The given sample's confidence interval is 4.73 ± 0.1199, or from 4.61 to 4.85
<h3>What is the z score?</h3>
The z-score is a numerical assessment of a value's connection to the mean of a set of values, expressed in terms of standards from the mean, that is used in statistics.
Given data;
Mean = 4.73
Standard deviation = 0.865
Sample size = 200
interval = 95%
Confidence interval=?
95% of samples contain the population mean (μ) within the confidence interval of 4.73 ± 0.1199.
Hence, the sample's confidence interval is 4.73 ± 0.1199, from 4.61 to 4.85
To learn more about the Z score, refer to;
brainly.com/question/15016913
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Given: £90 is divided among Aahil, James and Merav in the ratio 1:3:5.
To find: How much Merav gets.
Answer:
Let's assume the shares of each to be 'x'.
This implies that 1x + 3x + 5x = 90.
9x = 90
x = 90/9
x = 10
Substituting this value of x in the ratio,
- 1 × 10 = 10 [<em>Aahil's share</em>]
- 3 × 10 = 30 [<em>James' share</em>]
- 5 × 10 = 50 [<em>Merav's share</em>]
Therefore, Merav gets £50.
Hope it helps. :)
Answer:
2x+4y-12
Step-by-step explanation:
2x+4y-12
Answer:
x = 2 and x = -2
Step-by-step explanation:
The easiest way is to guess. We know that you can't have a square root of a negative number. This constrains x between negative infinity to 2. Testing 2 and -2, we see that it satisfy the equation.
The more systematic approach is shown below
![\sqrt{5-2x}-\sqrt{2-x}=1 \\\sqrt{5-2x}-\sqrt{2-x}+\sqrt{2-x}=1+\sqrt{2-x} \\\sqrt{5-2x} = 1+\sqrt{2-x}](https://tex.z-dn.net/?f=%5Csqrt%7B5-2x%7D-%5Csqrt%7B2-x%7D%3D1%20%5C%5C%5Csqrt%7B5-2x%7D-%5Csqrt%7B2-x%7D%2B%5Csqrt%7B2-x%7D%3D1%2B%5Csqrt%7B2-x%7D%20%5C%5C%5Csqrt%7B5-2x%7D%20%3D%201%2B%5Csqrt%7B2-x%7D)
![5-2x=(1+\sqrt{2-x})^2\\5-2x=1+2\sqrt{2-x}+2-x\\2-x=2\sqrt{2-x}\\1-0.5x=\sqrt{2-x}\\(1-0.5x)^2=2-x\\1-x+0.25x^2=2-x\\0.25x^2-1=0\\0.25x^2 = 1\\x^2 = 4\\x = +/-2](https://tex.z-dn.net/?f=5-2x%3D%281%2B%5Csqrt%7B2-x%7D%29%5E2%5C%5C5-2x%3D1%2B2%5Csqrt%7B2-x%7D%2B2-x%5C%5C2-x%3D2%5Csqrt%7B2-x%7D%5C%5C1-0.5x%3D%5Csqrt%7B2-x%7D%5C%5C%281-0.5x%29%5E2%3D2-x%5C%5C1-x%2B0.25x%5E2%3D2-x%5C%5C0.25x%5E2-1%3D0%5C%5C0.25x%5E2%20%3D%201%5C%5Cx%5E2%20%3D%204%5C%5Cx%20%3D%20%2B%2F-2)
x= -2, 2
<span>Yo se la respuesta. será c
Good luck and have a nice day!</span>