Answer: Step-by-step explanation:
What is 5.56666666667 as a fraction?
To write 5.56666666667 as a fraction you have to write 5.56666666667 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
5.56666666667 = 5.56666666667/1 = 55.6666666667/10 = 556.666666667/100 = 5566.66666667/1000 = 55666.6666667/10000 = 556666.666667/100000 = 5566666.66667/1000000 = 55666666.6667/10000000 = 556666666.667/100000000 = 5566666666.67/1000000000 = 55666666666.7/10000000000 = 556666666667/100000000000
And finally we have:
5.56666666667 as a fraction equals 556666666667/100000000000
In 1 and 2, you are asked to find "a" and "b" in the pattern
g(x) = a•bˣ
1: selection 2
2: selection 4
3. You want the result of evaluating 4000*(1.06)⁵ ≈ 5352.90, selection 2.
Answer:
Point estimate for the population variance = 3.92 *
.
Step-by-step explanation:
We are given that a sample of 5 strings of thread is randomly selected and the following thicknesses are measured in millimeters ;
X X -
1.13 1.13 - 1.188 = -0.058 3.364 * ![10^{-3}](https://tex.z-dn.net/?f=10%5E%7B-3%7D)
1.15 1.15 - 1.188 = -0.038 1.444 *
1.15 1.15 - 1.188 = -0.038 1.444 * ![10^{-3}](https://tex.z-dn.net/?f=10%5E%7B-3%7D)
1.24 1.24 - 1.188 = 0.052 2.704 * ![10^{-3}](https://tex.z-dn.net/?f=10%5E%7B-3%7D)
1.27 1.27 - 1.188 = 0.082 <u> 6.724 * </u>
<u> </u>
<u>= 0.01568 </u>
Firstly, Mean of above data,
=
=
= 1.188
Point estimate of Population Variance = Sample variance
=
=
= 3.92 *
.
Therefore, point estimate for the population variance = 3.92 *
.
Answer:
See detail below.
Step-by-step explanation:
A word of caution before getting to the actual problem: I believe there is an important set of brackets missing in the original post. The expression on the left hand side should be:
(cosxtanx-tanx+2cosx-2)/(tanx+2)
Without the brackets, it is left unclear whether the denominator is just tanx or tanx+2. I recommend to use brackets wherever any doubt could arise.
Now to the actual problem: \we can make the following transformations on the left hand side:
![\frac{\cos x \tan x + 2\cos x -2}{\tan x +2}=\frac{\cos x \frac{\sin x}{\cos x} + 2\cos x -2}{\frac{\sin x +2\sin x}{\cos x} }=\\=\frac{\cos x \sin x - \sin x + 2\cos^2 x - 2\cos x}{\sin x + 2\cos x}=\\=\frac{\cos x \sin x +2\cos^2 x }{\sin x + 2\cos x}-1=\\=\cos x -1](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ccos%20x%20%5Ctan%20x%20%2B%202%5Ccos%20x%20-2%7D%7B%5Ctan%20x%20%2B2%7D%3D%5Cfrac%7B%5Ccos%20x%20%5Cfrac%7B%5Csin%20x%7D%7B%5Ccos%20x%7D%20%20%2B%202%5Ccos%20x%20-2%7D%7B%5Cfrac%7B%5Csin%20x%20%2B2%5Csin%20x%7D%7B%5Ccos%20x%7D%20%7D%3D%5C%5C%3D%5Cfrac%7B%5Ccos%20x%20%5Csin%20x%20-%20%5Csin%20x%20%2B%202%5Ccos%5E2%20x%20-%202%5Ccos%20x%7D%7B%5Csin%20x%20%2B%202%5Ccos%20x%7D%3D%5C%5C%3D%5Cfrac%7B%5Ccos%20x%20%5Csin%20x%20%2B2%5Ccos%5E2%20x%20%7D%7B%5Csin%20x%20%2B%202%5Ccos%20x%7D-1%3D%5C%5C%3D%5Ccos%20x%20-1)
which is shown to be the same as the right hand side, which was to be shown.
82.75 minus the cost of the mug
Which equals 75 dollars and 75 divided by the cost of the refills which is 3.25 equals 24 refills