I would love to help you but i can not see the diagram you are talking about , if you provide me with one I'll try my best to help
The distance of the object from the mirror is 3cm.
To calculate the distance of the object from the mirror, we make use of the mirror formula
<h3>Mirror formula</h3>
- 1/f = (1/u)+(1/v)............ Equation 1
Where:
- f = Focal length of the mirror
- v = image distance
- u = object distance.
Using the real is positive convention,
Given:
Substitute these values into equation 1 and solve for u
- 1/5 = (-1/10)+(1/u)
- 1/5+(1/10) = 1/u
- 1/u = (2+1)/10
- 1/u = 3/10
- u = 10/3
- u = 3.33
- u = 3 cm
Hence, The distance of the object from the mirror is 3cm.
Learn more about mirror formula here: brainly.com/question/26257987
5x + 3 = 12
take the 3 to the other side
5x = 12 - 3 = 9
5x = 9
divide both sides by 5
x = 9/5
x = 1.8
Answer:
Corrections refers to the branch of the criminal justice system that deals with individuals who have been convicted of a crime.
Explanation:
Corrections refers to the branch of the criminal justice system that deals with individuals who have been convicted of a crime. The role of the correctional system is to ensure that an offender's sentence is carried out, whether it's time in jail or prison, probation, or community service.
Guard exam test questions- for the security guard exam, you should prepare and practice the test questions to achieve success at the first attempt. The licensing exam for the security guards or officers which is taken by the respective authorities neither is easy nor difficult.The security guard exam questions do not require a long explanation answer likewise the academic exam. The test questions come with multiple-choice options you should choose the correct one from the available answers.
Using the binomial distribution, it is found that there is a 0.6836 = 68.36% probability that she guesses at least one right.
For each question, there are only two possible outcomes, either she gets it right or she does not get it right. The probability of getting a question right is independent of any other question, hence the <em>binomial distribution</em> is used to solve this question.
<h3>What is the binomial distribution formula?</h3>
The formula is:
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- There are 5 questions, hence n = 5.
- For each question, she guesses one out of 4 options, hence p = 1/4 = 0.25.
The probability that she guesses at least one right is:
![P(X \geq 1) = 1 - P(X = 0)](https://tex.z-dn.net/?f=P%28X%20%5Cgeq%201%29%20%3D%201%20-%20P%28X%20%3D%200%29)
In which:
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
![P(X = 0) = C_{4,0}.(0.25)^{0}.(0.75)^{4} = 0.3164](https://tex.z-dn.net/?f=P%28X%20%3D%200%29%20%3D%20C_%7B4%2C0%7D.%280.25%29%5E%7B0%7D.%280.75%29%5E%7B4%7D%20%3D%200.3164)
Hence:
![P(X \geq 1) = 1 - P(X = 0) = 1 - 0.3164 = 0.6836](https://tex.z-dn.net/?f=P%28X%20%5Cgeq%201%29%20%3D%201%20-%20P%28X%20%3D%200%29%20%3D%201%20-%200.3164%20%3D%200.6836)
0.6836 = 68.36% probability that she guesses at least one right.
You can learn more about the binomial distribution at brainly.com/question/24863377