Answer:
There is a 22.66% probability that the amount dispensed into a box is less than 12 ounces.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by
After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X.
In this problem:
The amount of cereal dispensed into "12-ounce" boxes of Captain Crisp cereal is normally distributed with mean 12.09 ounces and standard deviation 0.12 ounces, so 
.
That is, what is the probability that the amount dispensed into a box is less than 12 ounces?
This is the pvalue of Z when 
.
So:
has a pvalue of 0.2266.
This means that there is a 22.66% probability that the amount dispensed into a box is less than 12 ounces.
Complement of an event A^cRefers to the event "not A"Conditional probabilityThe probability that one event happens given that another event is already known to have happened.EventAny collection of outcomes from some chance process.General addition ruleIf A and B are any two events resulting from some chance process, then the probability that event A or event B (or both) occur is P(A) + P(B) - P(A ∩ B) .General multiplication ruleThe probability that events A and B both occur can be found using the formula P(A ∩ B) = P(A) ∙ P(B | A)Independent eventsOccurrence of one event has no effect on the chance the other event will happen. In other words, if P(A | B) = P(A).IntersectionDenoted by A ∩ B, refers to the situation when both events occur at the same time.Law of Large NumbersIf we observe more and more repetitions of any chance process, the proportion of times that a specific outcome occurs approaches a single value, which we call the probability of that outcome.Mutually exclusive (disjoint)Two events have no outcomes in common and so can never occur together.ProbabilityA number between 0 and 1 that describes the proportion of times the outcome would occur in a very long series of repetitions.Probability modelA description of some chance process that consists of two parts: a sample space S and a probability for each outcome.Sample space SThe set of all possible outcomes of a chance process.SimulationThe imitation of chance behavior, based on a model that accurately reflects the situation.Tree diagramUsed to display the sample space for a chance process that involves a sequence of outcomes.Union<span>Denoted by A ∪ B, consists of all outcomes in A, or B, or both.</span>
The answer would be y = 6
Answer:
No
Step-by-step explanation:
To calculate how much fence is needed we need to calculate the perimeter NOT area.
P = 2L+2W
P =2(6.75)+2(4 2/3)
P = 13.5 + 9 1/3
P = 22 5/6
Because she only has 22 yards she does not have enough to go all the way around.
Hope this helps and brainliest please
