<span>The parent cosine function can be transformed and translated. So, from the basic function cos(x) we can obtain function acos(bx+c). In our case, a=3- amplitude, b=10- the period change and c=-pi- the phase shift. So, the parent cosine function is mutiplied with 3 (which gives the amplitude of the function, 3*0.5=1.5). The period of the function is changed, and is 2pi/b=2pi/10=pi/5 and the cos(x) is phase shifted for c/b=-pi/10.</span>
Answer:
(d) μ and σ²/n
Step-by-step explanation:
In a sampling distribution of sample means, the mean is equal to the population mean, which is μ.
The standard deviation of the sampling distribution of sample means is given by
σ/√n.
The variance of a distribution is the square of the standard deviation; this means the variance of the sampling distribution of sample means would be
(σ/√n)² = σ²/(√n)² = σ²/n
Answer:
The correct answer is: 360.
Explanation:
First we can express 120 as follows:
2 * 2 * 2 * 3 * 5 = 120
You can get the above multiples as follows:
120/2 = 60
60/2 =30
30/2 = 15
15/3 = 5 (Since 15 cannot be divisible by 2, so we move to the next number)
5/5 = 1
Take all the terms in the denominator for 120, you would get: 2 * 2 * 2 * 3 * 5 --- (1)
Second we can express 360 as follows:
360/2 = 180
180/2 = 90
90/2 =45
45/3 = 15 (Since 45 cannot be divisible by 2, so we move to the next number)
15/3 = 5
5/5 = 1
Take all the terms in the denominator for 360, you would get: 2 * 2 * 2 * 3 * 3 * 5 --- (2)
Now in (1) and (2) consider the common terms once and multiple that with the remaining:
2*2*2*3*5 = Common between the two
3 = Remaining
Hence (2*2*2*3*5) * (3) = 360 = LCM (answer)
Answer:
Step-by-step explanation:
a1=90-a2
a1=90-30=60
a2 is opposite 30 and opposite angles are equal so
a2=30
The sum of the angles of a triangle are equal to 180 degrees.
a2+a3+70=180
a3+30+70=180
a3=100=180
a3=80
The answer is 0.1
17/10 - 8/5 = 0.1
