 10 mg

6 0
2 years ago
I need help !!!!!!!!!​
german

Answer:

a. 14

b. 10

c. 11

Step-by-step explanation:

You need to use the distance formula.

\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2}}

Ex: (1,2) and (1,16)

You will need to lable each

1st Point: 1 will be x_{1} and 2 will be y_{1}

2nd Point: 1 will be x_{2} and 16 will be y_{2}

Then you will need to plug it in

\sqrt{(1-1)^{2} +(16-2)^{2}}

5 0
2 years ago
The sum of two numbers is 8 and<br> their difference is 2.
Dominik [7]

Answer:

The numbers are 3 and 5.

Step-by-step explanation:

Hope that helped.

5 0
2 years ago
Read 2 more answers
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