Answer:
<h3>The requirement that must be satisfied for a sample to be random is <u>" Each individual has an equal chance of being selected "</u></h3>
Step-by-step explanation:
<h3>The requirement that must be satisfied for a sample to be random is <u>" Each individual has an equal chance of being selected "</u></h3><h3>Therefore option a) " Each individual has an equal chance of being selected " is correct</h3>
- Simple random sampling is a method used to cull a smaller sample size from a larger population
- The uses of a simple random sample is easy to use and it is used in the accurate representation of the larger population
Given:
The equation of a linear function is:
![y=-\dfrac{2}{3}x-1](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B2%7D%7B3%7Dx-1)
To find:
The y-intercept and slope of the given equation, then draw the graph of the equation.
Solution:
Slope intercept form of a line is:
...(i)
Where, m is the slope and b is the y-intercept
We have,
...(ii)
On comparing (i) and (ii), we get
![m=-\dfrac{2}{3}](https://tex.z-dn.net/?f=m%3D-%5Cdfrac%7B2%7D%7B3%7D)
![b=-1](https://tex.z-dn.net/?f=b%3D-1)
Therefore, the y-intercept is -1 and the slope of the line is
.
It means the graph intersect the y-axis at point (0,-1) and having slope
. So, the graph of the equation is shown below.
Answer: 1) 2.059
2) 3.220
<u>Step-by-step explanation:</u>
1) log₆ 40
= log₆(5 x 8)
= log₆5 + log₆8
= 0.898 + 1.161
= 2.059
2) log₆ 320
= log₆ (40 x 8)
= log₆40 + log₆8
= 2.059 + 1.161
= 3.220
4/11 is equivalent to the fraction 0.363636.... I got this answer by dividing the 4 in 11 groups, or doing the equation, 4<span>÷11</span>
Answer:
Use the pythagorean theorem to solve.
Step-by-step explanation:
![2^{2}+3^{2}=c^2\\4+9=c^2\\13=c^2\\\\\\sqrt{13} =\sqrt{c^2}](https://tex.z-dn.net/?f=2%5E%7B2%7D%2B3%5E%7B2%7D%3Dc%5E2%5C%5C4%2B9%3Dc%5E2%5C%5C13%3Dc%5E2%5C%5C%5C%5C%5C%5Csqrt%7B13%7D%20%3D%5Csqrt%7Bc%5E2%7D)
The square root and the square cancel out. Then your answer will be the square root of 13 or 3.60555127546. Since the instructions say to round to 2 places we will do so. 3.61 meters is the length of the slide