Answer:
The answer to the system of equations is 4, -4
Step-by-step explanation:
y=7x-10
Answer:
0.2611 = 26.11% probability that exactly 2 calculators are defective.
Step-by-step explanation:
For each calculator, there are only two possible outcomes. Either it is defective, or it is not. The probability of a calculator being defective is independent of any other calculator, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
5% of calculators coming out of the production lines have a defect.
This means that ![p = 0.05](https://tex.z-dn.net/?f=p%20%3D%200.05)
Fifty calculators are randomly selected from the production line and tested for defects.
This means that ![n = 50](https://tex.z-dn.net/?f=n%20%3D%2050)
What is the probability that exactly 2 calculators are defective?
This is P(X = 2). So
![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 = 2) = C_{50,2}.(0.05)^{2}.(0.95)^{48} = 0.2611](https://tex.z-dn.net/?f=P%28X%20%3D%202%29%20%3D%20C_%7B50%2C2%7D.%280.05%29%5E%7B2%7D.%280.95%29%5E%7B48%7D%20%3D%200.2611)
0.2611 = 26.11% probability that exactly 2 calculators are defective.
The answer is b. Great job! here ill show you the work.
15x +90 > 270
move constant to the right side and change its sign, like this:
15x>270-90
then subtract the numbers
15x>180
lastly, divide both sides by 15.
hope this helped!
Answer:
625
Step-by-step explanation: