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
Pachacha [2.7K]
3 years ago
16

The graph of the piecewise function f(x) is shown what is the domain of f(x)

Mathematics
1 answer:
Rom4ik [11]3 years ago
8 0

The domain of a function is where we have a value for x.

Since that's the case the domain of f(x) = {x e R / 1 ≤ x < 5}

We see that we have a value for x = 1 cuz we have a filled circle, but we don't have a value for x = 5, look at the unfilled circle

So, our x can vary between 1 and 5, but can't be 5.

You might be interested in
One number is 6 more than twice the other number. If the sum of the two numbers is ​21, find the two numbers
hichkok12 [17]

Answer:

One number, let's call it x, is 6 more than twice the other number, let's say this number is y.

x= 2y+6

x+y=21

We're left with a system of equations.

If we substitute the first equation in the second we find the value of y.

(2y+6)+y=21

3y+6=21

3y=15

<u><em>y=5</em></u>

Now that we have found the value of y, we can take that value and substitute it in the second equation (since it's easier) to find the value of x.

x+ (5)=21

<u><em>x=16</em></u>

<u><em>Now to check if our answers are correct, we plug in both values into any equation and see if they equate.</em></u>

x+y=21

(16)+(5)=21

21=21

Our solution is correct!

4 0
2 years ago
Please Help me solve this. Easy Five Points.
Sveta_85 [38]

Answer:

\frac{5}{6}

Step-by-step explanation:

5 = 6y

y = \frac{5}{6}

8 0
3 years ago
A bag contains 3 red marbles and 6 black marbles. What is the probability that you select two red marbles if you reach in the ba
Ksju [112]

Answer:

a

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Let X1, X2, ... , Xn be a random sample from N(μ, σ2), where the mean θ = μ is such that −[infinity] &lt; θ &lt; [infinity] and
Sliva [168]

Answer:

l'(\theta) = \frac{1}{\sigma^2} \sum_{i=1}^n (X_i -\theta)

And then the maximum occurs when l'(\theta) = 0, and that is only satisfied if and only if:

\hat \theta = \bar X

Step-by-step explanation:

For this case we have a random sample X_1 ,X_2,...,X_n where X_i \sim N(\mu=\theta, \sigma) where \sigma is fixed. And we want to show that the maximum likehood estimator for \theta = \bar X.

The first step is obtain the probability distribution function for the random variable X. For this case each X_i , i=1,...n have the following density function:

f(x_i | \theta,\sigma^2) = \frac{1}{\sqrt{2\pi}\sigma} exp^{-\frac{(x-\theta)^2}{2\sigma^2}} , -\infty \leq x \leq \infty

The likehood function is given by:

L(\theta) = \prod_{i=1}^n f(x_i)

Assuming independence between the random sample, and replacing the density function we have this:

L(\theta) = (\frac{1}{\sqrt{2\pi \sigma^2}})^n exp (-\frac{1}{2\sigma^2} \sum_{i=1}^n (X_i-\theta)^2)

Taking the natural log on btoh sides we got:

l(\theta) = -\frac{n}{2} ln(\sqrt{2\pi\sigma^2}) - \frac{1}{2\sigma^2} \sum_{i=1}^n (X_i -\theta)^2

Now if we take the derivate respect \theta we will see this:

l'(\theta) = \frac{1}{\sigma^2} \sum_{i=1}^n (X_i -\theta)

And then the maximum occurs when l'(\theta) = 0, and that is only satisfied if and only if:

\hat \theta = \bar X

6 0
3 years ago
Suppose four students miss an exam. They tell their instructor that they were carpooling to school together on the day of the ex
tia_tia [17]

Answer:

The probability they each indicate the same tire is \frac{1}{64}=0.02

Step-by-step explanation:

There will be 4 cases involved as there are 4 tires.

Probability of choosing front left tire is \frac{1}{4} as there are a total of 4 tires and we need to choose 1.

Now, if all the four students chose the front left tire then the probability is the product of individual probabilities.

Therefore, probability that all 4 students chooses front left tire is:

P(fl)=(\frac{1}{4})^4

Similarly, the probabilities of choosing the remaining 3 tires by all the students would be:

P(fr)=(\frac{1}{4})^4, P(rl)=(\frac{1}{4})^4, P(rr)=(\frac{1}{4})^4

Therefore, the probability that they indicate the same tire is the sum of all these probabilities.

P(\textrm{same tire by all})=P(fl)+P(fr)+P(rl)+P(rr)\\ P(\textrm{same tire by all})=(\frac{1}{4})^4\times 4\\ P(\textrm{same tire by all})=\frac{4}{4^4}=\frac{1}{4^3}=\frac{1}{64}=0.02

7 0
4 years ago
Other questions:
  • Which of the following is a factor of f(x) = 5x3 + 24x2 − 75x + 14?
    10·2 answers
  • Which of the following are valid names for the triangle below? Check all that
    10·1 answer
  • Help please And how would you get the answer need asap
    11·1 answer
  • Solve for x.<br><br><img src="https://tex.z-dn.net/?f=%20-%202%286%20%2B%20x%29%20%3D%2018%20-%203x" id="TexFormula1" title=" -
    12·1 answer
  • How many times larger is the volume of a sphere if radius is multiplied by 5
    6·1 answer
  • During a sale, 20-cent candy bars were sold at 3 for 50 cents. How much is saved on 9 bars?
    12·1 answer
  • What percent of the 2019 world population lives in Canada? Round the percentage to three decimal places.
    13·1 answer
  • Will mark as brainliest!!!!!!!!!!
    5·1 answer
  • Chứng minh rằng S= 5+ 5^2 + 5^3 + ...+ 5^1991 + 5 ^1992 chia hết cho 6
    6·1 answer
  • Which of the following is NOT a variation of a Pythagorean identity?​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!