Answer:
a)P=0.42
b) 
Step-by-step explanation:
We have a binomial distribution, since the result of each experiment admits only two categories (success and failure) and the value of both possibilities is constant in all experiments. The probability of getting k successes in n trials is given by:
a) we have k=2, n=10 and p=0.01:
b) We have, 
, Here P is the probability that at least one particle will penetrate the shield, this probabity has to be equal or greater than 0.95. Therefore, this will be equal to subtract from the total probability, the probability that the particles do not penetrate raised to the total number of particles.
To add two functions, combine like terms. (5+3x^(3)) = 8x^3-2x. The domain is all real numbers. There is no bound on how small or large the numbers can be for cubed functions.
Answer:
A Type I error would occur if there was no evidence of an improvement on the national exam but there really was improvement.
Step-by-step explanation:
A type 1 error simply occurs when we incorrectly reject a true null hypothesis. In the scenario above, An experiment was conducted in other it know if there is sufficient evidence to support a claim that a new teaching method developed improves students score. If this claim is actually true in the real sense. However, after conducting a statistical test, we conuded that there was no sufficient evidence to support her claim of improvement using the new method, hence, the claim was rejected. By rejecting the claim, a true null has been rejected. Hence, a type 1 error has been committed.
Answer:
471.2 cm³ missing
Step-by-step explanation:
jars are cylinders
volume of cylinder = π * r² * h
h=10
r=5
v=785.4 cm³ of a full jar
r stays the same = 5
h = 4
v= 314.2 cm³ left in the jar
whats missing is the full-left
785.4-314.2=471.2 cm³ missing
Answer:
They both owe each other
Step-by-step explanation:
