A nwuni, cherit and Orman entered into a business

Logarithmic and Exponential Forms of Equations In Exercise, write the logarithmic equation as an exponential equation, or vice v

marysya [2.9K]

Answer : The logarithmic equation of given exponential equation is, $\ln (0.0183)=-4$

Step-by-step explanation :

As we are given the exponential equation.

$e^{-4}=0.0183$

Formula used :

The inverse property of logarithm for the expression $\ln e^x$ is:

$\ln e^x=x$

Now we have to determine the logarithmic equation of given exponential equation.

$e^{-4}=0.0183$

Taking natural logarithm both sides as,

$\ln e^{-4}=\ln (0.0183)$

$-4=\ln (0.0183)$

$\ln (0.0183)=-4$

Thus, the logarithmic equation of given exponential equation is, $\ln (0.0183)=-4$

8 0

4 years ago

Brook has a balance on her credit card. At 12 months, she has a balance of $1667. She will pay that card off $54 per month.

Nonamiya [84]

Y intercept= 1667
slope = -54/1

6 0

4 years ago

5=1.62x+0.117. what does x equal?

Setler [38]

<span>3.01419753086 or approximately 3

</span>

8 0

3 years ago

Read 2 more answers

Examine this system of equations. What integer should the second equation be multiplied by so that when the two equations are ad

Zepler [3.9K]

Answer:

Step-by-step explanation:

we should multiply the 1/8 on the 2nd equation, by some number "n", such that our result will be equals to -3/4, namely the above x-coefficient but negative, or different sign, so (rest of the explanation is in the picture attached)

3 0

3 years ago

Find the P-value for the indicated hypothesis test. An airline claims that the no-show rate for passengers booked on its flights

trapecia [35]

Answer:

$p_v =P(z$

B. 0.2061

Step-by-step explanation:

1) Data given and notation

n=380 represent the random sample taken

X=19 represent the no-shows in the sample

$\hat p=\frac{19}{380}=0.05$ estimated proportion of no-shows in the sample

$p_o=0.06$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the no-show rate for passengers booked on its flights is less than 6%:

Null hypothesis: $p\geq 0.06$

Alternative hypothesis: $p < 0.06$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

3) Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.05-0.06}{\sqrt{\frac{0.06(1-0.06)}{380}}}=-0.8208$

4) Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The next step would be calculate the p value for this test.

Since is a one left tailed test the p value would be:

$p_v =P(z$

So the p value obtained was a very high value and using the significance level for example $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of no-show rate for passengers booked on the company flights is nor significantly less than 0.06 or 6%.

4 0

3 years ago