Answer:
AC = 2x - 13 Cm
BC = 3x + 4 Cm
AB = 36 Cm
AB = AC + BC
BC = AB - AC
= 36 - (2x - 13)
= 36 - 2x + 13
= 49 - 2x
but, BC = 3x + 4
so equating both the equation we get
3x + 4 = 49 - 2x
3x + 2x = 49 + 4
5x = 53
x = 53/5
x = 10.6
BC = 49- 10.6*2
= 49- 21.2
= 27.8 CM
Answer:
N/m^2
Step-by-step explanation:
If the amount of force (newtons) is changing over the surface area, that means we should use units in the form of newtons over surface area, which is in the form of m^2.
Answer:
-22+27i
Step-by-step explanation:
![i = \sqrt{ - 1} \\ (3 - 4i)( - 6 + i) \\ = (3 - 4 \sqrt{ - 1} )( - 6 + \sqrt{ - 1} ) \\ = 3( - 6 + \sqrt{ - 1)} - 4 \sqrt{ - 1} ( - 6 + \sqrt{ - 1} ) \\ = - 18 + 3 \sqrt{ - 1} + 24 \sqrt{ - 1} - 4 \\ = - 22 + 27 \sqrt{ - 1} \\ putting \: \: \: \sqrt{ - 1 } = i \\ = - 22 + 27i](https://tex.z-dn.net/?f=i%20%3D%20%20%5Csqrt%7B%20-%201%7D%20%20%5C%5C%20%283%20-%204i%29%28%20-%206%20%2B%20i%29%20%5C%5C%20%20%3D%20%283%20-%204%20%5Csqrt%7B%20-%201%7D%20%29%28%20-%206%20%2B%20%20%5Csqrt%7B%20-%201%7D%20%29%20%5C%5C%20%20%3D%203%28%20-%206%20%2B%20%20%5Csqrt%7B%20-%201%29%7D%20%20-%204%20%5Csqrt%7B%20-%201%7D%20%28%20-%206%20%2B%20%20%5Csqrt%7B%20-%201%7D%20%29%20%5C%5C%20%20%3D%20%20-%2018%20%2B%203%20%5Csqrt%7B%20-%201%7D%20%20%2B%2024%20%5Csqrt%7B%20-%201%7D%20%20-%204%20%5C%5C%20%20%3D%20%20-%2022%20%2B%2027%20%5Csqrt%7B%20-%201%7D%20%5C%5C%20putting%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5Csqrt%7B%20-%201%20%7D%20%20%3D%20i%20%5C%5C%20%20%3D%20%20-%2022%20%2B%2027i)
Hope it helps.
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5.6 is 5.63 rounded to the nearest tenth
Answer:
Following are the answer to this question:
Step-by-step explanation:
Given:
n = 30 is the sample size.
The mean
= 7.3 days.
The standard deviation = 6.2 days.
df = n-1
![= 30-1 \\ =29](https://tex.z-dn.net/?f=%3D%2030-1%20%5C%5C%20%20%20%20%20%20%3D29)
The importance level is
= 0.10
The table value is calculated with a function excel 2010:
![= tinv (\ probility, \ freedom \ level) \\= tinv (0.10,29) \\ =1.699127\\ = t_{al(2x-1)}= 1.699127](https://tex.z-dn.net/?f=%3D%20tinv%20%28%5C%20probility%2C%20%5C%20freedom%20%5C%20level%29%20%5C%5C%3D%20tinv%20%280.10%2C29%29%20%5C%5C%20%3D1.699127%5C%5C%20%3D%20%20t_%7Bal%282x-1%29%7D%3D%201.699127)
The method for calculating the trust interval of 90 percent for the true population means is:
Formula:
![\bar X - t_{al 2,x-1} \frac{S}{\sqrt{n}} \leq \mu \leq \bar X+ t_{al 2,x-1} \frac{S}{\sqrt{n}}](https://tex.z-dn.net/?f=%5Cbar%20X%20-%20t_%7Bal%202%2Cx-1%7D%20%5Cfrac%7BS%7D%7B%5Csqrt%7Bn%7D%7D%20%5Cleq%20%5Cmu%20%5Cleq%20%5Cbar%20X%2B%20t_%7Bal%202%2Cx-1%7D%20%20%20%5Cfrac%7BS%7D%7B%5Csqrt%7Bn%7D%7D)
![=\bar X - t_{0.5, 29} \frac{6.2}{\sqrt{30}} \leq \mu \leq \bar X+ t_{0.5, 29} \frac{6.2}{\sqrt{30}}\\\\=7.3 -1.699127 \frac{6.2}{\sqrt{30}}\leq \mu \leq7.3 +1.699127 \frac{6.2}{\sqrt{30}}\\\\=7.3 -1.699127 (1.13196)\leq \mu \leq7.3 +1.699127 (1.13196) \\\\=5.37 \leq \mu \leq 9.22 \\](https://tex.z-dn.net/?f=%3D%5Cbar%20X%20-%20t_%7B0.5%2C%2029%7D%20%5Cfrac%7B6.2%7D%7B%5Csqrt%7B30%7D%7D%20%5Cleq%20%5Cmu%20%5Cleq%20%5Cbar%20X%2B%20t_%7B0.5%2C%2029%7D%20%20%20%5Cfrac%7B6.2%7D%7B%5Csqrt%7B30%7D%7D%5C%5C%5C%5C%3D7.3%20-1.699127%20%5Cfrac%7B6.2%7D%7B%5Csqrt%7B30%7D%7D%5Cleq%20%5Cmu%20%5Cleq7.3%20%2B1.699127%20%5Cfrac%7B6.2%7D%7B%5Csqrt%7B30%7D%7D%5C%5C%5C%5C%3D7.3%20-1.699127%20%281.13196%29%5Cleq%20%5Cmu%20%5Cleq7.3%20%2B1.699127%20%20%281.13196%29%20%5C%5C%5C%5C%3D5.37%20%5Cleq%20%5Cmu%20%20%5Cleq%209.22%20%5C%5C)
It can rest assured that the true people needs that middle managers are unavailable from 5,37 to 9,23 during the years.