Answer:
In 4 months Wyatt offer an equal number of sandwiches and tacos.
Step-by-step explanation:
We are given the following in the question:
Types of sandwiches = 8
Rate of increase of sandwich = 1 per month
Thus, number of sandwiches in x months will be given by
Types of tacos = 4
Rate of increase of tacos sandwich = 2 per month
Thus, number of tacos in x months will be given by
Equating the two equations, we get,
Thus, in 4 months Wyatt offer an equal number of sandwiches and tacos.
Answer:
The probability that the assembly line will be shut down is 0.00617.
Step-by-step explanation:
We are given that a soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while 1% is not within specification.
Every hour, 12 random bottles are taken from the assembly line and tested. If 2 or more bottles in the sample are not within specification, the assembly line is shut down for recalibration.
Let X = <u><em>Number of bottles in the sample that are not within specification</em></u>.
The above situation can be represented through binomial distribution;
where, n = number of trials (samples) taken = 12 bottles
x = number of success = 2 or more bottles
p = probabilitiy of success which in our question is probability that
bottles are not within specification, i.e. p = 0.01
So, X ~ Binom (n = 12, p = 0.01)
Now, the probability that the assembly line will be shut down is given by = P(X 2)
P(X 2) = 1 - P(X = 0) - P(X = 1)
=
=
= <u>0.00617</u>