1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alex_Xolod [135]
3 years ago
11

Consider the functions f(x)=x^2+9x and g(x)= 1/x .

Mathematics
1 answer:
Vikentia [17]3 years ago
5 0

f(g(-1))=-8

g(f(1/2))=4/19

You might be interested in
A machine that cuts corks for wine bottles operates in such a way that the distribution of the diameter of the corks produced is
Norma-Jean [14]

Answer:

A. P(x<3.85 or x>4.15)= P(x<3.85)+P(x>4.15) = 0.1336

Step-by-step explanation:

Working with an ordinary Normal Distribution of probability and trying to find the probabilities asked in it could be difficult, because there´s no easy method to find probabilities in a generic Normal Distribution (with mean μ=4 and STD σ=0.1). The recommended approach to this question is to use a process called "Normalize", this process let us translate the problem of any Normal Distribution to a Standard Normal Distribution (μ=0 and σ=1) where there´s easier ways to find probabilities in there. The "Normalization" goes as follows:

Suppose you want to know P(x<a) of the Normal Distribution you are working with:

P(x<a)=P( (x-μ)/σ < (a-μ)/σ )=P(z<b)   ( b=(a-μ)/σ )

Where μ is the mean and σ is the STD of your Normal Distribution. Notice P(z<b) now it´s a probability in a Standard Normal Distribution, now we can find it using the available method to do so. My favorite is a chart (It´s attached to this answer) that contains a lot of probabilities in a Standard Normal Distribution. Let´s solve this as an example

A. We want to find the probability of the cork being defective (P(x<3.85) + P(x>4.15)). Now we find those separated and, then, add them for our answer.

Let´s begin with P(x<3.85), we start by normalizing that probability:

P(x<3.85)= P( (x-μ)/σ < (3.85-4)/0.1 )= P(z<-1.5)

And now it´s time to use the chart, it works like this: If you want P(z<c) and the decimal expansion of c=a.bd... , then:

P(z<c)=(a.b , d)

Where (a.b , d) are the coordinates of the probability in the chart. Keep in mind that will only work with "<" (It won´t work directly with P(z>c)) and we will do some extra work in those cases.

P(z<-1.5) is in the coordinates (-1.5 , 0)

P(z<-1.5)= 0.0668

P(x<3.85)= 0.0668

Now we are looking for P(x>4.15), let´s Normalize it too:

P(x>4.15)=P( (x-μ)/σ < (4.15-4)/0.1 )=P(z>1.5)

But remember the chart only work with "<", so we need to use a property of probability:

P(z>1.5)= 1 - P(z<1.5)

Using the chart:

P(z<1.5)=0.9332                             (1.5 , 0)

P(z>1.5)= 1 - 0.9332

P(z>1.5)= 0.0668

P(x>4.15)= 0.0668

And our final answer will be:

P(x<3.85 or x>4.15)= P(x<3.85)+P(x>4.15) = 0.1336

4 0
3 years ago
rding to linear pattern. If the initial value of the vehicle is $26,000, and the value ten years later is $0, what will the depr
Verdich [7]
The answer will be 5,200
3 0
3 years ago
Football coaches running their summer practices noticed
Westkost [7]

Answer:

The last one, Explanatory variable: player 40-yard-dash time

Response variable: player weight would be your answer. Hope this helps : )

Step-by-step explanation:

6 0
3 years ago
What are the roots of the polynomial equation? x² + 7x + 12 = 0 Enter your answers in the boxes. x1= x2=
oksian1 [2.3K]
The equation factors as
.. (x +3)(x +4) = 0
By the zero-product rule, the roots are
.. x1 = -4
.. x2 = -3

3 0
3 years ago
Read 2 more answers
The relationship between 650 and 65
Brrunno [24]

Answer:

The ratio is 10 : 1, or 10 to 1

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Can someone quickly do this
    5·1 answer
  • Nadia is painting the four sides of a rectangular trough. If a can of paint will cover 20 ft2, how many cans will she need to bu
    5·1 answer
  • 1 and 1/2 - 3/4 = sdfghjkloiuytfdsawer5tyuioikjhgfvcxcvbnjkolijuhgvfcxc vbnjkolpoiuygfcdx
    12·1 answer
  • What is the eighth term in the arithmetic sequence 1,10,19,28
    12·1 answer
  • What’s the addictive inverse of -5
    5·2 answers
  • If h(x)=(fog)(x) and h(x)=³√x+3, find g(x) if f(x) =³√x+2
    6·1 answer
  • Knox can color 1/5 a page of his coloring book in 1/3 of an hour. Express this as a unit rate
    9·1 answer
  • Is the following shape a rectangle
    12·1 answer
  • Share a dream that you had recently and what share what it possibly means. 12 sentences minimum and no links&lt;3​
    14·1 answer
  • sarah and janie both have lollipops. Janie has 36 lollipops. This is 9 times as many as sarah. How many lollipops does Sarah hav
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!