MATHEMATICS COLLEGE

What is the value of “a” in the function equation?
What is the value of “a” in the function equation? - 1

Answers

Answer 1
Answer:

Answer:     the value of A is 2

Step-by-step explanation:

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You read that a study is planned for which a test of hypothesis will be done at significance level α = 0.10. Statisticians have calculated that for a certain effect size, the power is 0.7. What are the probabilities of Type I and Type II errors for this test?

An airline company is considering a new policy of booking as many as 354 persons on an airplane that can seat only 330. (Past studies have revealed that only 88% of the booked passengers actually arrive for the flight.) Estimate the probability that if the company books 354 persons, not enough seats will be available

Answers

Title:

See the explanation.

Step-by-step explanation:

It is given that, if 100 persons book their seats, then only 88 passengers come.

The probability of 1 passenger to come is (88)/(100) = 0.88.

There will not be enough seats only when, 331 or more than 331 passengers will come.

The probability of 1 passenger will not come is (1 - 0.88)= 0.12.

Out of 354 passengers the probability that n passengers will come is ^(354)C_n (0.88)^n (0.12)^(354 - n).

The required probability is ∑^(354)C_n (0.88)^n (0.12)^(354 - n), where 331\leq n \leq 354.

If ln y = (ln x)2 + 2, then find dy / dx in terms of x and y.

Answers

Answer:  The required value of(dy)/(dx) is(y)/(1-y).

Step-by-step explanation:   We are given to find the value of(dy)/(dx) from the following equation :

\ln y=(\ln x)^2+2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

Differentiating both sides of equation (i) with respect to x, we have

(d)/(dx)\ln y=(d)/(dx)((\ln x)^2+2)\n\n\n\Rightarrow (1)/(y)(dy)/(dx)=(d)/(dx)(\ln x)^2+(d)/(dx)2\n\n\n\Rightarrow (1)/(y)(dy)/(dx)=2\ln x*(d)/(dx)\ln x+0\n\n\n\Rightarrow (1)/(y)(dy)/(dx)=2(\ln x)/(x)\n\n\n\Rightarrow (dy)/(dx)=(2y\ln x)/(x).

Thus, the required value of(dy)/(dx) in terms of x and y is (2y\ln x)/(x)..

What is the slope of the line that contains the points (-1,-1) and (3, 15)?O A.
1
4
B. 4
O C. -
4
D. -4

Answers

Answer:

its b

Step-by-step explanation:

A study of​ 420,095 cell phone users resulted in 135 who developed cancer of the brain or nervous system. When comparing this sample group to another group of people who did not use cell​ phones, it was found that there is a probability of 0.512 of getting such sample results by chance. What do you​ conclude?

Answers

Answer:

Results of the original study are inconclusive

Step-by-step explanation:

A probability of 0.512 that the results obtained in the controlled sample could be obtained by chance, means that it is more likely than not ( P>0.50) to get this results by chance. What this means is that the results of the original study linking brain cancer development to cell phone use are inconclusive.

Inverse Function In Exercise,analytically show that the functions are inverse functions.Then use the graphing utility to show this graphically.f(x) = e^x - 1
g(x) = In(x + 1)

Answers

Step-by-step explanation:

We need to show whether

f^(-1)(x) = g(x)

or

g^(-1)(x) = f(x)

so we'll do either one of them,

we'll convert f(x) to f^-1(x) and lets see if it looks like g(x).

f(x) = e^x - 1

we can also write it as:

y = e^x - 1

now all we have to do is to make x the subject of the equation.

y+1 = e^x

ln((y+1)) = x

x=ln((y+1))

now we'll interchange the variables

y=ln((x+1))

this is the inverse of f(x)

f^(-1)(x)=ln((x+1))

and it does equal to g(x)

g(x)=ln((x+1))

Hence, both functions are inverse of each other!

This can be shown graphically too:

we can see that both functions are reflections of each other about the line y=x.

For the class field trip, the fourth grades at Jefferson Elementary School need to take buses. Each bus fits 55 students and there are 200 students in fourth grade. How many buses will they need?3 buses
3 R20 buses
4 buses
None of these is correct.

Answers

They will need 4 buses.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

For the class field trip,

the fourth grades at Jefferson Elementary School need to take buses.

Each bus fits 55 students,

and there are 200 students in fourth grade.

The number of buses,

= 200/55

= 3.63

≈ 4.

Therefore, the need is for 4 buses.

To learn more about the division;

brainly.com/question/13263114

#SPJ2
you would need 4 buses to bring all the students because you would still have some students left to ride the bus if you only get 3 buses
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