Answer:
y = cos (2x + 2π) - 5/2
Step-by-step explanation:
y = a cos (bx + c) +d
a = Amplitude =1
period = 2π/b =π
b= 2
phase shift c/b = π
c/2 =π
c =2π
vertical translation = 5/2 units
d = -5/2 downwards
therefore substituting the values
y=1 cos (2x +2π) - 5/2
y = cos (2x + 2π) - 5/2 ;equation for the function
Answer:
option C 13.5%
Step-by-step explanation:
As the heights of adults is normally distributed with mean=69 and standard deviation=2.5 so, the percent of men that are between 64 and 66.5 inches tall can be calculated as
P(64<X<66.5)=P[ (64-69)/2.5<(X-μ)/σ<(66.5-69)/2.5]
P(64<X<66.5)=P(-2<Z<-1)
P(64<X<66.5)=P(-2<Z<0)-P(-1<Z<0)
P(64<X<66.5)=0.4772-0.3413=0.1359
Thus, the percent of men are between 64 and 66.5 inches tall is 13.59%.
If we round the resultant quantity then it will be rounded to 13.6% but considering the given options, option C is most appropriate.
Answer:
C
Step-by-step explanation:
Answer: £3885.71
Step-by-step explanation:
Let x be salary
Holding pay = 17.5% of x = 680.00
X = 680/0.175 = 3885.71
Answer:
C
10% = (10÷100=1÷10)=2÷20=.10
