Answer:
3, 6, and 15
Step-by-step explanation:
Notice that if 60 is a multiple, the numbers in question could have the same factors as 60.
So let's look at 60's prime factors:
60 = 2 * 2 * 3 * 5
we also know that 3 is a factor, so the factor 3 must be included in all three options, we also know that 4 is NOT a factor, so both factors 2 cannot be included (but only one of them could).
So, in order to build the lowest possible numbers that verify such conditions, we can use:
3
3 * 2 = 6
since 3 or 2 cannot be repeated, the next smaller would be:
3 * 5 = 15
The equation of line passing through points (4.5. 0) and (0, 9) is y = -2x + 9.
<h3>What is the equation of a line passing through two given points in a 2-dimensional plane?</h3>
Suppose the given points are (x_1, y_1) and (x_2, y_2), then the equation of the straight line joining both two points is given by
![(y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)](https://tex.z-dn.net/?f=%28y%20-%20y_1%29%20%3D%20%5Cdfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%20%28x%20-x_1%29)
The graph of the picture shows two clear points (4.5. 0) and (0, 9)
![(y - 0) = \dfrac{9 - 0}{0 - 4.5} (x -4.5)\\\\\\(y - 0) = \dfrac{9 }{- 4.5} (x -4.5)\\\\\\-4.5y = 9(x -4.5)\\\\-4.5y = 9x - 40.5\\\\y = -2x + 9](https://tex.z-dn.net/?f=%28y%20-%200%29%20%3D%20%5Cdfrac%7B9%20-%200%7D%7B0%20-%204.5%7D%20%28x%20-4.5%29%5C%5C%5C%5C%5C%5C%28y%20-%200%29%20%3D%20%5Cdfrac%7B9%20%7D%7B-%204.5%7D%20%28x%20-4.5%29%5C%5C%5C%5C%5C%5C-4.5y%20%3D%209%28x%20-4.5%29%5C%5C%5C%5C-4.5y%20%3D%209x%20-%2040.5%5C%5C%5C%5Cy%20%3D%20-2x%20%2B%209)
Hence, the equation of line passing through points (4.5. 0) and (0, 9) is y = -2x + 9.
Learn more about straight-line equations here:brainly.com/question/380976
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The range is the simplest measure of variation . It is the difference between the biggest and smallest random variable.
Range= maximum value - minimum value
ex. Therefore in the range of these variables: (2,4,4,7} you would do 7 minus 2
Answer:
The degree of freedom = 16
Step-by-step explanation:
In conducting hypothesis tests where the population standard deviation isn't known, the t-distribution is used to obtain critical value and p-value of the distribution.
To use the t-distribution, the degree of freedom of the test is usually required.
The degree of freedom refers to the maximum number of independent variables, values or parameters, that are allowed to vary in the sample data.
The degree of freedom for a paired test with the same sample size for the two pairs, is given mathematically as
df = n - 1
where n = Sample size = 17
df = 17 - 1 = 16
Hope this Helps!!!