It’s logarithm. And I’m stuck. Please help me solve

When Harper commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 24 minutes and a

Korvikt [17]

Answer:

$\mu -2\sigma = 24-2*3= 18$

$\mu -2\sigma = 24+2*3= 30$

So then we can conclude that we expect the middle 95% of the values within 18 and 30 minutes for this case

Step-by-step explanation:

For this case we can define the random variable X as the amount of time it takes her to arrive to work and we know that the distribution for X is given by:

$X \sim N(\mu = 24, \sigma =3)$

And we want to use the empirical rule to estimate the middle 95% of her commute times. And the empirical rule states that we have 68% of the values within one deviation from the mean, 95% of the values within two deviations from the mean and 99.7 % of the values within 3 deviations from the mean. And we can find the limits on this way:

$\mu -2\sigma = 24-2*3= 18$

$\mu -2\sigma = 24+2*3= 30$

So then we can conclude that we expect the middle 95% of the values within 18 and 30 minutes for this case

7 0

3 years ago

A professor obtains SAT scores and freshman GPA for a group of 15 college students with the hope that she can predict GPA using

kramer

The hypothesis test analyzes the null and alternative hypothesis of the

plausibility of a correlation between the SAT scores and GPA.

The hypothesis test that would be appropriate is <u>a hypothesis test that checks that the slope of the regression line is not zero</u>.

Reasons:

The data collected by the professor = The scores of the college students

The type of scores collected = SAT scores, and GPA scores

The test that would be appropriate for the example, is the test for the

existence of a significant linear relationship between the input variable

(the SAT scores) and the output variable (the GPA)

The test is known as <u>the test for the slope of the regression line</u>

The equation of the regression line is; Y = B₀ + B₁·X

Where;

Y = The value of the GPA score (The dependent variable)

X = The value of the SAT score (The independent variable)

The test aims to check that the value the slope of the regression line is

much different from zero, such that there exist a correlation.

Learn more about hypothesis test for linear regression here:

brainly.com/question/13938204

4 0

2 years ago

A surveyor wants to know how many shoppers at a mall like to read books. He surveys 100 people coming out of a bookstore at the

Alisiya [41]

D. People who shop in bookstores are likely to read more books than those who do not.

8 0

3 years ago

Solve the equation. StartFraction dx Over dt EndFraction equals StartFraction 1 Over x e Superscript t plus 7 x EndFraction An i

MAVERICK [17]

Answer:

$\frac{1}{49}(7x-1)e^{7x}+e^{-t}=C$

Step-by-step explanation:

We are given that

$\frac{dx}{dt}=\frac{1}{xe^{t+7x}}$

We have to find the implicit function

Using separation variable method

$\frac{dx}{dt}=\frac{1}{xe^t\cdot e^{7x}}$

By using property $x^a\cdot x^y=x^{a+y}$

$xe^{7x}dx=e^{-t}dt$

By using property $\frac{1}{x^a}=x^{-a}$

Taking integration on both sides

$\int xe^{7x}dx=\int e^{-t}dt$

Parts integration method

$\int u\cdot v dx=u\int vdx-\int (\frac{du}{dx}\int vdx)dx$

By parts integration method

$x\int e^{7x}dx-\int (\frac{dx}{dx}\int e^{7x}dx)dx=-e^{-t}+C$

Using formula $\int e^{ax} dx=\frac{e^{ax}}{a}+C$

$\frac{xe^{7x}}{7}-\frac{1}{7}\int e^{7x}dx=-e^{-t}+C$

$\frac{xe^{7x}}{7}-\frac{1}{49}e^{7x}+e^{-t}=C$

$\frac{1}{49}(7x-1)e^{7x}+e^{-t}=C$

We are given that

$F(x,t)=C$

$F(x,t)=\frac{1}{49}(7x-1)e^{7x}+e^{-t}=C$

8 0

3 years ago

Three planets are in line and are orbiting round a sun, one take 1 week to orbit the sun another takes 9 weeks and the other tak

patriot [66]

Answer:

27 weeks.

Step-by-step explanation:

You need to calculate the minimun common multiple between the three times.

1 week = 1^1 week

9 weeks = 3^2 weeks

27 weeks = 3^3 weeks

You take the 1 and the 3 with the biggest exponent and multiply. In this case is 1^1*3^3 = 27. So, in 27 weeks the pkanets will all be in alignment.

7 0

3 years ago