Answer: the probability the mean weight will exceed 2.1 ounces is 0.09
Step-by-step explanation:
Let x be the random variable representing the amount of icing on a Cuppie Cake large cupcake. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = standard deviation
n = number of samples
From the information given,
µ = 2
σ = 0.3
n = 16
x = 2.1
the probability that the mean weight will exceed 2.1 ounces is expressed as
P(x ≥ 2.1)
For x = 2.1
z = (2.1 - 2)/(0.3/√16) = 1.33
We would determine the probability for the area above z = 1.33 from the normal distribution table. It would be
p = 1 - 0.91 = 0.09
P(x ≥ 2.1) = 0.09
an is the 'nth' term
a1 is first term
d=common difference (found by doing
)
n=numerical representation of which term
-4 _> 4(6y-12)-2y
first distribute/ simplify the equation
-4 _> 24y-48-2y
then combine like terms
-4 _> 22y-48
solve for y
-4 _> 22y-48
44 _> 22y
2 _> y
so the answer is y <_ 2 ( y is less than or equal to 2)
