Given:
Confidence level = 90%
mean = 71 beats per minute
standard deviation = 6 beats per minute
margin of error = z * δ / √n
where : δ - population of the standard deviation, n is the sample size ; z is the appropriate z value.
90% confidence level = 1.645 in z-value
margin of error = 1.645 * (6/√80) = 1.645 * (6/8.94) = 1.645 * 0.671 = 1.104
Given
John had a roll containing of wrapping paper

First, he must cut off 5/6 foot because it was torn.
He wants to divide it into 11 pieces.
To proof
As given in question
John had a roll containing of wrapping paper

( solving the mixed fraction form)
First, though, he must cut off 5/6 foot
than we get

Taking the L.C.M of 3 and 6 is 6


=23.83 feet (approx)
He wants to divide it into 11 piece
length of the each piece

length of the each pieces be 2.16 feet ( approx)
Hence proved
Step-by-step explanation:

Find c, yenvelope(x,t), and ycarrier(x,t). express your answer in terms of a, k1, k2, x, t, ω1, and ω2. separate the three parts
steposvetlana [31]
Answer:

Step-by-step explanation:
Given

using a trigonometrical identity
sin p + sin q = 2 sin ( p+q/2) cos ( p-q/2)
and here the condition is
the choice is in between sinax and cosax
where a > b
so we get using above equation
