Answer:
(5,7.5) (12,18) (18,27)
Step-by-step explanation:
It costs $1.50 per cupcake.
y = 1.5x, where x is the amount of cupcakes and y is the amount of money in dollars.
7.5 = 1.5 times 5
18 = 1.5 times 12
27 = 1.5 times 18
Answer:
Step-by-step explanation:
Given that X is a random variable representing the amount of sleep each adult in New York City got last night.
a) Normal distribution (by central limit theorem)
b) Sample mean will approach population mean mu
c) the standard deviation σx of the sampling distribution approach to σ/√n
d) The means are the same.
. The standard deviations are σ / √50 and σ / √100, respectively.
Tan3A=tan(2A+A)
We know that , tan(x+y)=(tanx + tany)/(1 - (tanx)(tany))
tan(2A+A)=(tan2A+tanA)/(1 - (tan2A)(tanA))— (1)
We know that , tan2x=2tanx/(1 - tan^2x)
So, by substituting tan2A in (1),we get,
=[2tanA/(1 - tan^2A) + tanA]/1- (2tanA/(1 - tan^2A))(tanA)]
=[2tanA+tanA - tan^3A]/[1 - tan^2A - 2tan^2A]
=[3tanA - tan^3A]/[1-3tan^2A]
Therefore, tan3A= [3tanA - tan^3A]/[1-3tan^2A]
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